摘要
针对具有集中分布参数柔性节点的多节电瓷型高压电气设备支架串联体系,通过应用分布参数梁振动理论与集中参数通过边界条件的引入,推导出其频率方程,然后通过数值方法求得频率及振型。通过应用Betti定律,推导出具有集中分布参数柔性节点的多节电瓷型高压电气设备支架串联体系振型的正交条件,应用此正交条件对集中参数与分布参数的振动方程解耦,从而得到广义质量及广义荷载,然后通过振型叠加法求解结构的地震响应。最后应用该半解析法与有限元法数值积分法对一330 KV电压互感器支架串联体系地震响应进行分析,分析结果表明,该半解析法求解的地震响应与有限元直接积分法求解的地震响应相一致,从而为具有集中分布参数柔性节点的多节电瓷型高压电气设备支架串联体系的地震响应分析和抗震设计提供了一种新的途径。
Aiming at to serial system of the supporter and over head electrical equipment with the flexible nodes and electric porcelains, the dynamic analysis model of this serial system is proposed. The frequen- cy equation of this serial isolated system is derived bY the vibration theory of beam with distributed pa- rameters and introducing the boundary conditions of concentrated parameters, then frequencies and mode shapes can be obtained by the numerical method. According to the Betti law, the orthogonal conditions of modes of this serial system are derived. Then using these orthogonal conditions vibration equa- tion of this serial system is decoupled and obtain the generalized mass and stiffness. Therefore the responses of this serial system with the concentrated, distributed parameters and flexible nodes under earthquake can be solved by the mode superposition method. In order to validate the correctness of this semi-analytical method, the responses of the 330KV voltage transformer under earthquake are solved by the semi-analytical method and numerical integration method of FEM, the responses of serial system obtained by two methods are basically consistent, which indicates the correctness of this semi-analytical method to solve the response of serial isolated system under earthquake.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2010年第2期225-231,共7页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金(50778087)
兰州市科技攻关项目(2005-2-20-2)
中美地震合作基金(C07-FJ32-04)资助项目
关键词
高压电气设备
柔性节点
串联体系
振型叠加法
地震响应
high-voltage electrical equipment, flexible node, serial system, mode superposition method,seismic response
