| TORSIONAL VIBRATIONS OF RIGID CIRCULAR PLATE ON TRANSVERSELY ISOTROPIC SATURATED SOIL |
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| 作者姓名： | 吴大志 蔡袁强 徐长节 占宏 |
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| 作者单位： | Department of Civil Engineering Zhejiang University，Hangzhou 310027，P. R. China Department of Civil Engineering，Zhejiang Sci-Tech University，Hangzhou 310018，P. R. China，Department of Civil Engineering，Zhejiang University，Hangzhou 310027，P. R. China，Department of Civil Engineering，Zhejiang University，Hangzhou 310027，P. R. China，Department of Civil Engineering，Zhejiang University，Hangzhou 310027，P. R. China |
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| 摘 要： | An analytical method was presented for the torsional vibrations of a rigid disk resting on transversely isotropic saturated soil. By Hankel transform, the dynamic governing differential equations for transversely isotropic saturated poroelastic medium were solved. Considering the mixed boundary-value conditions, the dual integral equations of torsional vibrations of a rigid circular plate resting on transversely isotropic saturated soil were established. By appropriate transform, the dual integral equations were converted into a Fredholm integral equation of the second kind. Subsequently, the dynamic compliance coefficient, the torsional angular amplitude of the foundation and the contact shear stress were expressed explicitly. Selected examples were presented to analyse the influence of saturated soil's anisotropy on the foundation's vibrations.
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| 关 键 词： | 横断等方性渗透土壤 扭转振动 刚性循环平板 动态刚度系数 接触剪切应力 |
| 收稿时间： | 2004-11-16 |
| 修稿时间： | 2006-06-20 |
Torsional vibrations of rigid circular plate on transversely isotropic saturated soil |
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| Da-zhi Wu,Yuan-qiang Cai,Chang-jie Xu,Hong Zhan.TORSIONAL VIBRATIONS OF RIGID CIRCULAR PLATE ON TRANSVERSELY ISOTROPIC SATURATED SOIL[J].Applied Mathematics and Mechanics(English Edition),2006,27(11):1541-1548. |
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| Authors: | Da-zhi Wu Yuan-qiang Cai Chang-jie Xu Hong Zhan |
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| Institution: | 1. Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China;Department of Civil Engineering, Zhejiang Sci-Tech University,Hangzhou 310018, P. R. China
2. Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China |
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| Abstract: | An analytical method was presented for the torsional vibrations of a rigid disk resting on transversely isotropic saturated soil. By Hankel transform, the dynamic governing differential equations for transversely isotropic saturated poroelastic medium were solved. Considering the mixed boundary-value conditions, the dual integral equations of torsional vibrations of a rigid circular plate resting on transversely isotropic saturated soil were established. By appropriate transform, the dual integral equations were converted into a Fredholm integral equation of the second kind. Subsequently, the dynamic compliance coefficient, the torsional angular amplitude of the foundation and the contact shear stress were expressed explicitly. Selected examples were presented to analyse the influence of saturated soil's anisotropy on the foundation's vibrations. |
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| Keywords: | transversely isotropic saturated soil torsional vibration rigid circular plate dynamical compliance coefficient contact shear stress |
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