Response of serial system of equipment and supporter under earthquake based on semi-analytical method
Received:February 23, 2008  
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DOI:10.7511/jslx20102009
KeyWord:high-voltage electrical equipment  flexible node  serial system  mode superposition method  seismic response
        
AuthorInstitution
杜永峰 兰州理工大学 西部土木工程防灾减灾教育部工程研究中心,兰州
刘彦辉 兰州理工大学 西部土木工程防灾减灾教育部工程研究中心,兰州
李慧 兰州理工大学 西部土木工程防灾减灾教育部工程研究中心,兰州
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Abstract:
      Aiming at to serial system of the supporter and over head electrical equipment with the flexible nodes and electric porcelains, the dynamic analysis model of this serial system is proposed. The frequency equation of this serial isolated system is derived by the vibration theory of beam with distributed parameters and introducing the boundary conditions of concentrated parameters, then frequencies and mode shapes can be obtained by the numerical method. According to the Betti law, the orthogonal conditions of modes of this serial system are derived. Then using these orthogonal conditions vibration equation of this serial system is decoupled and obtain the generalized mass and stiffness. Therefore the responses of this serial system with the concentrated,distributed parameters and flexible nodes under earthquake can be solved by the mode superposition method. In order to validate the correctness of this semi-analytical method, the responses of the 330KV voltage transformer under earthquake are solved by the semi-analytical method and numerical integration method of FEM, the responses of serial system obtained by two methods are basically consistent, which indicates the correctness of this semi-analytical method to solve the response of serial isolated system under earthquake.