【摘要】 用解析的方法首次研究了层状饱和地基上刚性圆板的扭转振动特性。运用 Hankel 变换求解饱和介质动力问题的控制方程,按混合边值条件建立了层状饱和地基上刚性圆板扭转振动的第二类 Fredholm 积分方程。数值算例给出了动力柔度系数和扭转角幅值随无量纲频率的变化曲线,与单相弹性及匀质饱和介质情况进行了对比分析,并进行了参数研究。更多还原

【Abstract】 Characteristics of torsional vibrations of a rigid disc resting on layered saturated poroelastic ground are studied by analytical method for the first time. First, the dynamic governing equations for saturated poroelastic media are solved by means of Hankel transform. Then, according to the mixed boundary-value conditions, the Fredholm integral equation of the second kind, which governs the torsional vibrations of a rigid disc resting on layered saturated ground, is established. At the end of the paper, the dynamic compliance coefficient and torsional angle amplitude curves versus the dimensionless frequency a1 are presented. The results are contrasted and parameterized with those of elastic and isotropic saturated half space.更多还原