Modal Analysis of Nonlinear Mechanical Systems

Modal Analysis of Nonlinear Mechanical Systems
CISM International Centre for Mechanical Sciences 555
Courses and Lectures
Gaetan Kerschen Editor
CONTENTS
Definition and fundamental properties of nonlinear normal
modes
by G. Kerschen 1
Invariant manifold representations of nonlinear modes of
vibrations
by S. W. Shaw . 47
Normal form theory and nonlinear normal modes: theoretical settings and applications
by C. Touz´e . 75
Nonlinear normal modes in damped – forced systems
by O. V. Gendelman . 161
Computation of nonlinear normal modes through shooting
and pseudo-arclength continuation
by G. Kerschen 215
Numerical computation of nonlinear normal modes using
HBM and ANM
by B. Cochelin . 251
Elements of nonlinear system identification of broad applicability
by A. F. Vakakis . 293
Acoustic mitigation
by B. Cochelin .
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