Plackett-Burman虚拟试验设计的弯管临界支撑间距解析  

Engineering analysis of critical support spacing in tube bend⁃ing process based on Plackett-Burman virtual experimental design

作　　者：房忠民 赵晓丹 FANG Zhongmin;ZHAO Xiaodan(School of Intelligent Manufacturing,Xiamen City University,Xiamen 361008,China;Col-lege of Chemical Engineering,Huaqiao University,Xiamen 361021,China;Xiamen Open University,Xiamen 361008,China)

机构地区：[1]厦门城市职业学院智能制造学院,福建厦门361008 [2]华侨大学化工学院,福建厦门361021 [3]厦门开放大学,福建厦门361008

出　　处：《模具工业》2025年第3期7-13,共7页Die & Mould Industry

基　　金：福建省自然科学基金项目(2022J05064);福建省中青年教师教育科研项目(科技类)(JAT241319);厦门城市职业学院科研启动费资助项目。

摘　　要：为了解决大型弯管构件在压弯过程中的变形区拉弯效应问题,基于刚塑性硬化直线模型,提出临界支撑间距算法。首先针对管材弯曲工艺进行工程解析,构建临界支撑间距与材料属性、几何特征等关系模型,其次引入无量纲指标,即相对临界间距L/d,探讨了L/d与厚径比t/d、相对弯曲半径ρ/d、应变刚模量D、屈服强度σs等因子的规律,然后通过Plackett-Burman的虚拟试验设计,得到各因子与L/d的量化关系,最后根据相关管材的国家标准选用几种材料的属性数值代入解析解,对比GB/T 232-2024推荐区间,验证解析式的有效性。In order to address the problem of the tension-bending effect in the deformation zone during the press bending process of large tube bending components,an algorithm for the critical support spacing was proposed based on the rigid-plastic hardening linear model.Firstly,an engi⁃neering analysis was conducted on the tube bending process,and a relational model between the critical support spacing and material properties,geometric characteristics was constructed.Sec⁃ondly,a dimensionless index,namely the relative critical spacing L/d,was introduced.The laws be⁃tween L/d and factors such as the thickness-to-diameter ratio t/d,the relative bending radiusρ/d,the strain hardening modulus D,and the yield strengthσs were explored.Then,through the virtual experimental design of Plackett-Burman,the quantitative relationships between each factor and L/d were obtained.Finally,according to the national standards of relevant tubes,several numerical values of material properties were selected and substituted into the analytical solution,and the an⁃alytical formula was validated by comparing with the recommended intervals in GB/T 232-2024.

关 键 词：管材弯曲 临界支撑间距 刚塑性硬化直线模型 Plackett-Burman试验设计 

分 类 号：TG381[金属学及工艺—金属压力加工]