基于回归分析法的矩形槽圆管吸能特性研究  

STUDY ON ENERGY ABSORPTION CHARACTERISTICS OF CIRCULAR TUBE WITH RECTANGULAR GROOVE BASED ON REGRESSION ANALYSIS

作　　者：雷成[1] 李福胜[1] 缪得祥 朱涛[2] LEI Cheng;LI FuSheng;MIAO DeXiang;ZHU Tao(Henan Engineering Research Center of Rail Transit Intelligent Security,Zhengzhou Railway Vocational&Technical College,Zhengzhou 451460,China;State Key Laboratory of Traction Power,Southwest Jiaotong University,Chengdu 610031,China)

机构地区：[1]郑州铁路职业技术学院河南省轨道交通智能安全工程技术研究中心,郑州451460 [2]西南交通大学牵引动力国家重点实验室,成都610031

出　　处：《机械强度》2024年第2期292-300,共9页Journal of Mechanical Strength

基　　金：国家自然科学基金项目(52175123)资助。

摘　　要：为了研究矩形槽圆管吸能特性规律,提出了一种基于回归分析法的结构参数与吸能特性关系的拟合方法。针对轴向冲击下的圆管动态响应,首先,建立了6005A-T6材料的Cowper-Symonds本构模型,并验证了仿真模型的准确性;其次,设计了正交试验,建立了吸能特性与结构参数之间的计算模型;然后,利用多元线性与非线性回归分析方法对计算模型参数求解,并对比了两种拟合结果,得到了峰值力和吸能量的经验公式;接着,对比经验公式与有限元数值计算值表明,经验公式在研究范围内具有较高准确性,误差在8%以内;最后,引入吸能性能指标并使用遗传算法对圆管进行了结构优化,优化结果表明,在研究范围内当直径和槽端距最小、壁厚和槽宽最大、槽深最浅时,矩形槽圆管的吸能性能最优。In order to study the energy absorption characteristics of circular tubes with rectangular groove,a method based on regression analysis of fitting the relationship between structural parameters and energy absorption characteristics was proposed.Firstly,Cowper⁃Symonds constitutive model of 6005A⁃T6 was established,which was used as input to verify the accuracy of the simulation model of circular tubes.Secondly,an orthogonal experiment on energy absorption characteristics and structural parameters was designed,and a nonlinear calculation model between the two was established.Then,the multiple linear and nonlinear regression analysis methods were used to solve the calculation model parameters,and the empirical formulas of peak force and energy absorption were obtained by comparing the two fitting results.By comparing the calculated value of the empirical formula with the finite element numerical value,the empirical formula has higher accuracy within the research range,and the error is within 8%.Finally,the energy absorption performance index was introduced and the structure of the circular tube was optimized by genetic algorithm.The optimization results show that when the diameter and the groove end distance are the smallest,the wall thickness and the groove width are the largest,and the groove depth is the shallowest,the circular tube has the best energy absorption performance in the range of research.

关 键 词：矩形槽 薄壁圆管 多元回归分析法 经验公式 结构优化 

分 类 号：U270.1[机械工程—车辆工程]