基于偏微分方程的高速滚动轴承振动控制系统设计  

Design of High Speed Rolling Bearing Vibration Control System Based on Partial Differential Equation

作　　者：郭元春 GUO Yuanchun(Foundamental Department,Xi'an Siyuan University,Xi'an 710038,China)

机构地区：[1]西安思源学院基础部,西安710038

出　　处：《计算机测量与控制》2025年第4期115-122,共8页Computer Measurement &Control

摘　　要：振动行为是导致高速滚动轴承出现谐振位移的主要原因,而谐振位移过于明显则会使轴承敏感性下降,从而影响机械元件的回转精度;为有效抑制轴承谐振位移,设计基于偏微分方程的高速滚动轴承振动控制系统;按需连接滚动轴承振动换能器、轴承振幅控制电路与滚动速率计量装置,完成高速滚动轴承振动控制系统的硬件模块设计;设置偏微分界域,计算偏微分方程数值解,完成偏微分方程表达式的定义,再通过离散化振动信号的方式,确定振动信号参数的数值范围,实现基于偏微分方程的高速滚动轴承振动信号参数求解;搭建前馈补偿控制器模型,完善振动行为的补偿控制算法,以实现对控制向量的容错处理,对轴承振动行为进行补偿性控制,联合硬件模块,完成高速滚动轴承振动控制系统设计;实验结果表明,该控制系统的应用可将高速滚动轴承的谐振位移控制在0~0.5mm内,不会因明显振动问题使轴承敏感性下降,故机械元件的回转精度能够得到保障。Vibration behavior is main reason of resonance displacement in high-speed rolling bearings,and significant resonance displacement will reduce the sensitivity of bearings,thus affecting the rotary accuracy of mechanical components.In order to effectively suppress the resonance displacement of bearings,a vibration control system for high-speed rolling bearings based on partial differential equations is designed.Connect the vibration transducer of rolling bearing,bearing amplitude control circuit and rolling rate metering device as needed to complete the hardware module design of high-speed rolling bearing vibration control system.Set the partial differential boundary,calculate the numerical solution of the partial differential equation,complete the definition of the partial differential equation,and then determine the numerical range of the vibration signal parameters by discretizing the vibration signal,so as to achieve the vibration signal parameters of the high-speed rolling bearing based on the partial differential equation.Establish the feedforward compensation controller model,and improve the compensation control algorithm of vibration behavior,so as to achieve the fault-tolerant treatment of control vectors,compensate the control of bearing vibration,and combine hardware modules to complete the design of vibration control system for high-speed rolling bearings.Experimental results show that the control system can control the resonant displacement of high-speed rolling bearing within the range of 0~0.5 mm,and the bearing sensitivity will not decrease due to its vibration,ensuring the rotary accuracy of mechanical components.

关 键 词：偏微分方程 高速滚动轴承 振动控制 偏微分界域 前馈补偿控制器 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]