Open AccessON HAMILTONIAN FORMULATIONS AND CONSERVATION LAWS FOR PLATE THEORIES OF VEKUA-AMOSOV TYPE
Author(s) -
Sergey I. Zhavoronok
Publication year - 2017
Publication title -
international journal for computational civil and structural engineering
Language(s) - English
Resource type - Journals
eISSN - 2588-0195
pISSN - 2587-9618
DOI - 10.22337/2587-9618-2017-13-4-82-95
Subject(s) - conservation law , mathematics , formalism (music) , hamiltonian (control theory) , classical mechanics , type (biology) , mathematical analysis , calculus (dental) , physics , mathematical optimization , art , musical , visual arts , medicine , ecology , dentistry , biology
Some variants of the generalized Hamiltonian formulation of the plate theory of I. N. Vekua – A. A. Amosov type are presented. The infinite dimensional formulation with one evolution variable, or an “instantaneous” formalism, as well as the de Donder – Weyl one are considered, and their application to the numerical simulation of shell and plate dynamics is briefly discussed. The main conservation laws are formulated for the general plate theory of Nth order, and the possible motion integrals are introduced