串联电气设备支架隔震体系地震响应半解析法  

SEMI-ANALYTICAL SOLUTION OF SEISMIC RESPONSE OF SERIALLY ISOLATED EQUIPMENT AND SUPPORTER

作　　者：杜永峰[1] 刘彦辉[1] 李慧[1] 

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

出　　处：《力学学报》2009年第3期440-448,共9页Chinese Journal of Theoretical and Applied 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);中美地震合作基金(C07-FJ32-04)资助.~~

摘　　要：通过并联橡胶隔震支座,建立串联高架电气设备支架隔震体系及力学模型,应用分布参数梁振动理论,通过边界条件引入集中参数,推导其频率方程,并用数值方法求得频率及振型.应用Betti定律,推导具有集中分布参数柔性节点的多节电瓷型高压电气设备的正交条件,得到广义质量及广义载荷.将该串联隔震体系的非比例阻尼分解为比例阻尼部分和非比例阻尼部分,应用Hamilton原理推导出非比例阻尼部分等效振型阻尼比,实现串联电气设备支架隔震体系振动方程的解耦,然后通过振型叠加法求得结构的地震响应.最后应用该半解析法与有限元数值积分法对一330kV电压互感器地震响应进行分析.结果表明:该隔震体系能显著减小电气设备的地震响应,同时该半解析法求解的地震响应与有限元数值积分求解的结果相一致,说明该隔震体系的有效性与该半解析方法求解非比例阻尼串联电气设备支架隔震体系地震响应的正确性.Serially isolated system of electrical equipment and supporter is presented by in-parallel laminated rubber support and the mechanical model of this system is developed. Based on the vibration theory of beam with distributed parameters and the boundary conditions of concentrated parameters, the frequency equation of this serially isolated system is derived, and the frequencies and mode shapes are obtained by the numerical method. According to the Betti law, the orthogonal conditions of modes of this serially isolated system with concentrated and distributed parameters are deduced and the generalized mass and stiffness can be obtained. By decomposing the non-proportional damping of serially isolated system to the parts of proportional damping and non-proportional damping, the damping ratio of the non-proportional damping in the equivalent mode is derived by Hamilton principle. Therefore the vibration equation of the non-proportional damping of the isolated system is decoupled, and the responses of structure under earthquake excitation can be solved by the mode superposition method. A seismic response case of the 330kV voltage transformer is analyzed by the semi-analytical solution and numerical integration solution of FEM, suggesting that the serially isolated system has an obvious function of shock absorption. In addition, the system responses obtained with the two methods are basically consistent to indicate the effectiveness of this serially isolated system and the correctness of this semi-analytical solution.

关 键 词：高架电气设备 柔性节点 隔震 非比例阻尼 振型叠加法 

分 类 号：TU352.12[建筑科学—结构工程]