EXTENSIONS OF APPELL'S AND TZENOFF'S EQUATIONS TO GENERAL NONHOLONOMIC SYSTEMS

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Xue Wenxi Xi’an Mining Institute
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general nonholonomic system; Appell’s equation; Tzènoffs equation; variational principle; Gauss principle;
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In this paper we present a new variational principle,from which Gauss principle can bederived as a corollary.By using the new principle,Appell’s and Tzènoffs equations are extended tononholonomic systems of any order.As an example,a second order nonholonomic system is given to illustratethe application of the equations obtained.
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页码:354 / 362
页数:9
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