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

doi:10.1007/s10483-016-2027-8

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (2): 227-236.doi: https://doi.org/10.1007/s10483-016-2027-8

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

Haibo WANG¹, Ruirui LIU^1,2, Jialing YANG¹, Hua LIU¹, Yuxin SUN¹

1. School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China;
2. Jiuquan Satellite Launch Centre, Jiuquan 732750, Gansu Province, China

Received:2015-01-06 Revised:2015-06-29 Online:2016-02-01 Published:2016-02-01
Contact: Yuxin SUN E-mail:yxsun@buaa.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11032001)

Abstract

Abstract:

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.

Key words: elliptical tube, strain hardening, strain rate, lateral impact

2010 MSC Number:

74C05
74S05

Haibo WANG, Ruirui LIU, Jialing YANG, Hua LIU, Yuxin SUN. Theoretical model for elliptical tube laterally impacted by two parallel rigid plates. Applied Mathematics and Mechanics (English Edition), 2016, 37(2): 227-236.

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References

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

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