Excitation of Vibro-Impact Systems by Periodic Impulses

Kember, S.A.; Babitsky, Vladimir

doi:10.1006/jsvi.1999.2353

Cited by 11 publications

(4 citation statements)

References 5 publications

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“…Characteristics of the horizontal straightline motion of single-mass, one-sided vibro-impact systems are presented in [4], [5], [6], and [7]. A vibro-impact system with two masses moving separately and impacting mutually is presented in [8], while a vibro-impact system with a movable limiter is presented in [9]. Stability considerations of the periodic motions of vibro-impact systems are given in [10].…”

Section: Lj Garić Analysis Of Vibro-impact Processes Of a Single-masmentioning

confidence: 99%

Analysis of Vibro-Impact Processes of a Single-Mass System with Viscous Damping and a Single Limiter

Garić¹

2017

T FAMENA

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SummaryThe paper presents an analysis of the horizontal straight-line motion of a single-mass, one-sided vibro-impact system in the cases when the external coercive force and the viscous damping force are known and a periodic vibro-impact mode is realized in the system. Vibroimpact systems represent the basis of industrial machinery. Periodic motion modes, realized as forced damped oscillations, are characteristic of these systems. Due to the variety of vibroimpact systems, there are various computing methods used for the analysis and description of processes in vibro-impact systems. The process of obtaining results is, generally, very complex and time-consuming because there is a need of using linear differential equations in computing. The aim of the analysis presented in this paper is to determine the areas of the periodic vibro-impact mode existence.

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Section: Lj Garić Analysis Of Vibro-impact Processes Of a Single-masmentioning

confidence: 99%

Analysis of Vibro-Impact Processes of a Single-Mass System with Viscous Damping and a Single Limiter

Garić¹

2017

T FAMENA

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“…The method of PGF is a convenient tool which is well suited for the analysis of such resonant regimes [5,6]. The force of impact interaction in this regime may be thought of as a periodic function of time F(t) and, generally speaking, may be represented in the form of the Fourier series…”

Section: Dynamic Model and Analytical Solution Of Vibro-impact Problemmentioning

confidence: 99%

Non-Linear Correction of Vibration Protection System Containing Tuned Dynamic Absorber

Veprik¹,

Babitsky²

2001

Journal of Sound and Vibration

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“…There has been rapid development in the literature on periodic impulse systems. Kember and Babitsky [18] investigated an exact steady state solution of vibro-impact systems with periodic impulse excitation via the periodic Green function method. Using Horn's fixed point theorem, Shen et al [19] discussed the bounded and periodic properties of solutions of impulsive ordinary differential equations and functional differential equations.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Software Systems with Aperiodic Impulse Rejuvenation

Huo

Chen

2022

Mathematics

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This paper aims to obtain the dynamical solution and instantaneous availability of software systems with aperiodic impulse rejuvenation. Firstly, we formulate the generic system with a group of coupled impulsive differential equations and transform it into an abstract Cauchy problem. Then we adopt a difference scheme and establish the convergence of this scheme by applying the Trotter–Kato theorem to obtain the system’s dynamical solution. Moreover, the instantaneous availability as an important evaluation index for software systems is derived, and its range is also estimated. At last, numerical examples are shown to illustrate the validity of theoretical results.

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Excitation of Vibro-Impact Systems by Periodic Impulses

Cited by 11 publications

References 5 publications

Analysis of Vibro-Impact Processes of a Single-Mass System with Viscous Damping and a Single Limiter

Analysis of Vibro-Impact Processes of a Single-Mass System with Viscous Damping and a Single Limiter

Non-Linear Correction of Vibration Protection System Containing Tuned Dynamic Absorber

Dynamic Analysis of Software Systems with Aperiodic Impulse Rejuvenation

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