Study on the similarity of axial crushing of thin-walled square tubes
CHANG Xinzhe1, XU Fei1, YANG Leifeng1, WANG Shuai1,2, LI Xiaocheng3 XI Xulong3, WANG Jizhen3,4
1.Institute for Computational Mechanics and Its Applications, School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, China;
2.Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang 621999,China;
3.Aviation Key Laboratory of Science and Technology on Structures Impact Dynamics, Aircraft Strength Research Institute of China, Xi’an 710065, China;
4.School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, China
Abstract:In the similarity study of thin-walled square tubes due to their geometric characteristics, 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, 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 is derived using equation analysis and dimensional analysis. Then, velocity scaling factors are discussed when the scaled model and the prototype select the same and different materials, and velocity scale factors when considering strain rate and strain hardening effect are further modified on the basis of the ideal elastoplastic material. Finally, finite element models are 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.
常新哲1,徐绯1,杨磊峰1,王帅1,2,李肖成3,惠旭龙3,王计真3,4. 薄壁方管轴向压溃的相似性研究[J]. 振动与冲击, 2023, 42(11): 284-294.
CHANG Xinzhe1, XU Fei1, YANG Leifeng1, WANG Shuai1,2, LI Xiaocheng3 XI Xulong3, WANG Jizhen3,4. Study on the similarity of axial crushing of thin-walled square tubes. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(11): 284-294.
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