ON HAMILTONIAN FORMULATIONS AND CONSERVATION LAWS FOR PLATE THEORIES OF VEKUA-AMOSOV TYPE

ON HAMILTONIAN FORMULATIONS AND CONSERVATION LAWS FOR PLATE THEORIES OF VEKUA-AMOSOV TYPE

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...

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Main Author: Sergey I. Zhavoronok
Format: Article
Language:English
Published: Publishing House ASV 2017-12-01
Series:International Journal for Computational Civil and Structural Engineering
Subjects:
refined shell theory, analytical mechanics of continua, Hamiltonian formalism, de Donder – Weyl formulation, conservation laws
Online Access:http://ijccse.iasv.ru/article/view/90
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spelling doaj-2ece217e257b485e87381431da80e0022020-11-25T00:18:54ZengPublishing House ASVInternational Journal for Computational Civil and Structural Engineering2587-96182588-01952017-12-0113410.22337/2587-9618-2017-13-4-82-95ON HAMILTONIAN FORMULATIONS AND CONSERVATION LAWS FOR PLATE THEORIES OF VEKUA-AMOSOV TYPESergey I. Zhavoronok0Institute of Applied Mechanics of Russian Academy of Sciences, Moscow, RUSSIA Moscow Aviation Institute (National Research University), Moscow, RUSSIA 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 http://ijccse.iasv.ru/article/view/90refined shell theory, analytical mechanics of continua, Hamiltonian formalism, de Donder – Weyl formulation, conservation laws
collection DOAJ
language English
format Article
sources DOAJ
author Sergey I. Zhavoronok
spellingShingle Sergey I. Zhavoronok
ON HAMILTONIAN FORMULATIONS AND CONSERVATION LAWS FOR PLATE THEORIES OF VEKUA-AMOSOV TYPE
International Journal for Computational Civil and Structural Engineering
refined shell theory, analytical mechanics of continua, Hamiltonian formalism, de Donder – Weyl formulation, conservation laws
author_facet Sergey I. Zhavoronok
author_sort Sergey I. Zhavoronok
title ON HAMILTONIAN FORMULATIONS AND CONSERVATION LAWS FOR PLATE THEORIES OF VEKUA-AMOSOV TYPE
title_short ON HAMILTONIAN FORMULATIONS AND CONSERVATION LAWS FOR PLATE THEORIES OF VEKUA-AMOSOV TYPE
title_full ON HAMILTONIAN FORMULATIONS AND CONSERVATION LAWS FOR PLATE THEORIES OF VEKUA-AMOSOV TYPE
title_fullStr ON HAMILTONIAN FORMULATIONS AND CONSERVATION LAWS FOR PLATE THEORIES OF VEKUA-AMOSOV TYPE
title_full_unstemmed ON HAMILTONIAN FORMULATIONS AND CONSERVATION LAWS FOR PLATE THEORIES OF VEKUA-AMOSOV TYPE
title_sort on hamiltonian formulations and conservation laws for plate theories of vekua-amosov type
publisher Publishing House ASV
series International Journal for Computational Civil and Structural Engineering
issn 2587-9618
2588-0195
publishDate 2017-12-01
description 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
topic refined shell theory, analytical mechanics of continua, Hamiltonian formalism, de Donder – Weyl formulation, conservation laws
url http://ijccse.iasv.ru/article/view/90
work_keys_str_mv AT sergeyizhavoronok onhamiltonianformulationsandconservationlawsforplatetheoriesofvekuaamosovtype
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