First passage of uncertain single degree-of-freedom nonlinear oscillators

DOI10.1016/S0045-7825(98)00042-5zbMath0948.70019MaRDI QIDQ1818466

Qiaoling Liu, Bang-Chun Wen, Yi-Min Zhang

Publication date: 19 November 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

reliabilityrandom excitationstate functionEdgeworth series techniquestandard normal distribution functionsstatistical fourth moment method

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Random vibrations in mechanics of particles and systems (70L05)

Related Items (7)

Advanced method to estimate reliability-based sensitivity of mechanical components with strongly nonlinear performance function ⋮ Differential quadrature method for analyzing nonlinear dynamic characteristics of viscoelastic plates with shear effects ⋮ Dynamic properties of viscoelastic open shallow shells ⋮ Probabilistic analysis of dynamic stability for a rotating BDFG tapered beam with time-varying velocity and stochastic parameters ⋮ Fugue effect on bending of nonlinear viscoelastic beams ⋮ Matrix description of differential relations of moment functions in structural reliability sensitivity analysis ⋮ Non-probabilistic convex model process: a new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems

Cites Work

• Unnamed Item
• On the reliability of the linear oscillator and systems of coupled oscillators
• First-crossing probabilities of the linear oscillator
• On the First Excursion Probability in Stationary Narrow-Band Random Vibration
• On the First-Excursion Probability in Stationary Narrow-Band Random Vibration, II
• Model Building with the Aid of Stochastic Processes

This page was built for publication: First passage of uncertain single degree-of-freedom nonlinear oscillators