caa a22 4500 46316461X CHVBK 20180406164757.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s10778-007-0115-6 doi (NATIONALLICENCE)springer-10.1007/s10778-007-0115-6 On the canonical equations of Kirchhoff-Love theory of shells [Elektronische Daten] [N. Semenyuk, V. Trach, V. Merzlyuk] The paper outlines a procedure to derive the canonical system of equations of the classical theory of thin shells using Reissner's variational principle and partial variational principles. The Hamiltonian form of the Reissner functional is obtained using Lagrange multipliers to include the kinematical conditions that follow from the Kirchhoff-Love hypotheses. It is shown that the canonical system of equations can be represented in three different forms: one conventional form (five equilibrium equations) and two forms that are equivalent to it. This can be proved by reducing them to the same system of three equations. For problems with separable active and passive variables, partial variational principles are formulated Springer Science+Business Media, Inc., 2007 variational principles nationallicence shell theory nationallicence canonical system of equations nationallicence Kirchhoff-Love hypotheses nationallicence Lagrange multipliers nationallicence Legendre transform nationallicence Semenyuk N. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut Trach V. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut Merzlyuk V. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut International Applied Mechanics Springer US 43/10(2007-10-01), 1149-1156 1063-7095 43:10<1149 2007 43 10778 https://doi.org/10.1007/s10778-007-0115-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10778-007-0115-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Semenyuk N. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 700 1- Trach V. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 700 1- Merzlyuk V. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 773 0- International Applied Mechanics Springer US 43/10(2007-10-01), 1149-1156 1063-7095 43:10<1149 2007 43 10778 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer