| 直角坐标系下层状地基力学计算中的传递矩阵技术 |
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| 引用本文： | 王有凯,牛婷婷. 直角坐标系下层状地基力学计算中的传递矩阵技术[J]. 工程力学, 2007, 24(Z1): 83-86 |
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| 作者姓名： | 王有凯 牛婷婷 |
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| 作者单位： | 河南理工大学土木工程学院,河南,焦作,454000 |
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| 摘 要： | 给出了在直角坐标系下计算层状地基力学问题的传递矩阵技术,改变了过去只能在柱坐标系下求解层状地基力学问题的状况,大大地简化了任意荷载作用下层状地基力学问题的计算。从直角坐标系下弹性问题的基本方程出发,通过改变坐标系的常规位置,成功地利用Laplace变换及其微分性质,首次推导出直角坐标系下的状态控制方程和对应的传递矩阵,并给出了利用该方法的求解过程。
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| 关 键 词： | 层状地基 Laplace变换 状态空间 传递矩阵 直角坐标系 |
| 文章编号： | 1000-4750(2007)Sup.Ⅰ-0083-04 |
| 修稿时间： | 2006-10-03 |
THE METHOD OF TRANSFERRING MATRIX FOR MULTI-LAYERED HALF SPACE ELASTIC PROBLEMS IN RECTANGULAR COORDINATE SYSTEM |
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| WANG You-kai,NIU Ting-ting. THE METHOD OF TRANSFERRING MATRIX FOR MULTI-LAYERED HALF SPACE ELASTIC PROBLEMS IN RECTANGULAR COORDINATE SYSTEM[J]. Engineering Mechanics, 2007, 24(Z1): 83-86 |
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| Authors: | WANG You-kai NIU Ting-ting |
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| Abstract: | A new method is proposed for solving the problem of non-axisymmetric elastic problems in multi-layered foundation with rectangular coordinate system. The method is simple and effective,which changes the situation that elastic multi-layered foundation problems could only be solved in cylindrical coordinate system. The location of rectangular coordinate system is changed so that Laplace transform and its differential properties can be used. Starting from the fundamental equations of elastic mechanics in rectangular coordinates,the state equations of one elastic layer and the state space transferring matrix are derived in rectangular coordinates. The procedure of solving the problem with this method is given. |
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| Keywords: | multi-layered half space Laplace transform the state space transferring matrix rectangular coordinate system |
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