Abstract
A mechanical model of skating motion was founded, and its solution was obtained by using the Routh’s equations in nonholonomic dynamics. The two kinds of common, local meaning and scleronomic motions were discussed in detail. The computational results turn out in good agreement with observations.
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References
MEI Feng-xiang.Foundations of Mechanics of Nonholonomic Systems[M]. Beijing: Beijing Institute of Technology Press, 1985. (in Chinese)
GUO Zhong-heng, GAO Pu-yun. Further remarks on the nonholonomic dynamics[J].Acta Mechanica Sinica, 1992,24(2):253–257. (in Chinese)
GUO Zhong-heng. On the sleigh problem[A]. In: HWANG Keh-chih, XU Bing-ye Eds.Solid Mechanics and Its Engineering Applications[C]. Beijing: Tsinghua University Press, 1993,113–115. (in Chinese)
Colbeck S C, Najarian L, Smith H B. Sliding temperatures of ice skates[J].Am J Phys., 1997,65(6):488–492.
CHEN Bin.Analytical Dynamics[M]. Beijing: Peking University Press, 1987,249–251, 270–274. (in Chinese)
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Communicated by CHEN Yu-shu
Biography: HU Hui (1957-)
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Hui, H. Preliminary analysis of skating motion. Appl Math Mech 23, 114–118 (2002). https://doi.org/10.1007/BF02437738
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DOI: https://doi.org/10.1007/BF02437738