CISM International Centre for Mechanical Sciences

Modal Analysis of Nonlinear Mechanical Systems

Editors: Kerschen, Gaetan (Ed.)

  • Exposition to advanced analytical, computational and experimental methods
  • Important applications of the nonlinear normal mode theory, including model reduction and vibration and acoustic mitigation
  • Nonlinear system identification will be discussed
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eBook $159.00
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  • ISBN 978-3-7091-1791-0
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Hardcover $209.00
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  • ISBN 978-3-7091-1790-3
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About this book

The book first introduces the concept of nonlinear normal modes (NNMs) and their two main definitions. The fundamental differences between classical linear normal modes (LNMs) and NNMs are explained and illustrated using simple examples. Different methods for computing NNMs from a mathematical model are presented. Both advanced analytical and numerical methods are described. Particular attention is devoted to the invariant manifold and normal form theories. The book also discusses nonlinear system identification.

Table of contents (8 chapters)

  • Definition and Fundamental Properties of Nonlinear Normal Modes

    Kerschen, Gaetan

    Pages 1-46

  • Invariant Manifold Representations of Nonlinear Modes of Vibration

    Shaw, Steven W.

    Pages 47-74

  • Normal form theory and nonlinear normal modes: Theoretical settings and applications

    Touzé, Cyril

    Pages 75-160

  • Nonlinear normal modes in damped forced systems

    Gendelman, O. V.

    Pages 161-213

  • Computation of Nonlinear Normal Modes through Shooting and Pseudo-Arclength Computation

    Kerschen, Gaetan

    Pages 215-250

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-3-7091-1791-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-3-7091-1790-3
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
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Bibliographic Information

Bibliographic Information
Book Title
Modal Analysis of Nonlinear Mechanical Systems
Editors
  • Gaetan Kerschen
Series Title
CISM International Centre for Mechanical Sciences
Series Volume
555
Copyright
2014
Publisher
Springer-Verlag Wien
Copyright Holder
CISM, Udine
eBook ISBN
978-3-7091-1791-0
DOI
10.1007/978-3-7091-1791-0
Hardcover ISBN
978-3-7091-1790-3
Series ISSN
0254-1971
Edition Number
1
Number of Pages
VII, 340
Number of Illustrations and Tables
164 b/w illustrations
Topics