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Unit information: Dynamics and Control in 2020/21

Unit name Dynamics and Control
Unit code MENG20004
Credit points 20
Level of study I/5
Teaching block(s) Teaching Block 4 (weeks 1-24)
Unit director Dr. Conn
Open unit status Not open
Pre-requisites

None

Co-requisites

None

School/department Department of Mechanical Engineering
Faculty Faculty of Engineering

Description

The unit introduces students to the basic methods of Automatic Control engineering, i.e. for continuous-time single-input/single-output linear systems, and to the methods of modelling associated plant dynamics, basic vibration phenomena, such as how vibration is caused, how it is measured, and what its consequences are. The single degree of freedom mass-spring-damper system is analysed, both in free vibration and with various forms of excitation. The importance of resonance and force transmission is stressed. Students should gain an understanding of natural frequencies and how these relate to free and forced vibration, together with vibration transmission. They will also learn about multi-degree of freedom systems in free and forced vibration and how to apply numerical methods of solution.

Aims:

To introduce students to the basic methodologies of modelling dynamic systems and controlling them. The methodology of using Laplace transforms to derive transfer functions is applied to learn how to design controllers for single-input-single-output dynamic systems.

Single degree of freedom mass-spring-damper systems are analysed, both in free vibration and with various forms of excitation. The importance of resonance and force transmission is stressed.

Intended learning outcomes

By the end of the course students should be able to:

  1. Derive equations to model the dynamics of one and two degree of freedom (DOF) systems
  2. Use Laplace Transforms to derive system transfer functions
  3. Classify and implement control strategies for single-input-single-output linear systems
  4. Identify and characterise natural frequencies and analyse how they relate to free and forced vibration, together with vibration transmission.
  5. Classify and derive equations to model multi-DOF systems in free and forced vibration and apply numerical methods of solution.

Teaching details

Learning material including videos, notes and narrated lectures will be made available to the students online. These will include live online sessions led by teaching staff. Where possible, face to face activities may take place.

Assessment Details

The unit will be assessed using a single summative examination. Feedback will be provided to students via formative assessment elements during the year.

Reading and References

  • Hargreaves, M., Engineering Systems: Modelling & Control. (1996), 1st ed., Longmans. ISBN-10: 0582234190. ISBN-13: 9780582234192. Classmark: TA168 HAR
  • Dorf, R.C. & Bishop, R.H., Modern Control Systems. (2011), 12th ed., Pearson. ISBN-10: 0131383108. ISBN-13: 9780131383104. Classmark: TJ213 DOR
  • Meirovitch, L., Fundamentals of Vibrations. (2001), McGraw-Hill. ISBN-10: 0070413452. ISBN-13: 9780070413450. Classmark: TA355 MEI
  • Thomson, W., The Theory of Vibration with Applications. (1998), 4th ed., CRC Press. ISBN-10: 0748743804. ISBN-13: 9780748743803. Classmark: TA355 THO

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