基于Biot动力方程,研究了饱和均质弹性半空间上弹性条形基础的摇摆振动问题。通过Fourier积分变换求解了饱和土的动力控制方程,然后结合基础底部为混合边界的条件得到了弹性条形基础的摇摆振动对偶积分方程,利用正交多项式将对偶积分方程转化为求解一组线性代数方程组,同时利用复合Simpson法则,得到了动力柔度系数的表达式,通过算例得出了不同参数时地基动力柔度系数随无量纲频率的关系曲线。 Based on the Biot dynamic equations, the oscillation problem of elastic strip foundation in saturated homogeneous elastic half-space is studied. The governing equations of saturated soil are solved by Fourier integral transform, and then the dual integral equation of the oscillating vibration of the elastic strip foundation is obtained by combining the conditions of the bottom of the foundation with the mixed boundary. The orthogonal integral polynomial is transformed into solving a set of linear algebra Equations, and using the composite Simpson’s law, the expression of dynamic compliance coefficient is obtained. The curves of dynamic compliance coefficient with dimensionless frequency for different parameters are obtained.