薄壁方管轴向压溃的相似性研究

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.