Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (8): 937-946.

• Articles • Previous Articles     Next Articles

THE COMPLEMENTARY PROPERTY OF LINDELÖF’S WORK AND CHAPLYGIN’S WORK

LIANG Li-fu, CHEN Wei-dong   

  1. Department of Airspace Engineering, Harbin Engineering University, Harbin 150001, P.R.China
  • Received:1999-05-26 Revised:2000-04-13 Online:2000-08-18 Published:2000-08-18
  • Supported by:

    the National Natural Science Foundation of China (19872022);the Doctoral Foundation of Education Committee of China

Abstract: Lindelf’s equation is derived by using the Vakonomic model,which shows that Lindelf’s work coincides with Vakonomic model. Chaplygin’s equation is derived by using Chetaev’s model, which shows that Chaplygin’s work coincides with Chetaev’s model. On basis of these, by improving the expressions of Chaplygin’s equation and Lindelf’s equation, the reasonable transition from Chaplygin’s equation to Lindelf’s equation is realized, the reasonable transition from Lindelf’s equation to Chaplygin’s equation is realized too. Finally, a typical example is given. The work of this paper shows that, just as the Vakonomic model and Chetaev’s model are complementary to each other, Lindelf’s work and Chaplygin’s work are complementary to each other too.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals