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ANALYSIS ON TRANSVERSE IMPACT RESPONSE OF AN UNRESTRAINED TIMOSHENKO BEAM
引用本文:陈镕,郑海涛,薛松涛,唐和生,王远功. ANALYSIS ON TRANSVERSE IMPACT RESPONSE OF AN UNRESTRAINED TIMOSHENKO BEAM[J]. 应用数学和力学(英文版), 2004, 25(11): 1304-1313. DOI: 10.1007/BF02438287
作者姓名:陈镕  郑海涛  薛松涛  唐和生  王远功
作者单位:[1]ResearchInstitutionofStructuralEngineeringandDisasterReduction,TongjiUniversity,Shanghai200092,P.R.China [4]ResearchInstitutionofStructuralEngineeringandDisasterReduction,TongjiUniversity,Shanghai200092,P.R.China//~CenterforAerospaceTechnology,TongjiUniversity,Shanghai200092,P.R.China
基金项目:theNationalNaturalScienceFoundofChinaforOutstandingYoungScientists(5992 582 0 )
摘    要:A moving rigid-body and an unrestrained Timoshenko beam, which is subjected to the transverse impact of the rigid-body, are treated as a contact-impact system. The generalized Fourier-series method was used to derive the characteristic equation and the characteristic function of the system. The analytical solutions of the impact responses for the system were presented. The responses can be divided into two parts : elastic responses and rigid responses. The momentum sum of elastic responses of the contact-impact system is demonstrated to be zero, which makes the rigid responses of the system easy to evaluate according to the principle of momentum conservation.

关 键 词:蒂谟森科电子束 无约束 弹性应力 刚性应力 弹性碰撞
收稿时间:2003-08-28

Analysis on transverse impact response of an unrestrained timoshenko beam
Rong,Chen,Hai-tao,Zheng,Song-tao,Xue,He-sheng,Tang,Yuan-gong,Wang. Analysis on transverse impact response of an unrestrained timoshenko beam[J]. Applied Mathematics and Mechanics(English Edition), 2004, 25(11): 1304-1313. DOI: 10.1007/BF02438287
Authors:Rong  Chen  Hai-tao  Zheng  Song-tao  Xue  He-sheng  Tang  Yuan-gong  Wang
Affiliation:1. 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
2. Research Institution of Structural Engineering and Disaster Reduction,Tongji University, Shanghai 200092, P.R. China
3. 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 Engineer
Abstract:A moving rigid_body and an unrestrained Timoshenko beam,which is subjected to the transverse impact of the rigid_body,are treated as a contact_impact system.The generalized Fourier_series method was used to derive the characteristic equation and the characteristic function of the system.The analytical solutions of the impact responses for the system were presented.The responses can be divided into two parts:elastic responses and rigid responses.The momentum sum of elastic responses of the contact_impact system is demonstrated to be zero,which makes the rigid responses of the system easy to evaluate according to the principle of momentum conservation.
Keywords:unrestrained  Timoshenko beam  tansverse impact  elastic response  rigid response  momentum
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