Stochastic Response Analysis of Nonlinear Plane Trusses with Spatial Variability

by Rwey-Hua Cherng, Univ of Illinois at Urbana-Champaign, Urbana, United States,
Yi-Kwei Wen, Univ of Illinois at Urbana-Champaign, Urbana, United States,

Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond


This study considers responses of geometrically and materially nonlinear plane truss structures with spatially uncertain system parameters, subjected to random excitations. A stochastic linearization method in conjunction with a perturbation method is proposed to solve for the response statistics. Results of a structure under Gaussian filtered white noise ground excitation indicate that the stochastic linearization method has good accuracy and requires little computational time, also the contribution of the system spatial uncertainties to the total response statistics can not be neglected.

Subject Headings: Stochastic processes | Spatial analysis | Nonlinear analysis | Nonlinear response | Trusses | Spatial variability | Excitation (physics) | Linear functions

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