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A new approximate solution technique for randomly excited nonlinear oscillators

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Publication:1117732
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DOI10.1016/0020-7462(88)90038-8zbMath0667.70036OpenAlexW4249214341MaRDI QIDQ1117732

S. H. Smith

Publication date: 1988

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(88)90038-8


zbMATH Keywords

Fokker-Planck equationstochastic averaginggeneralized stationary potentialapproximate probability densityresponse of a non-linear oscillator under Gaussian white noise excitations


Mathematics Subject Classification ID

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


Related Items (5)

An approach to the problem of closure in nonlinear stochastic mechanics ⋮ Developments in stochastic structural mechanics ⋮ Nonlinear system stochastic response determination via fractional equivalent linearization and Karhunen-Loève expansion ⋮ Nonzero mean PDF solution of nonlinear oscillators under external Gaussian white noise. ⋮ Methods of nonlinear random vibration analysis.






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