Symmetry and conserved quantity of Lagrangians for nonholonomic variable mass system

Author:

Zhang Bin ,Fang Jian-Hui ,Zhang Ke-Jun ,

Abstract

In this paper are study the symmetry of Lagrangians and the conserved quantities for a nonholonomic variable mass system. Firstly, the criterion of the symmetry of Lagrangians for a nonholonomic variable mass system is given. Secondly, the conditions under which there exist a conserved quantity and the form of the conserved quantity, are obtained. Finally, an example is given to illustrate the application of the results.

Publisher

Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences

Subject

General Physics and Astronomy

Reference16 articles.

1. Guo Y X, Shang M, Luo S K 2003 Applied Mathematics & Mechanics 24 62 (in Chinese) [郭永新, 尚玫, 罗绍凯 2003 应用数学和力学 24 62]

2. Mei F X, Xu X J, Zhang Y F 2004 Acta Mech. Sin. 20 668

3. Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese) [梅凤翔 2004 约束力学系统的对称性与守恒量 (北京: 北京理工大学出版社)]

4. Fang J H, Chen P S, Zhang J 2005 Applied Mathematics & Mechanics 26 187 (in Chinese) [方建会, 陈培胜, 张军 2005 应用数学和力学 26 187]

5. Jia L Q, Zhang Y Y, Zheng S W 2007 J. Yunnan Univ. 29 589 (in Chinese) [贾利群, 张耀宇, 郑世旺 2007 云南大学学报 (自然科学版) 29 589 ]

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3