雅可比旋量的装配体并联结构公差分析方法研究

戴宏玮; 陈琨; 于慧; 杜欣霏; 高建民; 高智勇

doi:10.7652/xjtuxb202205016

您当前的位置：

首页 >

文章列表页 >

雅可比旋量的装配体并联结构公差分析方法研究

更新时间：2025-07-09

- 雅可比旋量的装配体并联结构公差分析方法研究
- Tolerance Analysis of Partial Parallel Assemblies Based on Jacobian-Torsor Model
- 西安交通大学学报 2022年56卷第5期页码：156-165+222
- 作者机构：
  
  西安交通大学机械制造系统工程国家重点实验室,西安,710049
- 作者简介：
  
  : 2021-10-11。作者简介: 戴宏玮(1996—),男,硕士生
  陈琨(通信作者),男,副教授。基金项目: 国家重点研发计划资助项目(2019YFB1703800)
- 基金信息：
  
  : 2021-10-11。作者简介: 戴宏玮(1996—),男,硕士生;陈琨(通信作者),男,副教授。基金项目: 国家重点研发计划资助项目(2019YFB1703800)
- DOI：10.7652/xjtuxb202205016
  中图分类号： TH124
- 网络首发：2022-05-10，
  
  纸质出版：2022
- 稿件说明：
移动端阅览
戴宏玮, 陈琨, 于慧, 等. 雅可比旋量的装配体并联结构公差分析方法研究[J]. 西安交通大学学报, 2022,56(5):156-165+222.

DAI Hongwei, CHEN Kun, YU Hui, et al. Tolerance Analysis of Partial Parallel Assemblies Based on Jacobian-Torsor Model[J]. 2022, 56(5): 156-165+222.
戴宏玮, 陈琨, 于慧, 等. 雅可比旋量的装配体并联结构公差分析方法研究[J]. 西安交通大学学报, 2022,56(5):156-165+222. DOI： 10.7652/xjtuxb202205016.

DAI Hongwei, CHEN Kun, YU Hui, et al. Tolerance Analysis of Partial Parallel Assemblies Based on Jacobian-Torsor Model[J]. 2022, 56(5): 156-165+222. DOI： 10.7652/xjtuxb202205016.

摘要

针对使用雅可比旋量模型进行公差分析时

装配体局部并联结构累积公差难以计算的问题

提出了一种考虑配合表面接触状态的分步计算方法。该方法构建了局部并联结构的功能要求形成连接图

对装配结果的形成过程进行了描述

进一步建立了零部件的雅可比旋量模型

计算了配合表面在零部件坐标系下的变动旋量。设计了配合平面空间位置关系检测算法

保证了配合平面间正确的物理接触; 使用差分进化算法

以正确装配后被装配零部件重心最低为优化目标

计算了局部并联结构的公差累积结果。在充分利用设计信息的基础上

完成了含局部并联链的装配连接关系图向单一串联链的转化。以汽轮机通流间隙的建模和计算为例

验证所提方法的可行性。结果表明:所提方法对相关公差和配合信息进行了合理的平衡

能够显著提高模型的精确性和可靠性。

Abstract

In tolerance analysis of partial parallel assemblies based on the Jacobian-Torsor model

it is difficult to calculate their cumulative tolerance. To solve this problem

a calculation method of fractional steps is proposed in this paper. This method is used to establish functional requirements for these assemblies to produce connection diagrams

describe the process of generating the assembling results

create the Jacobian-Torsor model of parts and components

and calculate variable spinor of the mating surface in the coordinate system of the parts and components. Moreover

a detection algorithm for the spatial relationship of the mating surface is designed

correct physical contact of mating planes is ensured. To attain the optimization goal of the gravity center of assembled parts or components being the lowest

the differential evolution algorithm is used to calculate the cumulative tolerance of partial parallel assemblies design information is fully based to transform from a partial parallel chain to a single series chain in connection diagram. The feasibility of the proposed method is verified through modeling and calculation of steam turbine flow gap. The results show that the proposed method can balance the tolerance and fit information and significantly improve model accuracy and reliability.

关键词

Keywords

references

刘检华, 孙清超, 程晖, 等. 产品装配技术的研究现状、技术内涵及发展趋势 [J]. 机械工程学报, 2018, 54(11): 1-28.

LIU Jianhua, SUN Qingchao, CHENG Hui, et al. The state-of-the-art, connotation and developing trends of the products assembly technology [J]. Journal of Mechanical Engineering, 2018, 54(11): 1-28.

张嘉锟, 陈琨, 于慧, 等. 面向误差传递的复杂机械产品装配单元划分方法 [J]. 西安交通大学学报, 2021, 55(4): 86-94.

ZHANG Jiakun, CHEN Kun, YU Hui, et al. Assembly unit partitioning method of complex mechanical products for error propagation [J]. Journal of Xi'an Jiaotong University, 2021, 55(4): 86-94.

LAPERRIÈRE L, GHIE W, DESROCHERS A. Statistical and deterministic tolerance analysis and synthesis using a unified Jacobian-Torsor model [J]. CIRP Annals, 2002, 51(1): 417-420.

DESROCHERS A, GHIE W, LAPERRIÈRE L. Application of a unified Jacobian-Torsor model for tolerance analysis [J]. Journal of Computing and Information Science in Engineering, 2003, 3(1): 2-14.

CHEN Hua, JIN Sun, LI Zhimin, et al. A comprehensive study of three dimensional tolerance analysis methods [J]. Computer-Aided Design, 2014, 53: 1-13.

CHEN Hia, JIN Sun, LI Zhimin, et al. A solution of partial parallel connections for the unified Jacobian-Torsor model [J]. Mechanism and Machine Theory, 2015, 91: 39-49.

ZENG Wenhui, RAO Yunqing, WANG Peng, et al. A solution of worst-case tolerance analysis for partial parallel chains based on the unified Jacobian-Torsor model [J]. Precision Engineering, 2017, 47: 276-291.

JIN Sun, DING Siyi, LI Zhimin, et al. Point-based solution using Jacobian-Torsor theory into partial parallel chains for revolving components assembly [J]. Journal of Manufacturing Systems, 2018, 46: 46-58.

LIU Ting, ZHAO Qijian, CAO Yanlong, et al. A generic approach for analysis of mechanical assembly [J]. Precision Engineering, 2018, 54: 361-370.

刘婷. 基于肤面模型的装配误差分析方法研究 [D]. 杭州: 浙江大学, 2019.

LAPERRIÈRE L, LAFOND P. Modeling tolerances and dispersions of mechanical assemblies using virtual joints [C]∥ASME 1999 Design Engineering Technical Conferences. New York, NY, USA: ASME, 1999: 933-942.

DESROCHERS A. Modeling three dimensional tolerance zones using screw parameters [C]∥ASME 1999 Design Engineering Technical Conferences. New York, NY, USA: ASME, 1999: 895-903.

张为民, 陈灿, 李鹏忠, 等. 基于雅可比旋量法的实际工况公差建模 [J]. 计算机集成制造系统, 2011, 17(1): 77-83.

ZHANG Weimin, CHEN Can, LI Pengzhong, et al. Tolerance modeling in actual working condition based on Jacobian-Torsor theory [J]. Computer Integrated Manufacturing Systems, 2011, 17(1): 77-83.

陈华. 基于雅可比旋量模型的三维公差分析方法研究及在发动机装配中的应用 [D]. 上海: 上海交通大学, 2015.

GHIE W, LAPERRIÈRE L, DESROCHERS A. Statistical tolerance analysis using the unified Jacobian-Torsor model [J]. International Journal of Production Research, 2010, 48(15): 4609-4630.

CHEN Hua, JIN Sun, LI Zhimin, et al. A modified method of the unified Jacobian-Torsor model for tolerance analysis and allocation [J]. International Journal of Precision Engineering and Manufacturing, 2015, 16(8): 1789-1800.

林海盛. 汽轮机隔板装配质量预测及控制方法研究 [D]. 哈尔滨: 哈尔滨工业大学, 2020.

张庆科. 粒子群优化算法及差分进化算法研究 [D]. 济南: 山东大学, 2017.

VESTERSTROM J, THOMSEN R. A comparative study of differential evolution, particle swarm optimization, and evolutionary algorithms on numerical benchmark problems [C]∥Proceedings of the 2004 Congress on Evolutionary Computation(IEEE Cat. No.04TH8753). Piscataway, NJ, USA: IEEE, 2004: 1980-1987.

GUIGUE P, DEVILLERS O. Fast and robust triangle-triangle overlap test using orientation predicates [J]. Journal of Graphics Tools, 2003, 8(1): 39-52.

邹益胜, 丁国富, 何邕, 等. 空间三角形快速相交检测算法 [J]. 计算机应用研究, 2008, 25(10): 2906-2910.

ZOU Yisheng, DING Guofu, HE Yong, et al. Fast intersection algorithm between spatial triangles [J]. Application Research of Computers, 2008, 25(10): 2906-2910.

ERICSON C. Real-time collision detection [M]. San Francisco, USA: Morgan Kaufmann, 2005: 184-194.

张嘉锟, 陈琨, 高建民, 等. 汽轮机通流间隙精度预测与修配规划方法研究 [J]. 西安交通大学学报, 2021, 55(12): 87-97.

ZHANG Jiakun, CHEN Kun, GAO Jianmin, et al. Accuracy prediction and repair planning of steam turbine flow clearance [J]. Journal of Xi'an Jiaotong University, 2021, 55(12): 87-97.

吴常林, 黄美发, 程彬彬, 等. 基于雅可比旋量模型的装配体公差统计分析 [J]. 机械设计与研究, 2015, 31(6): 97-100.

WU Changlin, HUANG Meifa, CHENG Binbin, et al. Statistical tolerance analysis for assembly based on the Jacobian-Torsor model [J]. Machine Design Research, 2015, 31(6): 97-100.

吕程, 艾彦迪, 余治民. 蒙特卡罗与响应面法相结合的圆柱度公差模型求解 [J]. 西安交通大学学报, 2014, 48(7): 53-59.

LV Cheng, AI Yandi, YU Zhimin. Cylindricity tolerance model solution combining Monte Carlo simulation with response surface method [J]. Journal of Xi'an Jiaotong University, 2014, 48(7): 53-59.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

静态输出反馈多目标控制的求解方法

电子级超纯氮深冷空分流程节能优化研究

超临界水异常区域热力学特性研究

语义区分和子图整合驱动的知识图谱表示学习方法

EBSILON软件在热电联产系统优化中的应用综述