ANALYSIS ON IMPACT RESPONSES OF UNRESTRAINED PLANAR FRAME STRUCTURE(Ⅰ)—FORMULA DERIVATION  

作　　者：陈镕 郑海涛 薛松涛 唐和生 HE Fu-bao 

机构地区：[1]Research Institution of Structural Engineering aad Disaster Reduction, Tongji University, Shanghai 200092, P. R. China [2]Center for Aerospace Technology, Tongii University, Shanghai 200092, P. R. China [3]Department of Architecture, School of Science and Engineering, Kinki University, Osaka 577-8502, Japan [4]不详

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第11期1449-1457,共9页应用数学和力学（英文版）

基　　金：ProjectsupportedbytheNationalScienceFundforDistinguishedYoungScholars(No.59925820)

摘　　要：The generalized Fourier-series method was used to derive the impact responses formula of an unrestrained planar frame structure when subjected to an impact of a moving rigid-body. By using these formula, the analytic solutions of dynamic responses of the contact-impact system can be obtained. During the derivation, the momentum sum of elastic responses of the contact-impact system is demonstrated to be zero. From the derivation, it is seen that the modal method can also be used to solve this kind of impact problem.The generalized Fourier-series method was used to derive the impact responses formula of an unrestrained planar frame structure when subjected to an impact of a moving rigid-body. By using these formula, the analytic solutions of dynamic responses of the contact-impact system can be obtained. During the derivation, the momentum sum of elastic responses of the contact-impact system is demonstrated to be zero. From the derivation, it is seen that the modal method can also be used to solve this kind of impact problem.

关 键 词：unrestrained planar frame structure impact rigid response elastic response 

分 类 号：O347[理学—固体力学]