Generalization of the equivalent linearization method for nonlinear random vibration problems

DOI10.1016/0020-7462(87)90005-9zbMath0612.73093OpenAlexW2090244466MaRDI QIDQ1088494

B. George

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)90005-9

zbMATH Keywords

bifurcation pointparametricnonlinear oscillatorequivalent linearizationclosed system of differential equations for certain statistical momentsexternal random white noise excitationsIto equationsItô-equationslinearizing the drift termmaximum order of momentsecond degree polynomialsquare of the diffusion termunit Wiener process

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Random vibrations in mechanics of particles and systems (70L05) Ordinary differential equations and systems with randomness (34F05) Random vibrations in dynamical problems in solid mechanics (74H50)

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