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Resonant response of a non-linear vibro-impact system to combined deterministic harmonic and random excitations
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TLDR
In this article, the resonant resonance response of a single-degree-of-freedom non-linear vibro-impact oscillator, with cubic nonlinearity items, to combined deterministic harmonic and random excitations is investigated.Abstract:
The resonant resonance response of a single-degree-of-freedom non-linear vibro-impact oscillator, with cubic non-linearity items, to combined deterministic harmonic and random excitations is investigated The method of multiple scales is used to derive the equations of modulation of amplitude and phase The effects of damping, detuning, and intensity of random excitations are analyzed by means of perturbation and stochastic averaging method The theoretical analyses verified by numerical simulations show that when the intensity of the random excitation increases, the non-trivial steady-state solution may change from a limit cycle to a diffused limit cycle Under certain conditions, impact system may have two steady-state responses One is a non-impact response, and the other is either an impact one or a non-impact oneread more
Citations
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Vibration analysis of cantilever pipe conveying fluid under distributed random excitation
Saeid Sazesh,Shahrokh Shams +1 more
TL;DR: In this article, the effects of viscoelastic dissipation, mass ratio and damping ratio of surrounding environment were investigated for the pipe under random excitation and results showed a good agreement with other studies.
Journal ArticleDOI
Stochastic bifurcations in a vibro-impact Duffing–Van der Pol oscillator
TL;DR: In this paper, the stochastic bifurcations in a vibro-impact Duffing-Van der Pol oscillator, subjected to white noise excitations, are investigated.
Journal ArticleDOI
Bifurcation analysis of a stochastically excited vibro-impact Duffing-Van der Pol oscillator with bilateral rigid barriers
TL;DR: In this article, the bifurcation analysis of a DVDP oscillator with rigid barriers, subjected to additive white noise excitations, is studied in terms of D and P-bifurcations.
Journal ArticleDOI
Random response of vibro-impact systems with inelastic contact
TL;DR: In this paper, the probability density and statistics of random response are investigated for vibro-impact systems with inelastic contact, and the inlastic contact force is separated into an elastic restoring component and a dissipative component; the former is expressed as the gradient of the potential energy preserved in the system while the latter is approximated by a damping force with energy-dependent damping coefficient through energy dissipation balance technique.
Journal ArticleDOI
Random vibration of SDOF vibro-impact oscillators with restitution factor related to velocity under wide-band noise excitations
Jiamin Qian,Lincong Chen +1 more
TL;DR: In this paper, the impact velocity dependent restitution factor of SDOF vibro-impact oscillators with the restitution factor related to velocity under wide-band noise excitations was investigated, and the results showed that the classical impact model can simplify the calculations to some extent.
References
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Book
Perturbation Methods
Ali H. Nayfeh,Vimal Singh +1 more
TL;DR: This website becomes a very available place to look for countless perturbation methods sources and sources about the books from countries in the world are provided.
Book
Introduction to perturbation techniques
TL;DR: In this paper, the authors introduce the notion of forced Oscillations of the Duffing Equation and the Mathieu Equation for weakly nonlinear systems with quadratic and cubic nonlinearities.
Journal ArticleDOI
Digital simulation of random processes and its applications
Masanobu Shinozuka,C.-M. Jan +1 more
TL;DR: In this article, the authors presented an efficient method for digital simulation of general homogeneous processes as a series of cosine functions with weighted amplitudes, almost evenly spaced frequencies, and random phase angles.
Journal ArticleDOI
Simulation of Multivariate and Multidimensional Random Processes
TL;DR: In this article, the authors present efficient and practical methods of simulating multivariate and multidimensional processes with specified cross-spectral density matrix, which can be expressed as the sum of cosine functions with random frequencies and random phase angles.