<p>The nonlinear normal modes of a parametrically excited cantilever beam are constructed by directly applying the method of multiple scales to the governing integral-partial differential equation and associated boundary conditions. The effect of the inertia and curvature nonlinΒ earities and the pa
Normal Modes and Localization in Nonlinear Systems
β Scribed by Alexander F. Vakakis, Leonid I. Manevitch, Yuri V. Mikhlin, Valery N. Pilipchuk, Alexandr A. Zevin
- Publisher
- Wiley-VCH
- Year
- 1996
- Tongue
- English
- Leaves
- 558
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This landmark book deals with nonlinear normal modes (NNMs) and nonlinear mode localization. Offers an analysis which enables the study of various nonlinear phenomena having no counterpart in linear theory. On a more theoretical level, the concept of NNMs will be shown to provide an excellent framework for understanding a variety of distinctively nonlinear phenomena such as mode bifurcations and standing or traveling solitary waves.
π SIMILAR VOLUMES
Dynamics of the spring pendulum and of the system containing a pendulum absorber is considered by using the nonlinear normal modesβ theory and the asymptotic-numeric procedures. This makes it possible to investigate the pendulum dynamics for both the small and large vibration amplitudes. The vibrati
This book is about normal forms-the simplest form into which a dynamical system can be put for the purpose of studying its behavior in the neighborhood of a rest point-and about unfoldings-used to study the local bifurcations that the system can exhibit under perturbation. The book presents the adva
This book is about normal forms--the simplest form into which a dynamical system can be put for the purpose of studying its behavior in the neighborhood of a rest point--and about unfoldings--used to study the local bifurcations that the system can exhibit under perturbation. The book presents the a