均化接触应力的双线性材料刚度优化设计

doi:10.3901/JME.2022.01.212

机械工程学报 ›› 2022, Vol. 58 ›› Issue (1): 212-220.doi: 10.3901/JME.2022.01.212

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均化接触应力的双线性材料刚度优化设计

周意葱^1,2, 林起崟^1,2, 张宁静^1,2, 洪军^1,2, 杨楠^1,2

1. 西安交通大学机械工程学院西安 710049;
2. 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

收稿日期:2021-02-02 修回日期:2021-06-07 出版日期:2022-01-05 发布日期:2022-03-19
通讯作者: 林起崟(通信作者),男,1987年出生,博士,副教授,博士研究生导师。主要研究方向为机械功能表面及结构智能设计与制造。E-mail:linqiyin@xjtu.edu.cn
作者简介:周意葱,男,1998年出生,博士研究生。主要研究方向为高性能装配连接界面设计。E-mail:zhouyicongxfjy@stu.xjtu.edu.cn
基金资助:
国家自然科学基金（51975457，51635010）和中国博士后科学基金（2019M653591）资助项目。

Optimization Design of Bilinear Material Stiffness for Contact Stress Homogenization

ZHOU Yicong^1,2, LIN Qiyin^1,2, ZHANG Ningjing^1,2, HONG Jun^1,2, YANG Nan^1,2

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

Received:2021-02-02 Revised:2021-06-07 Online:2022-01-05 Published:2022-03-19

摘要/Abstract

摘要： 装配连接界面是承载和保障机械装备实现既定功能的载体，其连接界面接触应力分布均匀性是影响机械装备磨损、疲劳、裂纹的关键因素，对机械装备高性能服役具有“锚定”作用。为改善连接界面接触应力分布均匀性，开展了材料刚度优化设计研究。首先，以接触应力方差为目标函数，以弹性模量为设计变量，基于渐进优化原理，构建了一种材料刚度优化设计方法。然后，分别针对有无摩擦工况下两个典型接触问题开展了材料刚度优化设计。结果表明，材料刚度优化可大幅降低接触应力方差，验证了本方法在提升连接界面接触应力分布均匀性上的有效性。进一步研究不同问题、不同摩擦因数取值下摩擦行为对优化结果的影响，发现摩擦行为的影响程度大小与问题边界、约束等情况密切相关。

关键词: 装配连接界面, 接触应力, 分布均匀性, 材料刚度优化设计, 摩擦行为影响

Abstract: Assembly contact interface is a carrier that can guarantee the realization of the specified functions of the mechanical equipment. The uniformity of the contact stress distribution, as the key factor affecting the wear, fatigue and crack of the mechanical equipment, plays a decisive role on the high performance of the mechanical equipment. With the purpose of homogenizing the contact stress field, a material stiffness optimization design is investigated. The variance of the contact stress is defined as the objective function and the Yong's modulus is treated as the design variable. Firstly, a material stiffness optimization method is developed based on the evolutionary optimization techniques. Then, two typical contact problems with or without friction are investigated. The results show that after the proposed material stiffness optimization, the variance of the contact stress could be reduced significantly, which verifies the effectiveness of the proposed material stiffness optimization method on improving the uniformity of the contact stress distribution. Moreover, based on these two contact problems, the friction behavior is introduced and analyzed. It is find that with various friction coefficients, the influences of friction behavior on the optimization results are closely related to the boundary and constraints of the problem.

Key words: assembly interface, contact stress, distributing uniformity, material stiffness design, effects of friction behavior

中图分类号:

TG156

周意葱, 林起崟, 张宁静, 洪军, 杨楠. 均化接触应力的双线性材料刚度优化设计[J]. 机械工程学报, 2022, 58(1): 212-220.

ZHOU Yicong, LIN Qiyin, ZHANG Ningjing, HONG Jun, YANG Nan. Optimization Design of Bilinear Material Stiffness for Contact Stress Homogenization[J]. Journal of Mechanical Engineering, 2022, 58(1): 212-220.

参考文献

[1] 张学良. 机械结合面动态特性及应用[M]. 北京:中国科学技术出版社,2002. ZHANG Xueliang. The dynamic characteristics of machine joint surfaces and its application[M]. Beijing:China Science and Technology Press,2002.
[2] 赵宏林,丁庆新,曾鸣,等. 机床结合部特性的理论解析及应用[J]. 机械工程学报,2008,44(12):208-214. ZHAO Honglin,DIN Qingxin,ZENG Ming,et a1. Theoretic analysis on and application of behaviors ofmachine tool joints[J]. Journal of Mechanical Engineering,2008,44(12):208-214.
[3] IYER K,RUBIN C A,HAHN G T. Influence of interference and clamping on fretting fatigue in single rivet-row lap joints[J]. Journal of Tribology,2001,123(4):686-698.
[4] CONRY,A.SEIREG T F. A mathematical programming method for design of elastic bodies in contact[J]. Journal of Applied Mechanics,1971,38(2):387-392.
[5] LI W,LI Q,STEVEN G P,et al. An evolutionary shape optimization procedure for contact problems in mechanical designs[J]. Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science,2003,217(4):435-446.
[6] LI W,LI Q,STEVEN G P,et al. An evolutionary shape optimization for elastic contact problems subject to multiple load cases[J]. Computer Methods in Applied Mechanics and Engineering,2005,194(30/33):3394-3415.
[7] MYSLINSKI A. Level set method for optimization of contact problems[J]. Engineering Analysis with Boundary Elements,2008,32(11):986-994.
[8] PEDERSEN N L. On optimization of interference fit assembly[J]. Structural and Multidisciplinary Optimization,2016,54(2):349-359.
[9] OU H,LU B,CUI Z S,et al. A direct shape optimization approach for contact problems with boundary stress concentration[J]. Journal of Mechanical Science and Technology,2013,27(9):2751-2759.
[10] 侯亦非,洪军,周朝宾,等. 均化接触压力的螺栓连接结合面形状主动设计[J]. 西安交通大学学报,2017,51(12):84-90. HOU Yifei,HONG Jun,ZHOU Chaobin,et al. Optimization design for bolted joint surface shape by contact pressure homogenization[J]. Journal of Xi'an Jiaotong University,2017,51(12):84-90.
[11] MYŚLIŃSKI A. Piecewise constant level set method for topology optimization of unilateral contact problems[J]. Advances in Engineering Software,2015,80:25-32.
[12] MYŚLIŃSKI A,WRÓBLEWSKI M. Structural optimization of contact problems using Cahn-Hilliard model[J]. Computers & Structures,2017,180:52-59.
[13] NIU C,ZHANG W H,GAO T. Topology optimization of continuum structures for the uniformity of contact pressures[J]. Structural and Multidisciplinary Optimization,2019,60(1):185-210.
[14] NIU C,ZHANG W,GAO T. Topology optimization of elastic contact problems with friction using efficient adjoint sensitivity analysis with load increment reduction[J]. Computers & Structures,2020,238:106296.
[15] LIN Q Y,YANG N,HONG J,et al. An optimization design of contact interface material stiffness for improving the uniformity of the contact pressure[J]. Journal of Tribology-Transactions of the ASME,2020,142(6):1-18.
[16] JOHNSON K L. Contact mechanics[M]. Cambridge:Cambridge University Press,1987.
[17] 姚振强,LAWRENCE Y Y,王飞,等. 先进激光制造技术研究新进展[J]. 机械工程学报,2003,39(12):57-61. YAO Zhenqiang,LAWRENCE Y Y,Wang Fei,et al. Progress in advanced laser assisted manufacturing technology[J]. Chinese Journal of Mechanical Engineering,2003,39(12):57-61.
[18] ZHU Y. Progresses on research and application of metal ultrasonic surface enhancement technologies[J]. Journal of Mechanical Engineering,2014,50(20):35-45.
[19] CRAMER A D,CHALLIS V J,ROBERTS A P. Microstructure interpolation for macroscopic design[J]. Structural and Multidisciplinary Optimization,2015,53(3):489-500.
[20] MAHAMOOD R M,AKINLABI E T. Additive manufacturing of functionally graded materials[M]. New York:Springer International Publishing,2017.
[21] COLLINS JA B H,STAAB GH. Mechanical design of machine elements and machines:A failure prevention perspective[M]. 2nd. Hoboken:John Wiley & Sons,2010.

均化接触应力的双线性材料刚度优化设计

Optimization Design of Bilinear Material Stiffness for Contact Stress Homogenization

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