03540nam 22007335 450 991029975480332120200703085019.03-7091-1791-710.1007/978-3-7091-1791-0(CKB)3710000000261993(EBL)1966790(OCoLC)893976426(SSID)ssj0001372490(PQKBManifestationID)11787116(PQKBTitleCode)TC0001372490(PQKBWorkID)11304092(PQKB)10877112(MiAaPQ)EBC1966790(DE-He213)978-3-7091-1791-0(PPN)258855754(PPN)182099458(EXLCZ)99371000000026199320141013d2014 u| 0engur|n|---|||||txtccrModal Analysis of Nonlinear Mechanical Systems /edited by Gaetan Kerschen1st ed. 2014.Vienna :Springer Vienna :Imprint: Springer,2014.1 online resource (346 p.)CISM International Centre for Mechanical Sciences, Courses and Lectures,0254-1971 ;555Description based upon print version of record.3-7091-1790-9 Includes bibliographical references.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.CISM International Centre for Mechanical Sciences, Courses and Lectures,0254-1971 ;555VibrationDynamical systemsDynamicsStatistical physicsErgodic theoryVibration, Dynamical Systems, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/T15036Applications of Nonlinear Dynamics and Chaos Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P33020Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XVibration.Dynamical systems.Dynamics.Statistical physics.Ergodic theory.Vibration, Dynamical Systems, Control.Applications of Nonlinear Dynamics and Chaos Theory.Dynamical Systems and Ergodic Theory.531.0151535Kerschen Gaetanedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910299754803321Modal Analysis of Nonlinear Mechanical Systems2188126UNINA