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2010/1 Module Catalogue
 Module Code: ENG3069 Module Title: DYNAMICS
Module Provider: Mechanical, Medical & Aero Engineering Short Name: SE3304
Level: HE3 Module Co-ordinator: GRUBER P Dr (M, M & A Eng)
Number of credits: 10 Number of ECTS credits: 5
Module Availability
Spring Semester
Assessment Pattern

Unit(s) of Assessment



Weighting Towards


Module Mark (%)














Qualifying Condition(s)



An overall mark of 40% is required to pass the module.



Module Overview

This module is concerned with one of the most fundamental subjects in engineering, namely, vibrations. Everything around us, and including us, is capable of vibrations, irrespective of whether it is solid, liquid or gaseous. Vibrations can be desirable as, for example, in music instruments or, highly undesirable as, for instance, in motors. This module provides a comprehensive overview of methods of analysis of vibration systems and ways to employ to reduce vibrations.



Completion of the progress requirements of Level HE1 Module ENG1008 Statics & Dynamics and Level HE2 Modules ENG2026 Mechanics of Solids 2A and ENG2032 Mechanics of Solids 2B

Module Aims


To provide the students with:


·       a systematic understanding and critical awareness of forced vibration of two-degree of freedom systems


·       a comprehensive knowledge of vibration absorber design


·       a deep understanding and awareness of vibrations of real structures


·       a knowledge of the analytical and numerical methods of investigating vibration of continuous systems


Learning Outcomes

Upon successful completion of the module, you will be able to:


·       identify and evaluate forced vibrations


·       explain the principles of vibration absorbers


·       design and assess vibration absorbers


·       illustrate the procedures required to analyse discrete and continuous systems


·       analyse the vibration of continuous systems using both analytical and finite element techniques


Module Content

Forced vibration of a two-degree of freedom system


·       Undamped forced vibration of a two-degree of freedom system


·       Damped and undamped vibration absorbers


Vibration of Continuous Systems


·       Lateral vibration of a string


·       Longitudinal vibration of a bar


·       Lateral vibration of a beam


·       Whirling of shafts


Finite Element Method


·       Bar element


·       Torsion element


·       Beam element



Methods of Teaching/Learning

21 h lectures, 11 h tutorials, 1 h in-class test, 2 h examination and 65 h independent learning time.


Total student learning time 100 h.


Selected Texts/Journals

Essential Reading


·       M. A. Wahab, Dynamics and Vibration: An introduction, John Wiley & Sons Ltd, Revised 1st Edition, 2008 (ISBN: 978-0-470-72300-5)



Required Reading


·       Tongue, B. H., Principles of Vibration, 2nd Edition, Oxford University Press, 2001 (ISBN: 0195142462)



Recommended Reading


·       Inman, Engineering Vibration, 2nd Edition, Prentice-Hall, 2001 (ISBN: 9780137261420)


·       R. R. Craig, Structural Dynamics, John Wiley & Sons Ltd, 1983 (ISBN: 978-0471888789)


·       W. Weaver, S.P. Timoshenko, D.H. Young, 5th Edition, Vibration problems in engineering, John Wiley & Sons Ltd, 1990 (ISBN: 978-0-471-63228-3)


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