pip HBEF ^ Page 1 pip HBEF ^ " S ^ M ^ fl ^ ta b On the recommendation of the Executive
Committee of the ASME Applied Mechanics Division, it was decided to initiate a section …

A method for determining the amplitude-dependent mode shapes and the corresponding
modal dynamics of weakly nonlinear vibratory systems is described. The method is a …

1. Introduction. Normal mode vibrations of coupled nonlinear systems of two or more
degrees of freedom have been the subject of extensive study in recent years [1-11]. Detailed …

Introduction. Cor tain properties of normal mode vibrations have been studied fairly
extensively in recent times [1]. However, the question of their existence has largely remained …

Publisher Summary The study of the vibrations of nonlinear systems with many degrees of
freedom is concerned with the search for some or all periodic solutions of systems of …

Approximations of the resonant non-linear normal modes of a general class of weakly non-
linear one-dimensional continuous systems with quadratic and cubic geometric non …

These two examples make clear that normal modes can be realized in nonlinear continuous
systems. It appears a reasonable conclusion that in all stable systems normal modes will …

The purpose of this book is to provide students, practicing engineers and scientists with a
treatment of nonlinear phenomena occurring in physical systems. Although only mechanical …

The geometrical stability of the non-linear normal mode vibrations of a class of two degree of
freedom dynamical systems is studied by utilizing the definitions and analysis of Synge's …

1. Introduction. In linear systems, the concept of 'free vibrations in normal modes' is well
defined and fully understood. The meaning of this phrase is far less clear when it is applied …