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Saturday, August 1, 2020 | History

5 edition of Chaotic Mechanics in Systems With Impacts and Friction (World Scientific Series on Nonlinear Science , No a) found in the catalog.

Chaotic Mechanics in Systems With Impacts and Friction (World Scientific Series on Nonlinear Science , No a)

by Barbara Blazejczyk-Okolewska

  • 240 Want to read
  • 3 Currently reading

Published by World Scientific Publishing Company .
Written in English

    Subjects:
  • Chaos theory,
  • Classical mechanics,
  • Mathematics for scientists & engineers,
  • Mechanical engineering,
  • Mechanics of solids,
  • Non-linear science,
  • Engineering - Mechanical,
  • Science,
  • Technology & Industrial Arts,
  • Science/Mathematics,
  • Chaotic Behavior in Systems,
  • Mechanics - Dynamics - General

  • The Physical Object
    FormatHardcover
    Number of Pages200
    ID Numbers
    Open LibraryOL9194904M
    ISBN 109810237162
    ISBN 109789810237165

    This book presents the latest developments in the field of nonlinear dynamics of mass distributed parameter nanomechanical structures and helps scientists and specialists interested in a rigorous and comprehensive study of modelling nonlinear phenomena governed by PDEs. The dynamics of a dual-spinner subject to the action of an internal oscillatory torque and Coulomb friction between the two linked bodies is investigated. The conditions for existence of transverse homoclinic points and homoclinic tangency of chaotic motions are obtained using Melnikov’s method.

    'Mathematical and Numerical Methods of Analysis of Bifurcation and Chaotic Dynamics of Mechanical Systems with Friction and Impacts', Lodz University of Technology Press, , p. (in Polish), Book Authors: J. Awrejcewicz, Yu. Pyryev, G. Kudra, P. OLejnik. The interest of the applied mechanics community in chaotic dynamics of engineering systems has exploded in the last fifteen years, although research activity on nonlinear dynamical problems in mechanics started well before the end of the Eighties. It developed first within the general context of.

    Abstract. Self-sustained oscillations due to dry friction often occur in engineering systems, cf. Magnus [1]. One example, the phenomenon of machine tool chattering which deteriorates the production quality and increases the tool wear is — at least partly — caused by friction .   The basic concepts, the mathematical models and the solving methods for the non-linear dynamics of geared systems are then reviewed. The critical issues for further research on the nonlinear vibration in gear transmission systems are also discussed. There are references cited in .


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Chaotic Mechanics in Systems With Impacts and Friction (World Scientific Series on Nonlinear Science , No a) by Barbara Blazejczyk-Okolewska Download PDF EPUB FB2

: Chaotic Mechanics in Systems with Impacts and Friction (World Scientific Nonlinear Science Series a) (): Blazejczyk-Okolewska, Barbara, Czolczynski, Krzysztof, Kapitaniak, Tomasz, Wojewoda, Jerzy: BooksCited by: Chaotic Mechanics In Systems With Impacts And Friction by Barbara Blazejczyk-Okolewska,available at Book Depository with free delivery worldwide.

Chaotic phenomena in applied mechanics --Imapct oscillator with dry friction --Systems with impacts --Systems with friction. Series Title: World Scientific series on nonlinear science., Series A, Monographs and treatises ;, v.

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For online purchase, please visit. Dynamics of impact oscillator with dry friction. Introduction. Mathematical model and its physical quantities. Numerical results. Conclusions. An investigation of the dynamic system with impacts. Introduction. Condition for the onset of the impact motion.

Solution of the fundamental periodic impact motion. Analysis of the solutions of the. This book is aimed primarily towards physicists and mechanical engineers specializing in modeling, analysis, and control of discontinuous systems with friction and impacts.

It fills a gap in the existing literature by offering an original contribution to the field of discontinuous mechanical systems based on mathematical and numerical modeling as well as the control of such systems. Influence of dry friction and clearances.

Properties of a dry friction force. Chaos in systems with dry friction. Basic theory of impact. Coefficient of restitution.

Chaos in impact oscillator. Devil's attractor and chaos of a driven impact oscillator. The phenomenon of a grazing impact. Analysis of the simplest impact oscillator.

The interest of the applied mechanics community in chaotic dynamics of engineering systems has exploded in the last fifteen years, Dynamics of Mechanical Systems with Soft Impacts. František Peterkat. Pages Rotor applied mechanics chaos design friction mechanics microelectromechanical system.

The main part of this book is based on the authors' recent works, but it also presents the results which are the combined achievements of many investigators.

Contents: Introduction; Attractors of Dynamical Systems; Strange Nonchaotic Attractors; Inhibition of Chaotic Behaviour in Coupled Geophysical Models; Experimental System with Dry Friction.

The work is devoted to modelling and numerical analysis of technical systems with impacts and dry friction. The model of a mechanical system subjected to unilateral constraints, together with the.

PDF | On Jan 1,Jan Awrejcewicz and others published Regular and chaotic dynamics in technical systems with friction and impacts (in Polish) | Find, read and cite all the research you need.

Chaotic dynamics in these kinds of systems with impacts can be quantitatively characterized by means of the Lyapunov exponents.

For the chaotic attractors A and B it turns out that the maximal Lyapunov exponent is, in fact, a positive number (≈ for both), as indicated by Figs. 2(c) and (d), respectively. The studies mainly focus on the self-excited motion, forced vibration, stick-slip motion, bifurcation phenomena and chaotic motion of deterministic dry friction systems [3][4][5][6] [7] [8][9.

The vibratory bowl feeder is widely used to convey small engineering parts, and can be considered as a typical non-linear dynamic system experiencing repeated impacts with friction. This paper presents a simplified model and analysis for the dynamic behavior of a single part on the vibrating track of the bowl feeder.

This means that physical effects like friction and impacts are usually modelled in a simple way and described, e.g. by Coulomb's friction law and Newton's impact law leading to a non-smooth force and motion characteristic, respectively. PETERKA, F and VACIK, J., Transition to chaotic motion in mechanical systems with impact.

J Sound Vbr. Blazejczyk-Okolewska, K. Czolczynski, T. Kapitaniak and J. Wojewoda (). CHAOTIC MECHANICS IN SYSTEMS WITH IMPACTS AND FRICTION, World Scientific, Singapore.

World Scientific. Kapitaniak, S. Bishop (). Books in Polish. Kapitaniak, J. Wojewoda () Bifurcacje i chaos (Bifurcations and Chaos), Wydawnictwo Politechniki.

This book is aimed primarily towards physicists and mechanical engineers specializing in modeling, analysis, and control of discontinuous systems with friction and impacts. Chaotic Dynamics provides a clear introduction to chaotic phenomena, based on geometrical interpretations and simple arguments, without requiring prior in-depth scientific and mathematical knowledge.

Richly illustrated throughout, examples are taken from classical mechanics whose elementary laws are familiar to the s: 1.

Dynamics of a bush-shaft system with impact and friction. the auspices of the Committee of Mechanics of the Polish Aca and in Springer multi-volume Edited Books under Proceedings in. For the control switched off, in Fig. 2(a) we show a bifurcation diagram of the velocity, x ˙, in terms of the damping coefficientas can be seen, there is a wide range of the parameter for which the system presents chaotic dynamics, with one, two and three bands, occasionally interrupted by narrow periodic windows.You can write a book review and share your experiences.

Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.European Journal of Mechanics - A/Solids.

Supports open access. CiteScore. Impact Factor. Submit your article. Articles & Issues. select article Chaotic responses and nonlinear dynamics of the graphene nanoplatelets reinforced doubly-curved panel. select article Coulomb friction with rolling resistance as a cone.