| 传递矩阵法的Zn误差分析 |
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| 引用本文： | 尹一平,王元汉.传递矩阵法的Zn误差分析[J].岩土力学,2001,22(4):440-442. |
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| 作者姓名： | 尹一平 王元汉 |
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| 作者单位： | 1. 第二炮兵指挥学院,
2. 华中科技大学,土木工程学院, |
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| 摘 要： | 以轴对称问题的传递矩阵法为基础，在传递矩阵法的数值计算中，发现最下层弹性体的计算深度Zn引起了很大的误差，甚至使结果变得非常不可靠。将总传递矩阵B理解为两大部分；B=GA,其中G是最下层的传递矩阵，A是其它所有传递矩阵的乘积，其后，再利用矩阵乘法的知识将B展开，这样得到的计算公式不含Zn。
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| 关 键 词： | 传递矩阵法 Hankel变换 矩阵乘法 总传递矩阵 Zn误差 |
| 文章编号： | 1000-7598-(2001)04-0440-03 |
| 修稿时间： | 2000年11月28 |
Analysis of error caused by Zn in transferring matrix method |
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| YIN Yi-ping ,WANG Yuan-han.Analysis of error caused by Zn in transferring matrix method[J].Rock and Soil Mechanics,2001,22(4):440-442. |
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| Authors: | YIN Yi-ping WANG Yuan-han |
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| Institution: | YIN Yi-ping 1,WANG Yuan-han 2 |
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| Abstract: | On the bais of the transferring matrix method,which is an explicit solution for axisymmetric problem in layered elastic semi-infinite body,the calculational method given in this paper can reduce the error,which is caused mainly by the depth of the downmost elastic layer.Of course,during the process,how to multiply the matrixes subtly is of great importance.The assembled transferring matrix B is divided into two parts:B=GA,of which the G represents the transferring matrix of the downmost elastic layer,and the A is the product of the other transferring matrixes formed from elastic layer n-1to layer1. |
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| Keywords: | transferring matrix method Hankel transform matrix multiplication assembled transferring matrix |
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