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ANALYSIS ON IMPACT RESPONSES OF UNRESTRAINED PLANAR FRAME STRUCTURE(Ⅰ)—FORMULA DERIVATION
引用本文:陈镕 郑海涛 薛松涛 唐和生 HE Fu-bao.ANALYSIS ON IMPACT RESPONSES OF UNRESTRAINED PLANAR FRAME STRUCTURE(Ⅰ)—FORMULA DERIVATION[J].应用数学和力学(英文版),2005,26(11):1449-1457.
作者姓名:陈镕  郑海涛  薛松涛  唐和生  HE  Fu-bao
作者单位:Research Institution of Structural Engineering and Disaster Reduction,Tongji University,Shanghai 200092,P.R.China,Center for Aerospace Technology,Tongji University,Shanghai 200092,P.R.China,Research Institution of Structural Engineering and Disaster Reduction,Tongji University,Shanghai 200092,P.R.China,Research Institution of Structural Engineering and Disaster Reduction,Tongji University,Shanghai 200092,P.R.China,Center for Aerospace Technology,Tongji University,Shanghai 200092,P.R.China,Department of Architecture,School of Science and Engineering,Kinki University,Osaka 577-8502,Japan,Research Institution of Structural Engineering and Disaster Reduction,Tongji University,Shanghai 200092,P.R.China,Center for Aerospace Technology,Tongji University,Shanghai 200092,P.R.China
基金项目:ProjectsupportedbytheNationalScienceFundforDistinguishedYoungScholars(No.59925820)
摘    要:Introduction Recently,therehavebeenconsiderablestudiesontransientresponsesandwave propagationofrestrainedstructureswhicharebeingimpacted1,2].But,fortheunrestrained structures,therearefewrelativeliteratureshavingbeenpublished.Unrestrainedstructures aremai…

关 键 词:平面结构  碰撞反应  刚性反应  弹性力学
文章编号:0253-4827(2005)11-1449-09
收稿时间:2003-05-19
修稿时间:2005-07-01

Analysis on impact responses of unrestrained planar frame structure(I)—Formula derivation
Rong Chen,Hai-tao Zheng,Song-tao Xue,He-sheng Tang.Analysis on impact responses of unrestrained planar frame structure(I)—Formula derivation[J].Applied Mathematics and Mechanics(English Edition),2005,26(11):1449-1457.
Authors:Rong Chen  Hai-tao Zheng  Song-tao Xue  He-sheng Tang
Affiliation:1. Research Institution of Structural Engineering and Disaster Reduction, Tongji University, Shanghai, 200092, P. R. China
2. Center for Aerospace Technology, Tongji University, Shanghai, 200092, P. R. China
3. Department of Architecture, School of Science and Engineering, Kinki University, Osaka, 577-8502, Japan
Abstract: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.
Keywords:unrestrained planar frame structure  impact  rigid response  elastic response
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