| 上覆单相弹性层的饱和地基上刚性圆板的扭转振动分析 |
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| 引用本文： | 王国才,陈龙珠,陈胜立.上覆单相弹性层的饱和地基上刚性圆板的扭转振动分析[J].固体力学学报,2003,24(1):24-30. |
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| 作者姓名： | 王国才 陈龙珠 陈胜立 |
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| 作者单位： | 1. 浙江大学建筑工程学院,杭州,310027;上海交通大学建筑工程与力学学院,上海,200030
2. 上海交通大学建筑工程与力学学院,上海,200030 |
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| 基金项目： | 国家自然科学基金 (50 0 790 2 7)资助 |
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| 摘 要： | 采用解析的方法研究了上覆单相弹层的饱和地基上刚性圆板的扭转振动。首先运用积分变换技术分别求解了单相弹性介质和饱和介质情况时的控制方程，然后按混合边值条件建立了上覆单相弹性层的饱和地基上刚性圆板扭转振动的对偶积分方程，并把对偶积分方程化为易于数值求解的第二类Fredholm积分方程，并给出了数值算例。
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| 关 键 词： | 上覆单相弹性层 饱和地基 刚性圆板 扭转振动 混合边值条件 积分变换 动力柔度系数 扭转角幅值 |
| 修稿时间： | 2001年4月17日 |
TORSIONAL VIBRATIONS OF A RIGID DISK RESTING ON SATURATED MEDIUM WITH AN ELASTIC SUPERSTRATUM |
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| Wang Guocai , Chen Longzhu Chen Shengli.TORSIONAL VIBRATIONS OF A RIGID DISK RESTING ON SATURATED MEDIUM WITH AN ELASTIC SUPERSTRATUM[J].Acta Mechnica Solida Sinica,2003,24(1):24-30. |
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| Authors: | Wang Guocai Chen Longzhu Chen Shengli |
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| Institution: | Wang Guocai 1,2 Chen Longzhu2 Chen Shengli2 |
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| Abstract: | Torsional vibrations of a rigid disk resting on saturated medium with an elastic superstratum are studied by analytical methods. First the governing equations of elastic and saturated medium are solved by integral transform methods. Then according to the mixed boundary-value conditions, the dual integral equations of torsional vibrations of a rigid disk resting on saturated medium with an elastic superstratum are established, which are reduced to Fredholm integral equation of the second kind. Numerical examples are given at the end of the paper. |
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| Keywords: | torsional vibration mixed boundary-value conditions integral transform dynamic compliance coefficient amplitude of torsional angle |
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