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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| Format: | Article |
| Language: | English |
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Publishing House ASV
2017-12-01
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| Series: | International Journal for Computational Civil and Structural Engineering |
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| Online Access: | http://ijccse.iasv.ru/article/view/90 |
| _version_ | 1811286295229497344 |
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| author | Sergey I. Zhavoronok |
| author_facet | Sergey I. Zhavoronok |
| author_sort | Sergey I. Zhavoronok |
| collection | DOAJ |
| 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 |
| first_indexed | 2024-04-13T02:57:33Z |
| format | Article |
| id | doaj.art-2ece217e257b485e87381431da80e002 |
| institution | Directory Open Access Journal |
| issn | 2587-9618 2588-0195 |
| language | English |
| last_indexed | 2024-04-13T02:57:33Z |
| publishDate | 2017-12-01 |
| publisher | Publishing House ASV |
| record_format | Article |
| series | International Journal for Computational Civil and Structural Engineering |
| spelling | doaj.art-2ece217e257b485e87381431da80e0022022-12-22T03:05:33ZengPublishing 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, RUSSIASome 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 introducedhttp://ijccse.iasv.ru/article/view/90refined shell theory, analytical mechanics of continua, Hamiltonian formalism, de Donder – Weyl formulation, conservation laws |
| 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 |
| title | 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_short | 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 |
| 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 |