Equivalent stiffness and optimized design of egg-box structure based on variational asymptotic method

ZANG Yong; WANG Yuan; QIN Qin; GUAN Ben

doi:10.13374/j.issn2095-9389.2017.09.012

Volume 39 Issue 9

Sep. 2017

Turn off MathJax

Article Contents

Article Navigation > Chinese Journal of Engineering > 2017 > 39(9): 1386-1395

ZANG Yong, WANG Yuan, QIN Qin, GUAN Ben. Equivalent stiffness and optimized design of egg-box structure based on variational asymptotic method[J]. Chinese Journal of Engineering, 2017, 39(9): 1386-1395. doi: 10.13374/j.issn2095-9389.2017.09.012

Citation:

ZANG Yong, WANG Yuan, QIN Qin, GUAN Ben. Equivalent stiffness and optimized design of egg-box structure based on variational asymptotic method[J]. Chinese Journal of Engineering, 2017, 39(9): 1386-1395. doi: 10.13374/j.issn2095-9389.2017.09.012

Citation:

PDF( 9245 KB)

Equivalent stiffness and optimized design of egg-box structure based on variational asymptotic method

doi: 10.13374/j.issn2095-9389.2017.09.012

School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

Received Date: 2017-02-22

Abstract

Abstract

The equivalent stiffness of the egg-box structure was investigated to achieve structural optimization of the structure parameters. A unit cell of the egg-box structure was studied using the variational asymptotic method to obtain a numerical calculation method for equivalent stiffness of the whole egg-box structure. This numerical calculation method was then used to analyze the equivalent stiffness of the egg-box structure with different structural parameters. A formula for equivalent stiffness characteristics was then fitted, and the structural parameters were treated as independent variables. Finally, the fitted formula was used to optimize the dimensionless structural parameters to obtain maximum buckling load and maximum energy absorbed per unit weight when Poisson's ratio or equivalent stiffness was restricted. Results show that the tensile stiffness of the egg-box structure is reduced, but the bending stiffness is increased. In addition, there is a nonlinear relationship between stiffness and structural parameters, and the structure exhibits a negative Poisson's ratio. Furthermore, active parameters optimization design of the egg-box structure can be easily achieved with the fitted formula.
- egg-box structure,
- variational asymptotic method,
- equivalent stiffness,
- structural optimization

FullText(HTML)

References(19)

References

[1]	Ashmead M. Energy-Absorbing Structures:US Patent, 6547280.2003-4-15
[2]	Deshpande V S, Fleck N A. Energy absorption of an egg-box material. J Mech Phys Solids, 2003, 51(1):187
[3]	Zupan M, Chen C, Fleck N A. The plastic collapse and energy absorption capacity of egg-box panels. Int J Mech Sci, 2003, 45(5):851
[4]	Akisanya A R, Fleck N A. Plastic collapse of thin-walled frusta and egg-box material under shear and normal loading. Int J Mech Sci, 2006, 48(7):799
[5]	Chung J G, Chang S H, Sutcliffe M P F. Deformation and energy absorption of composite egg-box panels. Compos Sci Technol, 2007, 67(11-12):2342
[6]	Yoo S H, Chang S H. An experimental study on energy absorbing structures made of fabric composites. Compos Struct, 2008, 86(1-3):211
[7]	Yoo S H, Chang S H, Sutcliffe M P F. Compressive characteristics of foam-filled composite egg-box sandwich panels as energy absorbing structures. Composites Part A, 2010, 41(3):427
[8]	Nowpada S, Chirwa E C, Myler P, et al. "Egg-box" panel for commercial vehicle front-compressive loading tests. Int J Crashworthines, 2010, 15(1):59
[9]	Nowpada S, Chirwa E C, Myler P, et al. Aluminum "egg-box" panel as an energy absorber for pedestrian protection. Adv Eng Mater, 2010, 12(7):591
[10]	Sashikumar S, Chirwa E C, Myler P, et al. Numerical investigation into the collapse behaviour of an aluminium egg-box under quasi-static loading. Int J Crashworthines, 2012, 17(6):582
[11]	Javid F, Smith-Roberge E, Innes M C, et al. Dimpled elastic sheets:a new class of non-porous negative Poisson's ratio materials. Sci Rep-UK, 2015, 5:18373
[12]	Xia Y Y, Friswell M I. Equivalent models of corrugated laminates for morphing skins//Proceedings of the Active and Passive Smart Structures and Integrated Systems V. San Diego, 2011:79771I-1
[13]	Xia Y, Friswell M I, Flores E I S. Equivalent models of corrugated panels. Int J Solids Struct, 2012, 49(13):1453
[14]	Briassoulis D. Equivalent orthotropic properties of corrugated sheets. Comput Struct, 1986, 23(2):129
[15]	Peng L X, Liew K M, Kitipornchai S. Analysis of stiffened corrugated plates based on the FSDT via the mesh-free method. Int J Mech Sci, 2007, 49(3):364
[16]	Ye Z, Berdichevsky V L, Yu W B. An equivalent classical plate model of corrugated structures. Int J Solids Struct, 2014, 51(11-12):2073
[17]	Berdichevsky V. Variational Principles of Continuum Mechanics:Ⅱ. Applications. Berlin:Springer Science&Business Media, 2009
[18]	Ye Z. Enhance Variational Asymptotic Method for Unit Cell Homogenization (VAMUCH) for Real Engineering Structures and Materials[Dissertation]. Logan Utah:Utah State University, 2013
[19]	Yu W B, Tang T. Variational asymptotic method for unit cell homogenization of periodically heterogeneous materials. Int J Solids Struct, 2007, 44(11-12):3738