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Skocz do pozycji: 1.

Tytuł:: Conformal Invariance and Conserved Quantities for Lagrange Equation of Thin Elastic Rod
Autorzy:: Wang, Peng
Feng, Hui-Rong
Lou, Zhi-Mei
Powiązania:: https://bibliotekanauki.pl/articles/1033429.pdf
Data publikacji:: 2017-02
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: conformal invariance
Lie symmetry
conserved quantities
thin elastic rod
Lagrange equation
Opis:: Basing on the analytical mechanics methods, the Lagrangian equations of thin elastic rod is constructed. The definition of conformal invariance for the Lagrange mechanics of elastic rod is given. The criterions that conformal invariance of elastic rod is the Lie symmetry are obtained based on the Lie point transformation group. The structure equation and conserved quantity deduced from conformal invariance of elastic rod are constructed. Take twist rod as an example to illustrate the application of the results got in this paper.
Źródło:: Acta Physica Polonica A; 2017, 131, 2; 283-287
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Lie symmetries and conserved quantities of discrete constrained Hamilton systems
Autorzy:: Mingliang, Z.
Powiązania:: https://bibliotekanauki.pl/articles/122848.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: discrete difference variational principle
constrained Hamilton systems
Lie symmetries
conserved quantities
symetrie Liego
system Hamiltona
teoria symetrii
dyskretne uklady mechaniczne
Opis:: In this paper, the Lie symmetry theory of discrete singular systems is studied in phase space. Firstly, the discrete canonical equations and the energy evolution equations of the constrained Hamilton systems are established based on the discrete difference variational principle. Secondly, the Lie point transformation of discrete group is applied to the difference equations and constraint restriction, and the Lie symmetry determination equations of the discrete constrained Hamilton systems are obtained; Meanwhile, the Lie symmetries of singular systems lead to the discrete Noehter type conserved quantities when the structure condition equations (discrete Noether identity) are established. Finally,an example is given to illustrate the application, the results show that the conservative constrained Hamilton systems also have the discrete energy conservation.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 3; 61-70
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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