Vibration Analysis of Structures

Aim

The objective of the course is to familiarise the student with fundamental laws, relationships, and methods within structural dynamics, and to develop the skills to independently apply these to realistic structural dynamics problems. Upon completion of the course, the student will be able to:

• understand and use definitions and fundamental concepts within the subject;
• model more complex structural dynamics systems;
• solve structural dynamics problems using appropriate methods; and
• analyse more complex vibration problems.

Content

Modelling of structural vibrations for single or in multi-degrees of freedom systems; lumped models; damped and undamped vibrations; free and forced vibrations; nonlinear vibrations; stability; modal analysis; expansion theorem; egenfrequency and eigenvector; Lagrange's equations of motion; vibration analysis using the finite element method; transient analysis; and model-order reduction. Individual topics may be added or omitted as required.