Power Spectral Density of Nonlinear System Response: The Recursion Method

DOI10.1115/1.2900801zbMath0774.70019OpenAlexW1991414111MaRDI QIDQ3134435

Pol D. Spanos, Valéry R. Roy

Publication date: 14 September 1993

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

Full work available at URL: https://doi.org/10.1115/1.2900801

zbMATH Keywords

spectral momentspower seriesLanczos algorithmlarge frequencieswhite noise excitationFokker-Planck- Kolmogorov equation\(J\)-fraction representationdouble-well Duffing oscillatorsvan der Pol type oscillators

Mathematics Subject Classification ID

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

Related Items (3)

MODELLING OF HIGH-DIMENSIONAL DIFFUSION STOCHASTIC PROCESS WITH NONLINEAR COEFFICIENTS FOR ENGINEERING APPLICATIONS — PART II: APPROXIMATIONS FOR COVARIANCE AND SPECTRAL DENSITY OF STATIONARY PROCESS ⋮ Linearization Techniques in Stochastic Dynamic Systems ⋮ Methods of nonlinear random vibration analysis.

This page was built for publication: Power Spectral Density of Nonlinear System Response: The Recursion Method