Probabilistic solution of vibro-impact stochastic Duffing systems with a unilateral non-zero offset barrier

DOI10.1016/j.physa.2014.05.057zbMath1395.70026OpenAlexW2091784080MaRDI QIDQ1782981

G. Richomme

Publication date: 20 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2014.05.057

zbMATH Keywords

Fokker-Planck equationstochastic processprobability density functionnon-smooth dynamicsvibro-impact Duffing system

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (10)

Response analysis of Rayleigh-Van der Pol vibroimpact system with inelastic impact under two parametric white-noise excitations ⋮ Stochastic response of a vibro-impact system with variable mass ⋮ Non-stationary response of variable-mass Duffing oscillator with mass disturbance modeled as Gaussian white noise ⋮ Stochastic vibration analysis of a nonlinear oscillator with symmetric viscoelastic impact protection under wide-band noise excitations ⋮ Probabilistic solutions of a variable-mass system under random excitations ⋮ Stochastic response of Duffing-van der Pol vibro-impact system with viscoelastic term under wide-band excitation ⋮ Probabilistic response analysis for a class of nonlinear vibro-impact oscillator with bilateral constraints under colored noise excitation ⋮ Response analysis for a vibroimpact Duffing system with bilateral barriers under external and parametric Gaussian white noises ⋮ Stochastic Response of a Vibro-Impact System via a New Impact-to-Impact Mapping ⋮ Stochastic bifurcation of a strongly non-linear vibro-impact system with Coulomb friction under real noise

Cites Work

• Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations
• Impact modes in discrete vibrating systems with rigid barriers
• Vibro-impact dynamics. Modeling, mapping and applications
• Numerical investigation of a response probability density function of stochastic vibroimpact systems with inelastic impacts
• Maximum entropy principle and nonlinear stochastic oscillators
• Random vibrations with impacts: a review
• A Periodically Forced Impact Oscillator With Large Dissipation
• Stochastic Dynamics of Impact Oscillators
• The dynamics of repeated impacts with a sinusoidally vibrating table
• Random vibration of a beam impacting stops
• HOPF BIFURCATION OF A TWO-DEGREE-OF-FREEDOM VIBRO-IMPACT SYSTEM

This page was built for publication: Probabilistic solution of vibro-impact stochastic Duffing systems with a unilateral non-zero offset barrier