A method for analysis of non-linear vibrations caused by modulated random excitation

DOI10.1016/0020-7462(81)90026-3zbMath0457.60038OpenAlexW2005838592MaRDI QIDQ1151193

P.-T. D. Spanos

Publication date: 1981

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(81)90026-3

zbMATH Keywords

Fokker-Planck equationnon-stationary random excitationGalerkin techniqueaveraging procedureanalysis of non-linear vibrations

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Vibrations in dynamical problems in solid mechanics (74H45) Diffusion processes (60J60) Averaging method for ordinary differential equations (34C29)

Related Items (3)

Nonstationary probability densities of strongly nonlinear single-degree-of-freedom oscillators with time delay ⋮ Nonstationary probability densities of system response of strongly nonlinear single-degree-of-freedom system subject to modulated white noise excitation ⋮ Stochastic response of dynamical systems with fractional derivative term under wide-band excitation

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