摘要
二自由度自激振荡系统中由摩擦引起的粘滑运动具有复杂性,其产生机理及调控方式有重要的学术和工程应用价值。重点探讨了二自由度自激振荡系统中阻尼对粘滑运动的影响,对摩擦的不连续性采取光滑连续处理,应用改进型Hénon算法对系统方程进行数值求解,并根据庞加莱图对系统运动状态和特性进行确认。研究发现:保持系统其他参数不变,由小到大调节阻尼,滑块的运动依次出现混沌粘滑、周期粘滑、周期滑动和阻滑4种状态;混沌粘滑-周期粘滑、周期粘滑-周期滑动为渐变过程,而周期滑动-阻滑为突变过程,其中突变行为对阻尼的变化相当敏感,当阻尼从2. 501变为2. 502时系统运动状态发生了临界转变。初步探明了阻尼对自激振荡系统运动状态和粘滑行为的作用规律,结果将为粘滑运动调控及阻尼自适应控制提供理论指导。
The friction-induced stick-slip motion in a 2-DOF self-excited oscillation system is complex,and its mechanism and control mode have important academic and engineering application values. The influence of damping on the stick-slip motion in the 2-DOF self-excited oscillation system is discussed,the discontinuity of friction is treated smoothly and continuously,the modified Hénon algorithm is used to solve the system equations numerically,and the system motion state and characteristics are confirmed according to Poincare diagram.It is found that,keeping the other parameters of the system unchanged and adjusting the damping from small to large,the motion of the sliding block presents chaotic stick-slip,periodic stick-slip,periodic slip and resistant slip in sequence. Chaotic stick-slip-periodic stick-slip and periodic stick-slip-periodic slip are all gradual processes,while periodic slip-slip is a jumping process,in which the jumping behavior is quite sensitive to the change of damping. When the damping changes from 2. 501 to 2. 502,the system motion state has a critical transition. The effect of damping on the state and stick-slip behavior of self-excited oscillation system is preliminarily proved. The results will provide theoretical guidance for the stick-slip motion regulation and adaptive damping control.
作者
唐昕
欧阳鸿武
雷刚
TANG Xin;OUYANG Hong-wu;LEI Gang(College of Mechanical and Electrical Engineering,Central South University,Changsha 410083,China;State Key Laboratory of High Performance Complex Manufacturing,Central South University,Changsha 410083,China)
出处
《测控技术》
2020年第5期59-64,共6页
Measurement & Control Technology
基金
国家自然科学基金项目(51475475)。
关键词
阻尼
粘滑运动
混沌行为
临界转变
Hénon算法
damping
stick-slip motion
chaotic behavior
critical transition
Hénon algorithm
