Sensitivity and Reliability Analysis of Axial Contact Static Stiffness of Plate Preloaded Double-nut Ball Screw Pair

Wei Zongping

doi:10.16578/j.issn.1004.2539.2017.11.009

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Sensitivity and Reliability Analysis of Axial Contact Static Stiffness of Plate Preloaded Double-nut Ball Screw Pair

更新时间：2022-10-20

- Sensitivity and Reliability Analysis of Axial Contact Static Stiffness of Plate Preloaded Double-nut Ball Screw Pair
- Vol. 41, Issue 11, Pages: 45-49(2017)
- 作者机构：
  
  1. 宝鸡文理学院机械工程学院
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2017.11.009
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[1]魏宗平.双螺母垫片预紧式滚珠丝杠副轴向接触静刚度灵敏度与可靠性分析[J].机械传动,2017,41(11):45-49+147.

Wei Zongping. Sensitivity and Reliability Analysis of Axial Contact Static Stiffness of Plate Preloaded Double-nut Ball Screw Pair. [J]. 41(11):45-49(2017)
[1]魏宗平.双螺母垫片预紧式滚珠丝杠副轴向接触静刚度灵敏度与可靠性分析[J].机械传动,2017,41(11):45-49+147. DOI： 10.16578/j.issn.1004.2539.2017.11.009.

Wei Zongping. Sensitivity and Reliability Analysis of Axial Contact Static Stiffness of Plate Preloaded Double-nut Ball Screw Pair. [J]. 41(11):45-49(2017) DOI： 10.16578/j.issn.1004.2539.2017.11.009.

摘要

滚珠丝杠副接触静刚度可靠性分析中存在许多不确定参数,对其不确定性建模、可靠性分析和分析参数的变化对刚度的影响等具有重要工程意义。传统的评估滚珠丝杠副静刚度可靠性时,通常假定结构参数和材料性能参数等为随机变量,但是工程实际中往往由于数据信息缺乏,很多情况难以给出分布参数的精确值。因此,将双螺母垫片预紧式滚珠丝杠副有关的结构参数的误差或不确定性利用区间模型来描述,基于赫兹接触理论,建立双螺母垫片预紧式滚珠丝杠副轴向接触弹性变形区间模型,提出双螺母垫片预紧式滚珠丝杠副轴向接触变形灵敏度分析区间方法,并依据滚珠丝杠副接触静刚度失效准则,建立起双螺母垫片预紧式滚珠丝杠副轴向接触静刚度非概率可靠性模型。通过工程实例计算,评估了其接触刚度的可靠性,分析了各结构参数及载荷的变化时滚珠丝杠副轴向接触变形的灵敏度,说明了该方法的合理性和有效性。

Abstract

The uncertainty modeling and reliability analysis and the influence on contact static stiffness for ball screw pair with a large number inherently uncertain parameters are very important in engineering. Considering uncertainty of structural parameters and applied loads of ball screw pair,when evaluating the reliability of ball screw pair through traditional methods,structural parameters and applied loads of ball screw pair are supposed to random variables,but the accurate value of distribution parameters can hardly be known in practical engineering. The uncertain parameters and errors of ball screw pair and the load applied and so on are described as interval variables. A contact deformation interval model and an interval method for sensitivity analysis of plate preloaded double-nut ball screw pair are put forward based on Hertz contact theory. According to the contact static stiffness failure criterion of ball screw,a non-probability reliability model of plate preloaded double-nut ball screw pair is established based on interval model. A numerical example has been used to illustrate the proposed method. The result shows that the proposed method is feasible and reasonable and practicable for the contact static stiffness reliability analysis and sensitivity analysis of plate preloaded double-nut ball screw pair.

关键词

滚珠丝杠副轴向接触刚度灵敏度分析非概率可靠性

Keywords

Ball screw pairAxial contact stiffnessSensitivity analysisNon-probabilistic reliability

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