Lindel<sup>L</sup>f的工作与Chaplygin的工作的互补性

梁立孚; 陈卫东

Lindel^Lf的工作与Chaplygin的工作的互补性

哈尔滨工程大学航天工程系, 哈尔滨 150001

基金项目: 国家自然科学基金资助课题(19872022);国家教委博士点基金资助课题

详细信息

作者简介:
梁立孚(1939- ),男,河北吴桥人,教授,博士生导师,研究方向:本构理论和变分原理,航天动力学,岩土力学及其应用.

中图分类号: O316
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- 被引次数: 0
出版历程
- 收稿日期: 1999-05-26
- 修回日期: 2000-04-13
- 刊出日期: 2000-08-15

The Complementary Property of Lindel^Lf’s Work and Chaplygin’s Work

Department of Airspace Engineering, Harbin Engineering University, Harbin 150001, P R China

摘要

摘要: 运用Vakonomic模型导出Lindel^Lf方程,表明Lindel^Lf的工作与Vakonomic模型相吻合;运用Chetaev模型导出Chaplygin方程,表明Chaplygin的工作与Chetaev模型相吻合。在此基础上,通过改进Chaplygin方程和Lindel^Lf方程的表示形式,实现了从Lindel^Lf方程向Chaplygin方程的合理过渡和从Chaplygin方程向Lindel^Lf方程的合理的过渡。最后,给出一个典型实例。结果表明,正如Vakonomic模型与Chetaev模型是互补的一样,Lindel^Lf的工作与Chaplygin的工作也是互补的。
- 非完整系统 /
- Chaplygin方程 /
- Lindel^Lf方程 /
- Vakonomic模型 /
- Chetaev模型
Abstract: Lindel^Lf's equation is derived by using the Vakonomic model,which shows that Lindel^Lf'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^Lf's equation, the reasonable transition from Chaplygin's equation to Lindel^Lf's equation is realized, the reasonable transition from Lindel^Lf'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^Lf's work and Chaplygin's work are complementary to each other too.
- non-holonomic system /
- Lindel^Lf’s equation /
- Chaplygin‘s equation /
- the Vakonomic model /
- Chetaev’s model

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参考文献(13)

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