Dynamic Analysis of a Beam by the Stochastic Finite Element Methodby Garrett D. Jeong, Purdue Univ, West Lafayette, United States,
Yu-Wei Ning, Purdue Univ, West Lafayette, United States,
Abstract: 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 | Stochastic processes | Beams | Dynamic analysis | Dynamic structural analysis | Elastic analysis | Statistics | Probability | Modal analysis | Vibration | Europe | Monaco | Monte Carlo
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