| LAGRANGE'S THEOREM FOR A CLASS OF NONHOLONOMICSYSTEMS AND ITS APPLICATION |
| |
| 作者姓名： | 李刚常 |
| |
| 摘 要： | I.IntroductionSinceE.T.Whittaker.proposedfoestabilit}'problellll'lofnonholononlicsystemsin1904forthefirsttime,thescholarsathomeandabroad11a\'emadealotofresearchesontheequilibriunlstabilityoflinearand11olllinearnonllolollolnicsystems,andhaveobtainedaseriesofimportantresultslZ--7].Hobbled'er,theexpositionandapplicationrelatedtoLagrange'stheorenlinthestabilityanalysisfornonholonomicsystemsisseldonlseenuptonow.Althoughitwasmentionedinreference3].aspecialdiscussionhasnotbeencarriedoutyet.Asafam…
|
| 关 键 词： | nonholonomic system Lagrange’s theorem manifold stability Liapunov’s direct method |
| 收稿时间： | 6 September 1995 |
Lagrange's theorem for a class of nonholonomic systems and its application |
| |
| Li Gangchang,He Shiben.LAGRANGE'S THEOREM FOR A CLASS OF NONHOLONOMICSYSTEMS AND ITS APPLICATION[J].Applied Mathematics and Mechanics(English Edition),1998,19(2):135-146. |
| |
| Authors: | Li Gangchang He Shiben |
| |
| Institution: | Department of Basic Science . Liaoning Teehnical University . Fuxin 123000. P. R. China |
| |
| Abstract: | The stability problem for the manifold of equilibrium positions of a class of nonholonomic systems is studied is studied in this paper .Based on Liapunov's direct method and the definition of stability , Lagrange's theorem of holonomic systems is extended to a class of nonholonomic conservative systems and dissipative systems ,and a new expression is made to the relation between asymptotic stability for the manifold of equilibrium positions of this class of nonholonomic systems and dissipative forces .Twoexamples are finally given to illustrate the application of the theorems . |
| |
| Keywords: | nonholonomic system Lagrange's theorem manifold stability Liapunov's direct method |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
