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Unit information: Behaviour of Dynamic Systems in 2021/22

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

MENG20004 or equivalent



School/department Department of 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.


If this unit has a Resource List, you will normally find a link to it in the Blackboard area for the unit. Sometimes there will be a separate link for each weekly topic.

If you are unable to access a list through Blackboard, you can also find it via the Resource Lists homepage. Search for the list by the unit name or code (e.g. MENG30006).

How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours of study to complete. Your total learning time is made up of contact time, directed learning tasks, independent learning and assessment activity.

See the Faculty workload statement relating to this unit for more information.

The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit. The Board considers each student's outcomes across all the units which contribute to each year's programme of study. If you have self-certificated your absence from an assessment, you will normally be required to complete it the next time it runs (this is usually in the next assessment period).
The Board of Examiners will take into account any extenuating circumstances and operates within the Regulations and Code of Practice for Taught Programmes.