Abstract A new model in nonholonomic mechanics,the Rosen--Edelstein model, has been studied. We prove that the new model is a Lagrange problem in which the action integral $\int^{t_{1}}_{t_{0}}L$d$t$ can be made stationary.The theoretical basis of nonholonomic mechanics is investigated and discussed. Finally, we give the range of practical applications of theRosen--Edelstein model.
Received: 11 April 2006
Revised: 26 June 2006
Accepted manuscript online:
PACS:
45.20.Jj
(Lagrangian and Hamiltonian mechanics)
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10272021 and
10572021) and the Doctoral Programme Foundation of Institution of Higher Education of China (Grant No 20040007022).
Cite this article:
Li Guang-Cheng(李广成) and Mei Feng-Xiang(梅凤翔） On the Rosen-Edelstein model andthe theoretical foundation of nonholonomicmechanics 2006 Chinese Physics 15 2496
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