| 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 |
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| 引用本文： | 郑鑫,陶夏新,王福彤.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[J].岩土力学,2011,32(12):3763-3767. |
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| 作者姓名： | 郑鑫 陶夏新 王福彤 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金重点资助项目 |
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| 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。
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| 关 键 词： | 传递矩阵 弹性半空间 轴对称 误差分析 |
| 收稿时间： | 2011-06-12 |
Error analysis of axisymmetric dynamic problem of single soil layer overlaid on elastic half-space using transfer matrix method |
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| ZHENG Xin,TAO Xia-xin,WANG Fu-tong.Error analysis of axisymmetric dynamic problem of single soil layer overlaid on elastic half-space using transfer matrix method[J].Rock and Soil Mechanics,2011,32(12):3763-3767. |
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| Authors: | ZHENG Xin TAO Xia-xin WANG Fu-tong |
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| Institution: | 1. School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China; 2. College of Engineering, Heilongjiang Bayi Agricultural University, Daqing, Heilongjiang 163319, China; 3. School of Civil Engineering and Architecture, Heilongjiang University, Harbin 150001, China |
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| Abstract: | 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.... |
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| Keywords: | transfer matrix elastic half-space axisymmetric error analysis |
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