Research article Vol. 13 No. 4 (2017): International Journal for Computational Civil and Structural Engineering

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

Sergey I. Zhavoronok
82-95 DOI 10.22337/2587-9618-2017-13-4-82-95 Published 2017-12-31
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ON HAMILTONIAN FORMULATIONS AND CONSERVATION LAWS FOR PLATE THEORIES OF VEKUA-AMOSOV TYPE

Authors

  • Sergey I. Zhavoronok Institute of Applied Mechanics of Russian Academy of Sciences, Moscow, RUSSIA Moscow Aviation Institute (National Research University), Moscow, RUSSIA

DOI:

https://doi.org/10.22337/2587-9618-2017-13-4-82-95

Keywords:

refined shell theory, analytical mechanics of continua, Hamiltonian formalism, de Donder – Weyl formulation, conservation laws

Abstract

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

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Published

2017-12-31

Issue

Vol. 13 No. 4 (2017): International Journal for Computational Civil and Structural Engineering

Section

Research article

How to Cite

Zhavoronok, S. I. (2017). ON HAMILTONIAN FORMULATIONS AND CONSERVATION LAWS FOR PLATE THEORIES OF VEKUA-AMOSOV TYPE. International Journal for Computational Civil and Structural Engineering, 13(4), 82-95. https://doi.org/10.22337/2587-9618-2017-13-4-82-95

Keywords

refined shell theory, analytical mechanics of continua, Hamiltonian formalism, de Donder – Weyl formulation, conservation laws

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