摘要
在做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。将活塞做与动系运动速度相同的恒速运动时的稳定性问题转化为系统在动参考系中静止平衡点处的稳定性问题;并用平衡点处因系统动态分岔特性出现的极限环反映系统的"爬行"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。基于上述结果对如何合理设置油缸背压来抑制爬行进行了讨论。
The differential equation was established in translational moving coordinates for researching the stability of a hydraulic cylinder at low velocity. The stability problems of a piston moving at the same constant velocity as that of the new reference frame were transformed into the stability analysis of the system at the stationary point, and the "limit cycle" coursed by "Hopf bifurcation" at the stationary point was used to reflect the "creep phenomenon" of the piston. The result indicates that the stability of the hydraulic cylinder at low velocity is decided by the damping coefficient and the derivative of dry friction function to velocity f' (v0). According to the analysis result, the reasonable backpressure to restrain the piston creep was discussed.
出处
《机床与液压》
北大核心
2009年第8期88-90,共3页
Machine Tool & Hydraulics
关键词
分岔
稳定性
干摩擦
背压
Bifurcation
Stability
Dry-friction
Backpressure