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Materials - Mechanics | Modal Analysis of Nonlinear Mechanical Systems

Modal Analysis of Nonlinear Mechanical Systems

Kerschen, Gaetan (Ed.)

2014, VII, 340 p. 164 illus.

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  • 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
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.

Content Level » Research

Keywords » Dynamics - Modal Analysis - Nonlinearity - Structures - Vibrations

Related subjects » Dynamical Systems & Differential Equations - Mechanics - Statistical Physics & Dynamical Systems

Table of contents 

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.

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