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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (11): 1304-1313.

• 论文 • 上一篇    下一篇

ANALYSIS ON TRANSVERSE IMPACT RESPONSE OF AN UNRESTRAINED TIMOSHENKO BEAM

陈镕1,2, 郑海涛1, 薛松涛1,2,3, 唐和生1, 王远功1,2   

  1. 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
  • 收稿日期:2003-08-28 修回日期:2004-06-18 出版日期:2004-11-18 发布日期:2004-11-18
  • 基金资助:

    the National Natural Science Found of China for Outstanding Young Scientists(59925820)

ANALYSIS ON TRANSVERSE IMPACT RESPONSE OF AN UNRESTRAINED TIMOSHENKO BEAM

CHEN Rong1,2, ZHENG Hai-tao1, XUE Song-tao1,2,3, TANG He-sheng1, WANG Yuan-gong1,2   

  1. 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
  • Received:2003-08-28 Revised:2004-06-18 Online:2004-11-18 Published:2004-11-18

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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.

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.

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