Response Envelope Statistics for Nonlinear Oscillators With Random Excitation

DOI10.1115/1.3424222zbMath0396.70029OpenAlexW2064075068MaRDI QIDQ4179885

P.-T. D. Spanos, Wilfred D. Iwan

Publication date: 1978

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

Full work available at URL: https://semanticscholar.org/paper/9a1315b904eb4b7a33126e8156c4fcf714873138

zbMATH Keywords

Random Differential EquationGaussian White NoiseDuffing OscillatorLightly Damped And Weakly Nonlinear OscillatorResponse Envelope Statistics

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Random vibrations in mechanics of particles and systems (70L05) Ordinary differential equations and systems with randomness (34F05)

Related Items (7)

Nonstationary probability densities of strongly nonlinear single-degree-of-freedom oscillators with time delay ⋮ Transient response analysis of a system with nonlinear stiffness and nonlinear damping excited by Gaussian white noise based on complex fractional moments ⋮ Path integral approach via Laplace's method of integration for nonstationary response of nonlinear systems ⋮ Numerical simulations of a Van der Pol oscillator ⋮ Transient response of nonlinear vibro-impact system under Gaussian white noise excitation through complex fractional moments ⋮ Methods of nonlinear random vibration analysis. ⋮ Hopf bifurcation of compound stochastic van der Pol system

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