Modal Analysis of Nonlinear Mechanical Systems

• Corporate Author: SpringerLink (Online service)
• Other Authors: Kerschen, Gaetan (Editor)
• Format: Electronic eBook
• Language: English
• Published: Vienna : Springer Vienna : Imprint: Springer, 2014.
• Edition: 1.
• Series: CISM International Centre for Mechanical Sciences, 555
• Subjects: Engineering.; Dynamics.; Ergodic theory.; Statistical physics.; Vibration.; Dynamical systems.; Vibration, Dynamical Systems, Control.; Nonlinear Dynamics.; Dynamical Systems and Ergodic Theory.

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...

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.