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Journal of Mechanical Science and Technology 22 (2008) 1490~1498
www.springerlink.com/content/1738-494x
DOI 10.1007/s12206-008-0413-x
Journal of
Mechanical
Science and
Technology
Development of a wall-climbing robot using a tracked wheel mechanism
Hwang Kim, Dongmok Kim, Hojoon Yang, Kyouhee Lee, Kunchan Seo,
Doyoung Chang and Jongwon Kim*
School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, Korea
(Manuscript Received July 30, 2007; Revised March 27, 2008; Accepted April 16, 2008)
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Abstract
In this paper, a new concept of a wall-climbing robot able to climb a vertical plane is presented. A continuous loco-
motive motion with a high climbing speed of 15m/min is realized by adopting a series chain on two tracked wheels on
which 24 suction pads are installed. While each tracked wheel rotates, the suction pads which attach to the vertical
plane are activated in sequence by specially designed mechanical valves. The engineering analysis and detailed mecha-
nism design of the tracked wheel, including mechanical valves and the overall features, are described in this paper. It is
a self-contained robot in which a vacuum pump and a power supply are integrated and is controlled remotely. The
climbing performance, using the proposed mechanism, is evaluated on a vertical steel plate. Finally, the procedures are
presented for an optimization experiment using Taguchi methodology to maximize vacuum pressure which is a critical
factor for suction force.
Keywords: Climbing robot; Suction pad; Tracked wheel; Mechanical valve; Taguchi methodology
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1. Introduction
The application of mobile robots in high places do-
ing work such as cleaning outer walls of high-rise
buildings, construction work, painting large vessels
and inspecting storage tanks in nuclear power plants
is required because they are currently performed pre-
dominantly by human operators and are extremely
dangerous. For this reason, as a specific research field
of mobile robotics, a number of climbing robots ca-
pable of climbing vertical surfaces have been re-
searched and developed all over the world [1-4]. Most
climbing robots developed at the present can be clas-
sified into two main functions: locomotion and adhe-
sion. With an adhesive mechanism, climbing robots
can attach to the wall by using suction force, mag-
netic force, micro-spines for interlocking and van der
Waals force. The mechanism using magnetic force is
only available when the climbing environment is
composed of a ferromagnetic surface [4].
A robot using a micro-spine is able to attach to
rough surfaces well, but cannot perform on a smooth
surface like glass walls and ceilings [5]. A robot using
van der Waals force mimics a Gecko’s dry adhesion.
This mechanism is novel and it requires no power for
adhesion, but the value of the adhesion force is
greatly affected by surface roughness, so it needs
more research to insure its robustness actually [6].
Suction pads are widely used for industrial purposes
and the most currently applicable and robust com-
pared to other adhesive mechanisms.
In the case of locomotive mechanisms, they can
generally be divided into legged mechanisms, sliding
mechanisms and tracked wheel mechanisms. The
advantage of the climbing robots employing a legged
mechanism is that they can overcome uneven surfaces
[2, 7]. But, they are comparatively heavy and the
control system is complicated due to the number of
actuators and gait control. These problems result in
low speeds with discontinuous motion. Meanwhile,
the realization of the sliding mechanism is relatively
*
Corresponding author. Tel.: +82 2 880 7138, Fax.: +82 2 875 4848
E-mail address: jongkim@snu.ac.kr
© KSME & Springer 2008
H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498 1491
simple in comparison with legged mechanisms, but
its speed is also low due to discontinuous motion [3,
8]. Cleanbot II, developed by Zhu and Sun [1], which
uses a tracked wheel mechanism, can move relatively
fast with continuous motion. It employs a chain-track
on which 52 suction pads are installed and each suc-
tion pad is controlled by a solenoid valve. But this
robot has a large size, with a length of 720 mm, a
width of 370 mm, and a height of 390 mm. It also has
a heavy weight of 22kg, even if a power supply and a
vacuum pump are not included in the robot. Further-
more, the maximum speed is 8m/min in spite of using
the tracked wheel mechanism.
In this paper, a new concept of a climbing robot
able to climb a vertical wall with continuous motion
is presented. The locomotive motion with a high
climbing speed is realized by adopting a series chain
of two tracked wheels on which 24 suction pads are
installed. Mechanical valves, installed on the robot
instead of solenoid valves to control vacuum supply
into suction pads, contributed to the improvement in
climbing speed. It is a self-contained robot in which a
vacuum pump and a power supply are integrated.
In this paper, the main mechanical structure based
on engineering design [9], a wireless control and
working principle of the tracked wheel mechanism
are described, and then engineering analyses about
the required suction force and the tendency of vac-
uum pressure in our system are presented. Experi-
mental results such as climbing speed and payloads
are described, and then the climbing performance
using the proposed mechanism is verified. Finally, an
optimization experiment to maximize vacuum pres-
sure and minimize the fluctuation of vacuum pressure
of the suction pads using Taguchi methodology is
presented.
2. Design of robot system
2.1 Mechanical structure
As shown in Fig. 1, the robot is composed of a
main frame and a tracked wheel system. On the main
frame, a vacuum pump, power supply, control mod-
ule and actuation set for driving are installed. The
tracked wheel system is basically made up of a timing
belt and pulley. Twelve suction pads and mechanical
valves are installed on the outer surface of each tim-
ing belt and a guiding rail and profile cam, which
guide the movement of suction pads according to
Table 1. Specifications of the robot.
Items Specification
Dimension
460 mm ⅹ460 mm ⅹ
200 mm
Weight (including vacuum pump,
power supply)
Approx. 14 kg
Max. climbing speed 15 m/min
Driving motor
1EA, Faulhaber BLDC,
200W (111:1)
Power supply
Li-ion polymer battery
(25.9 V, 11 Ah)
Suction pad 24 EA, Ø60 mm
Vacuum pump
1 EA, N838_DC, KNF
Max. flow rate: 32 L/min
Max. vacuum pressure: 100
mbar abs.
Suction pad
Wireless control module
Mechanical valveVacuum pump
Driving motor
Rotary joint
Pulley
Timing belt
Suction pad
Wireless control module
Mechanical valveVacuum pump
Driving motor
Rotary joint
Pulley
Timing belt
Fig. 1. Overall structure of climbing robot.
Controller(MR-C3000)
Bluetooth (ESD110)
BLDC Driver (SBDM-1)
TTL Signal
RS232
Bluetooth (SD100)
RS232
PC (GUI)
Operator
Wireless data
Wall climbing robot
Controller(MR-C3000)
Bluetooth (ESD110)
BLDC Driver (SBDM-1)
TTL Signal
RS232
Bluetooth (SD100)
RS232
PC (GUI)
Operator
Wireless data
Wall climbing robot
Controller(MR-C3000)
Bluetooth (ESD110)
BLDC Driver (SBDM-1)BLDC Driver (SBDM-1)
TTL Signal
RS232
Bluetooth (SD100)
RS232
PC (GUI)PC (GUI)
Operator
Wireless data
Wall climbing robotWall climbing robot
Fig. 2. Schematic of wireless control system.
wheel rotation and control the operation of mechani-
cal valves, are fixed between wheel axes. Rotary
joints located on either side of the robot prevent
pneumatic tubes that link the vacuum pump to suction
pads from twisting through wheel rotation. The rear
axis of the wheel is connected to a geared BLDC
motor and the power supply is installed at the bottom
of the main frame. The main specifications of the
robot are shown in Table 1.
1492 H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498
2.2 Wireless control system
Since the on/off control of the valve is mechani-
cally operated by wheel rotation, only the control of
the driving motor such as start/ stop motion, change
of direction and speed change is necessary. As shown
in Fig. 2, connectors which follow Bluetooth v.1.2
protocol and the micro-controller which commands
the BLDC motor driver are employed.
3. Working principle of tracked wheel mecha-
nism
As mentioned above, the robot employs tracked
wheels as the locomotive mechanism. It can move
continuously as compared to climbing robots using a
legged mechanism or sliding mechanism and that is
why the climbing speed of this robot has been im-
proved. The maximum climbing speed of our tracked
wheel robot reaches 15 m/min.
As shown in Fig. 3, 12 suction pads and mechani-
cal valves are installed on the outer surface of each
timing belt and they are bolted with each follower. A
guiding rail helps the follower move according to the
wheel rotation without rocking from side to side. A
curved profile cam located between the guiding rails
controls the operation of mechanical valves. At the
beginning, the mechanical valve is chocked because
the spring inside of the valve closes up an opening. If
a roller bearing located on the end of the valve is
pushed down by the curved profile cam, free flow
occurs between the vacuum pump and suction pad,
and the suction pad attaches itself to the wall (Fig. 4).
The shape of the profile cam is designed to push
the roller bearing when the suction pad approaches
the wall and then the pad surface becomes parallel
with the surface of the wall. Conversely, it releases
the roller when the suction pad withdraws from the
Fig. 3. Tracked wheel system.
wall. This repetition of on/off operation of the valve
enables the robot to climb the wall with fast and con-
tinuous motion.
4. Analysis
4.1 Analysis of the required suction force
To prevent the climbing robot from falling or slip-
ping, sufficient suction force able to sustain the ro-
bot’s weight is required. In this section, the conditions
to prevent the robot’s falling or slipping are addressed.
Fig. 5 shows the forces applied to the robot, when
the robot attaches to a vertical steel plate.
Fig. 4. Working principle of mechanical valve.
Fig. 5. Forces applied to the robot.
H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498 1493
From a free body diagram of the robot as shown in
Fig. 5, four equations for force and moment equilib-
rium are obtained. The force equilibrium in the x-
direction is
3
1
3 0vi
i
N V
=
− =∑ (1)
Where V denotes vacuum force acting on each suc-
tion pad and viN represents normal reaction force
acting on each suction pad. Likewise, the force equi-
librium in the y-direction is
3
1
0vi
i
N Wµ
=
− =∑ (2)
where W means weight of the robot and µ denotes
the friction coefficient. The moment equilibrium
which bases point O in the z-direction is
2 1( ) 2 ( ) 0HW D N V D N V+ − + − = (3)
where D is the distance between two neighboring
suction pads and H represents the distance from a
wall to the center of gravity of the robot.
By assuming the robot is considered as a rigid body
and the values of reaction forces acting on suction
pads are in linear relation to each other, one more
equation can be obtained. This is represented by
1 3
2
2
N N
N
+
= (4)
From these equations, the conditions to prevent the
robot from falling or slipping can be obtained. Firstly,
to prevent the robot from falling, the value of the
reaction force should be positive.
0iN ≥ (5)
Then, the smallest reaction force, 1N , can be ob-
tained by solving (1)–(4) and (5) can be applied as
follows:
1 0
2
WH
N V
D
= − ≥ (6)
From (6), H is in proportion to 1N and D is
in inverse proportion to 1N . This means that the
further the distance between two neighboring suction
pads and the closer the distance from the wall to the
center of gravity of the robot, the stronger the suction
force obtained.
Secondly, to prevent the robot from slipping, the
friction force should be greater than the gravitational
force.
3
1
0i
i
N Wµ
=
− ≥∑ (7)
Substituting (1) into (7) yields the following result.
3
W
V
µ
≥ (8)
Clearly, the robot will not fall or slip when the suc-
tion force satisfies the conditions of (6) and (8). When
it comes to our robot, the total weight (W ) is 14 kg,
the distance between two neighboring suction pad
( D ) is 65mm, the distance from a wall to the center
of gravity of the robot ( H ) is 80mm and the friction
coefficient ( µ ) between the steel wall and suction
pad is about 0.35. By substituting these values into (6),
the required suction force not to fall is given as 84.38
N and the required suction force not to slip is given as
130.34 N. Therefore, the required suction force per
pad not to slip or fall is 65.17 N. Since the real suc-
tion force used in the robot is about 137.2 N at the
pressure of 400 mbar, it guarantees a safety factor of
2.12.
4.2 Tendency of vacuum pressure change
The vacuum pressure from the vacuum pump de-
termines the suction force in the robot system. There-
fore, a vacuum pressure able to maintain the required
suction force is necessary in order to sustain the
weight of the robot. In addition, there should not be
any air leakage because the 24 suction pads used in
the robot system are connected directly to the vacuum
pump. In this robot system, the vacuum pump sucks
the air that comes under volume inside the suction
pad and the mechanical valve whenever different
suction pads attach to the wall continuously by wheel
rotation. From this periodic addition of the volume,
fluctuation of pressure occurs which can exert a bad
effect on the climbing performance of the robot.
To grasp the tendency of the pressure change, the
simplified condition is modeled in Fig. 6.
For this basic model, the following equations are
1494 H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498
Fig. 6. Model of air flow.
Fig. 7. Performance curve of the vacuum pump..
applied [10].
( / )Q PS P dV dt= = (9)
where Q is gas throughput defined as the product of
the pumping speed S , and the inlet pressure P , of
the pipe. From Fig. 6, the throughput can be consid-
ered as
1 2( )Q C P P= − (10)
where C is the conductance that depends on the
kind of flow and the geometry of the pipe.
When there is only exhaust at chamber1, then the
throughput balance equation based on (9) and (10)
can be written as follows:
1
1 1 1 2( )
dP
V SP C P P
dt
= − − − (11)
2
2 1 2( )
dP
V C P P
dt
= − (12)
When the robot climbs a vertical wall, Six suction
pads are always attached to the wall and a different
pair of suction pads repeats being attached and de-
tached by turns. The former volume is selected as 1V
and the latter volume is selected as 2V . Fig. 7 shows
Fig. 8. Expected tendency of the pressure change.
Command
- Forward/backward motion
- Velocity
Pressure sensor (PSE510,SMC)
Pressure data
Data Acquisition (DAQ,NI)
Bluetooth
Steel plate (2m), Safety wire
Command
- Forward/backward motion
- Velocity
Command
- Forward/backward motion
- Velocity
Pressure sensor (PSE510,SMC)Pressure sensor (PSE510,SMC)
Pressure dataPressure data
Data Acquisition (DAQ,NI)Data Acquisition (DAQ,NI)
Bluetooth
Steel plate (2m), Safety wireSteel plate (2m), Safety wire
Fig. 9. Experimental setup.
a performance curve of the vacuum pump used in the
robot. The volume flow rate (pumping speed) of the
pump depends on the pressure. Fig. 8 shows the rela-
tionship between the pressure and time. The fact that
pump pressure fluctuates with time when a regular
volume is added periodically to the working vacuum
pump is proven through this simplified simulation.
This simulation is just to grasp the tendency of the
pressure. The real value will be more critical because
the shape of the pipe, the effect of the orifice and the
minute leakage which determine the value of the con-
ductance, are not considered.
5. Preliminary experiment
To confirm the climbing performance of the robot
and to recognize the real pressure change, several
experiments were conducted as shown in Fig. 9. The
maximum climbing speed was measured at about
15m/min. While the robot is stopped, the loading
capacity was about 200 N. The pressure applied to a
single suction pad was measured as shown in Fig. 10.
The result shown is different than anticipated. The
vacuum pump is not capable of sucking the air into
the pump rapidly. This serious problem can lead to
H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498 1495
0
100
200
300
400
500
600
700
800
900
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39
Sampling point
Pressure(mbar)
Fig. 10. Pressure change of a single suction pad (at a speed of
11.7 m/min).
the robot falling or slipping because the required suc-
tion force to sustain the weight of the robot is not
satisfied. An optimization experiment to improve this
problem is discussed in the next part of this paper.
6. Optimization experiment
6.1 Taguchi methodology
To find an optimal design parameter by experiment,
the most frequently used approach is a full factorial
experiment. But this approach is time-consuming
when there are many design factors. Taguchi meth-
odology makes use of an experimental process for
finding an optimal design. In this method, all factors
affecting the performance quality can be classified
into two types, such as control factor and noise factor.
The former, being most important in determining the
quality of product characteristics, can be determined
by the experimenter and are easily controllable. The
main issue is to find the control factors and determine
their appropriate levels. For the robot system, typical
control factors include the diameter of the pneumatic
tube, the configuration of the profile cam, and the
number of air tunnels inside the valve. The others, on
the other hand, are undesired parameters that are dif-
ficult and impossible to control, such as climbing
speed in the case of this experiment [11, 12]. Our
experiment using Taguchi methodology follows the
process as shown in Fig. 11.
6.2 Objectives and quality characteristics
From the preliminary experiment, the tendency of
pressure change was not uniform and more critical
than expectations. Maximizing vacuum pressure and
minimizing the fluctuation of the pressure are deter-
Identify the control factors and the noise factors affecting the objectives
Determine the objectives and define the quality characteristic
Identify the levels of each factor
Analyze the effect of each factor and determine the optimal levels
Design an appropriate orthogonal array
Conduct the experiments
Undertake a confirmatory run of the experiment
Identify the control factors and the noise factors affecting the objectives
Determine the objectives and define the quality characteristic
Identify the levels of each factor
Analyze the effect of each factor and determine the optimal levels
Design an appropriate orthogonal array
Conduct the experiments
Undertake a confirmatory run of the experiment
Identify the control factors and the noise factors affecting the objectives
Determine the objectives and define the quality characteristic
Identify the levels of each factor
Analyze the effect of each factor and determine the optimal levels
Design an appropriate orthogonal array
Conduct the experiments
Undertake a confirmatory run of the experiment
Fig. 11. The process of Taguchi methodology.
mined as objectives to obtain the best climbing per-
formance. As a quality characteristic, a smaller-the-
better characteristic, in which the desired goal is to
obtain a measure of zero, is applied to this experiment.
2
1
1 1
( )
n
i i
Y
n P=
= ∑ (13)
where n means the number of experimental data
and iP is the vacuum pressure.
6.3 Control factors and noise factors
The objective of this experiment focuses on maxi-
mizing vacuum pressure and minimizing fluctuation
of the pressure. Eventually, on/off timing of the valve
and the air flow may have a significant impact on the
pressure change. Therefore, three control factors are
chosen: the diameter of the pneumatic tube, the con-
figuration of the profile cam and the number of air
tunnels inside the valve. In the case of the number of
levels, three levels for each control factor are deter-
mined for fine tuning. The control factors and the
levels are shown in Fig. 12 and Table 2. Meanwhile,
the climbing speed is selected as a noise factor be-
cause the speed is not controllable and could have a
desirable or undesirable effect on the vacuum pres-
sure. The number of levels for the noise factor is fixed
at two levels, which have a low speed and a high
speed.
6.4 Orthogonal array
An orthogonal array is the basis for designing an
experiment using Taguchi methodology. Unlike a full
factorial experiment, an experiment based on an or-
1496 H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498
Table 2. Control factors and noise factors.
Factor Control factor
Noise
factor
Item
Diameter of
pneumatic
tube (A)
Number of
valve air
tunnels (B)
Configuration
of cam
profile (C)
Climbing
speed
Level1 8 mm 0 (5.13 mm2
) 47°
11.7
m/min
Level2 6 mm 1 (10.03 mm2
) 55.8° 5.2 m/min
Level3 4 mm 2 (14.98 mm2
) 40°
Fig. 12. Control factor features.
thogonal array is very efficient. 4
9 (3 )L , which is the
most commonly used 3n
array, is selected because
the number of control factors is three and there are
three levels. Nine trials are carried out using the or-
thogonal array.
6.5 The experiments and analysis
From the experimental setup shown in Fig. 9, a
pressure sensor is connected with a suction pad. The
experiment is conducted by replacing each control
factor and level shown in Table 2 based on the or-
thogonal array. Since the quality characteristic of this
experiment is “the smaller the better,” the equation
for calculating the S/N ratio of this formulation is as
follows.
2
1
1
/ 10log( )
k
smaller the better ij
j
S N Y
k
− −
=
= − ∑ (14)
where 1,2k = means the level of noise factors, and
1,2, 9i = presents the number of experiments
based on the orthogonal array. Table 3 presents the
results of the experiment. S/N ratios for each experi-
ment can be obtained by (14). To produce the most
desired results, it is necessary to identify control fac-
tors that have a strong effect on pressure. Since the
effect of each control factor is the same as the differ-
ence between the average S/N ratio for each level, it
can be presented by calculating the average experi-
mental result for each level of control factor.
Table 3. Experimental data.
Control factor Output Y
A B C High speed Low speed
S/N Ratio
(dB)
1 1 1 1 4.15 3.16 -11.33
2 1 2 2 5.03 3.61 -12.82
3 1 3 3 5.82 5.74 -15.24
4 2 1 2 3.64 2.71 -10.12
5 2 2 3 5.53 2.99 -12.96
6 2 3 1 5.77 4.72 -14.44
7 3 1 3 4.30 4.60 -12.97
8 3 2 1 7.41 5.89 -16.52
9 3 3 2 4.90 4.32 -13.29
Table 4. Response table (Significant factors in bold).
Level¥Control factor A B C
1 -13.13 -11.47 -14.09
2 -12.51 -14.1 -12.08
3 -14.26 -14.32 -13.72
Difference 1.75 2.85 2.02
For example, -13.13 dB can be obtained by averag-
ing the values of S/N ratios, which come under level
1 of control factor A. These results are shown in the
response table (Table 4) and graph (Fig. 13) below.
The gap between extreme values informs how
strongly the control factor impacts the quality charac-
teristic. From Table 4, B has the strongest influence
and A has the weakest influence on the value of S/N
ratio. Thus, the combination of B1, C2, and A2 is
recommended to get a high S/N ratio. Based on the
selected levels having strong effects, an estimate of
the predicted response can be computed. The calcula-
tions are based on the overall average experimental
value defined as T .
9
1
1
( / ) 13.30
9
i
i
T S N
=
= = −∑ (15)
Finally, prediction equation µ , defined as pre-
dicted S/N ratio based on the selected levels of the
strong effects, can be written as (16).
( 2 ) ( 1 ) ( 2 ) 9.46T A T B T C Tµ = + − + − + − = − (16)
H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498 1497
Fig. 13. Response graph.
0
100
200
300
400
500
600
700
800
900
1000
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94
Sampling point
Pressure(mbar)
0
100
200
300
400
500
600
700
800
900
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39
Sampling point
Pressure(mbar)
Optimized experimental result
Preliminary experimental result
Optimized experimental result
Preliminary experimental result
0
100
200
300
400
500
600
700
800
900
1000
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94
Sampling point
Pressure(mbar)
0
100
200
300
400
500
600
700
800
900
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39
Sampling point
Pressure(mbar)
0
100
200
300
400
500
600
700
800
900
1000
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94
Sampling point
Pressure(mbar)
0
100
200
300
400
500
600
700
800
900
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39
Sampling point
Pressure(mbar)
Optimized experimental result
Preliminary experimental result
Optimized experimental result
Preliminary experimental result
11.7 m/min
5.2 m/min
0
100
200
300
400
500
600
700
800
900
1000
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94
Sampling point
Pressure(mbar)
0
100
200
300
400
500
600
700
800
900
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39
Sampling point
Pressure(mbar)
Optimized experimental result
Preliminary experimental result
Optimized experimental result
Preliminary experimental result
0
100
200
300
400
500
600
700
800
900
1000
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94
Sampling point
Pressure(mbar)
0
100
200
300
400
500
600
700
800
900
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39
Sampling point
Pressure(mbar)
0
100
200
300
400
500
600
700
800
900
1000
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94
Sampling point
Pressure(mbar)
0
100
200
300
400
500
600
700
800
900
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39
Sampling point
Pressure(mbar)
Optimized experimental result
Preliminary experimental result
Optimized experimental result
Preliminary experimental result
11.7 m/min
5.2 m/min
Fig. 14. Optimized results of vacuum pressure.
From these results, the recommended setting can be
implemented because the actual results are close to
the predicted results. Fig. 14 shows the improved
result of the vacuum pressure using optimized factors.
The total mean value of the vacuum pressure in-
creased by 23.3% (143 mbar) and the gap between
maximum pressure and minimum pressure decreased
by 44% (208 mbar) at the speed of 11.7 m/min. When
the speed is 5.3 m/min, the vacuum pressure increases
by 35% (205 mbar) and the gap decreases by 12.7%
(57 mbar).
7. Conclusion and future work
In this paper, a wall-climbing robot using a tracked
wheel mechanism was presented. Continuous loco-
motive motion with high climbing speed is achieved
by employing tracked wheels on which suction pads
are installed. The engineering analysis and detailed
mechanism design of the tracked wheel, including
mechanical valves, was described. The climbing per-
formance on a vertical steel plate using the proposed
mechanism was evaluated. Finally, the procedures of
an optimization experiment using Taguchi methodol-
ogy to maximize vacuum pressure were introduced.
From this experiment, performance related to suction
force was improved and design parameters were op-
timized.
Now, a new research to develop a novel climbing
robot able to adhere to rough surfaces and climb a 3-
dimensional complex wall is in progress.
Acknowledgment
This work was supported by Brain Korea 21 pro-
gram and Seoul R&BD program of Korea.
References
[1] J. Zhu nd D. Sun, S. Tso, 2002, Development of a
tacked cimbing rbot, Journal of Intelligent and Ro-
botic Systems, 35 (4) 427-443.
[2] S. Hirose, A. Nagakubo and R. Toyama, Machine
that can walk and climb on floors, walls and ceil-
ings, Proceedings of 5th
International Conference on
Advanced Robotics, 1 (1991) 753-758.
[3] H. Choi, J. Park, and T. Kang, A self-contained
wall climbing robot with closed link mechanism,
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Böhme, T. Felsch and T. Stürze, SIRIUSc – Façade
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ference on Robotics and Biomimetics, 375-380
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[16] http://rodel.snu.ac.kr/wallclimbingrobot.asp

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  • 1. Journal of Mechanical Science and Technology 22 (2008) 1490~1498 www.springerlink.com/content/1738-494x DOI 10.1007/s12206-008-0413-x Journal of Mechanical Science and Technology Development of a wall-climbing robot using a tracked wheel mechanism Hwang Kim, Dongmok Kim, Hojoon Yang, Kyouhee Lee, Kunchan Seo, Doyoung Chang and Jongwon Kim* School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, Korea (Manuscript Received July 30, 2007; Revised March 27, 2008; Accepted April 16, 2008) -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- Abstract In this paper, a new concept of a wall-climbing robot able to climb a vertical plane is presented. A continuous loco- motive motion with a high climbing speed of 15m/min is realized by adopting a series chain on two tracked wheels on which 24 suction pads are installed. While each tracked wheel rotates, the suction pads which attach to the vertical plane are activated in sequence by specially designed mechanical valves. The engineering analysis and detailed mecha- nism design of the tracked wheel, including mechanical valves and the overall features, are described in this paper. It is a self-contained robot in which a vacuum pump and a power supply are integrated and is controlled remotely. The climbing performance, using the proposed mechanism, is evaluated on a vertical steel plate. Finally, the procedures are presented for an optimization experiment using Taguchi methodology to maximize vacuum pressure which is a critical factor for suction force. Keywords: Climbing robot; Suction pad; Tracked wheel; Mechanical valve; Taguchi methodology -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 1. Introduction The application of mobile robots in high places do- ing work such as cleaning outer walls of high-rise buildings, construction work, painting large vessels and inspecting storage tanks in nuclear power plants is required because they are currently performed pre- dominantly by human operators and are extremely dangerous. For this reason, as a specific research field of mobile robotics, a number of climbing robots ca- pable of climbing vertical surfaces have been re- searched and developed all over the world [1-4]. Most climbing robots developed at the present can be clas- sified into two main functions: locomotion and adhe- sion. With an adhesive mechanism, climbing robots can attach to the wall by using suction force, mag- netic force, micro-spines for interlocking and van der Waals force. The mechanism using magnetic force is only available when the climbing environment is composed of a ferromagnetic surface [4]. A robot using a micro-spine is able to attach to rough surfaces well, but cannot perform on a smooth surface like glass walls and ceilings [5]. A robot using van der Waals force mimics a Gecko’s dry adhesion. This mechanism is novel and it requires no power for adhesion, but the value of the adhesion force is greatly affected by surface roughness, so it needs more research to insure its robustness actually [6]. Suction pads are widely used for industrial purposes and the most currently applicable and robust com- pared to other adhesive mechanisms. In the case of locomotive mechanisms, they can generally be divided into legged mechanisms, sliding mechanisms and tracked wheel mechanisms. The advantage of the climbing robots employing a legged mechanism is that they can overcome uneven surfaces [2, 7]. But, they are comparatively heavy and the control system is complicated due to the number of actuators and gait control. These problems result in low speeds with discontinuous motion. Meanwhile, the realization of the sliding mechanism is relatively * Corresponding author. Tel.: +82 2 880 7138, Fax.: +82 2 875 4848 E-mail address: jongkim@snu.ac.kr © KSME & Springer 2008
  • 2. H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498 1491 simple in comparison with legged mechanisms, but its speed is also low due to discontinuous motion [3, 8]. Cleanbot II, developed by Zhu and Sun [1], which uses a tracked wheel mechanism, can move relatively fast with continuous motion. It employs a chain-track on which 52 suction pads are installed and each suc- tion pad is controlled by a solenoid valve. But this robot has a large size, with a length of 720 mm, a width of 370 mm, and a height of 390 mm. It also has a heavy weight of 22kg, even if a power supply and a vacuum pump are not included in the robot. Further- more, the maximum speed is 8m/min in spite of using the tracked wheel mechanism. In this paper, a new concept of a climbing robot able to climb a vertical wall with continuous motion is presented. The locomotive motion with a high climbing speed is realized by adopting a series chain of two tracked wheels on which 24 suction pads are installed. Mechanical valves, installed on the robot instead of solenoid valves to control vacuum supply into suction pads, contributed to the improvement in climbing speed. It is a self-contained robot in which a vacuum pump and a power supply are integrated. In this paper, the main mechanical structure based on engineering design [9], a wireless control and working principle of the tracked wheel mechanism are described, and then engineering analyses about the required suction force and the tendency of vac- uum pressure in our system are presented. Experi- mental results such as climbing speed and payloads are described, and then the climbing performance using the proposed mechanism is verified. Finally, an optimization experiment to maximize vacuum pres- sure and minimize the fluctuation of vacuum pressure of the suction pads using Taguchi methodology is presented. 2. Design of robot system 2.1 Mechanical structure As shown in Fig. 1, the robot is composed of a main frame and a tracked wheel system. On the main frame, a vacuum pump, power supply, control mod- ule and actuation set for driving are installed. The tracked wheel system is basically made up of a timing belt and pulley. Twelve suction pads and mechanical valves are installed on the outer surface of each tim- ing belt and a guiding rail and profile cam, which guide the movement of suction pads according to Table 1. Specifications of the robot. Items Specification Dimension 460 mm ⅹ460 mm ⅹ 200 mm Weight (including vacuum pump, power supply) Approx. 14 kg Max. climbing speed 15 m/min Driving motor 1EA, Faulhaber BLDC, 200W (111:1) Power supply Li-ion polymer battery (25.9 V, 11 Ah) Suction pad 24 EA, Ø60 mm Vacuum pump 1 EA, N838_DC, KNF Max. flow rate: 32 L/min Max. vacuum pressure: 100 mbar abs. Suction pad Wireless control module Mechanical valveVacuum pump Driving motor Rotary joint Pulley Timing belt Suction pad Wireless control module Mechanical valveVacuum pump Driving motor Rotary joint Pulley Timing belt Fig. 1. Overall structure of climbing robot. Controller(MR-C3000) Bluetooth (ESD110) BLDC Driver (SBDM-1) TTL Signal RS232 Bluetooth (SD100) RS232 PC (GUI) Operator Wireless data Wall climbing robot Controller(MR-C3000) Bluetooth (ESD110) BLDC Driver (SBDM-1) TTL Signal RS232 Bluetooth (SD100) RS232 PC (GUI) Operator Wireless data Wall climbing robot Controller(MR-C3000) Bluetooth (ESD110) BLDC Driver (SBDM-1)BLDC Driver (SBDM-1) TTL Signal RS232 Bluetooth (SD100) RS232 PC (GUI)PC (GUI) Operator Wireless data Wall climbing robotWall climbing robot Fig. 2. Schematic of wireless control system. wheel rotation and control the operation of mechani- cal valves, are fixed between wheel axes. Rotary joints located on either side of the robot prevent pneumatic tubes that link the vacuum pump to suction pads from twisting through wheel rotation. The rear axis of the wheel is connected to a geared BLDC motor and the power supply is installed at the bottom of the main frame. The main specifications of the robot are shown in Table 1.
  • 3. 1492 H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498 2.2 Wireless control system Since the on/off control of the valve is mechani- cally operated by wheel rotation, only the control of the driving motor such as start/ stop motion, change of direction and speed change is necessary. As shown in Fig. 2, connectors which follow Bluetooth v.1.2 protocol and the micro-controller which commands the BLDC motor driver are employed. 3. Working principle of tracked wheel mecha- nism As mentioned above, the robot employs tracked wheels as the locomotive mechanism. It can move continuously as compared to climbing robots using a legged mechanism or sliding mechanism and that is why the climbing speed of this robot has been im- proved. The maximum climbing speed of our tracked wheel robot reaches 15 m/min. As shown in Fig. 3, 12 suction pads and mechani- cal valves are installed on the outer surface of each timing belt and they are bolted with each follower. A guiding rail helps the follower move according to the wheel rotation without rocking from side to side. A curved profile cam located between the guiding rails controls the operation of mechanical valves. At the beginning, the mechanical valve is chocked because the spring inside of the valve closes up an opening. If a roller bearing located on the end of the valve is pushed down by the curved profile cam, free flow occurs between the vacuum pump and suction pad, and the suction pad attaches itself to the wall (Fig. 4). The shape of the profile cam is designed to push the roller bearing when the suction pad approaches the wall and then the pad surface becomes parallel with the surface of the wall. Conversely, it releases the roller when the suction pad withdraws from the Fig. 3. Tracked wheel system. wall. This repetition of on/off operation of the valve enables the robot to climb the wall with fast and con- tinuous motion. 4. Analysis 4.1 Analysis of the required suction force To prevent the climbing robot from falling or slip- ping, sufficient suction force able to sustain the ro- bot’s weight is required. In this section, the conditions to prevent the robot’s falling or slipping are addressed. Fig. 5 shows the forces applied to the robot, when the robot attaches to a vertical steel plate. Fig. 4. Working principle of mechanical valve. Fig. 5. Forces applied to the robot.
  • 4. H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498 1493 From a free body diagram of the robot as shown in Fig. 5, four equations for force and moment equilib- rium are obtained. The force equilibrium in the x- direction is 3 1 3 0vi i N V = − =∑ (1) Where V denotes vacuum force acting on each suc- tion pad and viN represents normal reaction force acting on each suction pad. Likewise, the force equi- librium in the y-direction is 3 1 0vi i N Wµ = − =∑ (2) where W means weight of the robot and µ denotes the friction coefficient. The moment equilibrium which bases point O in the z-direction is 2 1( ) 2 ( ) 0HW D N V D N V+ − + − = (3) where D is the distance between two neighboring suction pads and H represents the distance from a wall to the center of gravity of the robot. By assuming the robot is considered as a rigid body and the values of reaction forces acting on suction pads are in linear relation to each other, one more equation can be obtained. This is represented by 1 3 2 2 N N N + = (4) From these equations, the conditions to prevent the robot from falling or slipping can be obtained. Firstly, to prevent the robot from falling, the value of the reaction force should be positive. 0iN ≥ (5) Then, the smallest reaction force, 1N , can be ob- tained by solving (1)–(4) and (5) can be applied as follows: 1 0 2 WH N V D = − ≥ (6) From (6), H is in proportion to 1N and D is in inverse proportion to 1N . This means that the further the distance between two neighboring suction pads and the closer the distance from the wall to the center of gravity of the robot, the stronger the suction force obtained. Secondly, to prevent the robot from slipping, the friction force should be greater than the gravitational force. 3 1 0i i N Wµ = − ≥∑ (7) Substituting (1) into (7) yields the following result. 3 W V µ ≥ (8) Clearly, the robot will not fall or slip when the suc- tion force satisfies the conditions of (6) and (8). When it comes to our robot, the total weight (W ) is 14 kg, the distance between two neighboring suction pad ( D ) is 65mm, the distance from a wall to the center of gravity of the robot ( H ) is 80mm and the friction coefficient ( µ ) between the steel wall and suction pad is about 0.35. By substituting these values into (6), the required suction force not to fall is given as 84.38 N and the required suction force not to slip is given as 130.34 N. Therefore, the required suction force per pad not to slip or fall is 65.17 N. Since the real suc- tion force used in the robot is about 137.2 N at the pressure of 400 mbar, it guarantees a safety factor of 2.12. 4.2 Tendency of vacuum pressure change The vacuum pressure from the vacuum pump de- termines the suction force in the robot system. There- fore, a vacuum pressure able to maintain the required suction force is necessary in order to sustain the weight of the robot. In addition, there should not be any air leakage because the 24 suction pads used in the robot system are connected directly to the vacuum pump. In this robot system, the vacuum pump sucks the air that comes under volume inside the suction pad and the mechanical valve whenever different suction pads attach to the wall continuously by wheel rotation. From this periodic addition of the volume, fluctuation of pressure occurs which can exert a bad effect on the climbing performance of the robot. To grasp the tendency of the pressure change, the simplified condition is modeled in Fig. 6. For this basic model, the following equations are
  • 5. 1494 H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498 Fig. 6. Model of air flow. Fig. 7. Performance curve of the vacuum pump.. applied [10]. ( / )Q PS P dV dt= = (9) where Q is gas throughput defined as the product of the pumping speed S , and the inlet pressure P , of the pipe. From Fig. 6, the throughput can be consid- ered as 1 2( )Q C P P= − (10) where C is the conductance that depends on the kind of flow and the geometry of the pipe. When there is only exhaust at chamber1, then the throughput balance equation based on (9) and (10) can be written as follows: 1 1 1 1 2( ) dP V SP C P P dt = − − − (11) 2 2 1 2( ) dP V C P P dt = − (12) When the robot climbs a vertical wall, Six suction pads are always attached to the wall and a different pair of suction pads repeats being attached and de- tached by turns. The former volume is selected as 1V and the latter volume is selected as 2V . Fig. 7 shows Fig. 8. Expected tendency of the pressure change. Command - Forward/backward motion - Velocity Pressure sensor (PSE510,SMC) Pressure data Data Acquisition (DAQ,NI) Bluetooth Steel plate (2m), Safety wire Command - Forward/backward motion - Velocity Command - Forward/backward motion - Velocity Pressure sensor (PSE510,SMC)Pressure sensor (PSE510,SMC) Pressure dataPressure data Data Acquisition (DAQ,NI)Data Acquisition (DAQ,NI) Bluetooth Steel plate (2m), Safety wireSteel plate (2m), Safety wire Fig. 9. Experimental setup. a performance curve of the vacuum pump used in the robot. The volume flow rate (pumping speed) of the pump depends on the pressure. Fig. 8 shows the rela- tionship between the pressure and time. The fact that pump pressure fluctuates with time when a regular volume is added periodically to the working vacuum pump is proven through this simplified simulation. This simulation is just to grasp the tendency of the pressure. The real value will be more critical because the shape of the pipe, the effect of the orifice and the minute leakage which determine the value of the con- ductance, are not considered. 5. Preliminary experiment To confirm the climbing performance of the robot and to recognize the real pressure change, several experiments were conducted as shown in Fig. 9. The maximum climbing speed was measured at about 15m/min. While the robot is stopped, the loading capacity was about 200 N. The pressure applied to a single suction pad was measured as shown in Fig. 10. The result shown is different than anticipated. The vacuum pump is not capable of sucking the air into the pump rapidly. This serious problem can lead to
  • 6. H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498 1495 0 100 200 300 400 500 600 700 800 900 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 Sampling point Pressure(mbar) Fig. 10. Pressure change of a single suction pad (at a speed of 11.7 m/min). the robot falling or slipping because the required suc- tion force to sustain the weight of the robot is not satisfied. An optimization experiment to improve this problem is discussed in the next part of this paper. 6. Optimization experiment 6.1 Taguchi methodology To find an optimal design parameter by experiment, the most frequently used approach is a full factorial experiment. But this approach is time-consuming when there are many design factors. Taguchi meth- odology makes use of an experimental process for finding an optimal design. In this method, all factors affecting the performance quality can be classified into two types, such as control factor and noise factor. The former, being most important in determining the quality of product characteristics, can be determined by the experimenter and are easily controllable. The main issue is to find the control factors and determine their appropriate levels. For the robot system, typical control factors include the diameter of the pneumatic tube, the configuration of the profile cam, and the number of air tunnels inside the valve. The others, on the other hand, are undesired parameters that are dif- ficult and impossible to control, such as climbing speed in the case of this experiment [11, 12]. Our experiment using Taguchi methodology follows the process as shown in Fig. 11. 6.2 Objectives and quality characteristics From the preliminary experiment, the tendency of pressure change was not uniform and more critical than expectations. Maximizing vacuum pressure and minimizing the fluctuation of the pressure are deter- Identify the control factors and the noise factors affecting the objectives Determine the objectives and define the quality characteristic Identify the levels of each factor Analyze the effect of each factor and determine the optimal levels Design an appropriate orthogonal array Conduct the experiments Undertake a confirmatory run of the experiment Identify the control factors and the noise factors affecting the objectives Determine the objectives and define the quality characteristic Identify the levels of each factor Analyze the effect of each factor and determine the optimal levels Design an appropriate orthogonal array Conduct the experiments Undertake a confirmatory run of the experiment Identify the control factors and the noise factors affecting the objectives Determine the objectives and define the quality characteristic Identify the levels of each factor Analyze the effect of each factor and determine the optimal levels Design an appropriate orthogonal array Conduct the experiments Undertake a confirmatory run of the experiment Fig. 11. The process of Taguchi methodology. mined as objectives to obtain the best climbing per- formance. As a quality characteristic, a smaller-the- better characteristic, in which the desired goal is to obtain a measure of zero, is applied to this experiment. 2 1 1 1 ( ) n i i Y n P= = ∑ (13) where n means the number of experimental data and iP is the vacuum pressure. 6.3 Control factors and noise factors The objective of this experiment focuses on maxi- mizing vacuum pressure and minimizing fluctuation of the pressure. Eventually, on/off timing of the valve and the air flow may have a significant impact on the pressure change. Therefore, three control factors are chosen: the diameter of the pneumatic tube, the con- figuration of the profile cam and the number of air tunnels inside the valve. In the case of the number of levels, three levels for each control factor are deter- mined for fine tuning. The control factors and the levels are shown in Fig. 12 and Table 2. Meanwhile, the climbing speed is selected as a noise factor be- cause the speed is not controllable and could have a desirable or undesirable effect on the vacuum pres- sure. The number of levels for the noise factor is fixed at two levels, which have a low speed and a high speed. 6.4 Orthogonal array An orthogonal array is the basis for designing an experiment using Taguchi methodology. Unlike a full factorial experiment, an experiment based on an or-
  • 7. 1496 H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498 Table 2. Control factors and noise factors. Factor Control factor Noise factor Item Diameter of pneumatic tube (A) Number of valve air tunnels (B) Configuration of cam profile (C) Climbing speed Level1 8 mm 0 (5.13 mm2 ) 47° 11.7 m/min Level2 6 mm 1 (10.03 mm2 ) 55.8° 5.2 m/min Level3 4 mm 2 (14.98 mm2 ) 40° Fig. 12. Control factor features. thogonal array is very efficient. 4 9 (3 )L , which is the most commonly used 3n array, is selected because the number of control factors is three and there are three levels. Nine trials are carried out using the or- thogonal array. 6.5 The experiments and analysis From the experimental setup shown in Fig. 9, a pressure sensor is connected with a suction pad. The experiment is conducted by replacing each control factor and level shown in Table 2 based on the or- thogonal array. Since the quality characteristic of this experiment is “the smaller the better,” the equation for calculating the S/N ratio of this formulation is as follows. 2 1 1 / 10log( ) k smaller the better ij j S N Y k − − = = − ∑ (14) where 1,2k = means the level of noise factors, and 1,2, 9i = presents the number of experiments based on the orthogonal array. Table 3 presents the results of the experiment. S/N ratios for each experi- ment can be obtained by (14). To produce the most desired results, it is necessary to identify control fac- tors that have a strong effect on pressure. Since the effect of each control factor is the same as the differ- ence between the average S/N ratio for each level, it can be presented by calculating the average experi- mental result for each level of control factor. Table 3. Experimental data. Control factor Output Y A B C High speed Low speed S/N Ratio (dB) 1 1 1 1 4.15 3.16 -11.33 2 1 2 2 5.03 3.61 -12.82 3 1 3 3 5.82 5.74 -15.24 4 2 1 2 3.64 2.71 -10.12 5 2 2 3 5.53 2.99 -12.96 6 2 3 1 5.77 4.72 -14.44 7 3 1 3 4.30 4.60 -12.97 8 3 2 1 7.41 5.89 -16.52 9 3 3 2 4.90 4.32 -13.29 Table 4. Response table (Significant factors in bold). Level¥Control factor A B C 1 -13.13 -11.47 -14.09 2 -12.51 -14.1 -12.08 3 -14.26 -14.32 -13.72 Difference 1.75 2.85 2.02 For example, -13.13 dB can be obtained by averag- ing the values of S/N ratios, which come under level 1 of control factor A. These results are shown in the response table (Table 4) and graph (Fig. 13) below. The gap between extreme values informs how strongly the control factor impacts the quality charac- teristic. From Table 4, B has the strongest influence and A has the weakest influence on the value of S/N ratio. Thus, the combination of B1, C2, and A2 is recommended to get a high S/N ratio. Based on the selected levels having strong effects, an estimate of the predicted response can be computed. The calcula- tions are based on the overall average experimental value defined as T . 9 1 1 ( / ) 13.30 9 i i T S N = = = −∑ (15) Finally, prediction equation µ , defined as pre- dicted S/N ratio based on the selected levels of the strong effects, can be written as (16). ( 2 ) ( 1 ) ( 2 ) 9.46T A T B T C Tµ = + − + − + − = − (16)
  • 8. H. Kim et al. / Journal of Mechanical Science and Technology 22 (2008) 1490~1498 1497 Fig. 13. Response graph. 0 100 200 300 400 500 600 700 800 900 1000 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 Sampling point Pressure(mbar) 0 100 200 300 400 500 600 700 800 900 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 Sampling point Pressure(mbar) Optimized experimental result Preliminary experimental result Optimized experimental result Preliminary experimental result 0 100 200 300 400 500 600 700 800 900 1000 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 Sampling point Pressure(mbar) 0 100 200 300 400 500 600 700 800 900 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 Sampling point Pressure(mbar) 0 100 200 300 400 500 600 700 800 900 1000 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 Sampling point Pressure(mbar) 0 100 200 300 400 500 600 700 800 900 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 Sampling point Pressure(mbar) Optimized experimental result Preliminary experimental result Optimized experimental result Preliminary experimental result 11.7 m/min 5.2 m/min 0 100 200 300 400 500 600 700 800 900 1000 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 Sampling point Pressure(mbar) 0 100 200 300 400 500 600 700 800 900 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 Sampling point Pressure(mbar) Optimized experimental result Preliminary experimental result Optimized experimental result Preliminary experimental result 0 100 200 300 400 500 600 700 800 900 1000 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 Sampling point Pressure(mbar) 0 100 200 300 400 500 600 700 800 900 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 Sampling point Pressure(mbar) 0 100 200 300 400 500 600 700 800 900 1000 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 Sampling point Pressure(mbar) 0 100 200 300 400 500 600 700 800 900 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 Sampling point Pressure(mbar) Optimized experimental result Preliminary experimental result Optimized experimental result Preliminary experimental result 11.7 m/min 5.2 m/min Fig. 14. Optimized results of vacuum pressure. From these results, the recommended setting can be implemented because the actual results are close to the predicted results. Fig. 14 shows the improved result of the vacuum pressure using optimized factors. The total mean value of the vacuum pressure in- creased by 23.3% (143 mbar) and the gap between maximum pressure and minimum pressure decreased by 44% (208 mbar) at the speed of 11.7 m/min. When the speed is 5.3 m/min, the vacuum pressure increases by 35% (205 mbar) and the gap decreases by 12.7% (57 mbar). 7. Conclusion and future work In this paper, a wall-climbing robot using a tracked wheel mechanism was presented. Continuous loco- motive motion with high climbing speed is achieved by employing tracked wheels on which suction pads are installed. The engineering analysis and detailed mechanism design of the tracked wheel, including mechanical valves, was described. The climbing per- formance on a vertical steel plate using the proposed mechanism was evaluated. Finally, the procedures of an optimization experiment using Taguchi methodol- ogy to maximize vacuum pressure were introduced. From this experiment, performance related to suction force was improved and design parameters were op- timized. Now, a new research to develop a novel climbing robot able to adhere to rough surfaces and climb a 3- dimensional complex wall is in progress. Acknowledgment This work was supported by Brain Korea 21 pro- gram and Seoul R&BD program of Korea. References [1] J. Zhu nd D. Sun, S. Tso, 2002, Development of a tacked cimbing rbot, Journal of Intelligent and Ro- botic Systems, 35 (4) 427-443. [2] S. Hirose, A. Nagakubo and R. Toyama, Machine that can walk and climb on floors, walls and ceil- ings, Proceedings of 5th International Conference on Advanced Robotics, 1 (1991) 753-758. [3] H. Choi, J. Park, and T. Kang, A self-contained wall climbing robot with closed link mechanism, Journal of Mechanical Science and Technology, 18 (4) (2004) 573-581.
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