10 research outputs found
Synchronization of two self-excited double pendula
We consider the synchronization of two self-excited double pendula. We show
that such pendula hanging on the same beam can have four different synchronous
configurations. Our approximate analytical analysis allows us to derive the
synchronization conditions and explain the observed types of synchronization.
We consider an energy balance in the system and describe how the energy is
transferred between the pendula via the oscillating beam, allowing thus the
pendula synchronization. Changes and stability ranges of the obtained solutions
with increasing and decreasing masses of the pendula are shown using
path-following
Chaotic Mechanics in Systems with Impacts and Friction
This book is devoted to the theory of chaotic oscillations in mechanical systems. Detailed descriptions of the basic types of nonlinearity - impacts and dry friction - are presented. The properties of such behavior are discussed, and the numerical and experimental results obtained by the authors are presented.The dynamic properties of systems described here can be useful in the proper design and use of mechanics where such behavior still creates problems.This book will be very useful for anyone with a fundamental knowledge of nonlinear mechanics who is beginning research in the field