【摘要】 利用小参数摄动展开的方法，在确定性边界元法的基础上，发展了一种波动问题的随机边界元法，研究了具有随机波数的弹性半平面中简谐ＳＨ波的传播问题。文中给出了几个典型算例，结果表明采用的边界元求解方案是有效的、合理的，用随机边界元法处理随机性介质中的波动问题是一条可行的研究方向。作为工程应用简例，利用随机边界元法得到了有关结果的统计特征，计算了弹性半平面上不规则地形表面位移响应的置信区间，初步探讨了波动问题随机边界元法在系统可靠性分析方面的应用。更多还原

【Abstract】 Wave propagation phenomena in random medium are of importance for earthquake engineering and many other engineering problems. A scheme of stochastic boundary element methods based on deterministic boundary element methods and perturbation technique is developed for SH wave propagation problems in an elastic half plane with random wave numbers. A random half plane with a cylindrical canyon subjected to a deterministic incident SH wave is studied. The statistic measures of the response displacements are calculated by adopting the Chebyshev inequality. Numberical examples are given to demonstrate the applications of the stochastic boundary element methods in analyzing the material random effects on the amplitude and in calculating the confidence bound of the response displacements and in estimating the reliability of the system.更多还原