摘要
本文提出并研究基于非标准Lagrange指数函数和非标准Lagrange幂函数下非完整系统的广义Chaplygin方程.给出基于非标准Lagrange函数下非完整系统动力学的微分变分原理,建立相应非标准Lagrange函数下动力学系统受线性非完整约束和非线性非完整约束下的广义Chaplygin方程.并举例说明结果的应用.
In this paper,the generalized Chaplygin equations for nonholonomic systems with the nonstandard exponential Lagrangian and nonstandard power-law Lagrangian are presented and discussed.The differential variational principle of the nonholonomic systems with two kinds of nonstandard exponential Lagrangian are given,and the generalized Chaplygin equations for the corresponding dynamic systems with nonstandard Lagrangian under the linear and nonlinear nonholonomic constraints are established.Several examples are given to illustrate the applications of the results.
作者
金世欣
李彦敏
JIN Shixin;LI Yanmin(School of Mathematics and Statistics,Shangqiu Normal University,Shangqiu 476000,Henan,China;School of Physics and Information Engineering,Shangqiu Normal University,Shangqiu 476000,Henan,China)
出处
《力学季刊》
CAS
CSCD
北大核心
2023年第2期353-361,共9页
Chinese Quarterly of Mechanics
基金
国家自然科学基金(12102241)
河南省高等学校重点科研基金(20A130003)。
