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以粘弹圆板作板状柔性基础的力学模型。首先建立隔振系统的运动微分方程组，通过微分方程和边界条件的拉氏变换，导出原始隔振系统的传递函数和振动传递率。然后利用三项简化原则导出等效离散系统力学参数的解析式。数值计算结果表明，基础激励频率接近圆板的主频率发生共振时，可用两级离散隔振系统作为原始混合力学系统的等效模型。在有实用价值的参数范围内，此种算法能满足工程设计计算的要求。
The mechanical model of viscoelastic circular plate as plate-like flexible foundation. First, the system of differential equations of motion is established, and the transfer function and vibration transmissibility of the original vibration isolation system are derived through the differential equations and the Laplace transformation of the boundary conditions. Then, the analytical formulas of mechanical parameters of equivalent discrete systems are derived by using three simplified principles. The numerical results show that the two-stage discrete vibration isolation system can be used as the equivalent model of the original hybrid system when the fundamental excitation frequency is close to the main frequency of the circular plate. In the practical range of parameters, this algorithm can meet the engineering design requirements.