基于多目标遗传算法的双肘杆机构尺寸参数优化  

Size Parameter Optimization of Double Toggle Mechanism Based on Multi-objective Genetic Algorithm

作　　者：李金炜 蔡吉飞 房瑞明 LI Jin-wei;CAI Ji-fei;FANG Rui-ming(School of Mechanical and Electrical Engineering,Beijing Institute of Graphic Communication,Beijing 102600,China)

机构地区：[1]北京印刷学院机电工程学院,北京102600

出　　处：《印刷与数字媒体技术研究》2024年第5期115-122,155,共9页Printing and Digital Media Technology Study

基　　金：北京印刷学院学科建设和研究生教育专项(No.21090324003);北京印刷学院教学改革创新重点项目(No.20240026)。

摘　　要：针对模切机双肘杆机构运动学性能优化问题,本研究提出一种多目标优化方法。首先,建立双肘杆机构平面坐标系,利用封闭矢量法建立运动学模型,利用迭代法求解Ⅲ级杆组的运动曲线。然后,以模切机动平台运动过程中两端纵向距离最小和动平台水平位移最小作为优化目标,以各个杆件间的几何约束和实际工作条件作为约束条件,基于Sobol敏感性分析和快速非支配排序遗传算法(NSGA-Ⅱ)并结合工程实际建立多目标优化模型。最后,分析对比优化前后杆件的参数变化和位移及加速度仿真曲线,选取最优的优化方案。实验结果表明,对双肘杆机构优化后动平台两端纵向最大距离降低1.22%,同时动平台水平最大位移降低17.65%,其模切速度显著提高。In this study,a multi-objective optimization method was proposed to optimize the kinematics performance of double toggle mechanism of die-cutting machine.First,the plane coordinate system of the double toggle bar mechanism was established.The closed vector method was used to establish the kinematics model,and the iterative method was used to solve the motion curve of the Grade III bar group.Then,the optimization objectives were to minimize the longitudinal distance between the two ends and the horizontal displacement of the moving platform during the motion of the die-cutting mobile platform.The geometric constraints and actual working conditions between each member were used as constraints.Based on Sobol sensitivity analysis and the fast non dominated sorting genetic algorithm(NSGA-II),a multi-objective optimization model was established in combination with engineering practice.Finally,analyze and compare the parameter changes and displacement and acceleration simulation curves of the rod before and after optimization,and select the optimal optimization plan.The result showed that after optimizing the double elbow bar mechanism,the maximum longitudinal distance between the two ends of the moving table is reduced by 1.22%,while the maximum horizontal displacement of the moving table is reduced by 17.65%.This study method can significantly improve the efficiency of die-cutting machine.

关 键 词：双肘杆机构 多目标优化 遗传算法 敏感性分析 

分 类 号：TH112[机械工程—机械设计及理论] TS885[轻工技术与工程]