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Theoretical model for elliptical tube laterally impacted by two parallel rigid plates

Applied Mathematics and Mechanics(English Edition) 2016年第2期37卷 227-236页

作者： Haibo WANG Ruirui LIU Jialing YANG Hua LIU Yuxin SUN School of Aeronautic Science and Engineering Beihang University Beijing 100191 China Jiuquan Satellite Launch Centre Jiuquan 732750 Gansu Province China

An analytical model is developed to study the crushing behavior and energy absorption capability of a single elliptical tube impacted by two parallel rigid plates, with and without consideration of the strain hardening effect. The four-hinge collapse mechanism is used, and the governing equation is derived from Lagrange equations of the second kind. The numerical simulation of the dynamic response of the elliptical tube under impact using the finite element explicit code LS-DYNA is performed. The reaction force-displacement curve and displacement-time curve of the plate obtained from the two methods are in good agreement.

关键词： elliptical tube strain hardening strain rate lateral impact

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Theoretical analysis on quasi-static lateral compression of elliptical tube between two rigid plates

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Applied Mathematics and Mechanics(English Edition) 2015年第8期36卷 1005-1016页

作者： Ruirui LIU Haibo WANG Jialing YANG Hua LIU Yuxin SUN School of Aeronautic Science and Engineering Beihang University Jiuquan Satellite Launch Center

Based on the rigid plastic theory; the load-deflection functions with and without considering the effect of strain hardening are respectively derived for an elliptical tube under quasi-static compression by two parallel rigid plates. The non-dimensional load-deflection responses predicted by the present theory and the finite element simula- tions are compared, and the favorable agreement is found. The results show that strain hardening may have a noticeable influence on the load-deflection curves of an elliptical tube under quasi-static compression. Compared with the circular counterpart, the ellip- tical tube exhibits different energy absorption behavior due to the difference between the major axis and the minor axis. When loaded along the major axis of a slightly oval tube, a relative even and long plateau region of the load-deflection curve is achieved, which is especially desirable for the design of energy absorbers.

关键词： elliptical tube strain hardening ovality quasi-static lateral compression

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