Lindelf's equation is derived by using the Vakonomic model,which shows that Lindelf's work coincides with Vakonomic model. Chaplygin's equation is derived by using Chetaev's model, which shows that Cha...Lindelf's equation is derived by using the Vakonomic model,which shows that Lindelf'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 Lindelf's equation, the reasonable transition from Chaplygin's equation to Lindelf's equation is realized, the reasonable transition from Lindelf'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, Lindelf's work and Chaplygin's work are complementary to each other too.展开更多
文摘Lindelf's equation is derived by using the Vakonomic model,which shows that Lindelf'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 Lindelf's equation, the reasonable transition from Chaplygin's equation to Lindelf's equation is realized, the reasonable transition from Lindelf'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, Lindelf's work and Chaplygin's work are complementary to each other too.
