圆板基础上隔振参数的简便算法

Simple algorithm of vibration isolator parameters on circular plate

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 visco elastic circular plate is taken as the mechanical model of flexible foundation with circular platewise. First, the differential equations of motion of vibration system are established. By using Laplace transform of differential equations and boundary conditions, the transfer function and vibration transmissibility of the primary vibration isolation system are deduced. Then, three simplification principles are used to drive formulas for calculating the mechanical parameters of the equivalent discrete system. The numerical results show that the discrete vibration system with two stage isolation can be used as an equivalent model of hybrid mechanical system when the driving frequency of foundation approaches to one of the natural frequencies of circular plate, and vibration isolator parameters obtained from the equivalent discrete system is useful for the engineering design in a wide parameter domain.