Stochastic finite element analyses of uncertain nonlinear plane trusses under random excitations

A method of stochastic finite element analysis is developed in this study to solve for the response statistics and reliability of nonlinear truss structures with uncertain system parameters under random excitations. Emphasis is on structural nonlinear behavior due to both large deflection and inelastic deformation. The constitutive law is based on an explicit differential equation model, and the model parameters are determined in terms of material property constants according to plasticity theory. Random excitations are modeled as Gaussian filtered white noises, whereas uncertain system parameters are modeled as either random fields or random variables. Based on a total Lagrangian finite element formulation, a set of stochastic nonlinear equations of motion is obtained. A stochastic equivalent linearization method, in conjunction with a perturbation method, is then developed to solve for the total response statistics. A second order asymptotic method is proposed to evaluate the overall structural reliability.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Civil Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Cherng, Rwey-Hua

Contributors dc:contributor

• Wen, Y.K.

• Applied Mechanics
• Engineering, Civil

Statement dc:rights

• Copyright 1992 Cherng, Rwey-Hua

Language dc:language

eng

Identifier

AAI9236423
(UMI)AAI9236423

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/20361