基于连杆机构旋转法则的平面单环闭链结构装配误差不确定性分析

doi:10.3901/JME.2018.11.029

机械工程学报 ›› 2018, Vol. 54 ›› Issue (11): 29-38.doi: 10.3901/JME.2018.11.029

基于连杆机构旋转法则的平面单环闭链结构装配误差不确定性分析

赵强强^1,2, 郭俊康^1,2, 洪军^1,2

1. 西安交通大学现代设计及转子轴承系统教育部重点实验室西安 710049;
2. 西安交通大学机械制造系统工程国家重点实验室西安 710054

收稿日期:2017-06-18 修回日期:2017-12-14 出版日期:2018-06-05 发布日期:2018-06-05
通讯作者: 郭俊康(通信作者),男,1984年出生,博士,助理研究员。主要研究方向为机械系统精度设计、精密机械装配质量保障、数字化装配技术等。E-mail:guojunkang@139.com
作者简介:赵强强,男,1992年出生,博士研究生。主要研究方向为并联机构装配精度与运动精度分析建模、多环闭链可展机构展开可靠性分析等。E-mail:zhaoqiangqiang@stu.xjtu.edu.cn
基金资助:
国家自然科学基金重点资助项目（51635010）。

Uncertainty Analysis of Assembly Error of Planar Single-loop Mechanisms Based on the Rotatability Laws of Linkages

ZHAO Qiangqiang^1,2, GUO Junkang^1,2, HONG Jun^1,2

1. Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049;
2. State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an 710054

Received:2017-06-18 Revised:2017-12-14 Online:2018-06-05 Published:2018-06-05

摘要/Abstract

摘要： 影响平面单环闭链结构装配精度的主要误差源有杆件加工偏差、装配约束误差以及铰链间隙。而铰链间隙的随机性导致平面单环闭链结构装配误差具有不确定性。为了能够实现装配精度预测和获得装配误差边界，通过分析平面单环四杆结构装配特点，提出单杆件固定和双杆件连接两种装配单元，并建立两种单元的误差模型。在此基础上，完成了无间隙平面单环闭链结构装配误差建模。然后通过引入连杆机构旋转法则，以虚拟杆件表征铰链间隙并将其视为"短杆"，从而基于杆件旋转不变性建立了考虑间隙的平面单环闭链结构装配误差不确定性分析模型，并给出了装配误差边界计算方法。最后以平面五杆单环结构作为数值案例，验证了所提出方法与模型的可行性与实用性。

关键词: 平面单环结构, 旋转法则, 装配单元, 装配误差

Abstract: The link deviation, assembly constraint error and joint clearance are the major error sources, which affect the assembly accuracy of planar single-closed-loop mechanisms. However, the randomness of joint clearance results in the accuracy uncertainty of the planar single-closed-loop mechanism. In order to predict the assembly accuracy and obtain the error bound, two assembly components, single-fixed link and two-connected link, are proposed and their error models are established by analyzing the assembly property of a planar four-bar single-loop mechanism. And accordingly, the error modeling of assembly error of the single-loop mechanism without considering joint clearance is firstly completed. Then the uncertainty analysis model of assembly error of the planar single-loop mechanism is built by introducing the rotatability law of the linkage, in which the joint clearance is regarded as a ‘short link’. In addition, the method of calculating the bound of assembly error is given. At last, the feasibility and utility of the method proposed above are verified by a numerical example of the planar five-bar single-loop mechanism.

Key words: assembly component, assembly deviation, planar single-loop mechanism, rotatability laws

中图分类号:

TG156

赵强强, 郭俊康, 洪军. 基于连杆机构旋转法则的平面单环闭链结构装配误差不确定性分析[J]. 机械工程学报, 2018, 54(11): 29-38.

ZHAO Qiangqiang, GUO Junkang, HONG Jun. Uncertainty Analysis of Assembly Error of Planar Single-loop Mechanisms Based on the Rotatability Laws of Linkages[J]. Journal of Mechanical Engineering, 2018, 54(11): 29-38.

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基于连杆机构旋转法则的平面单环闭链结构装配误差不确定性分析

Uncertainty Analysis of Assembly Error of Planar Single-loop Mechanisms Based on the Rotatability Laws of Linkages

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