TY - BOOK AU - Kerschen,Gaetan ED - SpringerLink (Online service) TI - Modal Analysis of Nonlinear Mechanical Systems T2 - CISM International Centre for Mechanical Sciences, SN - 9783709117910 AV - TA355 U1 - 620 23 PY - 2014/// CY - Vienna PB - Springer Vienna, Imprint: Springer KW - Engineering KW - Dynamics KW - Ergodic theory KW - Statistical physics KW - Vibration KW - Dynamical systems KW - Vibration, Dynamical Systems, Control KW - Nonlinear Dynamics KW - Dynamical Systems and Ergodic Theory N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-3-7091-1791-0 ER -