2017/18 Undergraduate Module Catalogue

MECH2620 Vibration and Control

20 creditsClass Size: 250

Module manager: Prof M Levesley
Email: m.c.levesley@leeds.ac.uk

Taught: Semesters 1 & 2 (Sep to Jun) View Timetable

Year running 2017/18

Pre-requisites

MECH1230	Solid Mechanics
MECH1520	Engineering Mathematics

Co-requisites

MECH2610

Engineering Mechanics

Module replaces

MECH2170MECH3135

This module is not approved as a discovery module

Objectives

On completion of this module, students should be able to:
- derive differential equations of motion for single and multi-degree of freedom mechanical systems;
- derive transfer function models of electro/mechanical systems and manipulate block diagrams; appreciate the relationship between transfer functions and step/impulse/ramp responses;
- calculate and plot frequency response for single and multi -degree of freedom mechanical systems;
- design anti-vibration mounting systems and vibration absorbers;
- express vibration in terms of modal properties;
- interpret plots of power spectral density;
- specify main control system performance criteria in the time and frequency domain;
- design controllers such as P, PD, PI, PID and phase compensation;
- calculate and interpret Polar and Bode diagrams for main control systems;
- use computer simulation to assess controller performance;
- appreciate problems of digital implementation of controllers.

Skills outcomes
Mathematical modelling of dynamic systems including control, techniques for analysis and design of dynamic and control systems. Design of Controllers. Use of simulation software.

Syllabus

Vibration: Nature and significance of vibration in machines;
Free motion of first order single-degree-of-freedom systems;
Free vibration of second order single-degree-of-freedom systems;
Forced vibrations of single-degree-of-freedom systems: Transient and steady state part;
Frequency response: magnitude and phase;
Vibration isolation: Types of excitation: reciprocating and rotary machines;
Transmissibility ratio;
Design for vibration isolation;
Vibration measurement: Vibrations in two-degree of freedom systems;
Vibrations in multi-degree of freedom systems;
Control: Simple examples of open loop and feedback control systems;
Modelling: transfer functions and block diagrams;
Response: step impulse and ramp response;
Controller design and performance using time domain;
Sinusoidal transfer function, Bode and Polar diagrams;
Control system performance in the frequency domain;
Design of phase compensation controllers;
Computer simulation of control systems;
Introduction to Digital Control.

Teaching methods

Delivery type	Number	Length hours	Student hours
Class tests, exams and assessment	4	1.00	4.00
Lecture	30	1.00	30.00
Practical	2	2.00	4.00
Tutorial	4	1.00	4.00
Independent online learning hours			8.00
Private study hours			150.00
Total Contact hours			42.00
Total hours (100hr per 10 credits)			200.00

Private study

Preparation for class tests, assignments, practical sessions, answering problem sheet questions and revision completing resource based learning sessions and learning how to use software. Students will spend 1 hour preparation per lecture; 2 hours preparation per tutorial; 2 hours preparation per practical and 15 hours for analysis and report writing; 4 hours independent online learning; 10 hours preparing for each class test; 10 hours preparing for simulation and 24 hours preparing for exam.

Opportunities for Formative Feedback

Through class tests, performance in practicals and assignments.

Methods of assessment

Coursework

Assessment type	Notes	% of formal assessment
In-course Assessment	Class test	10.00
Practical	Laboratories	20.00
Practical	Laboratories	20.00
Computer Exercise	Simulation	20.00
In-course Assessment	Class test	10.00
In-course Assessment	Class test	10.00
In-course Assessment	Class test	10.00
Total percentage (Assessment Coursework)		100.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Reading list

The reading list is available from the Library website

Last updated: 16/08/2017

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