Unit information: Behaviour of Dynamic Systems in 2020/21

Unit name	Behaviour of Dynamic Systems
Unit code	MENG30006
Credit points	20
Level of study	H/6
Teaching block(s)	Teaching Block 1 (weeks 1 - 12)
Unit director	Dr. Lazar
Open unit status	Not open
Pre-requisites	MENG22200 Dynamics and Control or equivalent
Co-requisites	None
School/department	School of Electrical, Electronic and Mechanical Engineering
Faculty	Faculty of Engineering

Description including Unit Aims

This course focuses on methods to analyse and control the behaviour of dynamic systems. This includes the vibration behaviour of bars and beams, in which the mass and stiffness are continuously distributed, rather than concentrated in discrete elements. The course covers analytical methods to determine natural frequencies, mode shapes and stresses in vibrating systems, and provides an introduction to numerical methods for solving more complex systems. It also delivers a broad range of methods for students to analyse and evaluate the stability and performance of feedback controlled closed-loop systems, equipping them with the necessary knowledge to master controller design. Systems modelling and identification from experimental data are also covered.

Aims: The aim of this course is to examine and explain the vibrational behaviour of bars and beams, in which the mass and stiffness are continuously distributed, and to provide students with the ability to analyse, evaluate and create closed-loop feedback controllers using different techniques. Algebraic, numerical and experimental techniques will be explored.

Intended Learning Outcomes

Upon successful completion of the unit students will be able to:-

1. Calculate the natural frequencies and determine the vibration mode shapes of bars and beams, considering various boundary conditions.
2. Derive and use FE matrices for vibration analysis.
3. Use Bode and Nyquist plots to design feedback controllers for a given specification, evaluate stability margins
4. Estimate closed-loop system response from Roots Loci graphs and Bode plots.
5. Apply stability tests such as Routh and Nyquist criteria and analyse stability and performance using Nyquist and Bode plots.
6. Extract modal properties and other system parameters from experimental data.

Teaching Information

The unit will be delivered through materials including videos and narrated lectures which will be made available to students online.

Assessment Information

The unit will be assessed using a single examination. Feedback will be provided to students during the year.

Reading and References

• Thomson, W.T. & Dahleh, M.D., The Theory of Vibration with Applications. (1997), 5th ed., Pearson PrenticeHall. ISBN-10: 013651068x. ISBN-13: 9780139153495. Classmark: TA355 THO. – Core Text.
• Meirovitch, L., Fundamentals of Vibrations. (2001), McGraw-Hill. ISBN-10: 0071181741. ISBN-13: 9780071181747. Classmark: TA355 MEI.
• Dorf, R. & Bishop, R.H., Modern Control Systems, (2011), 12th ed., Pearson Prentice-Hall. ISBN-10: 0131383108. ISBN-13: 9780131383104. Classmark: TJ213 DOR
• Ogata, K., Modern Control Engineering. (2010), 5th ed., Pearson Prentice-Hall. ISBN-10: 0137133375. ISBN13: 9780137133376.
• Goodwin, G.C., Graebe, S.F. & Salgado, M.E., Control System Design. (2001), Pearson Prentice-Hall. ISBN10: 0139586539. Classmark: TJ213 GOO
• Dutton, K., Thompson, S. & Barraclough, B., The Art of Control Engineering. (1997), 1st ed., AddisonWesley. ISBN-10: 0201175452. Classmark: TJ213 DUT