Detailed module information

Machine Dynamics and Vibrations A

Module aims

This module aims to enable students to evaluate the dynamic response requirements of a proposed machine design and to produce workable proposals for its safe and effective operation. It will build on the second year Mechatronics and Solid Mechanics modules, introducing a greater range of examples where the dynamic response of a machine must be controlled and making the link between vibration and fatigue failure. This will involve some new subject matter in the vibration of continuous systems, rotor dynamics, signal processing and control analysis. A key aspect of the module is to demonstrate practical vibration measurements and to compare them to solutions of an idealised system in MATLAB. They will also deal with realistic problems involving the assessment of the fatigue life of structures subject to vibration and static loading. This is a level 6 version of the enhanced level 7 MDV module and students cannot take both for credit towards their final degree.

ECTS = 5

Learning outcomes

On successfully completing this module, students will be able to: 

1. Describe simple mechanical systems as lumped parameter models and derive their equations of motion (EOM);

2. Predict the natural frequencies and mode shapes of multi-degree of freedom (MDOF) vibration systems and of bending, torsion and axial vibration of simple continuous systems such as beams; 

3. Explain the importance of avoiding shaft whirl and be able to calculate critical speeds;

4. Explain the significance of vibration loading in generating high cycle fatigue;

5. Predict fatigue life of components by linking their vibration response to alternating stress and using this as input to fatigue calculations;

6. Use MATLAB to obtain solutions to MDOF vibration problems;

7. Use Fourier analysis to convert both single and dual channel time domain measurements in the frequency domain;

Module syllabus

Pre-requisites

Pre-requisites: ME2-hDYN; ME2-hSAN; ME2-hMTX; ME1-hCPT; ME2-hCPT or equivalent.

Teaching methods

Assessments

Reading list

Core

• Engineering vibration

  Inman, D. J., author.

  Fourth edition., Pearson

• Engineering vibration analysis with application to control systems /

  Beards, C. F. (Christopher F).

  Edward Arnold

• Theory of vibration with applications

  Thomson, William Tyrrell, author.

  5th ed., Prentice Hall

• Mechanical vibrations / Singiresu S. Rao ; SI conversion by Philip Griffin

  Rao, Singiresu S., 1944- author.

• Random data: analysis and measurement procedures

  Bendat, Julius S., author.

  4th ed., Wiley

• Vibration problems in engineering

  Weaver, William.

  5th ed., Wiley

Module leaders