薄壁方管轴向压溃的相似性研究  

Study on the similarity of axial crushing of thin-walled square tubes

作　　者：常新哲 徐绯[1] 杨磊峰 王帅 李肖成 惠旭龙 王计真 CHANG Xinzhe;XU Fei;YANG Leifeng;WANG Shuai;LI Xiaocheng;XI Xulong;WANG Jizhen(Institute for Computational Mechanics and Its Applications,School of Aeronautics,Northwestern Polytechnical University,Xi’an 710072,China;Institute of Systems Engineering,China Academy of Engineering Physics,Mianyang 621999,China;Aviation Key Laboratory of Science and Technology on Structures Impact Dynamics,Aircraft Strength Research Institute of China,Xi’an 710065,China;School of Mechanical Engineering,Xi’an Jiaotong University,Xi’an 710049,China)

机构地区：[1]西北工业大学航空学院计算力学与工程应用研究所,西安710072 [2]中国工程物理研究院总体工程研究所,四川绵阳621999 [3]中国飞机强度研究所结构冲击动力学航空科技重点实验室,西安710065 [4]西安交通大学机械工程学院,西安710049

出　　处：《振动与冲击》2023年第11期284-294,共11页Journal of Vibration and Shock

基　　金：国家自然科学基金(11972309,12272320);高等学校学科创新引智计划(111计划)(BP0719007)。

摘　　要：薄壁方管由于其几何特性导致相似性研究中,厚度无法与长度、宽度按照同一比例进行结构缩放,从而产生几何畸变,造成传统的相似律失效。为了解决这一问题,基于轴压冲击问题的响应方程、能量守恒方程,采用方程分析和量纲分析,推导了受轴压冲击作用下理想弹塑性薄壁方管几何畸变时动态响应的相似律。讨论了缩比模型与原型选取同种和不同种材料时的速度比例因子,并在理想弹塑性材料的基础上进一步修正了考虑应变率、应变硬化效应时的速度比例因子。建立有限元模型验证了畸变模型相似律的有效性。结果表明,缩比模型在采用提出的受轴压冲击薄壁方管的相似律进行缩放后,能够准确预测原型的载荷、能量等动态响应,相似性较好。Due to their geometric characteristics,in the similarity study of thin-walled square tubes,the thickness cannot be scaled in the same scaling factor as the length and width,resulting in geometric distortion and failure of the traditional similarity law.In order to solve this problem,firstly,based on the response equation and energy conservation equation of the axial pressure impact problem,the similarity law of dynamic response of ideal elastic-plastic thin-walled square tubes with geometric distortion under axial compression impact load was derived using equation analysis and dimensional analysis.Then,velocity scaling factors of the scaled model and the prototype was discussed when selecting the same and different materials,and velocity scale factors considering strain rate and strain hardening effect were further modified on the basis of the ideal elastoplastic material.Finally,finite element models were established to verify the validity of the similarity law of the distortion model.The results show that scaled models can accurately predict the dynamic response of the prototype,such as load and energy,after scaling with the proposed similarity law of thin-walled square tubes impacted by axial compression,and the similarity is good.

关 键 词：薄壁方管 相似律 几何畸变 几何-不同材料耦合畸变 

分 类 号：V214.4[航空宇航科学与技术—航空宇航推进理论与工程] O303[理学—力学]