摘要
在作匀速平动的动参考系中建立液压缸的运动微分方程,研究液压缸低速运行时的稳定性问题。因为在动参考系中讨论问题,活塞作与动系运动速度相同的恒速运动时的稳定性,转化为系统在动参考系中静止平衡点处的稳定性问题;而平衡点处因系统动态分岔特性出现的极限环,正反映系统出现“爬行”的特性。分析表明,系统低速运行的稳定性取决于阻尼系数C与干摩擦力曲线对速度的导数f'(v0)的相对大小。文中还利用MATLAB软件进行了仿真。
Take the advantage of translational coordinates, the differential equation has been established for researching the stability of a piston moving in hydraulic vat at low velocity. In the new reference frame, the stability problems of piston moving at low speed are transformed into the characteristics of stability at the system＇s stationary point; the ＂Hopf bifurcation＂ at the stationary point just right homologize the ＂creep phenomenon＂ of the piston. As a result, it indicates that the stability of the system moving at low speed is decided by the relative size between damping coefficient C and the derivative of the dry fraction function f（v0）. Simulation also be taken by using the ＂MATLAB＂.
出处
《机械》
2007年第6期14-17,共4页
Machinery
关键词
分岔
稳定性
干摩擦
仿真
bifurcation
stability
dry-fraction
simulation
