MEC 4306 – Vibration Analysis I

Credits:   4 
Lectures/Tut.:   2 hr/wk 
Labs:  3 sessions 
Prerequisite: 

Objectives
An introductory course in Mechanical Vibration systems having single degree of freedom.  This includes theory, computational aspects and applications.  An emphasis of the physical significance and interpretation built upon previous mechanics units shall be made.

Syllabus

§         Periodic harmonic and non harmonic motion.  Fourier series.

§         Natural frequency of single degree of freedom systems.  The energy method and Raleigh’s method.

§         Response of viscous damped single degree of freedom systems due to periodic excitation.  Support excitation.  Transient analysis due to impulsive forces.

§         Equivalent viscous damping applied to single degree of freedom systems. 

§         Transverse vibrations of Beams; Raleigh’s and Dunkerley’s formulae.  Beam inertia.  Whirling of shafts.

            Laboratory Work

            Laboratory sessions include:

§         Response of systems subjected to forced inputs with and without damping. 

§         Development of a computer program for the solution of a vibration problem.

§         Researched application assignment.

Assessment
Coursework - 10% 
Exam - 90%

Reference Textbooks

·        Seto W., Mechanical Vibrations, Schaum’s Outline Series.  ISBN 0-07-056327-6.

·        Thompson W.T., Theory of Vibrations with Applications, 3^rd edition, Unwin Hyman, ISBN 004 4450699.