Introduction to Finite Element Vibration Analysis
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- Author: Maurice Petyt, University of Southampton
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There are many books on finite element methods but few give more than a brief description of their application to structural vibration analysis. This book presents 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 utilized 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.Read more
- An introduction to the mathematical basis of finite element analysis as applied to vibrating systems
- Assumes no previous knowledge of finite element methods
Reviews & endorsements
"The contents of this work are very well organized, and Petyt (Univ. of Southhamption, UK) gradually introduces important concepts, making it a very useful theoretical reference." X. Le, Wentworth Institute of TechnologySee more reviews
"The contents of this work are very well organized ... a very useful theoretical reference. ...Recommended." CHOICE
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- Edition: 2nd Edition
- Date Published: September 2010
- format: Adobe eBook Reader
- isbn: 9780511910982
- contains: 235 b/w illus. 90 tables 103 exercises
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
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.
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Instructors have used or reviewed this title for the following courses
- Advanced Finite Element Methods
- Advanced mechanical Vibrations
- Finite Element Method in Machine Design
- Structural Dynamics
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