| 层状地基中基于Laplace变换的桩基横向振动阻抗计算 |
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| 引用本文： | 熊辉,江雅丰,禹荣霞.层状地基中基于Laplace变换的桩基横向振动阻抗计算[J].岩土力学,2018,39(5):1901-1907. |
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| 作者姓名： | 熊辉 江雅丰 禹荣霞 |
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| 作者单位： | 湖南大学 土木工程学院，湖南 长沙 410082 |
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| 基金项目： | 教育部新世纪优秀人才支持计划项目（No. NCET?13?190）；湖南省科技计划项目（No. 2013FJ4214）。 |
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| 摘 要： | 基于Laplace变换，对层状地基中桩土横向振动阻抗计算问题进行了研究。考虑土层天然分层的特性及桩顶轴向力的参与作用，结合频域内桩-土动力文克尔理论，采用传递矩阵法并通过拉普拉斯变换，将振动微分方程变成代数方程以求解桩的横向振动响应参数，并导出了单桩横向振动阻抗。基于所得解，进一步计算出桩-土-桩水平动力相互作用因子。通过实例分析对比，验证其有效性和可行性。该方法计算工作量小，易于理解，计算结果与已有结果具有良好的一致性，并能保证解的连续性，对桩-土动力相互作用的研究具有一定的实用意义。
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| 关 键 词： | 层状地基 传递矩阵法 Laplace变换 桩-土相互作用 横向振动阻抗 |
| 收稿时间： | 2016-06-20 |
Lateral vibration impedance of piles embedded in layered soil based on Laplace transform |
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| XIONG Hui,JIANG Ya-feng,YU Rong-xia.Lateral vibration impedance of piles embedded in layered soil based on Laplace transform[J].Rock and Soil Mechanics,2018,39(5):1901-1907. |
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| Authors: | XIONG Hui JIANG Ya-feng YU Rong-xia |
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| Institution: | Department of Civil Engineering, Hunan University, Changsha, Hunan 410082, China |
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| Abstract: | Using Laplace transform, the calculation on lateral vibration impedance of pile-soil interaction embedded in layered soil is investigated. Vibration differential equation of pile-head in layered-soil with axial loading is transformed into algebraic equations by means of transfer matrix method and Laplace transform to solve the parameters of piles for the lateral vibration response. Combined with dynamic Winkler model in the frequency domain, the lateral vibration impedance of a pile is derived. Based on the obtained solution, the pile-soil-pile lateral dynamic interaction factors is deduced. Through theoretical analyses of practical problems, the present method is verified to be applicable and efficient. The method is simple to use, and the calculated results agree well with the existing results. Moreover, the present method can give a continuous solution and applied to the analysis of pile-soil interaction. |
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| Keywords: | layered soil transfer matrix method Laplace transform pile-soil interaction lateral vibration impedance |
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