Introduction to Finite Element Vibration Analysis

An introduction to the mathematical basis of finite element analysis as applied to vibrating systems.

Maurice Petyt (Author)

9781107507357, Cambridge University Press

Paperback / softback, published 9 April 2015

518 pages, 235 b/w illus. 90 tables 103 exercises
25.5 x 18 x 2.5 cm, 0.95 kg

"The contents of this work are very well organized ... a very useful theoretical reference. ...Recommended." CHOICE

This is an introduction to the mathematical basis of finite element analysis as applied to vibrating systems. Finite element analysis is a technique that is very important in modeling the response of structures to dynamic loads. Although this book assumes no previous knowledge of finite element methods, those who do have knowledge will still find the book to be useful. It can be utilised by aeronautical, civil, mechanical, and structural engineers as well as naval architects. This second edition includes information on the many developments that have taken place over the last twenty years. Existing chapters have been expanded where necessary, and three new chapters have been included that discuss the vibration of shells and multi-layered elements and provide an introduction to the hierarchical finite element method.

1. Formulation of the equations of motion
2. Element energy functions
3. Introduction to the finite element displacement method
4. In-plane vibration of plates
5. Vibration of solids
6. Flexural vibration of plates
7. Vibration of stiffened plates and folded plate structures
8. Vibration of shells
9. Vibration of laminated plates and shells
10. Hierarchical finite element method
11. Analysis of free vibration
12. Forced response
13. Forced response II
14. Computer analysis technique.

Subject Areas: Mechanics of solids [TGMD], Maths for engineers [TBJ], Differential calculus & equations [PBKJ]