1.

Record Nr.

UNINA9910299754803321

Titolo

Modal Analysis of Nonlinear Mechanical Systems / / edited by Gaetan Kerschen

Pubbl/distr/stampa

Vienna : , : Springer Vienna : , : Imprint : Springer, , 2014

ISBN

3-7091-1791-7

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (346 p.)

Collana

CISM International Centre for Mechanical Sciences, Courses and Lectures, , 0254-1971 ; ; 555

Disciplina

531.0151535

Soggetti

Vibration

Dynamical systems

Dynamics

Statistical physics

Ergodic theory

Vibration, Dynamical Systems, Control

Applications of Nonlinear Dynamics and Chaos Theory

Dynamical Systems and Ergodic Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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.

Sommario/riassunto

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.