Dynamic Analysis of a Beam by the Stochastic Finite Element Method

by Garrett D. Jeong, Purdue Univ, West Lafayette, United States,
Yu-Wei Ning, Purdue Univ, West Lafayette, United States,

Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond


The statistics on the natural frequencies and mode shapes of an uncertain structure are investigated. The uncertain structural properties are described by a continuous random process in the spatial domain as opposed to a set of independent random variables. A finite element model of the structure is used. A simply-supported beam with an uncertain modulus of elasticity is analyzed. The statistics for the four lowest modes of vibration are calculated using the perturbation method. The results are verified by Monte Carlo simulation.

Subject Headings: Finite element method | Structural analysis | Stochastic processes | Beams | Vibration | Statistics | Probability

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