Analysis on Transverse Impact Response of an Unrestrained Timoshenko Beam

CHEN Rong; ZHENG Hai-tao; XUE Song-tao; TANG He-sheng; WANG Yuan-gong

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(11): 1195-1202

CHEN Rong, ZHENG Hai-tao, XUE Song-tao, TANG He-sheng, WANG Yuan-gong. Analysis on Transverse Impact Response of an Unrestrained Timoshenko Beam[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1195-1202.

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Analysis on Transverse Impact Response of an Unrestrained Timoshenko Beam

1.
Research Institution of Structural Engineering and Disaster Reduction, Tongji University, Shanghai 200092, P. R. China;

Received Date: 2003-08-28
Rev Recd Date: 2004-06-18
Publish Date: 2004-11-15

Abstract

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.
- unrestrained,
- Timoshenko beam,
- tansverse impact,
- elastic response,
- rigid response,
- momentum

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References(6)

References

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