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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Communicated by HE Fu-bao, Original Member of Editorial Committee, AMM
Foundation item: the National Natural Science Found of China for Outstanding Young Scientists (59925820)
Biography: CHEN Rong (1944≈)
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Rong, C., Hai-tao, Z., Song-tao, X. et al. Analysis on transverse impact response of an unrestrained timoshenko beam. Appl Math Mech 25, 1304–1313 (2004). https://doi.org/10.1007/BF02438287
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DOI: https://doi.org/10.1007/BF02438287