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.
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Communicated by HE Fu-bao, Original Member of Editorial Committee, AMM
Project supported by the National Science Fund for Distinguished Young Scholars ( No. 59925820)
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Chen, R., Zheng, Ht., Xue, St. et al. Analysis on impact responses of unrestrained planar frame structure(I)—Formula derivation. Appl. Math. Mech.-Engl. Ed. 26, 1449–1457 (2005). https://doi.org/10.1007/BF03246251
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DOI: https://doi.org/10.1007/BF03246251