The energy envolope of a randomly excited non-linear oscillator

DOI10.1016/S0022-460X(78)80027-3zbMath0401.70027OpenAlexW2057604307MaRDI QIDQ4185872

J. B. Roberts

Publication date: 1978

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-460x(78)80027-3

zbMATH Keywords

Fokker-Planck EquationOne-Dimensional Markov ProcessRandomly Excited Nonlinear Oscillator

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05)

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Stochastic stationary response of a variable-mass system with mass disturbance described by Poisson white noise ⋮ Approximate stationary solution and stochastic stability for a class of differential equations with parametric colored noise ⋮ Stochastic equivalent linearization algorithms and their applicability to hysteretic systems ⋮ Stochastic averaging of quasi-integrable and non-resonant Hamiltonian systems under combined Gaussian and Poisson white noise excitations ⋮ Methods of nonlinear random vibration analysis.

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