摘要
研究了非完整力学系统相对运动的稳定性.首先,建立了系统的受扰运动微分方程,进而推导了系统的能量变化方程;其次,基于能量变化方程,给出了非完整力学系统相对运动的稳定性的一个判据;最后,举例说明结果的应用.
The stability of relative motion for mechanical systems with nonholonomic constraints was studied.First,the disturbed differential equations of motion of the systems were established,and the equation of variation of energy for the systems was deduced.Second,a criterion of the stability of relative motion for the nonholonomic mechanical systems was obtained by using the equation of variation of energy.And finally,an example was given to illustrate the application of the results.
出处
《动力学与控制学报》
2010年第2期105-108,共4页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(10972151)
江苏省高校自然科学基金资助项目(08KJB130002)~~
关键词
非完整系统
相对运动
稳定性
能量变化方程
nonholonomic system
relative motion
stability
the equation of variation of energy
