| Optimization Design |
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| Design and research on biaxial linkage feed system based on multi-objective optimization |
| SU Fang1, LUO Ru-nan2, LIU Yan-ming1, WANG Chen-sheng1,2 |
1.School of Mechatronic Engineering, Shanxi Datong University, Datong 037003， China
2.School of Mechanical Engineering, Tianjin University, Tianjin 300350， China |
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Abstract In order to improve the machining accuracy of machine tool and reduce the machining errors of work pieces, taking the contour error and tracking errors of Z-axis and X-axis as the optimization objectives, the multi-objective optimization design and research on the biaxial linkage feed system was carried out. Firstly, on the basis of previous studies, the optimization initial condition was set, and the test sample points were obtained by Box-Behnken method. Secondly, based on the established electromechanical coupling dynamics model of the biaxial linkage feed system, the simulation analysis of the motion trajectory of the sample points was carried out to obtain the data of contour error and uniaxial tracking error, and the design variables with a greater influence on the design objective were obtained by using the sensitivity analysis method. Then, based on the data obtained by simulation, the response surface model of design objectives to design variables was constructed by quadratic polynomial fitting method with cross term. Finally, NSGA-II（non-dominated sorting genetic algorithm-II）was used to optimize the biaxial feed system, and Pareto optimal solution set of the biaxial feed system was obtained. The optimal solution was found from the solution set according to the priority order of the design objectives. The simulation results showed that the contour error and tracking errors of the Z-axis and X-axis of the biaxial linkage feed system were significantly reduced by more than 30%, and the optimization effect was obvious. This method can provide reference for the optimization of multi-axis linkage feed system.
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Received: 09 January 2020
Published: 28 August 2020
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双轴联动进给系统多目标优化设计与研究
为提高机床的加工精度，降低零件加工误差，以双轴联动进给系统的轮廓误差和Z轴、X轴的跟踪误差为优化目标，开展双轴联动进给系统的多目标优化设计与研究。首先，在前期研究的基础上，设置优化初始条件，并利用Box-Behnken方法获得试验样本点；其次，基于所建立的双轴联动进给系统的机电耦合动力学模型开展样本点运动轨迹仿真分析，得到轮廓误差和单轴跟踪误差数据，并采用灵敏度分析法获得对设计目标影响程度较大的设计变量；然后，基于仿真得到的数据，利用含交叉项的二次多项式拟合方法构建设计目标对设计变量的响应面模型；最后，利用NSGA-II （non-dominated sorting genetic algorithm-II，非支配排序遗传算法II）对双轴联动进给系统进行优化，得到双轴联动进给系统的Pareto最优解集，按照目标优先顺序从该解集中寻得最优解。从仿真结果可知，双轴联动进给系统的轮廓误差和Z轴、X轴的跟踪误差均明显降低，降幅超过30%，优化效果明显。该方法可为多轴联动进给系统的优化提供参考。
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