带分布参数高压电气设备地震响应半解析法  

SEISMIC RESPONSE OF HIGH-VOLTAGE EQUIPMENTS BASED ON SEMI-ANALYTICAL METHOD

作　　者：杜永峰[1,2] 刘彦辉[2] 李慧[1,2] 

机构地区：[1]西部土木工程防灾减灾教育部工程研究中心,甘肃兰州730050 [2]兰州理工大学防震减灾研究所,甘肃兰州730050

出　　处：《工程力学》2009年第3期182-188,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(50778087);兰州市科技攻关项目(2005-2-20-2)

摘　　要：针对具有集中分布参数柔性节点的单节电瓷型高压电气设备,通过分布参数梁振动理论与集中参数边界条件的引入,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单节电瓷型高压电气设备的振型正交条件,应用此正交条件对集中参数与分布参数的振动方程解耦,推导出该集中分布参数体系的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对一550kV金属氧化物避雷器地震响应进行分析,分析结果表明:该半解析法与有限元法计算结果相一致,说明该方法的正确性,从而为具有集中分布参数柔性节点的单节电瓷型高压电气设备的地震响应分析和抗震设计提供了一种新的途径。For the flexible-node electric porcelain high-voltage equipments with concentrated and distributed parameters, the frequency equation is presented by the vibration theory of beam with distributed parameters. Introducing the boundary conditions of concentrated parameters, the frequencies and mode shapes can be obtained by the numerical method. According to the Betti law, the orthogonal conditions of modes of high-voltage equipment with concentrated and distributed parameters are derived. These orthogonal conditions can be used to decouple vibration equation of concentrated and distributed parameters, thus to obtain the generalized mass and stiffness. Therefore the responses of structure under earthquake excitation can be solved by the mode superposition method. In order to validate the correctness of this semi-analytical method, the responses of the 550kV metal oxide lightning arrester under earthquake excitation are solved by the semi-analytical method and finite element method. Result comparison shows the responses obtained by two methods are basically consistent, which indicates the correctness of this semi-analytical method. Therefore one new way is provided for seismic response analysis and seismic design of the flexible-node electric porcelain high-voltage equipments with concentrated and distributed parameters.

关 键 词：半解析法 地震响应 高压电气设备 柔性节点 振型叠加法 

分 类 号：TU352.11[建筑科学—结构工程]