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.