二阶可降阶微分约束系统的形式不变性  

Form invariance for a constrained system with second-order reducible differential constraints

作　　者：葛伟宽[1] 张毅[2] 

机构地区：[1]湖州师范学院物理系,湖州313000 [2]苏州科技学院土木工程系,苏州215011

出　　处：《物理学报》2003年第9期2105-2108,共4页Acta Physica Sinica

基　　金：国家自然科学基金(批准号 :19972 0 10 );江苏省青蓝工程基金资助的课题~~

摘　　要：研究具有二阶可降阶微分约束的力学系统的形式不变性 .采用两种方法 :一是用不可降阶微分约束系统的方法 ;另一是用降阶后系统的方法 .研究两种方法之间的关系 .结果表明 。A form invariance for mechanical systems with second-order reducible differential constraints is studied. Two methods to study the form invariance of the systems are used. In the first method, the system is considered as a nonholonomic system with second-order and in the second method it is considered as a system after reduction. The relation between the two methods is obtained. The result proves that it is possible that some symmetries are lost in the second method.

关 键 词：力学系统 形式不变性 守恒量 二阶可降阶微分约束系统 运动微分方程 二阶非完整系统 

分 类 号：O316[理学—一般力学与力学基础]