Faculty of Engineering and Applied Science
INSTITUTE OF SOUND AND VIBRATION RESEARCH
Beng Acoustical Engineering< MEng Acoustical Engineering	Year: 2002-03

Module Specification

Unit/Module Code:	Module Title:
IS302	Engineering Vibraiton

1.	Basic Information

Department responsible for the module	ISVR
Programme	Beng Acoustical Engineering< MEng Acoustical Engineering
Timetable	Semester 2
Session	2002-03
Credit Value	10 CAT points (= 100 hours) Level M
Pre-requisites	None
Co-requisites	None
Module Lecturers	Dr BR Mace
Contact	brm@isvr.soton.ac.uk
Formal Contact Hours	Lectures and tutorials = 24 hours + 4 hours lab demonstrations/experiments
Private Study Hours	Up to 50 hours to attempt problem sheets and related studies.
Coursework	One assignment
External Examiner	Dr. H. Hunt
Last Approved
Last Revision	1/1/2003
Course Web Site



2.	Description

2.1	Aims

	The aims of this module are to introduce concepts, topics and techniques concerning vibration measurement, testing, analysis, modelling and control with particular emphasis on vibrations engineering applications.

2.2	Objectives (teaching)

	The vibrations engineer needs to have a fundamental understanding of the principles and practice of vibration measurement, testing, analysis, modelling and control. This is essential for good design and vibration control. This course will create this understanding in a number of key areas. This will be achieved by a clear statement of underlying principles together with an emphasis on applications for the vibrations engineer. This specifically includes the principles and practice of vibration measurement and analysis.

2.3	Objectives (planned learning outcomes)

	Knowledge and understanding
	Having successfully completed the module, you will be able to demonstrate knowledge and understanding of< : the principles of spectral analysis and measurement; the principles of digital spectral analysis and measurement; the modal behaviour of structures; vibration measurement and testing techniques; the response of simple structures to random excitation; fundamental non-linear behaviour.

	Cognitive (thinking) skills
	perform spectral analysis and interpret the results; understand and interpret vibrational behaviour and modal properties from response measurements; recognise the characteristics of non-linear response and identify common causes of non-linearity.

	Practical, subject-specific skills
	measure spectra and system frequency response; interpret measured vibration data; estimate modal properties from measured response; perform numerical modal analysis using simple software tools.

	Key transferable skills
	Having successfully completed the module, you will be better able to: understand the dynamics of complex structures; · identify, measure and interpret system input-output relations and frequency response.

2.4	Teaching and Learning Activities

	Teaching methods include

	2 lectures a week, 3 x 2 hour laboratory sessions. The students are provided with copies of the lecture overheads. These include problems worked through in class to demonstrate problem formulation and solution, and the thought processes involved. The laboratory sessions are partly demonstrations and partly self-worked experiments. They are coordinated with the lecture material and concern: principles of digital spectral analysis; principles of vibration testing; experimental modal analysis. Students are encouraged to discuss difficulties informally with the lecturer. Additional tutorials are provided towards the end of the course as preparation for the examination.

	Learning activities include

	Example sheets are provided to students in order to practise their analytical skills and the material covered in lectures. Worked solutions and solution notes are provided. Two of the laboratory sessions are primarily for pedagogical purposes. However, the skills and understanding developed are necessary for the third session, in which experimental measurements of the response of a simple structure are taken, analysed using techniques covered in the core lecture material and processes for comparison with numerical predictions. The lecture/laboratory streamline is coordinated so that the material is mutually supportive.

2.5	Methods of Assessment (summative assessment)

BEng Acoustical Engineering
Assessment Methods	Number	% contribution to final mark	Comment
Assignments	1	30
Exam	1	70	2 h
MEng Acoustical Engineering
Assessment Methods	Number	% contribution to final mark	Comment
Assignments	1	30
Exam	1	70	2h


2.6	Feedback to students during module study (formative assessment)

	Tutorial assistance to cover issues raised through example sheets. Discussions during laboratory sessions. Informal contact with lecturer encouraged after lectures and at other times. Assignment completed, marked and returned before examination. Model answers to selected problems are provided. Solution notes and comments to selected problems are made available. Previous examination papers with model answers are made available.

2.7	Relationship between the teaching, learning and assessment methods

	The examination tests students’ knowledge of the procedures and techniques covered in the course. Students have a choice of questions in the exam (3 out of 5). The problem sheets help the students develop and apply the methods and topics covered in the lectures and to develop their ability to understand and interpret the results. The laboratory sessions are coordinated with the lectures to reinforce basic concepts, many of which are physical and require practical demonstration to assist understanding. The three sessions, together with the assignment, integrate practical and theoretical aspects.

3.	TOPICS COVERED

	Spectral analysis: signals and spectra; systems, input-output relations, frequency response; correlation, power spectral density, cross spectral density. Digital spectral analysis: transfer function measurement; aliasing, leakage, windowing, averaging; considerations and applications for vibration engineers Vibration testing and measurement: transducers and other instrumentation; vibration testing techniques; practical considerations. Modal analysis: modal analysis of MDOF systems: review; modes and FRF characteristics; modal analysis of continuous systems; modal decomposition, modes and FRF characteristics. Experimental modal analysis: free vibration; forced vibration, sdof and mdof systems: peak value and circle-fit methods; practical considerations. Random vibrations of sdof system: response to Gaussian noise: mean-square response and statistics; applications: fatigue, failure. Non-linear vibrations: nonlinearities in stiffness and damping; free and forced response; Lagrange’s equation: equilibrium, stability, linearisation; practical considerations: effects of weak nonlinearities on modal analysis, FRF measurement etc.

4.	RESOURCES

	Core Texts

	AUTHORS	TITLE/EDITION/DATE	PUBLISHER	UNI. LIB Class Mark	E.J. Richards Library

1.	S.S. Rao	Mechanical Vibrations 3rd Edition, 1995	Longman Scientific	TA 355 RAO 3 loan	1 (2nd ed)

	Secondary Texts

	AUTHORS	TITLE/EDITION/DATE	PUBLISHER	UNI. LIB Class Mark	E.J. Richards Library

1.	D.E. Newland	An introduction to random vibrations, spectral and wavelet analysis 3rd ed, 1993	Addison-Wesley	TA 355 NEW 6 loan	1 short loan 4 (2nd ed.)

2.	D.J. Ewins	Modal Testing, Theory, Practice and Application, 1998	Research Studies Press Ltd.	TA 355 EWI 2 loan	2 ref.


	Other library support

	Both the University Library and the ISVR’s E.J. Richards Library house collections of general introductory vibration texts, while the E.J. Richards Library houses a specialist collection relating to noise and vibration.

	Staff required

	One lecturer assigned to this course.

	Teaching space, layout and equipment required

	Teaching space, layout and equipment required A lecture room with 20 seats is required for two hours a week. The room should be equipped with overhead projection facilities, and blackboard and/or whiteboard and windows. Overhead pens and chalk are required.

	Laboratory space required

	At least 12 m2 floor space per lab group is required. Groups comprise 2-3 students. Equipment required includes accelerometer, impact hammer, signal conditioners, spectrum analyser, signal generator, power amplifier, filters, shaker.

	Computer requirements

	Use of computers is required for the coursework and is useful for assistance in solving some of the problems.

	Software requirements

	Matlab, plus various M-files which are provided to the students.

	Off-campus activities

	None

	Part-time/distance learning students

	No special provision is made.

	Other

	Photocopies of the overheads are handed out to the students in each lecture. These occasionally contain some non-examinable material which is clearly indicated as such. The handouts contain some problems with worked solutions and a set of further problems for the students to attempt. Towards the end of the course further problems are provided, together with worked solutions to some of the problems and solution notes for some others. Copies of previous years’ exam papers and solutions are given.