# Variational formulations I: Statics of mechanical systems

Communications in Mathematics (2011)

- Volume: 19, Issue: 2, page 179-206
- ISSN: 1804-1388

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topTulczyjew, Włodzimierz M.. "Variational formulations I: Statics of mechanical systems." Communications in Mathematics 19.2 (2011): 179-206. <http://eudml.org/doc/246422>.

@article{Tulczyjew2011,

abstract = {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.},

author = {Tulczyjew, Włodzimierz M.},

journal = {Communications in Mathematics},

keywords = {variational principles; constraints; Legendre-Fenchel transformation; variational principles; constraints; Legendre-Fenchel transformation},

language = {eng},

number = {2},

pages = {179-206},

publisher = {University of Ostrava},

title = {Variational formulations I: Statics of mechanical systems},

url = {http://eudml.org/doc/246422},

volume = {19},

year = {2011},

}

TY - JOUR

AU - Tulczyjew, Włodzimierz M.

TI - Variational formulations I: Statics of mechanical systems

JO - Communications in Mathematics

PY - 2011

PB - University of Ostrava

VL - 19

IS - 2

SP - 179

EP - 206

AB - 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.

LA - eng

KW - variational principles; constraints; Legendre-Fenchel transformation; variational principles; constraints; Legendre-Fenchel transformation

UR - http://eudml.org/doc/246422

ER -

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