Vibration of Strongly Nonlinear Discontinuous Systems by V.I. Babitsky, V.L. Krupenin.

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 diss...

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Bibliographic Details
Main Authors: Babitsky, V.I (Author), Krupenin, V.L (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
Edition:1st ed. 2001.
Series:Foundations of Engineering Mechanics,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.

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505 0 |a 1 Operators of Linear Systems -- §1. Dynamic Compliance -- §2. Periodic Green Functions -- §3 Parametric Periodic Green Functions -- 2 Strongly Nonlinear Single-Degree-of Freedom Systems -- §4 Conservative Systems -- §5 Forced Vibration -- §6 Vibration in Autonomous Systems -- §7 Parametric Vibration -- §8 Random Vibration -- 3 Multiple-Degree-of-Freedom Systems -- §9 Forced Vibration in Multiple-Degree-of-Freedom Systems -- §10 Parametric Vibration in the Multiple-Degree-of-Freedom Systems -- Additional Bibliography -- Appendix I The Averaging Method in Systems with Impacts -- Appendix II On the Analysis of Resonant Vibration of Vibro-impact Systems Using the Averaging Technique -- Appendix III Structure-borne Vibroimpact Resonances and Periodic Green Functions -- Appendix IV Nonlinear Correction of a Vibration Protection System Containing Tuned Dynamic Absorber. 
520 |a 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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