基于改进粒子群算法的行星齿轮传动多目标可靠性优化设计
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摘要
为改善行星齿轮传动在常规设计中不能使各目标都达到最优的问题,针对自适应粒子群寻优算法中易产生不可行解、易陷入局部最优的缺点,提出一种基于动态改变惩罚系数的多级惩罚函数的自适应粒子群寻优算法,该算法将惩罚函数设置为多级惩罚函数且惩罚系数可随迭代过程动态调整。以可靠性等为约束条件,选取体积、重合度和传动效率作为目标函数,利用该算法结合理想点法,构造评价函数进行多目标优化。结果表明:采用该算法使体积减少41.87%,重合度增加2.643%,传动效率增加0.156 3%,改善了原算法的不足,使各目标得到合理优化。
To improve the problem that the conventional design results of planetary gear transmission could not guarantee all of objectives were the optimal, aiming at the shortcomings that adaptive particle swarm optimization algorithm easily produced infeasible solution and fell into local optimum, an adaptive particle swarm optimization algorithm based on multi-level penalty function with dynamic change penalty coefficient was proposed. The algorithm set the penalty function as a multi-level penalty function and the penalty coefficient could be adjusted with the iterative process. The reliability and others were taken as the constraint conditions, the volume, the contact ratio and the transmission efficiency as the objective functions. Combined with the ideal point method to construct the evaluation function for multi-objective optimization. The results show that the volume is decreased by 41.87%, the contact ratio is increased by 2.643%, and the transmission efficiency is increased by 0.1563%. The improved particle swarm optimization improves the defects of original algorithm, and each objective is reasonably optimized.
To improve the problem that the conventional design results of planetary gear transmission could not guarantee all of objectives were the optimal, aiming at the shortcomings that adaptive particle swarm optimization algorithm easily produced infeasible solution and fell into local optimum, an adaptive particle swarm optimization algorithm based on multi-level penalty function with dynamic change penalty coefficient was proposed. The algorithm set the penalty function as a multi-level penalty function and the penalty coefficient could be adjusted with the iterative process. The reliability and others were taken as the constraint conditions, the volume, the contact ratio and the transmission efficiency as the objective functions. Combined with the ideal point method to construct the evaluation function for multi-objective optimization. The results show that the volume is decreased by 41.87%, the contact ratio is increased by 2.643%, and the transmission efficiency is increased by 0.1563%. The improved particle swarm optimization improves the defects of original algorithm, and each objective is reasonably optimized.
引文
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[12] GB/T3480—1997.渐开线圆柱齿轮承载能力计算方法[M]. 北京:中国标准出版社, 1998:63-70.GB / T3480-1997.Calculation method of load capacity of involute cylindrical gears [M]. Beijing: China Standard Press, 1998: 63-70 (In Chinese).
[13] 谢里阳. 可靠性设计[M].北京:高等教育出版社,2013:25-26;2013:122-124.XIE LiYang. Reliability design[M]. Beijing: Higher Education Press, 2013:25-26;2013:122-124 (In Chinese).
[14] 谢国宾. 多指标约束下齿轮传动机构模糊可靠性优化设计及评价[D]. 重庆:重庆交通大学.2015: 44-46. XIE GuoBin. Fuzzy reliability optimization design and evaluation of gear transmission mechanism under multi-index constraints [D]. Chongqing: Chongqing Jiaotong University, 2015: 44-46(In Chinese).
[2] 许俊飞,邢昌风,吴 玲. 基于约束优化的舰艇区域防空作战能力需求生成[J]. 北京航空航天大学学报, 2016, 42(5):1039-1045.XU JunFei, XING ChangFeng, WU Ling. Combat capability requirement generation of warship area air defense based on constrained Optimization[J]. Journal of Beijing University of Aeronautics and Astronautics , 2016, 42 (5): 1039-1045(In Chinese).
[3] 陈亚洲,高 亮,周 驰. 基于粒子群优化和协同优化的多学科设计优化研究[J]. 机械科学与技术, 2007, 26(4): 424-427.CHEN YaZhou, GAO Liang, ZHOU Chi. Research on multidisciplinary design optimization based on particle swarm optimization and collaborative optimization[J]. Mechanical Science and Technology for Aerospace Engineering. 2007, 26(4): 424-427(In Chinese).
[4] 廖猜猜,席 光,徐建中. 一种求解约束优化问题的改进粒子群算法及应用[J]. 工程热物理学报, 2010, 31(1): 32-35.LIAO CaiCai, XI Guang, XU JianZhong. An Improved particle swarm optimization algorithm for solving constrained optimization problems and its application[J]. Journal of Engineering Thermophysics, 2010, 31(1): 32-35(In Chinese).
[5] 俞俊霞,赵 波. 基于改进粒子群优化算法的最优潮流计算[J]. 电力系统及其自动化学报, 2005, 17(4): 83-88.YU JunXia, ZHAO Bo. Optimal power flow calculation based on improved particle swarm optimization algorithm[J]. Chinese Journal of Power Systems and Automation, 2005, 17(4): 83-88(In Chinese).
[6] 张 辉,叶南海,陈 凯,等. 改进的粒子群算法在可靠性优化设计中的应用[J]. 机械设计, 2012, 29(7): 59-63.ZHANG Hui, YE NanHai, CHEN Kai, et al. Application of improved particle swarm optimization in reliability optimization design[J]. Mechanical Design, 2012, 29(7): 59-63(In Chinese).
[7] 高 飞. MATLAB智能算法超级学习手册[M]. 第1版. 北京: 人民邮电出版社, 2014: 243-244.GAO Fei. MATLAB intelligent algorithm super learning manual[M]. 1st edition. Beijing: People’s Posts and Telecommunications Press, 2014: 243-244(In Chinese).
[8] 张保松,陆群峰,靳国忠,等. 行星齿轮传动系统优化模型的设计变量选取及衍化方法研究[J]. 传动技术, 2014, 28(2): 16-21.ZHANG BaoSong, LU QunFeng, JIN GuoZhong, et al. Research on design variables selection and derivative method of planetary gear transmission system optimization model[J]. Transmission Technology, 2014, 28(2): 16-21(In Chinese).
[9] 秦大同,邢子坤,王建宏. 基于动力学和可靠性的风力发电齿轮传动系统参数优化设计[J]. 机械工程学报, 2008, 44(7): 24-31.QIN DaTong, XING ZiKun, WANG JianHong. Parameter optimization design of wind power generation gear transmission system based on dynamics and reliability[J]. Chinese Journal of Mechanical Engineering, 2008, 44(7): 24-31(In Chinese).
[10] 张东浩,吴凤林,张世同,等. 改进遗传算法在NGW行星齿轮传动可靠性优化设计中的应用[J]. 机械传动, 2013,37(02): 44-46.ZHANG DongHao, WU FengLin, ZHANG ShiTong, et al. Application of improved genetic algorithm in optimal design of NGW planetary gear transmission reliability[J]. Journal of Mechanical Transmission, 2013, 37(02): 44-46(In Chinese).
[11] 张庆伟,张 博,王建宏,等. 风力发电机齿轮传动系统的动态优化设计[J]. 重庆大学学报, 2010, 34(3):31-35.ZHANG QingWei, ZHANG Bo, WANG JianHong, et al. Dynamic optimal design of gear transmission system of wind turbine generator[J]. Journal of Chongqing University, 2010, 34(3): 31-35(In Chinese).
[12] GB/T3480—1997.渐开线圆柱齿轮承载能力计算方法[M]. 北京:中国标准出版社, 1998:63-70.GB / T3480-1997.Calculation method of load capacity of involute cylindrical gears [M]. Beijing: China Standard Press, 1998: 63-70 (In Chinese).
[13] 谢里阳. 可靠性设计[M].北京:高等教育出版社,2013:25-26;2013:122-124.XIE LiYang. Reliability design[M]. Beijing: Higher Education Press, 2013:25-26;2013:122-124 (In Chinese).
[14] 谢国宾. 多指标约束下齿轮传动机构模糊可靠性优化设计及评价[D]. 重庆:重庆交通大学.2015: 44-46. XIE GuoBin. Fuzzy reliability optimization design and evaluation of gear transmission mechanism under multi-index constraints [D]. Chongqing: Chongqing Jiaotong University, 2015: 44-46(In Chinese).