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直线电机滑台的空间位置精度研究
陈浩,安琦
作者单位E-mail
陈浩 华东理工大学机械与动力工程学院 ch409655138@126.com 
安琦 华东理工大学机械与动力工程学院 anqi@ecust.edu.cn 
摘要:
本文通过力学建模,分析了直线电机滑台机构在外载荷的作用下的位移同滚珠变形的关系,并基于赫兹接触公式,得到了滑台空间位置精度的计算模型。通过该计算模型分析了滑台的质量和质心位置、工件的质量和安装位置、电枢的安装高度、滑台的加速度以及滚珠的预压变形对滑台的空间位置精度的影响。发现如下:当工件的质量不大时,工件的质量和安装位置对滑台的空间位置精度的影响规律与滑台的质量和质心位置的影响规律相同,即滑台随着工件安装位置或滑台质心位置的偏移在偏移的方向上线性移动,随着工件或滑台质量的增大在空间三个方向上线性移动;当工件质量较大时,滑台的空间位置变化随着工件质量的增加呈现出非线性特点;当电枢安装高度与滑台质心高度不一致且滑台加速时,滑台在加速的反方向上发生与加速度成比例的线性移动且两者相距越远,比例系数就越大;增大滚珠预压变形可提高滑台的空间位置精度但也会增大滚珠的最大接触应力。
关键词:  直线电机滑台  空间位置精度  滑台质心位置  工件安装位置  动子安装高度  加速度  
DOI:
分类号:TH115
基金项目:上海市设计学 IV 类高峰学科项目
Research on Space Position Accuracy of a Linear-motor Rolling–guide Stage
Chen Hao,AN Qi
Abstract:
In this paper, the relationship between the deformation of balls and the displacement of linear-motor rolling-guide stage under external loads is analyzed by mechanical modelling and the calculating model of space position accuracy of the stage is established on the basis of Hertz contact formula. By using the calculating model the influences of the mass and the barycenter position of stage, installation position and mass of workpiece, installation height of armature, acceleration of stage and preloading deformation of balls on the space position accuracy of the stage are studied. The findings are as follows: when the mass of workpiece is small the effect of the mass and installation positon of the workpiece on the space position of stage is same as the effect of the mass and barycenter of stage itself, that is the stage moves linearly in the same direction with the increasing of the deviation of the installation positon of workpiece or the barycenter position of stage and moves linearly in three directions of space with the increasing of mass of workpiece or stage itself; when the mass of workpiece is large the space position of stage will change nonlinearly with the increasing of mass of workpiece; when the installation height of armature is not the same as the height of barycenter of stage, it moves linearly in the opposite direction with acceleration increasing and the farther the distance of the two is, the greater the proportionality coefficient becomes; Increasing the preloading deformation of balls can improve the space position accuracy of stage but also increase the balls’ maximum contact stress.
Key words:  linear-motor rolling-guide stage  space position accuracy  barycenter position  installation position of workpiece  installation height of mover  acceleration  

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