瑞利法在耦合系统振动固有频率计算中的应用

以由堆芯吊篮和反应堆压力容器组成的耦合振动系统的扭转振动问题为例，介绍瑞利法求解耦合振动系统固有频率的基本步骤，并利用瑞利法求解该系统的一阶固有频率；通过与精确解的比较，说明瑞利法求解结果的基本性质，分析假设振型对该结果的影响，说明瑞利法可作为初步分析方法，用于核电设备耦合振动系统固有频率的估算。

Applications of the Rayleigh Method in Computing Vibratory Natural Frequencies of Coupled Systems

For studying the torsional vibration of a coupled system composed of a core barrel and a reactor pressure vessel, the basic procedures of the Rayleigh method are presented for computing natural frequencies of templed systems. The first-order natural frequeney is calculated for such a core barrel-reactor pressure vessel system. Compared with the accurate solution, the basic attributes of resuhs from the Rayleigh method are illustrated. Effects of the postulated modes on the computational results are evaluated. As a preliminary estimation approach, tile Rayleigh method is applicable for calculating natural frequencies of nuclear power coupled vibration systems.