| 纵向剪切波作用下长型地下结构与Pasternak地基相互作用研究 |
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| 引用本文： | 徐琛,戚承志,陈昊祥,李博宁.纵向剪切波作用下长型地下结构与Pasternak地基相互作用研究[J].北京建筑工程学院学报,2015(1):12-16,24. |
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| 作者姓名： | 徐琛 戚承志 陈昊祥 李博宁 |
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| 作者单位： | 1. 北京建筑大学 土木与交通工程学院 工程结构与新材料北京市高校工程研究中心,北京,100044;2. 北京城建设计发展集团股份有限公司,北京,100037 |
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| 基金项目： | 国家自然科学基金资助项目，北京市属高等学校创新团队建设与教师职业发展计划项目，国家重点基础研究发展计划973项目 |
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| 摘 要： | 为了研究在剪切波沿地下长型结构纵向传播情况下,惯性力对于结构与地基动力相互作用的影响,采用Pasternak地基模型,分别建立长型地下结构静力平衡方程、自由振动方程和强迫振动方程.通过振型叠加法将偏微分方程简化为常微分方程,利用微分算子法分别求得静力平衡方程、自由振动方程和强迫振动方程的解析解.通过算例计算,考虑地基土硬度对于地基基床系数k0、剪切波速vs、泊松比υ、地基土剪切模量G0的影响,比较并分析静力平衡方程解与强迫振动方程解的差别,得出当地基土硬度较大的情况下惯性力影响较小的结论.
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| 关 键 词： | 惯性力 强迫振动方程 Pasternak地基模型 地基基床系数k0 剪切模量G0 |
Research on Dynamic Soil-Long-Underground-Structure Interaction Under the Action of Shear Wave Propagates Along Axial Direction of Structure Based on Pasternak Foundation |
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| Xu Chen,Qi Chengzhi,Chen Haoxiang,Li Boning.Research on Dynamic Soil-Long-Underground-Structure Interaction Under the Action of Shear Wave Propagates Along Axial Direction of Structure Based on Pasternak Foundation[J].Journal of Beijing Institute of Civil Engineering and Architecture,2015(1):12-16,24. |
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| Authors: | Xu Chen Qi Chengzhi Chen Haoxiang Li Boning |
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| Affiliation: | Xu Chen;Qi Chengzhi;Chen Haoxiang;Li Boning;School of Civil and Traffic Engineering,Beijing Higher Institute Engineering Research Center of Structure and New Materials,Beijing University of Civil Engineering and Architecture;Beijing Urban Construction Design & Development Group Co.; |
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| Abstract: | To study the influence of inertia force on dynamic interaction between underground structure and soil when shear wave propagates along axial direction of long underground structure, static equilibrium equation, free vibration motion equation and forced vibration motion equation are developed based on Pasternak foundation model. By applying mode superposition method the partial differential equation is converted into ordinary differential equation. These equations are solved analytically based on differential operator method. For evaluating the influence of foundation soil rigidity on foundation bed coefficient k0 , shear wave velocity vs , Poisson ratio ν, foundation soil shear modulus G0 , numerical example is given and the solutions for static equilibrium equation and forced vibration equation are compared. Comparison shows that the influence of inertial force on forced vibration of structure is relatively small when foundation soil rigidity is relatively high. |
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| Keywords: | inertial force forced vibration motion equation Pasternak foundation model foundation bed coefficient k0 shear modulus G0 |
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