基于正交试验、组合赋权-灰色关联的机床横梁优化设计

邱自学1,鞠家全1,任东2,崔德友2,刘传进2

振动与冲击 ›› 2017, Vol. 36 ›› Issue (12) : 105-111.

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (12) : 105-111.
论文

基于正交试验、组合赋权-灰色关联的机床横梁优化设计

  • 邱自学1,鞠家全1,任东2,崔德友2,刘传进2
作者信息 +

Optimization Design for Crossbeam of Machining Tool Based on Orthogonal Experimental Method and Combination Weight-Grey Relational Analysis

  • QIU Zi-xue1, JU Jia-quan1,REN Dong2, CUI De-you2, LIU Chuan-jin2
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摘要

机床横梁是机床的重要部件,横梁的刚性对机床的加工精度影响很大,为此,需要对横梁结构进行优化设计以获得良好的静、动态特性。文中设计了6种横梁筋板结构,初步筛选出4种筋板结构的横梁,并以横梁筋板结构、筋板厚度、上导轨支撑筋板倾斜角度为试验因素,以横梁质量、最大耦合变形、最大耦合应力、一阶固有频率为评价指标设计了三因素四水平的正交试验;采用灰色关联法和组合赋权法处理有限元分析数据,获得优化设计的最优参数组合。结果表明,横梁“井”型筋板结构,筋板厚度25mm,上导轨支撑筋板倾斜45°设计为最优方案,与原设计方案相比质量减轻了466kg,横梁总形变减少了7.36%,一阶固有频率提高了2.91%。拓展了正交试验、组合赋权-灰色关联法的应用范围,为其它机床零部件的设计提供了有益的方法参考。

Abstract

The crossbeam is an important part of machining tool, and the stiffness of crossbeam has great impact on machining accuracy, therefore, optimization design is necessary for the crossbeam to obtain its good static and dynamic characteristics. Six kinds of rib structure were designed and preliminary screened out four kinds of them. The orthogonal experimental method was carried out with three levels and four factors ,which took the crossbeam’s rib structure, the rib thickness, the angle of supporting ribs on guide-way as design variables, and took the crossbeam’s quality , the maximum coupling deformation, the maximum coupling stress, the first-order frequency as objective functions; Grey correlation method and the combination weighting method were used to the data processing of finite element analysis to obtain the optimal parameter combination. The results show that the crossbeam with "井" type rib structure, rib thickness of 25mm, the supporting ribs on guide-way tilted 45 ° is the optimal solution. Compared with the original design, the beam deformation reduced by 7.36% and the first-order frequency increased by 2.91%, while the quality reduced by 466kg. It expanded the applications of orthogonal experiment, grey correlation method and the combination weighting method, provided a useful method for the design of other machine parts.

 

关键词

机床横梁 / 优化设计 / 正交试验 / 组合赋权 / 灰色关联 / 有限元法

Key words

crossbeam of machine tool / optimization design / orthogonal experimental method / combination weight / grey relational analysis / finite element method

引用本文

导出引用
邱自学1,鞠家全1,任东2,崔德友2,刘传进2 . 基于正交试验、组合赋权-灰色关联的机床横梁优化设计[J]. 振动与冲击, 2017, 36(12): 105-111
QIU Zi-xue1, JU Jia-quan1,REN Dong2, CUI De-you2, LIU Chuan-jin2. Optimization Design for Crossbeam of Machining Tool Based on Orthogonal Experimental Method and Combination Weight-Grey Relational Analysis[J]. Journal of Vibration and Shock, 2017, 36(12): 105-111

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