基于接地弹簧及配点法的系统动态特性分析

核电设备和部件的动态特性包括其固有频率和相应模态。对于动态特性受支承条件影响的核电设备，将之简化为带接地弹簧的质量一弹簧系统．并分析接地弹簧刚度的变化对该系统动态特性的影响。在此基础上，从带罚数的有限元配点法出发，推导接地弹簧的有限元等价形式，证明接地弹簧刚度与罚数的等价性，并由此等价性，阐明支承条件在施加设备边界条件过程中所起的作用。

Analysis of Dynamic Characteristics of Systems Based on Ground Springs and Point Collocation Method

The dynamic characteristics include natural frequencies and mode shapes, for nuclear power equipments and components, they are affected by their supporting conditions. These equipments and components are often modeled as simplified mass-spring systems with ground springs. Analyzes the effects of the stiffness of ground springs on the dynamic characteristics of the corresponding system. The dynamic characteristics vary significantly with the stiffness of the ground springs. The equivalent finite element form of the ground springs is derived using the point collocation method with penalty coeffcients. The variations of dynamic characteristics as a function of ground springs, as well as the equivalence of the penalty coefficients to the ground springs, demonstrate the effects of supporting conditions on the dynamic characteristics of the equipments and components.