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4. Stochastic Finite Element for Structural Vibration

Author

Mo Wenhui

Subjects
Mathematical optimization, Stochastic field, Article Subject, lcsh:Mathematics, General Mathematics, MathematicsofComputing_NUMERICALANALYSIS, General Engineering, lcsh:QA1-939, Finite element method, Vibration, symbols.namesake, lcsh:TA1-2040, Conjugate gradient method, Structural vibration, Taylor series, symbols, Applied mathematics, Newmark-beta method, lcsh:Engineering (General). Civil engineering (General), Midpoint method, Mathematics
Abstract

This paper proposes a new method of calculating stochastic field. It is an improvement of the midpoint method of stochastic field. The vibration equation of a system is transformed to a static problem by using the Newmark method and the Taylor expansion is extended for the structural vibration analysis with uncertain factors. In order to develop computational efficiency and allow for efficient storage, the Conjugate Gradient method (CG) is also employed. An example is given, respectively, and calculated results are compared to validate the proposed methods.

Published
2010

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