Vibration of Strongly Nonlinear Discontinuous Systems
By: by Vladimir I. Babitsky, V. L. Krupenin
Contributors: Krupenin, V. L.
Series: Foundations of Engineering Mechanics; Foundations of engineering mechanics
Publisher: Springer Berlin Heidelberg
Published: 2001
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 404
ISBN-13: 9783642074714; 9783540444886
Subjects: Mechanics; Engineering; Vibration
Description: Among the wide variety of nonlinear mechanical systems, it is possible to distinguish a representative class, which may be characterised by the presence of threshold nonlinear positional forces. Such discontinuous systems demonstrate a sudden and essential change in the behaviour of elastic and dissipative forces within every cycle of vibration. This monograph addresses the systematic representation of the methods of analysis developed by the authors as applied to such systems. Particular features of dynamic processes in such systems are studied. Special attention is given to an analysis of different resonant phenomena taking unusual and diverse forms. All solutions are transformed to the final analytical expressions allowing clear mechanical interpretation. These methods are applied to the analysis of mechanical systems designed for the generation and transformation of intensive impulsive processes or structures exposed to such a nonlinear dynamic loading. These are vibro-impact processes due to intermittent unilateral contacts of the structure elements, created by backlashes in joints and kinematic pairs, during opening and closing of cracks etc. New mechanical effects are described. Some engineering problems are solved using a combination of analytical technique and modern simulation tools.
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Table of contents: title: Operators of Linear Systems; title: Strongly Nonlinear Single Degrees of Freedom Systems; title: Multiple Degrees of Freedom Systems.