Modal Analysis of Nonlinear Mechanical Systems

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...

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Bibliographic Details
Other Authors: Kerschen, Gaetan (Editor)
Format: eBook
Language:English
Published: Vienna Springer Vienna 2014, 2014
Edition:1st ed. 2014
Series:CISM International Centre for Mechanical Sciences, Courses and Lectures
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Modal Analysis of Nonlinear Mechanical Systems  |h Elektronische Ressource  |c edited by Gaetan Kerschen 
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505 0 |a Definition and fundamental properties of nonlinear normal modes -- Nonlinear normal modes and invariant manifolds -- Nonlinear normal modes and normal form theory -- Nonlinear normal modes in damped-forced systems -- Numerical computation of nonlinear normal modes -- Elements of nonlinear system identification of broad applicability -- Vibration absorption and acoustic mitigation 
653 |a Dynamical Systems and Ergodic Theory 
653 |a Ergodic theory 
653 |a Statistical physics 
653 |a Vibration 
653 |a Vibration, Dynamical Systems, Control 
653 |a Applications of Nonlinear Dynamics and Chaos Theory 
653 |a Dynamical systems 
653 |a Dynamics 
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520 |a 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