变时滞反馈散料加工系统的参数设计  

Parameter design of bulk material machining system with variable delay feedback

作　　者：陈宁 张红兵[1] 李万祥[1] 李雄兵 CHEN Ning;ZHANG Hongbing;LI Wanxiang;LI Xiongbing(School of Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学机电工程学院,兰州730070

出　　处：《振动与冲击》2022年第6期229-235,280,共8页Journal of Vibration and Shock

摘　　要：为保证散料加工系统的稳定性,提出针对变时滞振动系统的参数设计方法。系统中物料堆积会影响生产速度和加工单元的质量,物料经过自由落体运动后对加工单元产生冲击,采用加工单元的沉降位移信号实现对物料供给速度的负反馈调节,形成变时滞反馈环节。首先根据系统的动力学微分方程,研究系统的静平衡稳定状态。然后利用系统发生Hopf分叉的条件,确定了能够保证系统稳定的刚度系数和阻尼系数的参数范围。最后利用SIMULINK软件仿真验证了理论分析,据此选择出的参数使得系统具备一定的抗干扰能力。利用分叉点的特征值特点,反推确定参数的可选择范围,可为变时滞类系统的参数设计提供参考方法。A parameter design method for variable time-delay vibration system was proposed to ensure the stability of bulk machining system.In this system the materials accumulation affects producing speed and processing unit weight,the material impacted the processing unit after free falling,the settlement displacement signal of the processing unit was used to complete the negative feedback regulation of the material supply speed and a variable time delay feedback link was formed.Firstly,the static equilibrium and stability of the system was studied according to the dynamic differential equation of the system.Then,the parameters range of stiffness coefficient and damping coefficient which can ensure the stability of the system was solved by using the condition of Hopf bifurcation.Finally,the theoretical analysis was verified with SIMULINK simulation,and the selected parameters providethe system with certain anti-interference ability.Using the eigenvalue characteristics of bifurcation points to determine the selectable range of parameters could provide a reference method for the parameter design of variable time-delay systems.

关 键 词：变时滞 反馈控制 振动 HOPF分叉 参数设计 

分 类 号：O322[理学—一般力学与力学基础]