Prediction of the response of nonlinear oscillators under stochastic parametric and external excitations

DOI10.1016/0020-7462(87)90017-5zbMath0606.73102OpenAlexW1994741702MaRDI QIDQ1084953

R. J. Chang, G. E. Young

Publication date: 1987

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(87)90017-5

zbMATH Keywords

nonlinear oscillatorsdensity functionsFokker-Planck-Kolmogorov equationDuffling type nonlinear oscillatorsexternal zero-mean stochastic processmatch the stationary variances of the statesmethod of equivalent external excitationpolynomial, non-polynomialstationary variancesstochastic parametric

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Vibrations in dynamical problems in solid mechanics (74H45) Random vibrations in mechanics of particles and systems (70L05) Random vibrations in dynamical problems in solid mechanics (74H50)

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Probability density statistical and equivalent linearization techniques ⋮ Exact and approximate response of non-linear stochastic systems ⋮ Linearization Techniques in Stochastic Dynamic Systems ⋮ Hopf bifurcation of compound stochastic van der Pol system

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