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

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的数值范围之内,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。

Abstract:

Vibration behavior is the main cause of resonant displacement in high-speed rolling bearings, and excessive resonant displacement can reduce bearing sensitivity, thereby affecting the rotational accuracy of mechanical components. To effectively suppress bearing resonance displacement, a high-speed rolling bearing vibration control system based on partial differential equations is designed. Connect the vibration transducer of the rolling bearing, the bearing amplitude control circuit, and the rolling speed measurement device as needed to complete the hardware module design of the high-speed rolling bearing vibration control system. Set a partial differential boundary domain, calculate the numerical solution of the partial differential equation, define the expression of the partial differential equation, and then determine the numerical range of the vibration signal parameters through discretization of the vibration signal, achieving the solution of the vibration signal parameters of high-speed rolling bearings based on the partial differential equation. Build a feedforward compensation controller model, improve the compensation control algorithm for vibration behavior, achieve fault-tolerant processing of control vectors, perform compensatory control on bearing vibration behavior, and combine hardware modules to complete the design of high-speed rolling bearing vibration control system. The experimental results show that the application of this control system can control the resonant displacement of high-speed rolling bearings within the numerical range of 0-0.5mm, without causing a decrease in bearing sensitivity due to obvious vibration problems. Therefore, the rotational accuracy of mechanical components can be guaranteed.