Optimization Design of CNC Machine Tool Spindle Based on Improved PSO Algorithm

Abstract

Abstract:

A mathematical model of CNC machine tool spindle optimization design was established by analyzing the spindle's structure and the deformation under load under the working situations.A dynamic constraint was applied according to approximate value of first natural frequency calculated by Dunkerley.The PSO algorithm was applied to solve the problems of the traditional optimization design and a particle swarm algorithm with adaptively decreasing inertia weight(ADW) was presented.ADW
algorithm was used to the example of CNC machine tool spindle's optimization. The results show that the spindle structure parameter optimization can get from the mathematical model of CNC machine tool spindle optimization design and the improved PSO algorithm,the effectiveness of this method is demonstrated.

Key words: CNC machine , tool , spindle;mathematical model;particle swarm optimization(PSO) algorithm;inertia weight;optimization , design

摘要：

通过分析主轴结构和加工过程中受载变形情况, 建立了主轴优化设计的数学模型。根据邓克莱法计算得到的一阶固有频率近似值，引入动态约束条件。针对传统优化设计方法在解决主轴优化设计中出现的问题，引入粒子群优化 (PSO) 算法，并提出了一种惯性权重值适应性递减的粒子群（ADW）算法。将ADW算法用于数控机床主轴优化实例中，得到主轴结构参数优化组合。研究结果表明，运用所建立的主轴优化设计数学模型及改进粒子群算法可以得到主轴结构参数优化组合，充分显示了该研究方法的有效性。

关键词: 数控机床主轴, 数学模型, 粒子群算法, 惯性权重, 优化设计

CLC Number:

TH133.2

Zhu Chengshi, Gou Yansheng, Li Tiejun, Li Shangshuai. Optimization Design of CNC Machine Tool Spindle Based on Improved PSO Algorithm[J]. China Mechanical Engineering, 2015, 26(20): 2784-2788.

朱成实, 勾延生, 李铁军, 李尚帅. 基于改进PSO算法的数控机床主轴优化设计[J]. 中国机械工程, 2015, 26(20): 2784-2788.

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