时间尺度上变质量非完整系统相对于非惯性系的Noether对称性  

On Noether symmetry of relativity to non-inertial systems for variable mass nonholonomic systems on time scales

作　　者：方蕊 朱建青 FANG Rui;ZHU Jian-qing(School of Mathematical Sciences,Suzhou University of Science and Technology,Suzhou 215009,Jiangsu,China)

机构地区：[1]苏州科技大学数学科学学院,江苏苏州215009

出　　处：《云南大学学报（自然科学版）》2022年第3期515-521,共7页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11572212,11972241);江苏省研究生科研与实践创新计划(KYCX19_2014).

摘　　要：研究时间尺度上变质量非完整系统相对于非惯性系的Noether对称性与守恒量.在Hamilton原理的基础上,建立了时间尺度上变质量非完整系统相对于非惯性系的运动方程.给出该系统的Noether广义准对称性的判据与守恒量,并对守恒量进行证明.文末给出算例对研究结果的应用进行说明.The Noether symmetry and conserved quantity of variable mass nonholonomic systems relative to non-inertial systems on time scale have been studied in the research.On the basis of Hamilton principle,the equation of motion of the variable mass nonholonomic systems relative to non-inertial systems on time scales have been established.The criterion of Noether generalized quasi-symmetry and conserved quantity of this system are given,and the conserved quantity has been proved.Finally,an example is given to illustrate the application of the research results.

关 键 词：时间尺度 非惯性系 变质量非完整系统 对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]