Semi-analytical solution of seismic response of serially isolated equipment and supporter

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	Semi-analytical solution of seismic response of serially isolated equipment and supporter
	Du, Yongfeng; Liu, Yanhui; Li, Hui
刊名	Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
	2009-05-01
卷号	41 期号:3 页码:440-448
关键词	Distributed parameter control systems Numerical methods Seismic response Electrical equipment Flexible node Isolation Mode superposition method Nonproportional damping
ISSN号	04591879
英文摘要	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 330 kV 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.
语种	中文
出版者	Chinese Journal of Theoretical and Applied
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/111637]
专题	兰州理工大学
作者单位	Northwest Center for Disaster Mitigation in Civil Engineering, Institute of Earthquake Protection and Disaster Mitigation, Lanzhou Univ. of Tech., Lanzhou 730050, China
推荐引用方式 GB/T 7714	Du, Yongfeng,Liu, Yanhui,Li, Hui. Semi-analytical solution of seismic response of serially isolated equipment and supporter[J]. Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics,2009,41(3):440-448.
APA	Du, Yongfeng,Liu, Yanhui,&Li, Hui.(2009).Semi-analytical solution of seismic response of serially isolated equipment and supporter.Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics,41(3),440-448.
MLA	Du, Yongfeng,et al."Semi-analytical solution of seismic response of serially isolated equipment and supporter".Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics 41.3(2009):440-448.