Variational formulations I: Statics of mechanical systems

Tulczyjew, 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 -