带分布参数高压电气设备地震响应半解析法
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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.
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.
引文
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[2]GB50260-96,电力抗震设计规范[S].北京:中国计划出版社,1996.GB50260-96,Code for design of seismic of electrical installations[S].Beijing:China Planning Press,1996.(in Chinese)
[3]李亚琦,李小军,刘锡荟.电力系统抗震研究概况[J].世界地震工程,2002,18(4):79―84.Li Yaqi,Li Xiaojun,Liu Xihui.A summary on the seismic analysis in the electrical system[J].World Earthquake Engineering,2002,18(4):79―84.(in Chinese)
[4]张润升.以科技为先导推动企业发展[J].内蒙古电力技术,1996(6):2―3.Zhang Runsheng.Promoting the development of enterprises based on science and technology[J].Inner Mongolia Electric Power,1996(6):2―3.(in Chinese)
[5]Whittaker Andrew S,Fenves Gregory L,Gilani Amir S J.Seismic evaluation and analysis of high-voltage substation disconnect switches[J].Engineering Structures,2007,29(12):3538―3549.
[6]Carlo Camensig,Luca Bresesti,Stefano Clementelb.Seismic risk evaluation for high voltage air insulated substations[J].Reliability Engineering&System Safety,1997,55(2):179―191.
[7]杨亚弟,张其浩.具有柔性结点的有限元法及其应用[J].工程力学,1988(3):87―94.Yang Yadi,Zhang Qihao.The FEM with flexible nodel point and its application[J].Engineering Mechanics,1988(3):87―94.(in Chinese)
[8]张伯艳,方诗圣,范知好.高压电气设备的抗震计算[J].中国电力,2001,34(1):44―47.Zhang Boyan,Fang Shisheng,Fan Zhihao.The aseismatic calculation of the high voltage electricity equipment[J].Electric Power,2001,34(1):44―47.(in Chinese)
[9]江建华,廖松涛,李杰.高压电气设备的抗震可靠度分析[J].工程抗震,2004,25(4):37―42.Jiang Jianhua,Liao Songtao,Li Jie.Seismic reliability analysis for high voltage electrical installations[J].Earthquake Resistant Engineering,2004,25(4):37―42.(in Chinese)
[10]李晓玉,陈淮,李天.高压电气设备动态特性分析[J].郑州工业大学学报,1999,20(2):61―63.Li Xiaoyu,Chen Huai,Li Tian.Study on natural frequencies of high-voltage electrical equipment[J].Journal of Zhengzhou University of Technology,1999,20(2):61―63.(in Chinese)
[11]李晓玉,陈淮,吴勘.高压电气设备地震时程响应分析[J].郑州工业大学学报,2002,23(4):72―75.Li Xiaoyu,Chen Huai,Wu Kan.Study on earthquake responses of high-voltage electrical equipment[J].Journal of Zhengzhou University of Technology,2002,23(4):72―75.(in Chinese)
[12]克拉夫R W,彭津J.结构动力学[M].王光远,译.北京:科学出版社,1981.Clough R W,Penzien J.Dynamics of structure[M].Transtated by Wang Guangyuan.Beijing:Science Press,1981.(in Chinese)
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