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

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

收稿日期:2015-01-06 修回日期:2015-06-29 出版日期:2016-02-01 发布日期:2016-02-01
通讯作者: Yuxin SUN E-mail:yxsun@buaa.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11032001)

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)

摘要/Abstract

摘要：

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

Abstract:

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

中图分类号:

74C05
74S05

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

参考文献

[1] Kinkead, A. N. Analysis for inversion load and energy absorption of a circular tube. Journal of Strain Analysis, 18(3), 177-188(1983)
[2] Yang, J. L., Luo, M., Hua, Y. L., and Lu, G. X. Energy absorption of expansion tubes using a conical-cylindrical die: experiments and numerical simulation. International Journal of Mechanic Sciences, 52(5), 716-725(2010)
[3] Deruntz, J. A. and Hodge, P. G. Crushing of a tube between rigid plates. Journal of Applied Mechanics, 30, 391-395(1963)
[4] Burton, R. H. and Craig, J. M. An investigation into the energy absorbing properties of metal tubes loaded in the transverse direction, B. Sc. dissertation, University of Bristol, England (1963)
[5] Huang, X., Lu, G., and Yu, T. X. On the axial splitting and curling of circular metal tubes. International Journal of Mechanical Sciences, 44(11), 2369-2391(2002)
[6] Yu, T. X. and Lu, G. X. Energy Absorption of Structures and Materials (in Chinese), Chemical Industry Press, Beijing (2006)
[7] Olabi, A. G., Morris, E., and Hashmi, M. S. J. Metallic tube type energy absorbers: a synopsis. Thin-Walled Structures, 45, 706-726(2007)
[8] Zhang, T. G. and Guo, X. G. The large viscoplastic deformation of a ring subjected to lateral impulsive loading (in Chinese). Explosion and Shock Waves, 10(1), 55-61(1990)
[9] Morris, E., Olabi, A. G., and Hashmi, M. S. J. Lateral crushing of circular and non-circular tube systems under quasi-static conditions. Journal of Materials Processing Technology, 191(1-3), 132-135(2007)
[10] Olabi, A. G., Morris, E., and Hashmi, M. S. J. Optimised design of nested oblong tube energy absorbers under lateral impact loading. International Journal of Impact Engineering, 35(1), 10-26(2008)
[11] Wu, L. and Carney, J. F., III. Initial collapse of braced elliptical tubes under lateral compression. International Journal of Mechanical Sciences, 39(9), 1023-1036(1997)
[12] Wu, L. and Carney, J. F., III. Experimental analyses of collapse behaviors of braced elliptical tubes under lateral compression. International Journal of Mechanical Sciences, 40(8), 761-777(1998)
[13] Liu, R. R., Wang, H. B., Yang, J. L., Liu, H., and Sun, Y. X. Theoretical analysis on the quasi-static lateral compression of elliptical tube between two rigid plates. Applied Mathematics and Mechanics (English Edition), 36, 1005-1016(2015) DOI 10.1007/s10483-015-1962-7

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

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

PDF

可视化

被引次数

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 6

编辑推荐

Metrics

本文评价

[1]	Peng TANG, Hongda ZHANG, Taohong YE, Zhou YU, Zhaoyang XIA. A novel method for chemistry tabulation of strained premixed/stratified flames based on principal component analysis[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(6): 855-866.
[2]	Ruirui LIU, Haibo WANG, Jialing YANG, Hua LIU, Yuxin SUN. Theoretical analysis on quasi-static lateral compression of elliptical tube between two rigid plates[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(8): 1005-1016.
[3]	张海东朱志武宋顺成康国政宁建国. Dynamic behavior of frozen soil under uniaxial strain and stress conditions[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(2): 229-238.
[4]	钟卫洲宋顺成陈刚黄西成黄鹏. Stress field of orthotropic cylinder subjected to axial compression[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(3): 305-316.
[5]	岳珠峰;陶仙德;尹泽勇;李海燕. A CRYSTALLOGRAPHIC MODEL FOR THE ORIENTATION DEPENDENCE OF LOW CYCLIC FATIGUE PROPERTY OF A NICKEL-BASE SINGLE CRYSTAL SUPERALLOY[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(4): 415-424.
[6]	揭敏. A SIMPLIFIED OVER-STRESS ANALYTICAL MODEL OF THE DYNAMIC BUCKLING OF A PERFECTLY PLASTIC COLUMN UNDER AXIAL IMPACT[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(6): 607-610.