Response of a Single-mass Vibroimpact System to White-noise Random Excitation

DOI10.1002/zamm.19790591205zbMath0425.73019OpenAlexW1964917775MaRDI QIDQ3860905

A. I. Menyailov, M. F. jun. Dimentberg

Publication date: 1979

Published in: ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19790591205

zbMATH Keywords

external excitationelastic impactclosed-form solution for stationary probability densityfirst-order stochastic equation for energyFokker- Planck-Kolmogorov equationpiecewise- differentiable transformquasiconservative approximation by averaging energysingle-mass vibroimpact systemwhite-noise random excitation

Mathematics Subject Classification ID

Gaussian processes (60G15) Random vibrations in mechanics of particles and systems (70L05) Impact in solid mechanics (74M20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (9)

The application of asymptotic methods to certain stochastic problems of the dynamics of vibropercussive systems ⋮ Response analysis of Rayleigh-Van der Pol vibroimpact system with inelastic impact under two parametric white-noise excitations ⋮ Stochastic response of Duffing-van der Pol vibro-impact system with viscoelastic term under wide-band excitation ⋮ Transient response of nonlinear vibro-impact system under Gaussian white noise excitation through complex fractional moments ⋮ Vibro-impact system based on forced oscillations of heavy mass particle along a rough parabolic line ⋮ Probabilistic response analysis for a class of nonlinear vibro-impact oscillator with bilateral constraints under colored noise excitation ⋮ Stochastic responses of lightly nonlinear vibroimpact system with inelastic impact subjected to external Poisson white noise excitation ⋮ Stochastically perturbed sliding motion in piecewise-smooth systems ⋮ First-passage failure of linear oscillator with non-classical inelastic impact

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