Response statistics of nonlinear systems to combined deterministic and random excitations

DOI10.1016/0020-7462(90)90014-ZzbMath0726.73045OpenAlexW1978626975MaRDI QIDQ802929

S. J. Serhan, Ali Hasan Nayfeh

Publication date: 1990

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(90)90014-z

zbMATH Keywords

method of multiple scalesperturbationlinearizationwhite noisedeterministic part of the excitationDuffing- Rayleigh oscillatormean-square responserandom part of the excitationsecond-order closure methodseparable nonstationary random amplitude and phasestable periodic responsesstationary meansteady-state periodic responsessum of a deterministic harmonic component and a random componenttwo averaged first-order differential equations

Mathematics Subject Classification ID

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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