| TORSIONAL VIBRATIONS OF A RIGID CIRCULAR PLATE ON SATURATED STRATUM OVERLAYING BEDROCK |
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| 引用本文： | CaiYuanqiang WuDazhi XuChangjie. TORSIONAL VIBRATIONS OF A RIGID CIRCULAR PLATE ON SATURATED STRATUM OVERLAYING BEDROCK[J]. Acta Mechanica Solida Sinica, 2005, 18(2): 142-149 |
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| 作者姓名： | CaiYuanqiang WuDazhi XuChangjie |
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| 作者单位： | DepartmentofCivilEngineering,ZhejiangUniversity,Hangzhou310027,China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No. 50478081). |
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| 摘 要： | The torsional vibration of a rigid plate resting on saturated stratum overlaying bedrock has been analysed for the first time. The dynamic governing differential equations for saturated poroelastic medium are solved by employing the technology of Hankel transform. By taking into account the boundary conditions, the dual integral equations of torsional vibration of a rigid circular plate are established, which are further converted into a Fredholm integral equation of the second kind. Subsequently, the dynamic compliance coefficients of the foundation on saturated stratum, the contact shear stress under the foundation and the angular amplitude of the foundation are evaluated. Numerical results indicate that, when the dimensionless height is bigger than 5, saturated stratum overlaying bedrock can be treated as saturated half space approximately. When the dimensionless frequency is low, the permeability of the soil must be taken into account. Furthermore, when the vibration frequency is a constant, the height of the saturated stratum has a slight effect on the dimensionless contact shear stress under the foundation.
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| 关 键 词： | 饱和地层 岩床覆盖 转矩变化 力学顺度系数 接触剪切应力 |
TORSIONAL VIBRATIONS OF A RIGID CIRCULAR PLATE ON SATURATED STRATUM OVERLAYING BEDROCK |
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| Cai Yuanqiang Wu Dazhi Xu Changjie. TORSIONAL VIBRATIONS OF A RIGID CIRCULAR PLATE ON SATURATED STRATUM OVERLAYING BEDROCK[J]. Acta Mechanica Solida Sinica, 2005, 18(2): 142-149 |
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| Authors: | Cai Yuanqiang Wu Dazhi Xu Changjie |
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| Abstract: | The torsional vibration of a rigid plate resting on saturated stratum overlaying bedrock has been analysed for the first time. The dynamic governing differential equations for saturated poroelastic medium are solved by employing the technology of Hankel transform. By taking into account the boundary conditions, the dual integral equations of torsional vibration of a rigid circular plate are established, which are further converted into a Fredholm integral equation of the second kind. Subsequently, the dynamic compliance coefficients of the foundation on saturated stratum, the contact shear stress under the foundation and the angular amplitude of the foundation are evaluated. Numerical results indicate that, when the dimensionless height is bigger than 5, saturated stratum overlaying bedrock can be treated as saturated half space approximately. When the dimensionless frequency is low, the permeability of the soil must be taken into account. Furthermore, when the vibration frequency is a constant, the height of the saturated stratum has a slight effect on the dimensionless contact shear stress under the foundation. |
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| Keywords: | saturated stratum overlaying bedrock torsional vibration rigid circular plate dynamical compliance coefficients contact shear stress |
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