The Steady-State Response of a Class of Dynamical Systems to Stochastic Excitation

DOI10.1115/1.3162538zbMath0507.73072OpenAlexW1976693580MaRDI QIDQ4745395

T. K. Caughey, Fai Ma

Publication date: 1982

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://resolver.caltech.edu/CaltechAUTHORS:CAUjam82

zbMATH Keywords

stochastic excitationapplied to classical oscillator problemscoupled nonlinear dynamical systemsexact steady- state probability density function

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Diffusion processes (60J60) Random vibrations in dynamical problems in solid mechanics (74H50)

Related Items (8)

Nonstationary probability densities of strongly nonlinear single-degree-of-freedom oscillators with time delay ⋮ Determining response probability density of nonlinear stochastic systems by modifying analytical result of degenerated systems ⋮ Explicit expression of stationary response probability density for nonlinear stochastic systems ⋮ Exact solutions for stationary responses of several classes of nonlinear systems to parametric and/or external white noise excitations ⋮ A generalized analysis technique of the stationary FPK equation in nonlinear systems under Gaussian white noise excitations ⋮ Probability density and stochastic stability for the coupled Van der Pol oscillator system ⋮ Methods of nonlinear random vibration analysis. ⋮ Exact stationary solutions independent of energy for strongly nonlinear stochastic systems of multiple degrees of freedom

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