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Controllable DOF and total DOF
Degrees of freedom
Aditya Kurniawan, S.ST
Mechanical joints
A BASIC of mechanical joints that supportTranslational and
Rotational motion
 Prismatic joint
Surging, Heaving, Swaying
 Revolute joint
Yaw, Pitch, Roll
Mechanical joints
Prismatic joint
A prismatic joint (also called sliders) is a one degree of freedom
kinematic pair used in mechanisms.
Prismatic joints provide single-axis sliding function used in places
such as hydraulic and pneumatic cylinders
Mechanical joints
Revolute joint
A prismatic joint (also called sliders) is a one degree of freedom
kinematic pair used in mechanisms.
Prismatic joints provide single-axis sliding function used in places
such as hydraulic and pneumatic cylinders
Mechanical joints
Revolute joint
A prismatic joint (also called sliders) is a one degree of freedom
kinematic pair used in mechanisms.
Prismatic joints provide single-axis sliding function used in places
such as hydraulic and pneumatic cylinders
Mechanical joints
Revolute joint
A prismatic joint (also called sliders) is a one degree of freedom
kinematic pair used in mechanisms.
Prismatic joints provide single-axis sliding function used in places
such as hydraulic and pneumatic cylinders
Mechanical joints
Revolute joint
A prismatic joint (also called sliders) is a one degree of freedom
kinematic pair used in mechanisms.
Prismatic joints provide single-axis sliding function used in places
such as hydraulic and pneumatic cylinders
Mechanical joints
Revolute joint
A prismatic joint (also called sliders) is a one degree of freedom
kinematic pair used in mechanisms.
Prismatic joints provide single-axis sliding function used in places
such as hydraulic and pneumatic cylinders
Mechanical joints
Revolute joint
A prismatic joint (also called sliders) is a one degree of freedom
kinematic pair used in mechanisms.
Prismatic joints provide single-axis sliding function used in places
such as hydraulic and pneumatic cylinders
Mechanical joints
Revolute joint
A prismatic joint (also called sliders) is a one degree of freedom
kinematic pair used in mechanisms.
Prismatic joints provide single-axis sliding function used in places
such as hydraulic and pneumatic cylinders
Total Degrees of freedom
Is a total of degree freedom (6 possible / available) disposition from
3 translational and 3 rotational motion on 3D space
 3Translational Motion
Surging, Heaving, Swaying
 3 Rotational Motion
Yaw, Pitch, Roll
Z
X
Y
Z
X
Y
Total Degrees of freedom
Is a total of degree freedom (6 possible / available) disposition from
3 translational and 3 rotational motion on 3D space
Z
X
Y
Z
X
Y
?
?
Total Degrees of freedom
Is a total of degree freedom (6 possible / available) disposition from
3 translational and 3 rotational motion on 3D space
Z
X
Y
Z
X
Y
Surging
Yaw
Total Degrees of freedom
Is a total of degree freedom (6 possible / available) disposition from
3 translational and 3 rotational motion on 3D space
Z
X
Y
Z
X
Y
Surging
Yaw
Total DOF = 2
Controllable Degrees of freedom
Is a degree freedom (6 potential / available) controllable disposition
Of 3 translational and /or 3 rotational motion on 3D space
 3Translational Motion
Surging, Heaving, Swaying
 3 Rotational Motion
Yaw, Pitch, Roll
Z
X
Y
Z
X
Y
?
?
Controllable Degrees of freedom
Is a degree freedom (6 potential / available) controllable disposition
Of 3 translational and /or 3 rotational motion on 3D space
Z
X
Y
Z
X
Y
Motor
rotation
Controllable Degrees of freedom
Is a degree freedom (6 potential / available) controllable disposition
Of 3 translational and /or 3 rotational motion on 3D space
Z
X
Y
Z
X
Y
Revolute joint onY axis
Controllable Degrees of freedom
Is a degree freedom (6 potential / available) controllable disposition
Of 3 translational and /or 3 rotational motion on 3D space
Z
X
Y
Z
X
Y
Revolute joint onY axis
Controllable DOF = 1
Table
Type Controllable
DOF
Total
DOF
Rules Example
Holonomic 3 3 cDOF = tDOF Omnidirectional
wheel
Non Holonomic 1 2 cDOF < tDOF Bicycle diferential
control
Redundant Holonomic 7 6 cDOF > tDOF Human hands
Robot TYPE
Motor
rotation
NON HOLONOMIC ROBOT
Total DOF = 2
Rotation about Z axes
Forward
Backward
Controllable DOF = 1
Revolute joint onY axes
Robot TYPE Exercise
Total DOF = ?
………………….
………………….
………………….
Controllable DOF = ?
………………….
………………….
………………….
Hybrid joint table
Mechanical joint DOF Base joint

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Degrees of freedom

  • 1. Controllable DOF and total DOF Degrees of freedom Aditya Kurniawan, S.ST
  • 2. Mechanical joints A BASIC of mechanical joints that supportTranslational and Rotational motion  Prismatic joint Surging, Heaving, Swaying  Revolute joint Yaw, Pitch, Roll
  • 3. Mechanical joints Prismatic joint A prismatic joint (also called sliders) is a one degree of freedom kinematic pair used in mechanisms. Prismatic joints provide single-axis sliding function used in places such as hydraulic and pneumatic cylinders
  • 4. Mechanical joints Revolute joint A prismatic joint (also called sliders) is a one degree of freedom kinematic pair used in mechanisms. Prismatic joints provide single-axis sliding function used in places such as hydraulic and pneumatic cylinders
  • 5. Mechanical joints Revolute joint A prismatic joint (also called sliders) is a one degree of freedom kinematic pair used in mechanisms. Prismatic joints provide single-axis sliding function used in places such as hydraulic and pneumatic cylinders
  • 6. Mechanical joints Revolute joint A prismatic joint (also called sliders) is a one degree of freedom kinematic pair used in mechanisms. Prismatic joints provide single-axis sliding function used in places such as hydraulic and pneumatic cylinders
  • 7. Mechanical joints Revolute joint A prismatic joint (also called sliders) is a one degree of freedom kinematic pair used in mechanisms. Prismatic joints provide single-axis sliding function used in places such as hydraulic and pneumatic cylinders
  • 8. Mechanical joints Revolute joint A prismatic joint (also called sliders) is a one degree of freedom kinematic pair used in mechanisms. Prismatic joints provide single-axis sliding function used in places such as hydraulic and pneumatic cylinders
  • 9. Mechanical joints Revolute joint A prismatic joint (also called sliders) is a one degree of freedom kinematic pair used in mechanisms. Prismatic joints provide single-axis sliding function used in places such as hydraulic and pneumatic cylinders
  • 10. Mechanical joints Revolute joint A prismatic joint (also called sliders) is a one degree of freedom kinematic pair used in mechanisms. Prismatic joints provide single-axis sliding function used in places such as hydraulic and pneumatic cylinders
  • 11. Total Degrees of freedom Is a total of degree freedom (6 possible / available) disposition from 3 translational and 3 rotational motion on 3D space  3Translational Motion Surging, Heaving, Swaying  3 Rotational Motion Yaw, Pitch, Roll Z X Y Z X Y
  • 12. Total Degrees of freedom Is a total of degree freedom (6 possible / available) disposition from 3 translational and 3 rotational motion on 3D space Z X Y Z X Y ? ?
  • 13. Total Degrees of freedom Is a total of degree freedom (6 possible / available) disposition from 3 translational and 3 rotational motion on 3D space Z X Y Z X Y Surging Yaw
  • 14. Total Degrees of freedom Is a total of degree freedom (6 possible / available) disposition from 3 translational and 3 rotational motion on 3D space Z X Y Z X Y Surging Yaw Total DOF = 2
  • 15. Controllable Degrees of freedom Is a degree freedom (6 potential / available) controllable disposition Of 3 translational and /or 3 rotational motion on 3D space  3Translational Motion Surging, Heaving, Swaying  3 Rotational Motion Yaw, Pitch, Roll Z X Y Z X Y ? ?
  • 16. Controllable Degrees of freedom Is a degree freedom (6 potential / available) controllable disposition Of 3 translational and /or 3 rotational motion on 3D space Z X Y Z X Y Motor rotation
  • 17. Controllable Degrees of freedom Is a degree freedom (6 potential / available) controllable disposition Of 3 translational and /or 3 rotational motion on 3D space Z X Y Z X Y Revolute joint onY axis
  • 18. Controllable Degrees of freedom Is a degree freedom (6 potential / available) controllable disposition Of 3 translational and /or 3 rotational motion on 3D space Z X Y Z X Y Revolute joint onY axis Controllable DOF = 1
  • 19. Table Type Controllable DOF Total DOF Rules Example Holonomic 3 3 cDOF = tDOF Omnidirectional wheel Non Holonomic 1 2 cDOF < tDOF Bicycle diferential control Redundant Holonomic 7 6 cDOF > tDOF Human hands
  • 20. Robot TYPE Motor rotation NON HOLONOMIC ROBOT Total DOF = 2 Rotation about Z axes Forward Backward Controllable DOF = 1 Revolute joint onY axes
  • 21. Robot TYPE Exercise Total DOF = ? …………………. …………………. …………………. Controllable DOF = ? …………………. …………………. ………………….
  • 22. Hybrid joint table Mechanical joint DOF Base joint