Reliability Calculations with the Stochastic Finite Element

Reliability Calculations with the Stochastic Finite Element

Reliability Calculations with the Stochastic Finite Element presents different methods of reliability analysis for systems. Chapters explain methods used to analyze a number of systems such as single ...
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Perturbation Stochastic Finite Element of Mechanical Vibration

Pp. 71-78 (8)

DOI: 10.2174/9789811485534120010005

Author(s): Wenhui Mo

Abstract

Perturbation stochastic finite element of mechanical vibration is introduced. The vibration equation of a system is transformed into a static problem by using the Willson θ method. An improved method of perturbation stochastic finite element is proposed. The formulas of calculating perturbation stochastic finite elements are transformed into linear equations to avoid solving matrix inversion. A numerical example is given in order to demonstrate the proposed.

Keywords:

Linear equations, Matrix inversion, Newmark method, Perturbation stochastic finite element.