Mei’s symmetry theorem for time scales nonshifted mechanical systems

We focus on Mei symmetry for time scales nonshifted mechanical systems within Lagrangian framework and its resulting new conserved quantities. Firstly, the dynamic equations of time scales nonshifted holonomic systems and time scales nonshifted nonholonomic systems are derived from the generalized H...

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Autor principal:	Yi Zhang
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Mei’s symmetry theorem Nonholonomic system Nonconservative system Time scales Nonshifted calculus of variation Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/b01d17feae5f4d9db074833a70f7be4c
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spelling	oai:doaj.org-article:b01d17feae5f4d9db074833a70f7be4c2021-11-30T04:15:39ZMei’s symmetry theorem for time scales nonshifted mechanical systems2095-034910.1016/j.taml.2021.100286https://doaj.org/article/b01d17feae5f4d9db074833a70f7be4c2021-07-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2095034921000933https://doaj.org/toc/2095-0349We focus on Mei symmetry for time scales nonshifted mechanical systems within Lagrangian framework and its resulting new conserved quantities. Firstly, the dynamic equations of time scales nonshifted holonomic systems and time scales nonshifted nonholonomic systems are derived from the generalized Hamilton’s principle. Secondly, the definitions of Mei symmetry on time scales are given and its criterions are deduced. Finally, Mei’s symmetry theorems for time scales nonshifted holonomic conservative systems, time scales nonshifted holonomic nonconservative systems and time scales nonshifted nonholonomic systems are established and proved, and new conserved quantities of above systems are obtained. Results are illustrated with two examples.Yi ZhangElsevierarticleMei’s symmetry theoremNonholonomic systemNonconservative systemTime scalesNonshifted calculus of variationEngineering (General). Civil engineering (General)TA1-2040ENTheoretical and Applied Mechanics Letters, Vol 11, Iss 5, Pp 100286- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mei’s symmetry theorem Nonholonomic system Nonconservative system Time scales Nonshifted calculus of variation Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Mei’s symmetry theorem Nonholonomic system Nonconservative system Time scales Nonshifted calculus of variation Engineering (General). Civil engineering (General) TA1-2040 Yi Zhang Mei’s symmetry theorem for time scales nonshifted mechanical systems
description	We focus on Mei symmetry for time scales nonshifted mechanical systems within Lagrangian framework and its resulting new conserved quantities. Firstly, the dynamic equations of time scales nonshifted holonomic systems and time scales nonshifted nonholonomic systems are derived from the generalized Hamilton’s principle. Secondly, the definitions of Mei symmetry on time scales are given and its criterions are deduced. Finally, Mei’s symmetry theorems for time scales nonshifted holonomic conservative systems, time scales nonshifted holonomic nonconservative systems and time scales nonshifted nonholonomic systems are established and proved, and new conserved quantities of above systems are obtained. Results are illustrated with two examples.
format	article
author	Yi Zhang
author_facet	Yi Zhang
author_sort	Yi Zhang
title	Mei’s symmetry theorem for time scales nonshifted mechanical systems
title_short	Mei’s symmetry theorem for time scales nonshifted mechanical systems
title_full	Mei’s symmetry theorem for time scales nonshifted mechanical systems
title_fullStr	Mei’s symmetry theorem for time scales nonshifted mechanical systems
title_full_unstemmed	Mei’s symmetry theorem for time scales nonshifted mechanical systems
title_sort	mei’s symmetry theorem for time scales nonshifted mechanical systems
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/b01d17feae5f4d9db074833a70f7be4c
work_keys_str_mv	AT yizhang meissymmetrytheoremfortimescalesnonshiftedmechanicalsystems
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Mei’s symmetry theorem for time scales nonshifted mechanical systems

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