Response probability density functions of strongly non-linear systems by the path integration method

DOI10.1016/J.IJNONLINMEC.2006.04.002zbMath1160.70360OpenAlexW2065653164MaRDI QIDQ1018811

Arvid Naess, Eirik Mo, Daniil V. Iourtchenko

Publication date: 22 May 2009

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijnonlinmec.2006.04.002

zbMATH Keywords

controlprobability density functionpath integrationrandom vibrationsstrongly non-linear systemsswingsupcrossing rate

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Random vibrations in mechanics of particles and systems (70L05)

Related Items (7)

Probabilistic response of nonsmooth nonlinear systems under Gaussian white noise excitations ⋮ Non-stationary response of variable-mass Duffing oscillator with mass disturbance modeled as Gaussian white noise ⋮ Path integral approach via Laplace's method of integration for nonstationary response of nonlinear systems ⋮ Calculation of high-dimensional probability density functions of stochastically excited nonlinear mechanical systems ⋮ An analytical-numerical method for fast evaluation of probability densities for transient solutions of nonlinear Itô's stochastic differential equations ⋮ A new method for reliability-based sensitivity analysis of dynamic random systems ⋮ Path integral solution of vibratory energy harvesting systems

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