Geodesic
Variational formulations I: Statics of mechanical systems
Communications in Mathematics, Tome 19 (2011) no. 2, pp. 179-206.

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Two improvements of variational formulations of mechanics are proposed. The first consists in a modification of the definition of equilibrium. The second consists in adding elements of control by external devices. In the present note the proposed improvements are applied to variational principles of statics. Numerous examples are given.
Classification : 70C20
Keywords: variational principles; constraints; Legendre-Fenchel transformation 
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     title = {Variational formulations {I:} {Statics} of mechanical systems},
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Tulczyjew, Włodzimierz M. Variational formulations I: Statics of mechanical systems. Communications in Mathematics, Tome 19 (2011) no. 2, pp. 179-206. http://geodesic.mathdoc.fr/item/COMIM_2011__19_2_a6/