经典非完整Appell-Hamel约束的性质  

PROPERTIES OF CLASSIC NONHOLONIMIC APPELL-HAMEL CONSTRAINT

作　　者：李广成[1] 陈雷明[1] 王东晓[1] 梅凤翔[2] 

机构地区：[1]郑州航空工业管理学院数理系,郑州450015 [2]北京理工大学力学系,北京100081

出　　处：《动力学与控制学报》2010年第2期97-99,共3页Journal of Dynamics and Control

基　　金：国家自然科学基金(10772025);河南省教育厅自然科学基金(2008A130002)资助项目~~

摘　　要：研究了非完整约束Appell-Hamel例.证明了经典Appell-Hamel例对于非完整系统的Hamilton作用量是稳定值.研究了该约束对于非完整力学Rosen-Edelstein模型的解,证明了对于三个非完整力学模型Ap-pell-Hamel例具有相同解.利用非完整力学系统可归结为有条件的完整系统的理论,得出了经典Appell-Hamel例具有第二类Lagrange方程的形式.The Appell-Hamel constraint was studied.We prove that the Appell-Hamel constraint is stationary for Hamilton Action of nonholonomic systems,and has the same solution as the three mechanical models-Chetaev model,Rosen-Edelstein model and Vacco model.Finaly,using the theory that nonholonomic systems can be looked as holonomic systems under some conditions,we prove that the Appell-Hamel constraint has Lagrange equations of the second kind.

关 键 词：Appell-Hamel约束 HAMILTON原理 Rosen-Edelstein模型 第二类Lagrange形式 

分 类 号：O316[理学—一般力学与力学基础]