Please wait a minute...
Chinese Journal of Engineering Design  2017, Vol. 24 Issue (2): 232-240    DOI: 10.3785/j.issn.1006-754X.2017.02.016
    
Optimization design of H-type relieving cam based on PMOPSO method
LIANG Song, ZHANG Yi-min, HU Peng
Mechanical Reliability and Dynamics Research Center, School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
Download: HTML     PDF(3385KB)
Export: BibTeX | EndNote (RIS)      

Abstract  

A standard design approach which is used for the multi-rise H-type cam optimization design is proposed. Aiming at the severe shocking problems of traditional relieving cams during the transient process,the relieving cam design scheme based on motion law of H-type cam followers was proposed. Taking the cam area as the object function and the follower offset and initial displacement as the design variables, H-type relieving cam optimization design model which considered the constrains included the range of theoretical cam surface curvature and the distribution of pressure was proposed based on general design criterions. The optimization problem was featured by multi-constraints, high nonlinear and intensive computation. PMOPSO (polynomial mutation operator particle swarm optimization) method combined polynomial mutation operator and standard PSO method was proposed. By means of PMOPSO method and constraint-handlings of penalty function, the 3-rise and 4-rise H-type relieving cam optimization problems were solved separately. The results showed that the approach was able to decrease the working profile area of multi-rise H-type cam significantly. Meanwhile, the shovel mechanism was more compact.



Key wordsrelieving cam      polynomial mutation operator      particle swarm optimization     
Published: 28 April 2017
CLC:  TH112.2  
Cite this article:

LIANG Song, ZHANG Yi-min, HU Peng. Optimization design of H-type relieving cam based on PMOPSO method. Chinese Journal of Engineering Design, 2017, 24(2): 232-240.

URL:

https://www.zjujournals.com/gcsjxb/10.3785/j.issn.1006-754X.2017.02.016     OR     https://www.zjujournals.com/gcsjxb/Y2017/V24/I2/232


基于PMOPSO方法的H型铲齿凸轮优化设计

给出一种H型铲齿凸轮的标准设计方法,用于解决多升程H型铲齿凸轮的优化设计问题。针对传统铲齿凸轮存在的过渡点冲击问题,提出基于H型凸轮从动件运动规律的铲齿凸轮设计方案。以凸轮面积为设计目标函数,以从动件的偏置量和初始位移为设计变量,在凸轮一般设计准则的基础上,考虑理论廓线曲率范围和压力角分布的约束条件,建立H型铲齿凸轮的优化设计模型。多升程H型铲齿凸轮的优化设计问题具有约束条件多、非线性强和计算复杂度高的特点,将多项式变异算子和标准粒子群优化结合,提出多项式变异粒子群优化方法。以此优化方法为基础,通过构造罚函数处理设计约束,分别求解三升程和四升程的H型铲齿凸轮优化设计问题。计算结果表明,提出的标准设计方法可显著降低多升程H型铲齿凸轮的工作轮廓面积,使铲削机构更加紧凑。


关键词: 铲齿凸轮,  多项式变异算子,  粒子群优化 
[[1]]   李文辉. 盘形凸轮机构按体积最小的优化设计[J]. 组合机床与自动化加工技术,1992(6):22-25,21. LI Wen-hui. Disk cam mechanism optimization design for volume minimization[J]. Modular Machine Tool & Automatic Manufacturing Technique, 1992(6):22-25, 21.
[[2]]   ANGELES J, LóPEZ-CAJúN C. Solid mechanics and its applications[M]. Amsterdam: Springer Netherlands, 1991: 112-152.
[[3]]   NAVARRO O, WU C J, ANGELES J. The size-minimization of planar cam mechanisms[J]. Mechanism and Machine Theory, 2001, 36(3): 371-386.
[[4]]   FLORES P. Cam size optimization of disc cam-follower mechanisms with translating roller followers[C]//PISLA D, CECCARELLI M, HUSTY M, et al. New Trends in Mechanism Science. Amsterdam: Springer Netherlands, 2010: 225-233.
[[5]]   FLORES P. A Computational approach for cam size optimization of disc cam-follower mechanisms with translating roller followers[J]. Journal of Mechanisms Robotics, 2013, 5(4): 041010.
[[6]]   BRAVO R H, FLOCKER F W. Optimizing cam profiles using the particle swarm technique[J]. Journal of Mechanical Design, 2011, 133(9): 091003.
[[7]]   FLOCKER F W. A versatile acceleration-based cam profile for single-dwell applications requiring cam-follower clearance during dwell[J]. Journal of Mechanical Design, 2012, 134(8): 084505.
[[8]]   FLOCKER F W, BRAVO R H. Minimizing the cycle time in multiple-dwell cams[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2013, 227(C4):794-805.
[[9]]   QIU H, LIN C J, LI Z Y, et al. A universal optimal approach to cam curve design and its applications[J]. Mechanism and Machine Theory, 2005, 40(6):669-692.
[[10]]   FISETTE P, PéTERKENNE J, VANEGHEM B, et al. A multibody loop constraints approach for modelling cam/follower devices[J]. Nonlinear Dynamics, 2000, 22(4): 335-359.
[[11]]   CHERNOV N N. Machine tools[M]. 2th ed. Moscow: Mir Publishers, 1984: 150-152.
[[12]]   冯之敬. 制造工程与技术原理[M]. 2版. 北京: 清华大学出版社, 2009: 293-296,303-306. FENG Zhi-jing. Manufacture engineering and technology theory[M]. 2th ed. Beijing:Tsinghua University Press, 2009: 293-296,303-306.
[[13]]   梁松,王旭,王小琼,等. 铲齿凸轮理论廓线设计研究[J]. 东北大学学报,2014,35(2):253-256. LIANG Song, WANG Xu, WANG Xiao-qiong, et al. Research on design of pitch profile of backing-off cam[J]. Journal of Northeastern University, 2014, 35(2):253-256.
[[14]]   KENNEDY J. Small worlds and mega-minds: effects of neighborhood topology on particle swarm performance[C]//Proceedings of the 1999 Congress on Evolutionary Computation. Washington DC: IEEE, 1999:1931-1938.
[1] Zhi-qiang NING,Li-xin WEI,Long QUAN,Mei-qing ZHAO,You-shan GAO. Anti-interference control and parallel tuning method for variable displacement asymmetric axial piston pump[J]. Chinese Journal of Engineering Design, 2022, 29(4): 401-409.
[2] LIANG Dong, LIANG Zheng-yu, CHANG Bo-yan, QI Yang, XU Zhen-yu. Optimal design of assisting-riveting parallel robot for lifting arm of dobby loom[J]. Chinese Journal of Engineering Design, 2022, 29(1): 28-40.
[3] XIAO Zhen, HE Yan, LI Yu-feng, WU Peng-cheng, LIU De-gao, DU Jiang. Application of improved MDSMOTE and PSO-SVM in classification prediction of automobile combination instrument[J]. Chinese Journal of Engineering Design, 2022, 29(1): 20-27.
[4] HUANG Wei, XU Jian, LU Xin-zheng, HU Ming-yi, LIAO Wen-jie. Research on dynamic vibration absorption for power equipment and building floor[J]. Chinese Journal of Engineering Design, 2021, 28(1): 25-32.
[5] SUN Yue-hai, TANG Er-xing. Optimal design of basic parameters of spiral bevel gears[J]. Chinese Journal of Engineering Design, 2020, 27(5): 616-624.
[6] HU Jun-ping, PENG Yao-ming. Optimization of hinge point position of auger driller luffing mechanism based on PSO algorithm[J]. Chinese Journal of Engineering Design, 2018, 25(5): 561-566,596.
[7] WANG Li, ZHANG Shi-bing. Research on temperature control system of hot melt glue machine based on CPSO-BP neural network-PID[J]. Chinese Journal of Engineering Design, 2017, 24(5): 588-594.
[8] ZHAO Dong-bo, YAO Ling-ling, YUAN Kun-kun, LU Jin-gui. Multi-objective optimization for four-bar mechanism of hydraulic support based on particle swarm optimization algorithm[J]. Chinese Journal of Engineering Design, 2017, 24(4): 433-439.
[9] WANG Hui, ZHU Long-biao, ZHU Tian-cheng, CHEN Hong-yan, SHAO Xiao-jiang, ZHU Zhi-hui. Research on path planning of parking system based on PSO-genetic hybrid algorithm[J]. Chinese Journal of Engineering Design, 2016, 23(2): 195-200.
[10] HUANG Xiao-qian, WANG Feng, TAN Yang-hong, WANG Rui, SHAO Jing-ke, CHEN Chun. Coordinated scheduling of electric vehicles and renewable generation considering vehicle-to-grid mode[J]. Chinese Journal of Engineering Design, 2016, 23(1): 67-73.
[11] . Multi-objective optimization software development and application[J]. Chinese Journal of Engineering Design, 2015, 22(3): 262-268.
[12] WANG Wen-Zhu, JIN Feng, ZHOU Hai-Bo. Study on the nonlinear influence of hysteresis characteristics of electromagnet in maglev movement[J]. Chinese Journal of Engineering Design, 2013, 20(3): 212-217.
[13] DU Yi-Xian, WANG Wei, LI Ran, FU Jun-Jian. Research on sensitivity filtering method for structural topology optimization[J]. Chinese Journal of Engineering Design, 2012, 19(1): 20-24.
[14] QIAN Xue-Yi, WU Shuang. Multi-objective optimization of the non-symmetrical gear agglutinate strength based on elastohydrodynamic lubrication theory[J]. Chinese Journal of Engineering Design, 2010, 17(6): 426-429.
[15] MAO Jian, CAO Yan-Long. Evaluation method for spatial straightness errors based on particle swarm optimization[J]. Chinese Journal of Engineering Design, 2006, 13(5): 291-294.