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Modal Analysis of Nonlinear Mechanical Systems

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Handbook of Experimental Structural Dynamics

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Abstract

The objective of this chapter is to introduce nonlinear normal modes (NNMs) to structural dynamicists who are not acquainted with them. Specifically, this chapter describes how the concept of modes can be extended to the nonlinear case. It also describes, in simple terms, the fundamental properties of NNMs, including frequency-energy dependence, harmonics, bifurcation, and stability.

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Author information

Authors and Affiliations

  1. Space Structures and Systems Laboratory, Department of Aerospace and Mechanical Engineering, University of Liège, Liege, Belgium

    G. Kerschen

  2. Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Champaign, IL, USA

    A. F. Vakakis

Authors
  1. G. Kerschen
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  2. A. F. Vakakis
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Corresponding author

Correspondence to G. Kerschen .

Editor information

Editors and Affiliations

  1. Mechanical and Materials Engineering, University of Cincinnati, Cincinnati, OH, USA

    Randall Allemang

  2. Structural Dynamics and Acoustic Systems Laboratory, University of Massachusetts Lowell, Lowell, MA, USA

    Peter Avitabile

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Kerschen, G., Vakakis, A.F. (2022). Modal Analysis of Nonlinear Mechanical Systems. In: Allemang, R., Avitabile, P. (eds) Handbook of Experimental Structural Dynamics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4547-0_35

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