THE STOCHASTIC BOUNDARY ELEMENT METHOD IN STATISTICAL ANALYSIS OF MODERATELY THICK PLATES

In this paper a stochastic boundary element method(SBEM)isdeveloped to analyze moderately thick plates with random material parameters andrandom thickness.Based on the Taylor series expansion,the boundary integrationequations concerning the mean and deviation of the generalized displacements arederived,respectively.It is found that the randomness of material parameters isequivalent to a random load,so the mean and covariance matrices of unknowngeneralized boundary displacements and tractions can be obtained.Furthermore,themean and covariance of generalized displacements and forces at internal points can alsobe obtained.A numerical example has been worked out with the method proposed andnecessary analysis is made for the results.

THE STOCHASTIC BOUNDARY ELEMENT METHOD IN STATISTICAL ANALYSIS OF MODERATELY THICK PLATES

In this paper a stochastic boundary element method(SBEM)is developed to analyze moderately thick plates with random material parameters and random thickness.Based on the Taylor series expansion,the boundary integration equations concerning the mean and deviation of the generalized displacements are derived,respectively.It is found that the randomness of material parameters is equivalent to a random load,so the mean and covariance matrices of unknown generalized boundary displacements and tractions can be obtained.Furthermore,the mean and covariance of generalized displacements and forces at internal points can also be obtained.A numerical example has been worked out with the method proposed and necessary analysis is made for the results.