广义非保守系统的新型最小作用量原理  

PRINCIPLES OF NEW FORM LEAST ACTION OF GENERALIZED NONCONSERVATIVE SYSTEMS

作　　者：赵淑红[1,2] 梁立孚[1] 乔永芬[3] 

机构地区：[1]哈尔滨工程大学建筑工程学院 [2]东北农业大学工程学院,哈尔滨150030 [3]东北农业大学工程学院

出　　处：《动力学与控制学报》2007年第1期8-12,共5页Journal of Dynamics and Control

基　　金：国家自然科学基金资功项目(10272034).~~

摘　　要：分别建立了广义非保守系统的Hamilton-Tabarrok-Leech正则方程和Raitzin-Tabarrok-Leech正则方程.给出了广义非保守系统的三种新型最小作用量原理Lagrange-Tabarrok-Leech最小作用量原理,Raitzin-Tabarrok-Leech最小作用量原理和Lagrange-Raitzin-Tabarrok-Leech最小作用量原理,并举例说明这些原理的应用.The canonical equations of Hamilton - Tabarrok - Leech and Raitzin - Tabarrok - Leech for generalized nonconservative systems were established respectively. Three kinds of the principles of new form least action for generalized nonconservative systems were given, namely, the principles of new form least action of Lagrange - Tabarrok - Leech, the principles of new form least action of Raitzin - Tabarrok - Leech and the principles of new form least action of Lagrange - Raitzin - Tabarrok - Leech. And two examples were given to illustrate the application of the results.

关 键 词：广义经典力学 非保守系统 最小作用量原理 

分 类 号：O316[理学—一般力学与力学基础]