| 考虑耦合质量影响的均布突加荷载作用下衬砌结构的瞬态响应 |
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| 引用本文： | 高盟,高广运,李大勇.考虑耦合质量影响的均布突加荷载作用下衬砌结构的瞬态响应[J].岩土工程学报,2011,33(6):862. |
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| 作者姓名： | 高盟 高广运 李大勇 |
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| 作者单位： | 1. 山东科技大学土木建筑学院，山东 青岛 266510；2. 山东省土木工程防灾减灾重点实验室，山东 青岛 266510 |
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| 基金项目： | 国家自然科学基金项目(50878155,51078227); 高等学校博士学科点专项基金项目(201037181200005) |
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| 摘 要： | 考虑耦合质量项的影响，对饱和地基中圆柱形衬砌结构的瞬态响应问题进行了研究。基于Biot波动理论，将饱和土体和衬砌结构分别视为流固耦合两相介质和弹性均匀介质，对波动方程进行Laplace变换和变量分离，求得了饱和地基中均布突加荷载作用下，衬砌结构的动力响应解答。利用土体与衬砌结构之间的连续性条件和衬砌结构内边界上的边界条件，确定表达式的未知系数。采用Laplace逆变换的数值积分法，给出相应的数值解，分析了饱和土参数、衬砌结构参数对衬砌结构的动力响应的影响。文中还分析了耦合质量对衬砌结构动力响应的影响。
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| 关 键 词： | 饱和土 耦合质量 衬砌结构瞬态响应 拉普拉斯变换 逆拉普拉斯变换 |
Transient response of lining structure subjected to sudden internal uniform loading considering effects of coupling mass |
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| GAO Meng,GAO Guang-yun,LI Da-yong.Transient response of lining structure subjected to sudden internal uniform loading considering effects of coupling mass[J].Chinese Journal of Geotechnical Engineering,2011,33(6):862. |
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| Authors: | GAO Meng GAO Guang-yun LI Da-yong |
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| Affiliation: | 1. Institute of Civil Engineering and Architecture, Shandong University of Science and Technology, Qingdao 266510, China; 2. Shandong Province Key Laboratory of Civil Engineering & Disaster Prevention and Mitigation, Qingdao 266510, China; 3. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Shanghai 200092, China; 4. College of Civil Engineering, Tongji University, Shanghai 200092, China; |
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| Abstract: | Considering the effects of coupling mass,the transient dynamic response of a cylindrical lining structure subjected to sudden internal uniform loading is studied.Based on the Biot's dynamic theory,the lining structure and saturated soils are respectively treated as the fluid-solid coupling medium and the homogeneous elastic one.A solution to the dynamic response of the lining structure in saturated soils is obtained by means of the Laplace transform and the method of the separation of variables.By utilizing... |
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| Keywords: | saturated soil coupling mass transient response of lining structure Laplace transform inverse Laplace transform |
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