Subharmonic response of a quasi-isochronous vibroimpact system to a randomly disordered periodic excitation
type: Item
instance of: scholarly article
title: Subharmonic response of a quasi-isochronous vibroimpact system to a randomly disordered periodic excitation
zbMATH Open document ID: 0929.70019
DOI: 10.1023/A:1008247831908
author: M. F. Dimentberg
author: O. van Ewijk
author: Daniil V. Iourtchenko
published in: Nonlinear Dynamics
publication date: 2000-02-02T00:00:00Z
review text: A quasi-isochronous vibroimpact system is considered, i.e. a linear system with a rigid one-sided barrier, which is slightly offset from the system's static equilibrium position. The system is excited by a sinusoidal force with disorder, or random phase modulation. The mean excitation frequency corresponds to a simple or subharmonic resonance, i.e. the value of its ratio to the natural frequency of the system without a barrier is close to some even integer. We study the influence of white-noise fluctuations of the instantaneous excitation frequency around its mean on the response. The analysis is based on a special Zhuravlev transformation, which reduces the system to one without impacts, or velocity jumps, thereby permitting the application of asymptotic averaging over the period for slowly varying inphase and quadrature response.
Mathematics Subject Classification ID: 70L05
zbMATH DE Number: 1283750
zbMATH Keywords: Monte Carlo simulation
zbMATH Keywords: white-noise fluctuations of excitation frequency
zbMATH Keywords: sinusoidal force with disorder
zbMATH Keywords: random phase modulation
zbMATH Keywords: subharmonic resonance
zbMATH Keywords: Zhuravlev transformation
zbMATH Keywords: asymptotic averaging
MaRDI profile type: Publication
full work available at URL: a:1008247831908
OpenAlex ID: W137773668
description: scientific article; zbMATH DE number 1283750