| 横观各向同性饱和地基上无限板的稳态振动 |
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| 引用本文： | 王小岗.横观各向同性饱和地基上无限板的稳态振动[J].力学与实践,2007,29(1):42-45. |
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| 作者姓名： | 王小岗 |
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| 作者单位： | 浙江大学建筑工程学院， 浙江杭州 310027 |
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| 摘 要： | 研究了横观各向同性饱和土地基上无限板的稳态振动问题. 基于直角坐标系下横观各向同性饱和介质Biot波动方程的一般解，采用双重Fourier积分变换技术，建立了饱和地基与无限矩形板相互作用的动力方程，利用数值方法求解该方程，得到任意谐振荷载作用下饱和半空间体上无限板稳态响应的一般解. 数值结果表明，横观各向同性饱和地基上无限板的振动与各向同性饱和地基上的无限板的振动特性存在明显差异.
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| 关 键 词： | 横观各向同性 饱和土 Biot波动方程 无限板 |
| 收稿时间： | 2006-2-17 |
| 修稿时间： | 2006-02-172006-05-12 |
THE HARMONIC VIBRATION OF INFINITE PLATE ON TRANSVERSELY ISOTROPIC SATURATED SOIL GROUND |
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| WANG Xiaogang.THE HARMONIC VIBRATION OF INFINITE PLATE ON TRANSVERSELY ISOTROPIC SATURATED SOIL GROUND[J].Mechanics and Engineering,2007,29(1):42-45. |
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| Authors: | WANG Xiaogang |
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| Institution: | Department of Civil Engineering and Architecture, Taizhou University, Linhai 317000; School of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | This paper studies the dynamic response of an infinite rectangular plate on transversely isotropie saturated soil ground under a harmonic excitation.Based on the general solutions of the 3-d wave motion equations in rectangular coordinates for transversely isotropic saturated soil media presented by the author,the equation for dynamic interaction between the saturated soils and plate is established and solved by using the technique of double Fourier transform.Integral solutions of displacements for the plate excited by a harmonic source are presented.The calculation results indicate an obvious difference of the vibration properties of the infinite plate based on the model of isotropic saturated soils and that based on the transversely isotropic saturated soils. |
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| Keywords: | transversely isotropic saturated soils Biot's wave equations infinite plate |
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