| 计入岩土介质无限空间效应的地下结构自振特性计算公式 |
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| 引用本文： | 曹志远,吴钊.计入岩土介质无限空间效应的地下结构自振特性计算公式[J].地下空间与工程学报,2003,23(4):375-379. |
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| 作者姓名： | 曹志远 吴钊 |
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| 作者单位： | 同济大学工程力学与技术系、固定力学教育部重点实验室,上海,200092 |
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| 基金项目： | 2 1 1工程重点建设项目 |
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| 摘 要： | 本文采用理论分析与数值计算相结合方法 ,建立了一套计入无限岩土介质刚度与质量效应的任意断面柱形地下结构自振频率的解析公式。文中理论分析应用具有分布附加质量与分布附加刚度的柱形弹性体的弯曲、轴向、扩展、环向、扭转振动解析解 ;数值计算采用半解析无限元法 ,用算得的自振特性结果确定分布附加质量与刚度。因此该公式具有既模拟无限岩土介质空间 ,又表达为可供工程直接应用简便显示的特点
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| 关 键 词： | 自振频率 地下结构 无限介质效应 解析公式 |
| 文章编号： | 1001-831X(2003)04-0375-05 |
| 修稿时间： | 2003年7月12日 |
Natural Frequency Formulas for Underground Structures with Consideration of Infinite Space Effect of Rock Medium |
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| CAO Zhi,yuan et al..Natural Frequency Formulas for Underground Structures with Consideration of Infinite Space Effect of Rock Medium[J].Chinese Journal of Underground Space and Engineering,2003,23(4):375-379. |
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| Authors: | CAO Zhi yuan |
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| Affiliation: | CAO Zhi yuan et al. |
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| Abstract: | In this paper, a set of natural frequency formulas of columnar underground structures with arbitrary cross section including the stiffness and mass effects of infinite medium are presented by combination of theoretical analysis and numerical computation. Analytical solutions of buckling, axial, expanding, round and torsion vibration in elastic columnar body with distributed additional stiffness and mass are used in the theoretical analysis. The distributed additional stiffness and mass are estimated by the result of self vibration calculation; therefore, the formulas not only simulate the infinite medium, but can be applied to engineering directly and conveniently. |
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| Keywords: | natural frequency underground structure infinite medium effect analytical formula |
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