Finite element analysis of dynamic compression response of trapezoidal polyethylene foam structure

PDF(1080 KB)

Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (14) : 234-238.

LU Fude1，HUA Guangjun1,WANG Lishu1,LIU Qilong1，GAO De2

Author information +

History +

Abstract

The existing five-step method of cushioning packaging is limited to the design and calculation of the area and thickness of cuboid structure, but this method can not be used in trapezoidal structure design.In order to study the dynamic compression response of trapezoidal structure and provide the basis for design, a series of experiments and theoretical analysis were carried out on the trapezoidal structure of expanded polyethylene.Based on the low density foam constitutive model in ABAQUS, a two-dimensional finite element model was established.Then, on the basis of one-dimensional dynamic constitutive relation of expanded polyethylene, the dynamic compression response of trapezoidal expanded polyethylene structure was analyzed by virtual mass method.The numerical simulation results showed that the two-dimensional finite element model can accurately obtain the mechanical behavior and deformation mode of any trapezoidal foam structure.When the virtual mass method is used to analyze the mechanical response of gradient structure, the analysis error increases with the increase of taper of trapezoidal foam, which is caused by the uneven deformation of trapezoidal foam structure.So the virtual mass method has high accuracy in solving the dynamic response of foam structures only with small taper.

Key words

trapezoidal structure；expanded polyethylene / low density foam / finite element model / virtual mass

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

LU Fude1，HUA Guangjun1,WANG Lishu1,LIU Qilong1，GAO De2. Finite element analysis of dynamic compression response of trapezoidal polyethylene foam structure[J]. Journal of Vibration and Shock, 2019, 38(14): 234-238

References

[1] Singh J, Ignatova L, Olsen E, et al. Evaluation of stress–energy methodology to predict transmitted shock through expanded foam cushion[J]. Journal of Testing and Evaluation ,2010,38(6): 1–7.
[2] Navarro-Javierre P, De-La-Cruz-Navarro E. Evaluation of two simplified methods for determining cushion curves of closed cell foams[J]. Packaging Technology & Science, 2012, 25(4):217–231.
[3] Sek M, Minett M, Rouillard V, et al. A new method for determination of cushion curves[J]. Packaging Technology & Science, 2000, 13(6): 249–255
[4] Li G, Rouillard V, Sek M A. Evaluation of static and dynamic cushioning properties of polyethylene foam for determining its cushion curves[J]. Packaging Technology & Science, 2015, 28(1):47-57.
[5] Piatkowski T , Osowski P. Modified method for dynamic stress‐strain curve determination of closed‐cell foams[J]. Packaging Technology & Science , 2016 , 29 (6) :337-349.
[6] Mcgee S D, Batt G S, Gibert J M, et al. Predicting the effect of temperature on the shock absorption properties of polyethylene foam[J]. Packaging Technology & Science, 2017, 30(8):477-494.
[7] Mills N J, Masso-Moreu Y. Finite element analysis (FEA) applied to polyethylene foam cushions in package drop tests[J]. Packaging Technology & Science, 2005, 18(1):29–38.
[8] Hammou A D, Duong P T M, Abbès B, et al. Finite-element simulation with a homogenization model and, experimental study of free drop tests of corrugated cardboard packaging[J]. Mechanics & Industry, 2012, 13(3):175-184.
[9] Ge C, Huang H Q. Corner foam versus flat foam: an experimental comparison on cushion performance[J]. Packaging Technology & Science, 2015,28(3):217-225.
[10] Lu F D,TaoW M,Gao D.Virtual mass method for solution of dynamic response of composite cushion packaging system[J]. Packaging Technology & Science,2013,26(S1):32-42.
[11] Masso-Moreu Y, Mills N J. Impact compression of polystyrene foam pyramids[J]. International Journal of Impact Engineering, 2003, 28(6):653-676.
[12] 卢富德，陶伟明，周建伟，高德，王炳涛. 头部-聚苯乙烯泡沫-铝蜂窝缓冲系统冲击响应与优化设计[J]. 振动工程学报，2016,29(5):900-904.
Lu F D,Tao W M,Zhou JW, et al.Impact responses and optimization design for a head-EPS-Aluminum honeycomb cushioning system[J]. Journal of Vibration Engineering, 2016,29(5):900-904.
[13] Ozturk U E, Anlas G. Finite element analysis of expanded polystyrene foam under multiple compressive loading and unloading[J]. Materials & Design, 2011, 32(2):773-780.
[14] Cronin D S,Ouellet S. Low density polyethylene, expanded polystyrene and expanded polypropylene: Strain rate and size effects on mechanical properties[J].Polymer Testing , 2016 , 53(1) :40-50.
[15] 卢富德，高德.功能梯度泡沫动力学响应分析[J]. 振动与冲击，2014,33(15):54-57.
LU Fu-de,GAO De. Dynamic response of a functionally graded foam structur[J].Journal of Vibration and Shock, 2014,33(15):54-57
[16] Batt B G S, Gibert J M, Daqaq M. Primary Resonance behaviour of a nonlinear, viscoelastic model of expanded polymer cushion material[J]. Packaging Technology & Science , 2015, 28(8):694-709.
[17] 卢富德，陶伟明，高德.具有简支梁式易损部件的产品包装系统跌落冲击研究[J].振动与冲击，2012 ，31 (15): 79- 81.
Lu Fu-de,Tao Wei-ming,Gao De.Drop imact analysis on item packaging system with beam type elastic critical component[J]. Journal of Vibration and Shock, 2012 ，31 (15): 79- 81.
[18] 张炜，薛飞，卢富德，等. 考虑易损件物品-EPE缓冲系统冲击响应分析[J]. 振动与冲击, 2015, 34(9): 116-119
Zhang W, XUE F,LU F D,etal.Impact-response analysis of the system composed of critical component and EPE cushion[J]. Journal of Vibration and Shock, 2015,34 (9): 116-119.