Our systems are now restored following recent technical disruption, and we’re working hard to catch up on publishing. We apologise for the inconvenience caused. Find out more

Recommended product

Popular links

Popular links


Introduction to Finite Element Vibration Analysis

Introduction to Finite Element Vibration Analysis

Introduction to Finite Element Vibration Analysis

2nd Edition
Maurice Petyt, University of Southampton
April 2015
Available
Paperback
9781107507357

    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.

    • 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 Technology

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

    See more reviews

    Product details

    April 2015
    Paperback
    9781107507357
    518 pages
    255 × 180 × 25 mm
    0.95kg
    235 b/w illus. 90 tables 103 exercises
    Available

    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.
    Resources for
    Type
    Solutions Manual
    Size: 23.94 MB
    Type: application/pdf
    Sign inThis resource is locked and access is given only to lecturers adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.
    • Maurice Petyt , University of Southampton

      Maurice Petyt is an Emeritus Professor of Structural Dynamics, Institute of Sound and Vibration Research, University of Southampton. He has also held appointments as a Research Professor at George Washington University and Visiting Professor at the University d'Aix-Marseille II, France, and the National University of Singapore. He is a Charted Mathematician, a Fellow of the Institute of Mathematics and its Applications, a Fellow of the International Institute of Acoustics and Vibration, and a Fellow of the Institute of Acoustics. Formerly European Editor and Editor-in-Chief, he is now Editor Emeritus of the Journal of Sound and Vibration.