MECH2620 Vibration and Control

20 creditsClass Size: 300

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

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

Year running 2021/22

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.

Learning outcomes
On completion of this module, students should be able to:
1. generate and solve differential equations of motion for single and multi-degree of freedom mechanical systems
2. derive transfer function models of electro/mechanical systems and manipulate block diagrams;
3. analyse the relationship between characteristic equation roots and step/impulse/ramp responses;
4. determine the characteristic equation from measured transient performance criteria
5. calculate and plot frequency responses for single and multi-degree of freedom mechanical systems;
6. understand the link between natural frequencies and mode shapes;
7. specify system performance criteria in the time and frequency domain;
8. produce and interpret Polar and Bode diagrams for control systems;
9. create solutions to vibration problems using vibration isolation and vibration absorption;
10. design controllers such as P, PD, PI, PID and phase compensation;
11. use computer simulation to assess system and controller performance;
12. collect, produce and submit data accurately and reliably using modern data analysis and capture techniques and software.

Upon successful completion of this module the following UK-SPEC learning outcome descriptors are satisfied:

A comprehensive knowledge and understanding of the scientific principles and methodology necessary to underpin their education in their engineering discipline, and an understanding and know-how of the scientific principles of related disciplines, to enable appreciation of the scientific and engineering context, and to support their understanding of relevant historical, current and future developments and technologies (SM1m)
Knowledge and understanding of mathematical and statistical methods necessary to underpin their education in their engineering discipline and to enable them to apply a range of mathematical and statistical methods, tools and notations proficiently and critically in the analysis and solution of engineering problems (SM2m)
Understanding of engineering principles and the ability to apply them to undertake critical analysis of key engineering processes (EA1m)
Ability to identify, classify and describe the performance of systems and components through the use of analytical methods and modelling techniques (EA2)
Ability to apply quantitative and computational methods, using alternative approaches and understanding their limitations, in order to solve engineering problems and implement appropriate action (EA3m)
Ability to apply relevant practical and laboratory skills (P3)
Apply their skills in problem solving, communication, information retrieval, working with others and the effective use of general IT facilities (G1)

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;
Brief Introduction to Digital Control.

Teaching methods

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

 Delivery type Number Length hours Student hours Drop-in Session 15 1.00 15.00 Class tests, exams and assessment 4 1.00 4.00 Lecture 30 1.00 30.00 Practical 2 2.00 4.00 Tutorial 3 1.00 3.00 Independent online learning hours 12.00 Private study hours 132.00 Total Contact hours 56.00 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.

Opportunities for Formative Feedback

Worked solutions to lecture based examples and example sheets.
Minerva/TopHat quizzes during each topic.
Online discussion board monitored by PGR.

Methods of assessment

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

Coursework
 Assessment type Notes % of formal assessment In-course Assessment Class test 10.00 In-course Assessment Class test 10.00 Assignment Lab Assignment 1 20.00 Assignment Lab Assignment 2 20.00 Assignment Team Assignment 20.00 Assignment Individual Assignment 20.00 Total percentage (Assessment Coursework) 100.00

Resit - 100% exam based

The reading list is available from the Library website

Last updated: 30/06/2021 16:23:29

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