| 三维层状场地的精确动力刚度矩阵及格林函数 |
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| 引用本文： | 梁建文,巴振宁.三维层状场地的精确动力刚度矩阵及格林函数[J].地震工程与工程振动,2007,27(5):7-17. |
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| 作者姓名： | 梁建文 巴振宁 |
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| 作者单位： | 天津大学,土木工程系,天津,300072 |
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| 基金项目： | 教育部新世纪优秀人才支持计划(NCET-05-0248)，天津市应用基础研究重点项目(07JCZDJC10100) |
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| 摘 要： | 本文对Wolf二维层状场地精确动力刚度矩阵进行推广,给出了三维层状场地的精确动力刚度矩阵。刚度矩阵具有对称的特点,且因刚度矩阵是精确的,计算结果不受土层单元厚度的影响,可以大大提高计算效率。文中对刚度矩阵进行了数值验证。利用三维层状场地动力刚度矩阵,计算分析了基岩上单一土层场地的动力响应。最后作为动力刚度矩阵的另一重要应用,给出了表面或埋置矩形均布荷载或集中荷载的动力格林函数计算方法。
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| 关 键 词： | 三维层状场地 土层 半空间 动力刚度矩阵 矩形均布荷载 集中荷载 动力格林函数 |
| 文章编号： | 1000-1301（2007）05-0007-11 |
| 修稿时间： | 2007-05-202007-08-15 |
Exact dynamic stiffness matrices of 3 -D layered site and its Green's functions |
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| LIANG Jianwen,BA Zhenning.Exact dynamic stiffness matrices of 3 -D layered site and its Green''''s functions[J].Earthquake Engineering and Engineering Vibration,2007,27(5):7-17. |
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| Authors: | LIANG Jianwen BA Zhenning |
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| Institution: | Tianjin University, Tianjin 300072, China |
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| Abstract: | The exact dynamic stiffness matrices of 3-D layered site are derived by the extension of Wolf's exact dynamic stiffness matrices of 2-D layered site.The dynamic stiffness matrices are symmetric and exact,which may greatly increase its efficiency in applications.The dynamic stiffness matrices are verified by some examples of application.The dynamic response of a single layer over half-space is calculated by using the stiffness matrices.As the second important application,the Green's functions for rectangular uniformly distributed loads or concentrated loads acting on the surface or the inside of a 3-D layered site are presented. |
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| Keywords: | 3-D layered site soil layer half-space dynamic stiffness matrix rectangular uniformly distributed load concentrated load dynamic Green's function |
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