Analysis on Impact Responses of an Unrestrained Planar Frame Structure(Ⅰ)—Formula Derivation

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

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(11): 1314-1322

CHEN Rong, ZHENG Hai-tao, XUE Song-tao, TANG He-sheng. Analysis on Impact Responses of an Unrestrained Planar Frame Structure(Ⅰ)—Formula Derivation[J]. Applied Mathematics and Mechanics, 2005, 26(11): 1314-1322.

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Analysis on Impact Responses of an Unrestrained Planar Frame Structure(Ⅰ)—Formula Derivation

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

Received Date: 2003-05-19
Rev Recd Date: 2005-07-01
Publish Date: 2005-11-15

Abstract

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.
- unrestrained planar frame structure,
- impact,
- rigid response,
- elastic response

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References(5)

References

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