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Sunday, July 26, 2020 | History

3 edition of Vibration of strongly nonlinear discontinuous systems found in the catalog.

Vibration of strongly nonlinear discontinuous systems

V. I. Babit︠s︡kiĭ

Vibration of strongly nonlinear discontinuous systems

by V. I. Babit︠s︡kiĭ

  • 194 Want to read
  • 19 Currently reading

Published by Springer in Berlin, New York .
Written in

    Subjects:
  • Vibration.,
  • Nonlinear oscillations.

  • Edition Notes

    Includes bibliographical references (p. [315]-329) and index.

    StatementV.I. Babitsky, V.L. Krupenin ; translated by A. Veprik.
    SeriesFoundations of engineering mechanics
    ContributionsKrupenin, V. L.
    Classifications
    LC ClassificationsTA355 .B23 2001
    The Physical Object
    Pagination1 v. (various pagings) :
    ID Numbers
    Open LibraryOL20644221M
    ISBN 103540414479
    LC Control Number2001042869

    () Nonlinear localization, passive wave arrest and traveling breathers in two-dimensional granular networks with discontinuous lateral boundary conditions. Wave Mot () Targeted energy transfers and passive acoustic wave redirection in a two-dimensional granular network under periodic excitation. The manuscripts in dynamical systems with nonlinearity and chaos are solicited, which includes mathematical theories and methods, physical principles and laws, and computational techniques. The journal provides a place to researchers for the rapid exchange of ideas and techniques in discontinuity, complexity, nonlinearity and chaos in physical.

      This book expounds the theory of non-linear vibrations. After introducing chapters giving the basic techniques for the study of non-linear systems the authors develop in detail the theory of selected topics encountered in their own work, presenting original material, approaches and results of analysis, and providing illustrations of useful applications. The method of quasiconservative averaging, developed originally to treat the random vibration of a system with a strongly nonlinear stiffness and under white-noise excitations, is modified to apply to the case of nonwhite wide-band excitations. The excitations can be either additive, multiplicative, or both.

      Mechanical vibrations of discontinuous systems. Jauregui-Correa, Juan Carlos and Oscar M. Gonzalez-Brambila. Nova Science Publishers pages $ Hardcover Mechanical engineering theory and applications TA systems. The various classifications of vibration namely, free and forced vibration, undamped and damped vibration, linear and nonlinear vibration, and deterministic and random vibration are indicated. The various steps involved in vibration analysis of an engineering system are outlined, and essential definitions and concepts of vibration are.


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Vibration of strongly nonlinear discontinuous systems by V. I. Babit︠s︡kiĭ Download PDF EPUB FB2

Vibration of Strongly Nonlinear Discontinuous Systems V.I. Babitsky, V.L. Krupenin, A. Veprik This monograph addresses the systematic representation of the methods of analysis developed by the authors as applied to such systems.

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.

In the reviewer opinion, the book presents many original solutions of dynamical problems for strongly nonlinear systems, and thus may be considered as a first systematical description of the theory of vibrations of strongly nonlinear systems with lumped parameters." (Yuri N.

Sankin, Zentralblatt MATH, Vol. (22), ). ISBN: OCLC Number: Description: 1 volume (various pagings): illustrations ; 24 cm. Contents: Chapter 1. Operators of linear systems Dynamic compliance Periodic Green functions Parametric periodic Green functions --Chapter ly nonlinear single-degree-of-freedom systems Conservative systems Forced vibrati.

Cumpără cartea Vibration of Strongly Nonlinear Discontinuous Systems de V.I. Babitsky la prețul de lei, discount 7% cu livrare gratuită prin curier oriunde în Edition: 7R Vibration of Strongly Nonlinear Discontinuous Systems.

Foundations of Engineering Mechanics. -VI Babitsky (Dept of Mech Eng, Louborough Univ, Louborough, Leicestershire, LE11 3TU, UK) and VL Krupenin (Inst of Machine Stud, Russian Acad of Sci, Moscow,Russia).

Springer-Verlag, Berlin. ISBN $Cited by: 8. Vibration of Strongly Nonlinear Discontinuous Systems by V. Babitsky; V. Krupenin Article in SIAM Review 45(2) January with 28 Reads How we measure 'reads'. Vibration of Strongly Nonlinear Discontinuous Systems Foundations of Engineering Mechanics: : Babitsky, Vladimir I., Krupenin, Vitaliy L.: Fremdsprachige Bücher.

Cite this article. Vibration of Strongly Nonlinear Discontinuous Systems. Meccan 87 () doi/A Download citation. Issue Date. February. Babitsky VI and Krupenin VL (), Vibration of Strongly Nonlinear Discontinuous Systems, Springer, Berlin (Translated from Russian, Nauka, Mosco, ).

Kobrinsky AE (), Dynamics of Mechanisms with Elastic Connections and Impact Systems, Iliffe Books Ltd, London (Translated from Russian, Nauka, Moscow, ). The NES is a completely passive, inherently broadband vibration absorber capable of attracting and dissipating vibrational energy from the primary structure to which it is attached, in this case a nonlinear discontinuous model of a drill-string system.

Such strongly nonlinear methods are developed in several chapters of this book based on the idea of non-smooth time substitutions.

Although most of the illustrations are based on mechanical oscillators, the area of applications may include also electric, electro-mechanical, electrochemical and other physical models generating strongly.

Get this from a library. Vibration of Strongly Nonlinear Discontinuous Systems. [Vladimir 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.

We have discussed a non-linear vibration system with constant frequency and amplitude. In a friction-involved system, transient or non-stationary phenomena could occur due to the instantly dynamic transition of coupling of two components under external operational conditions or under system interactions, in addition to the conventional time-varying properties such as stiffness or friction.

We extend a refined version of the subharmonic Melnikov method to piecewise-smooth systems and demonstrate the theory for bi- and trilinear oscillators. Fundamental results for approximating solutions of piecewise-smooth systems by those of smooth systems are given and used to obtain the main result.

Special attention is paid to degenerate resonance behavior, and analytical results are. Presents new developments on machine tool vibration control based on discontinuous dynamical systems.

Machining instability is a topical area, and there are a wide range of publications that cover the topic. However, many of these previous studies have started by assuming that the behavior of the system can be linearised.

This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method.

A method for the numerical analysis of nonlinear normal modes of forced vibrations in strongly nonlinear systems with piecewise linear elastic characteristics is proposed. Book. Full-text. Professor Luo is currently a Distinguished Research Professor at Southern Illinois University Edwardsville.

He is an international renowned figure in the area of nonlinear dynamics and mechanics. For about 30 years, Dr. Luo’s contributions on nonlinear dynamical systems and mechanics lie in (i) the local singularity theory for discontinuous dynamical systems, (ii) Dynamical systems.

Nonlinear system identification of the NES device shows that nonlinear stiffness properties are achieved using the elastomeric bumpers. Shake-table testing of the building equipped with the NES device demonstrates that the device is capable of dissipating and redistributing the induced vibration energy in a rapid, effective, and robust fashion.

International Centre of Vibro-Impact Systems; Springer book series “Foundations of Engineering Mechanics" Books in English: Babitsky, V., Theory of Vibro-Impact Systems and Applications, Springerpp., ISBN Vibration of Strongly Nonlinear Discontinuous Systems, Springerpp., ISBN Babitsky.investigations about nonlinear nonsmooth systems (for example, [].

But today there are many unexplored and unknown in such systems. Vibroimpact systems are exactly such systems - strongly nonlinear, non-smooth, with a discontinuous right-hand side.

The investigation of their behavior when both the system parameters and the external influence.Periodic responses of linear and nonlinear systems under discontinuous and impulsive excitations are analyzed with non-smooth temporal transformations incorporating temporal symmetries of periodic processes.

The related analytical manipulations are illustrated on a strongly nonlinear oscillator whose free vibrations admit an exact description in terms of elementary functions. As a result.