This document provides an overview and resources for a lecture on systems modelling for first year engineering undergraduate students. It introduces key concepts such as derivatives, typical derivatives in mechanical and electrical systems, analogies between different system types, and examples of first order mechanical and electrical systems. Examples of modelling applications discussed include heat transfer, fluid flow, electrical circuits, and challenges involving modelling a bike, parachutist, elevator and more. The resources were developed at the University of Sheffield and include lecture notes, presentations, animations and tutorial questions.

1. Overheads for ACS111 Systems Modelling © University of Sheffield 2009. This work is licensed under a Creative Commons Attribution 2.0 License . The following resources are taken from the 2009/2010 ‘introduction to modelling’ lecture as forming a part of Systems Modelling for first year engineering undergraduate. For supporting and other documentation for this lecture and others on the course please see http://controleducation.group.shef.ac.uk/OER_index.htm . The main focus is on electrical and mechanical systems, but there is also some discussion of dc motors, fluids and heat as well as an introduction to time series modelling. The main emphasis is on why modelling is important and how to go about doing this from first principles (e.g. Kirchhoff's laws, Newton's Laws, etc.). Given the focus is on new students arriving at University, there is no attempt to develop models beyond second order. The resources here include the lecture hand out (pdf) which includes embedded tutorial questions, some powerpoints for structuring lectures , flash animations to step through modelling process for electrical circuits and a large data base of CAA developed on WebCT (here provided in a zip file). The lecture notes also contains a brief overview on usage for lecturing staff. These were developed at the University of Sheffield and authored by J A Rossiter from the Department of Automatic Control and Systems Engineering .

2. Anthony Rossiter Department of Automatic Control and Systems Engineering University of Sheffield www.shef.ac.uk/acse Week 5 Systems Modelling 1 st Order Models

25. Equivalent electrical circuit Resistor and capacitor in series

27. Equivalent electrical circuit This is a resistor/capacitor with an extra parallel loop just around the Capacitor.

35. Challenge activities – year 1 Covers ACS111, 112, 123, 108 By Anthony Rossiter