论文部分内容阅读
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 ill-posed problem of transfer matrix in the axisymmetric dynamic problem of a single overlay in elastic half-space, an error analysis method is proposed. In this paper, we discuss the method of dealing with the integrand using the transfer matrix method to calculate the axisymmetric dynamic problem of a single overlay in the elastic half-space. Then, the treatment methods of inverse Hankel transform and inverse Laplace transform are briefly described. Small error method. The proposed method is validated by a degenerate model. The results show that this method can effectively reduce the error and provide a way to solve the ill-posed problem of transfer matrix in the dynamic problem of layered half-space by using transfer matrix method.