Modal Analysis of Nonlinear Mechanical Systems [electronic resource] / edited by Gaetan Kerschen.Material type: TextLanguage: English Series: CISM International Centre for Mechanical Sciences: 555Publisher: Vienna : Springer Vienna : Imprint: Springer, 2014Edition: 1Description: VII, 340 p. 164 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783709117910Subject(s): Engineering | Differentiable dynamical systems | Vibration | Engineering | Vibration, Dynamical Systems, Control | Nonlinear Dynamics | Dynamical Systems and Ergodic TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 620 LOC classification: TA355TA352-356Online resources: Click here to access online
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.
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.