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

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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.

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Abbreviations

a :

initial horizontal semi-axis

λ :

effective length of plastic hinge

b :

initial vertical semi-axis

ρ :

mass density of material

R :

initial radius of circular tube

γ :

linear density of material

h =\(\frac{b}{a}\) :

ovality of elliptical tube

E :

elastic modulus of material

d :

thickness of tube wall

μ :

Poisson’s ratio of material

l :

breadth of tube wall

σ 0 :

yield stress of material

δ :

displacement of plate

E P :

linear hardening modulus of material

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Author information

Authors and Affiliations

  1. School of Aeronautic Science and Engineering, Beihang University, Beijing, 100191, China

    Haibo Wang, Ruirui Liu, Jialing Yang, Hua Liu & Yuxin Sun

  2. Jiuquan Satellite Launch Centre, Jiuquan 732750 Gansu Province, China

    Ruirui Liu

Authors
  1. Haibo Wang
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  2. Ruirui Liu
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  3. Jialing Yang
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  4. Hua Liu
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  5. Yuxin Sun
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Corresponding author

Correspondence to Yuxin Sun.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11032001)

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Wang, H., Liu, R., Yang, J. et al. Theoretical model for elliptical tube laterally impacted by two parallel rigid plates. Appl. Math. Mech.-Engl. Ed. 37, 227–236 (2016). https://doi.org/10.1007/s10483-016-2027-8

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  • DOI: https://doi.org/10.1007/s10483-016-2027-8

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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