Random Vibrations of Geometrically Nonlinear Finite Element Structures

by C. T. Chen, Purdue Univ, United States,
T. Y. Yang, Purdue Univ, United States,

Document Type: Proceeding Paper

Part of: Probabilistic Methods in Civil Engineering


A finite element formulation combined with stochastic linearization method is developed to study the large amplitude vibration characteristics of structures subjected to random loadings. This study is limited to stationary response. Examples include beam and frame structures with different boundary conditions under various random loadings. Results are compared with alternative solutions, wherever available, and also with those calculated here by Monte Carlo simulation method.

Subject Headings: Finite element method | Vibration | Stochastic processes | Structural analysis | Frames | Nonlinear finite element analysis | Nonlinear analysis

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