THE STOCHASTIC BOUNDARY ELEMENT METHOD IN STATISTICAL ANALYSIS OF MODERATELY THICK PLATES
THE STOCHASTIC BOUNDARY ELEMENT METHOD IN STATISTICAL ANALYSIS OF MODERATELY THICK PLATES作者机构:ZHEJIANG UNIVHANGZHOU 310027PEOPLES R CHINA
出 版 物:《Acta Mechanica Solida Sinica》 (固体力学学报(英文版))
年 卷 期:1995年第8卷第2期
页 面:163-170页
核心收录:
学科分类:08[工学] 080104[工学-工程力学] 0815[工学-水利工程] 0801[工学-力学(可授工学、理学学位)]
主 题:ISOTROPIC MODERATELY THICK PLATES STOCHASTIC BOUNDARY ELEMENT METHOD STATISTICAL ANALYSIS COVARIANCE
摘 要:In this paper a stochastic boundary element method (SEEM) 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.