基于MOPSO的加工中心关键移动部件多目标质量匹配优化

Multi-objective mass matching optimization of critical moving parts for machining centers based on MOPSO

  • 摘要: 加工中心移动部件质量对整机动态特性、加工精度及能量损耗等至关重要。提出以加工中心移动部件为研究对象,探究其质量与整机动态特性间的联系,并基于多目标粒子群优化算法(multi-objective parti-cle swarm optimization,MOPSO)获得移动部件质量的最优配置。首先,建立加工中心参数化三维模型;其次,结合试验设计和最小二乘法,建立床身质量m1,立柱质量m2及工作台质量m3与整机前三阶固有频率f1f2f3间的高精度响应面模型;接着,基于Matlab平台编写多目标粒子群优化算法,以整机前三阶固有频率f1f2f3作为优化目标,获得各移动部件质量最佳Pareto解;最后,以优化后移动件质量为依据,对其进行二次设计,为整机方案设计提供指导。结果表明:经质量匹配优化后,在整机移动部件总质量降低了20.34%的前提下,整机第一阶固有频率提高了45.58%,第二阶固有频率提高了21.43%,最大响应振幅降低了69.91%。

     

    Abstract: The mass of a machining center’s moving parts is critical to the machine's dynamic characteristics, machining accuracy and energy loss. Propose to take the moving parts of machining centers as the research object, explore the relationship between their mass and the dynamic characteristics of the entire machine, and obtain the optimal configuration of the moving parts’ mass based on multi-objective particle swarm optimization algorithm (MOPSO). Firstly, a parametric three-dimensional model of machining center is established; secondly, a high-precision response surface model between the bed mass m1, column mass m2 and table mass m3 and the first three orders of the machine's intrinsic frequencies f1, f2, f3 is established by combining the design of experiments and the method of least squares; and then, a multi-objective particle swarm optimization algorithm is written based on the Matlab platform to obtain the best Pareto solution for the mass of each moving part by taking the first three orders of the machine's intrinsic frequencies, f1, f2, f3, as the optimization objectives. Finally, the mass of the optimized moving parts is used as the basis for the secondary design, which provides guidance for the design of the whole machine scheme. The results show that after mass matching optimization, the first and second natural frequencies of the whole machine were increased by 45.58% and 21.43% respectively, while the total mass of the moving parts of the machine was reduced by 20.34%. The maximum response amplitude was reduced by 69.91%.

     

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