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滚珠丝杠等效刚度解析表达研究
引用本文:王曜宇,胡育佳.滚珠丝杠等效刚度解析表达研究[J].上海理工大学学报,2017,39(3):249-254.
作者姓名:王曜宇  胡育佳
作者单位:上海理工大学 机械工程学院, 上海 200093,上海理工大学 机械工程学院, 上海 200093
摘    要:为了得到精准的滚珠丝杠等效抗拉及抗扭刚度的计算公式,对一种丝杠刚度的计算方法进行了研究.通过理论推导、数值仿真和基于修正的二维对数正态分布的密度函数拟合得到了考虑不同参数的滚珠丝杠的抗弯和抗拉刚度的解析表达式.对比公式计算结果和有限元仿真结果,可以发现本文的刚度表达公式具有更强的通用性和计算精度.

关 键 词:滚珠丝杠  刚度  对数正态分布
收稿时间:2016/9/29 0:00:00

Analytical Expressions for the Equivalent Stiffnesses of Ball Screws
WANG Yaoyu and HU Yujia.Analytical Expressions for the Equivalent Stiffnesses of Ball Screws[J].Journal of University of Shanghai For Science and Technology,2017,39(3):249-254.
Authors:WANG Yaoyu and HU Yujia
Institution:School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China and School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
Abstract:To obtain the analytical expressions for a ball screw''s axial and torsional stiffnesses and guarantee their high precision,a new method was proposed to calculate the ball screw''s stiffnesses.Using the theoretical derivation,the finite element method analysis and the fitting of a modified density function with lognormal distribution,the analytical expressions of stiffnesses considering different parameters were provided.Comparing the data obtained by the expressions with the finite element method results,it is shown that the expressions proposed are of much better generality and accuracy.
Keywords:ball screw  stiffnesses  lognormal distribution
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