燕山大学学报2025，Vol.49Issue(6)：479-486,8.DOI:10.3969/j.issn.1007-791X.2025.06.002
基于刚塑性线性强化模型的弯曲临界支撑间距工程解析
Engineering analysis of critical support spacing for bending process based on rigid-plastic linear hardening model
摘要
Abstract
To address the issue of full cross-sectional plastic deformation in large plate bending components during press bending caused by unreasonable mold size design,a critical support spacing analytical algorithm is proposed based on a rigid-plastic linear hardening model with yield strength.First,an analytical expression for the critical support spacing is derived based on the rigid-plastic linear hardening constitutive model and bending moment equilibrium relationships.Second,a dimensionless parameter termed"relative critical spacing"is defined,and analysis of variance(ANOVA)along with regression analysis are employed to systematically investigate the quantitative influences of material strain hardening modulus,yield strength,plate thickness,and relative bending radius on this parameter.Finally,the analytical solutions are compared with 23 sets of physical experimental data,and the validity of the analytical expression is verified using one-way ANOVA.The results indicate that the relative critical spacing is negatively correlated with material yield strength and plate thickness,and positively correlated with strain hardening modulus and relative bending radius.Under the experimental conditions of this study,the relative difference between the physical experimental values and the analytical solutions falls within the range of 0.29％to 2.97％at a 95％confidence level,and one-way ANOVA shows no significant difference between the two.关键词
临界支撑间距/刚塑性线性强化模型/拉弯变形/相对临界间距/V形弯曲Key words
critical support spacing/rigid-plastic linear hardening model/bending-tensile deformation/relative critical spacing/V-bending分类
矿业与冶金引用本文复制引用
房忠民,赵晓丹,王福增,赵志勇..基于刚塑性线性强化模型的弯曲临界支撑间距工程解析[J].燕山大学学报,2025,49(6):479-486,8.基金项目
福建省中青年教师教育科研项目(科技类)(JAT241319) （科技类）
厦门城市职业学院高层次人才科研启动费资助项目(20105024) （20105024）
福建省自然科学基金项目(2022J01319,2022J05064) （2022J01319,2022J05064）
