Oscillator Response to Nonstationary Excitation

DOI10.1115/1.3167745zbMath0572.70028OpenAlexW1973571362MaRDI QIDQ3690295

P.-T. D. Spanos, G. P. Solomos

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1115/1.3167745

zbMATH Keywords

energyphaseFokker-Planck equationGaussian processprobability distributionaveraging techniqueMarkov propertyamplitudesecond order theorycomparison to Monte Carlo studynonstationary, zero mean random processoscillator response

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Random vibrations in mechanics of particles and systems (70L05)

Related Items (7)

First passage failure of quasi non-integrable generalized Hamiltonian systems ⋮ First passage failure of dynamical power systems under random perturbations ⋮ First passage failure of MDOF quasi-integrable Hamiltonian systems with fractional derivative damping ⋮ Nonstationary response statistics of fractional oscillators to evolutionary stochastic excitation ⋮ Methods of nonlinear random vibration analysis. ⋮ Non-stationary response statistics of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitation ⋮ Stochastic processes evolutionary spectrum estimation via harmonic wavelets

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