滚珠丝杠进给系统仿真建模  

Simulation modeling of a ball screw feed drive system

作　　者：王永强[1] 张承瑞[1] 

机构地区：[1]山东大学机械工程学院,济南250061

出　　处：《振动与冲击》2013年第3期46-49,55,共5页Journal of Vibration and Shock

基　　金：国家重点基础研究发展计划资助(2009CB724406)

摘　　要：为在设计阶段获得滚珠丝杠进给系统相对精确的二阶数学模型,提出基于Lyapunov稳定性理论建立模型参考自适应系统,以二阶系统为参考模型,以理论模型为控制对象的仿真建模方法。结合实例,建立考虑粘性摩擦和传动刚度的滚珠丝杠进给系统理论模型,运用MATLAB/Simulink建立模型参考自适应系统仿真模型,并用仿真结果推导出进给系统二阶数学模型。结果表明:二阶模型的输出能很好地跟踪理论模型输出;对两模型输入1ms单位脉冲信号时,相对误差在0.314%以内。In order to obtain a relatively accurate second-order mathematical model of a ball screw feed drive system in design stage, a simulation modeling method was proposed to establish a model reference adaptive system based on Lyapunov stability theory with a second-order system as a reference model and the theoretical model as a controlled object. A mechanical model for the ball-screw feed drive system was established with consideration of viscous friction and transmission stiffness, a simulation model of the model reference adaptive system was constructed using MATLAB/ Simulink, and a second-order methematical model of the feed drive system was deduced from the simulation results of case study. The results indicated that the output of the second-order model can perfectly track that of the theoretical model, and the relative error between the results of the two models is within 0. 314% when 1 ms pulse signal imposes at the same time.

关 键 词：滚珠丝杠 进给系统 仿真建模 LYAPUNOV稳定性理论 模型参考自适应系统 

分 类 号：TH113[机械工程—机械设计及理论] TP391.9[自动化与计算机技术—计算机应用技术]