串联电气设备支架隔震体系地震响应半解析法
|
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.
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.
引文
1赵成刚,冯启民.生命线地震工程.北京:地震出版社,1994 (Zhao Chenggang,Feng Qimin.Lifeline Earthquake Engineering. Beijing:Earthquake Publishing House,1994(in Chinese))
2 GB50260-96.电力抗震设计规范.北京:中国计划出版社, 1996(GB50260-96.Code for Design of Seismic of Electrical Installations.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.世界地震工程,2002,18(04):79-84(Li Yaqi,Li Xiaojun,Liu Xihui. A summary on the seismic analysis in the electrical system. World Earthquake Engineering,2002,18(04):79-84 (in Chinese))
4张润升.以科技为先导推动企业发展.内蒙古电力,1996,6: 2-3(Zhang Runsheng.Promoting the development of enterprises based on science and technology.Inner Mongolia Electric Power,1996,6:2-3(in Chinese))
5非明伦,周光全.盐津5.1级地震现场调查与烈度分布.地震研究,2006,29(4):412-417(Fei Minglun,Zhou Guangquan. ??Yanjin,Yunnan,Ms 5.1 earthquake damage survey in field and intensity distribution.Journal of Seismological Research, 2006,29(4):412-417(in.Chinese))
6 Shinozuka M,Rose A,Eguchi RT.Engineering and Socioeconmic Impacts of Earthquakes:An Analysis of Electricity Lifeline Disruptions in the New Madrid Area,MCEER. 1998
7 Ersoy S,Saadeghvaziri MA,Gee YL,et al.Analytical and experimental seismic studies of transformer isolated with friction pendulum system and design aspects.Earthquake Spectra,2001,17(4):569-595
8韩军科,朱全军,杨风利等.基底隔震技术在高压电气设备中的应用.电网技术,2007,31(s2):69-71(Han Junke,Zhu Quanjun,Yang Fengli,et al.Application of base isolation in high voltage electrical equipment.Power System Tech- nology,2007,31(s2):69-71(in Chinese))
9 Whittaker AS,Fenves GL,Gilani ASJ.Seismic evaluation and analysis of high-voltage substation disconnect switches. Engineering Structures,2007,29(12):3538-3549
10 Carlo Camensig,Luca Bresesti,Stefano Clementelb,et al. Seismic risk evaluation for high voltage air insulated substations. Reliability Engineering & System Safety,1997, 55(2):179-191
11杨亚弟,张其浩.具有柔性结点的有限元法及其应用.工程力学,1988,(3):87-94(Yang Yadi,Zhang Qihao.The FEM with flexible nodel point and its application.Engineering Mechanics,1988,(3):87-94(in Chinese))
12张伯艳,方诗圣,范知好.高压电气设备的抗震计算.中国电力,2001,34(1):44-47(Zhang Boyan,Fang Shisheng, Fan Zhihao.The aseismatic calculation of the high voltage electricity equipment.Electric Power,2001,34(1):44-47 (in Chinese))
13江建华,廖松涛,李杰.高压电气设备的抗震可靠度分析.工程抗震,2004,25(4):37-42(Jiang Jianhua,Liao Songtao, Li Jie.Seismic reliability analysis for high voltage electrical installations.Earthquake Resistant Engineering,2004, 25(4):37-42(in Chinese))
14李晓玉,陈淮,李天.高压电气设备动态特性分析.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.Journal of Zhengzhou University of Technology, 1999,20(2):61-63(in Chinese))
15李晓玉,陈淮,吴勘.高压电气设备地震时程响应分析.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.Journal of Zhengzhou University of Technology,2002,23(4):72-75(in Chinese))
2 GB50260-96.电力抗震设计规范.北京:中国计划出版社, 1996(GB50260-96.Code for Design of Seismic of Electrical Installations.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.世界地震工程,2002,18(04):79-84(Li Yaqi,Li Xiaojun,Liu Xihui. A summary on the seismic analysis in the electrical system. World Earthquake Engineering,2002,18(04):79-84 (in Chinese))
4张润升.以科技为先导推动企业发展.内蒙古电力,1996,6: 2-3(Zhang Runsheng.Promoting the development of enterprises based on science and technology.Inner Mongolia Electric Power,1996,6:2-3(in Chinese))
5非明伦,周光全.盐津5.1级地震现场调查与烈度分布.地震研究,2006,29(4):412-417(Fei Minglun,Zhou Guangquan. ??Yanjin,Yunnan,Ms 5.1 earthquake damage survey in field and intensity distribution.Journal of Seismological Research, 2006,29(4):412-417(in.Chinese))
6 Shinozuka M,Rose A,Eguchi RT.Engineering and Socioeconmic Impacts of Earthquakes:An Analysis of Electricity Lifeline Disruptions in the New Madrid Area,MCEER. 1998
7 Ersoy S,Saadeghvaziri MA,Gee YL,et al.Analytical and experimental seismic studies of transformer isolated with friction pendulum system and design aspects.Earthquake Spectra,2001,17(4):569-595
8韩军科,朱全军,杨风利等.基底隔震技术在高压电气设备中的应用.电网技术,2007,31(s2):69-71(Han Junke,Zhu Quanjun,Yang Fengli,et al.Application of base isolation in high voltage electrical equipment.Power System Tech- nology,2007,31(s2):69-71(in Chinese))
9 Whittaker AS,Fenves GL,Gilani ASJ.Seismic evaluation and analysis of high-voltage substation disconnect switches. Engineering Structures,2007,29(12):3538-3549
10 Carlo Camensig,Luca Bresesti,Stefano Clementelb,et al. Seismic risk evaluation for high voltage air insulated substations. Reliability Engineering & System Safety,1997, 55(2):179-191
11杨亚弟,张其浩.具有柔性结点的有限元法及其应用.工程力学,1988,(3):87-94(Yang Yadi,Zhang Qihao.The FEM with flexible nodel point and its application.Engineering Mechanics,1988,(3):87-94(in Chinese))
12张伯艳,方诗圣,范知好.高压电气设备的抗震计算.中国电力,2001,34(1):44-47(Zhang Boyan,Fang Shisheng, Fan Zhihao.The aseismatic calculation of the high voltage electricity equipment.Electric Power,2001,34(1):44-47 (in Chinese))
13江建华,廖松涛,李杰.高压电气设备的抗震可靠度分析.工程抗震,2004,25(4):37-42(Jiang Jianhua,Liao Songtao, Li Jie.Seismic reliability analysis for high voltage electrical installations.Earthquake Resistant Engineering,2004, 25(4):37-42(in Chinese))
14李晓玉,陈淮,李天.高压电气设备动态特性分析.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.Journal of Zhengzhou University of Technology, 1999,20(2):61-63(in Chinese))
15李晓玉,陈淮,吴勘.高压电气设备地震时程响应分析.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.Journal of Zhengzhou University of Technology,2002,23(4):72-75(in Chinese))
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心