| 矩形移动荷载作用下路面-双层地基系统三维振动分析 |
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| 引用本文： | 卢正,姚海林,骆行文,胡梦玲.矩形移动荷载作用下路面-双层地基系统三维振动分析[J].岩土力学,2009,30(11):3493-3499. |
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| 作者姓名： | 卢正 姚海林 骆行文 胡梦玲 |
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| 作者单位： | 中国科学院武汉岩土力学研究所,岩土力学与工程国家重点实验室,武汉,430071 |
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| 基金项目： | 岩土力学与工程国家重点实验室前沿探索性项目，中科院知识创新工程重要方向项目，中科院知识创新工程青年人才领域前沿项目 |
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| 摘 要： | 考虑路面和地基之间的相互作用，建立了路面-双层地基的三维模型，将车辆荷载模拟成矩形移动荷载，利用Fourier变换方法对车辆荷载作用下路面-双层地基系统的三维振动问题进行了研究。假设地基为上部弹性土体和下部为饱和土体组成的双层混合结构，整个系统置于刚性基岩上。通过引入势函数，利用Lame分解理论和积分变换方法分别对弹性土层和饱和土层进行求解。在Fourier变换域内，联立路面和下卧双层地基系统的的运动方程，获得了车辆荷载作用下路面-双层地基系统三维振动的位移和孔压响应的积分形式解，并利用IFFT算法和自适应数值积分算法得到了数值计算结果。研究结果可为路基动力响应分析提供参考。
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| 关 键 词： | Fourier变换 矩形荷载 路面-双层地基系统 三维振动 |
| 收稿时间： | 2009-07-04 |
3D vibration of pavement and double-layered subgrade coupled system subjected to a rectangular moving load |
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| LU Zheng,YAO Hai-lin,LUO Xing-wen,HU Meng-ling.3D vibration of pavement and double-layered subgrade coupled system subjected to a rectangular moving load[J].Rock and Soil Mechanics,2009,30(11):3493-3499. |
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| Authors: | LU Zheng YAO Hai-lin LUO Xing-wen HU Meng-ling |
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| Institution: | State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China |
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| Abstract: | The three dimensional vibration of pavement and double-layered subgrade coupled system subjected to a rectangular moving load are investigated analytically. The pavement-subgrade interaction is considered, and the subgrade is divided into an elastic single-phase layer and a saturated soil layer with the underground water level as their border. By employing Lame decomposition theorem of displacement field and potential functions, the governing equations of the system are solved in the transformed field domains of moving space. Considering the mixed boundary condition at the upper surface, the fixed boundary condition at the lowest surface and that the stress and displacement at the interface of the layers are continuous, analytical solutions of vertical displacement and pore pressure in the form of integral are derived using the Fourier transform and the inverse Fourier transform. Numerical results are obtained by using IFFT algorithm and adaptive quadrature algorithm. Reference is made for analyzing dynamic responses of subgrades. |
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| Keywords: | Fourier transform rectangular load pavement and double-layered subgrade coupled system 3D vibration |
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