传递矩阵法求解弹性半空间单一覆盖层轴对称动力问题的误差分析  

Error analysis of axisymmetric dynamic problem of single soil layer overlaid on elastic half-space using transfer matrix method

作　　者：郑鑫[1,2] 陶夏新[1] 王福彤[1,3] 

机构地区：[1]哈尔滨工业大学土木工程学院,哈尔滨150090 [2]黑龙江八一农垦大学工程学院,黑龙江大庆163319 [3]黑龙江大学建筑工程学院,哈尔滨150001

出　　处：《岩土力学》2011年第12期3763-3767,共5页Rock and Soil Mechanics

基　　金：国家自然科学基金重点资助项目(No.50538030)

摘　　要：为解决弹性半空间单一覆盖层轴对称动力问题中传递矩阵病态的问题,提出了误差分析方法。分3种情况讨论了采用传递矩阵法计算弹性半空间单一覆盖层轴对称动力问题中被积函数处理方法,进而对逆Hankel变换和逆Laplace变换的处理方法进行了简要说明,据此提出了减小误差的方法。通过退化模型对所提出的方法进行了验证,结果表明该方法可有效减小误差,为利用传递矩阵法求解层状半空间动力问题中传递矩阵病态的问题提供了思路。In order to solve the problem that transfer matrix in axisymmetric dynamic problem of single soil layer overlaid on elastic half-space is ill-conditioned,the error analysis method is presented.The disposal method for integrand is discussed in three conditions;then the disposal method for the inverse-Hankel transformation and the inverse-Laplace transformation is briefly introduced.Based on these,the method how to decrease the error is presented.The analysis result is verified through the degenerating model.The result indicates that the method presented can effectively decrease error.All this work can provide idea for solve the problem that transfer matrix in axisymmetric dynamic problem of layered elastic half space.

关 键 词：传递矩阵 弹性半空间 轴对称 误差分析 

分 类 号：O241.1[理学—计算数学]