Perturbation method for probabilistic dynamic finite element analysis of a rectangular plate

In this study, the statistical dynamic response of rectangular plates with stochastic mass density and Young's modulus of elasticity is investigated, using the perturbation technique in conjunction with the finite element method. The proposed method produces the expectation, variance, and autocorrelation function of the deflection, strain, and stress that are useful in estimating structural safety and reliability. Some statistical responses obtained by the perturbation method are checked by the Monte Carlo Simulation. Also, the statistical dynamic responses of a rectangular plate are evaluated for parameters that control the shape of the power spectra of the stochastic field.