Reliability Calculations with the Stochastic Finite Element

Perturbation Stochastic Finite Element of Mechanical Vibration

Author(s): Wenhui Mo

Pp: 71-78 (8)

DOI: 10.2174/9789811485534120010005

* (Excluding Mailing and Handling)


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.

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