湿度对蜂窝纸板缓冲性能影响的研究
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摘要
蜂窝纸板以其经济环保、性能优良等特点在近几年成为最广泛使用的缓冲包装材料之一,研究蜂窝纸板缓冲能量吸收特性对指导包装工程设计具有重要价值。
本文首先研究了湿度影响下原纸的力学特性,以定量分别为105 g/m~2高强瓦纸和定量160g/m~2的箱板纸为例,参照国家标准JB/T6544-93,GB/T 4857.2-2005,测得蜂窝原纸力学性能拉伸曲线,并分析了湿度对蜂窝原纸弹性模量及屈曲应力的影响规律。
基于静态压缩试验,测试了四个湿度(30%、50%、70%及90%)下不同材质不同结构的蜂窝纸板应力-应变曲线,分析出了湿度对于蜂窝纸板静态压缩线弹性区峰值应力、弹性模量及平台区应力σ_(pl)的影响,并通过对比蜂窝纸板平台应力σ_(pl)与蜂窝临界屈曲应力σ_(ys)及蜂窝胞壁厚跨比t/l的理论关系式曲线,进一步表征出湿度对于蜂窝纸板平台应力σ_(pl)的影响。
本文基于MATLAB平台构建了以标准化单位体积吸收能量和标准化应力为基本评价量的纸蜂窝结构能量吸收图,讨论了湿度对于蜂窝纸板能量吸收图的影响:随湿度增大,蜂窝纸板能量吸收图最佳能量吸收肩点左移变小。
论文研究结论对于研究环境因素对于包装材料缓冲性能的影响、完善蜂窝纸板缓冲性能评价技术、纸板结构参数优化设计具有重要价值。
Due to the environment-fiiendly,high property-to-cost ratio and favorable cushioning properties,the honeycomb paperboard is favorable to package,and one of wide-spread use packaging material.Research on energy absorption properties of honeycomb paperboard play an important role in the cushioning packaging design.
Analyzing the importance of testing elastic modulus of raw paper,illustrating the test method with 105g/m~2 and 160g/m~2 kraft paper,referring to the test standard JB/T6544-93 and GB/T 4857.2-2005,mechanical property of raw paper is tested,the effect of the humidity to elastic modulus E_s and the critical buckling stressσ_(pl) of the raw paper is analysed.
In this paper,stress- strain curves of different kinds of honeycomb paperboard is ploted, based on static compress experiment,under four relative humidity conditions(30%,50%,70% and 90%).Study the influence of the humidity to peak stress,elastic line elastic modulus E_s and the critical buckling stressσ_(pl) of the honeycomb paperboard.The influence of the humidity to the critical buckling stressσ_(pl) of the honeycomb paperboard is showed distinctly after contrast to relational expression of the critical buckling stressσ_(pl) of the honeycomb paperboard, buckling stressσ_(ys) and thickness-length ratio(t/l) of the honeycomb cell-wall.
From the factors of honeycomb paperboards,the models are respectively made for the energy absorption curves for the three distortion sections by subsection function.With the experiment,the model is characterized by energy absorption and stress,standardized by the solid modulus E_s of paper honeycomb cores.Different honeycomb structures with the different material under four relative humidity conditions(30%,50%,70%and 90%) can be illustrated by the same energy absorption curve.
These results indicate that with the increase of the relative humidity,elastic modulus E_s of the honeycomb paperboard reduce,the best energy absorption dot move left and reduce.
The conclusion of this paper play an importance role in analysis and research on the influence of the environmental factors to cushioning properties of packing material,estimate technique of the honeycomb paperboard cushioning properties,and structural parameter optimum design.
本文首先研究了湿度影响下原纸的力学特性,以定量分别为105 g/m~2高强瓦纸和定量160g/m~2的箱板纸为例,参照国家标准JB/T6544-93,GB/T 4857.2-2005,测得蜂窝原纸力学性能拉伸曲线,并分析了湿度对蜂窝原纸弹性模量及屈曲应力的影响规律。
基于静态压缩试验,测试了四个湿度(30%、50%、70%及90%)下不同材质不同结构的蜂窝纸板应力-应变曲线,分析出了湿度对于蜂窝纸板静态压缩线弹性区峰值应力、弹性模量及平台区应力σ_(pl)的影响,并通过对比蜂窝纸板平台应力σ_(pl)与蜂窝临界屈曲应力σ_(ys)及蜂窝胞壁厚跨比t/l的理论关系式曲线,进一步表征出湿度对于蜂窝纸板平台应力σ_(pl)的影响。
本文基于MATLAB平台构建了以标准化单位体积吸收能量和标准化应力为基本评价量的纸蜂窝结构能量吸收图,讨论了湿度对于蜂窝纸板能量吸收图的影响:随湿度增大,蜂窝纸板能量吸收图最佳能量吸收肩点左移变小。
论文研究结论对于研究环境因素对于包装材料缓冲性能的影响、完善蜂窝纸板缓冲性能评价技术、纸板结构参数优化设计具有重要价值。
Due to the environment-fiiendly,high property-to-cost ratio and favorable cushioning properties,the honeycomb paperboard is favorable to package,and one of wide-spread use packaging material.Research on energy absorption properties of honeycomb paperboard play an important role in the cushioning packaging design.
Analyzing the importance of testing elastic modulus of raw paper,illustrating the test method with 105g/m~2 and 160g/m~2 kraft paper,referring to the test standard JB/T6544-93 and GB/T 4857.2-2005,mechanical property of raw paper is tested,the effect of the humidity to elastic modulus E_s and the critical buckling stressσ_(pl) of the raw paper is analysed.
In this paper,stress- strain curves of different kinds of honeycomb paperboard is ploted, based on static compress experiment,under four relative humidity conditions(30%,50%,70% and 90%).Study the influence of the humidity to peak stress,elastic line elastic modulus E_s and the critical buckling stressσ_(pl) of the honeycomb paperboard.The influence of the humidity to the critical buckling stressσ_(pl) of the honeycomb paperboard is showed distinctly after contrast to relational expression of the critical buckling stressσ_(pl) of the honeycomb paperboard, buckling stressσ_(ys) and thickness-length ratio(t/l) of the honeycomb cell-wall.
From the factors of honeycomb paperboards,the models are respectively made for the energy absorption curves for the three distortion sections by subsection function.With the experiment,the model is characterized by energy absorption and stress,standardized by the solid modulus E_s of paper honeycomb cores.Different honeycomb structures with the different material under four relative humidity conditions(30%,50%,70%and 90%) can be illustrated by the same energy absorption curve.
These results indicate that with the increase of the relative humidity,elastic modulus E_s of the honeycomb paperboard reduce,the best energy absorption dot move left and reduce.
The conclusion of this paper play an importance role in analysis and research on the influence of the environmental factors to cushioning properties of packing material,estimate technique of the honeycomb paperboard cushioning properties,and structural parameter optimum design.
引文
[1]Dong-Mei Wang,Zhi-Wei Wang.Out-of-plane Compressive Properties of Hexagonal Paper honeycombs[J].Chinese Journalof Mechanical Engineering.2007,20(2):115-119.
[2]Dong-Mei Wang,Zhi-Wei Wang.Modelling of energy absorption curves of paper honeycomb sandwich structures[J].Paekaging Technology and Science.2008,21(6):309-316.
[3]Dong-Mei Wang,Zhi-Wei Wang.Energy absorption diagrams of paper honeycomb sandwich structures[J].Paekaging Technology and Science.2009,22(2):63-67.
[4]王冬梅,王志伟.纸质多孔结构材料缓冲性能研究进展[J].材料导报.2007.12(6):43-46
[5]王冬梅.蜂窝纸板与瓦楞纸板缓冲性能的研究[D].[博士学位论文].江苏无锡:江南大学,2003.
[6]王冬梅.蜂窝纸板压缩破坏机理研究[J].包装工程.2006,27(1):37-39
[7]王冬梅,廖强华.蜂窝纸板静态压缩力学性能建模研究[J].包装工程,2006,27(4):129-132
[8]王冬梅,王志伟.纸蜂窝压缩密实化应变评估[J].机械工程学报.2007.12(5):285-289
[9]王冬梅.折叠型纸蜂窝芯缓冲性能研究[J].包装工程,2006,28(6):42-43
[10]杨嫣红,王志伟.环保运输包装材料性能研究[D].江苏无锡:江南大学,2003.
[11]郭彦峰,张景绘,许文才等.蜂窝纸板及其缓冲衬垫缓冲特性研究[J].包装工程,2002,23(5):110-112.
[12]王梅.蜂窝纸板缓冲性能的研究及应用[J].包装工程,2000,21(4):5-9.
[13]张改梅.蜂窝纸板缓冲性能的研究[J].包装工程,2001,22(5):7-9.
[14]王贺石.组合蜂窝纸板的缓冲性能研究.化工与材料[J],2008,1:35-36
[15]彭键林.蜂窝纸板力学性能分析研究[D].云南昆明:昆明理工大学,2008
[16]蔡莹,卢立新.环境湿度对蜂窝纸板面外强度的影响[J].机电信息,2004,17:41-43
[17]辛成龙,郭彦峰.蜂窝纸板静态缓冲特性的实验研究与分析[J].包装工程,2008,01:56-58
[18]Gibson L J,Ashby M F.Cellular solids:structure and properties(second edition)[M].Cambridge:Cambridge University Press,1997.
[19]Wierzbieki T.Crushing analysis of metal honeycombs[J].lntemational Journal of Impact Engineering,1983,(1):157-174
[20]Chen D H,Ozaki S.Analysis of in-plane elastic modulus for a hexagonal honeycomb core:Effect of core height and proposed analytical method[J].Composite Structures,2009,(88):17-25
[21]Wu E,Jiang W S.Axial Crush of Metallic Honeycomb[J].International Journal of Impact Engineering,1997,19(5,6):439-456
[22]Timoshenko S.P.and Gere J.M..Theory of Elastic Stability,1961,New York:McGraw-Hill.
[23]Kobayashi H.,Daimaruya M.and Kobayashi T..Dynamic and static compression tests for paper honeycomb cores and absorbed energy.Muroran Inst of Technology,1998,41(3):338-344.
[24]Shafizadeh J.E.and Seferis J.C.Scaling of Honeycomb Compressive Yield Stresses.Smitubted to Composite:Part A,Applied Science and Manufacturing,2000,31:681-688.
[25]Hiroaki N,Tadaharu A,Wakako A.In-plane impact behavior of honeycomb structures randomly filled with rigid inclusions[J].International Journal of Impact Engineering,2009,(36):73-80
[26]Franklin P.E.and Hatae M.T..Shock and Vibration Handbook[M].Vol.Ⅱ,McGRAW-Hill Book Co.1961.
[27]彭国勋.运输包装[M].北京:印刷工业出版社,1999.
[28]Zhang J.and Ashby M.F..The out-of-plane properties of honeycombs[J].International Journal of Mechnical Science,1992,34(6):475-489.
[29]Shaftzadeh J.E.and Seferis J.C.Scaling of Honeycomb Compressive Yield Stresses[J].Smitubted to Composite:Part A,Applied Science and Manufacturing,2000,31:681-688.
[30]Miltz J.and Gruenbaum G..Evaluation of cushion properties of plastic foams compressive measurements[J].Polymer Engineering Science,1981,21(15):1010-1014.
[31]潘艺,胡时胜.泡沫铝动态力学性能的实验研究[J].材料科学与工程,2002,3:341-343.
[32]Paul A.,Ramamurty U..Materials Science and Engineering[J].2000,A281:127.
[33]康颖安,张俊彦,谭加才.相对密度对泡沫铝力学性能和能量吸收性能的影响[J].功能材料,2006,37(2):247-254.
[34]卢子兴,袁应龙.高应变率加载下复合泡沫塑料的吸能特性及失效机理研究[J].复合材料学报,2002,19(5):114-117.
[35]Gibson L.J.and Ashby M.F..Cellular Solids:Structure and Properties(Second Edition)[M].Cambridge:Cambridge University press,1997.
[36]胡时胜,刘剑飞,王悟.硬质聚氨酯泡沫塑料的缓冲吸能特性评估[J].爆炸与冲击,1998,18(1):42-47.
[37]蒋家桥,黄西成,胡时胜.泡沫金属缓冲器的设计新方法及应用[J].爆炸与冲击,2004,24(6):519-523.
[38]利克智.基于能量吸收法的缓冲包装系统设计系统[D].2008
[39]GB/T4857.2-2005包装.运输包装-温湿度处理条件.国家标准局.
[40]JB/T 6544-93塑料拉伸和弯曲弹性模量试验方法.中华人民共和国机械行业标准.
[41]GB/T8168-2008包装用缓冲材料静态压缩试验方法.国家标准局.
[42]ZHQ-152环压强度试验取样器使用说明书.长春市纸张试验机厂.
[43]王志伟,武冬雁,钱静.矩形脉冲激励下正切型非线性包装系统的冲击响应[J].振动与冲击,1999,18(3):48-52
[46]王军,王志伟.半正弦脉冲激励下考虑易损件(关键部件)的正切型包装系统冲击特性研究[J].振动与冲击,2008,27(1):167-168.
[47]王军,王志伟.考虑易损件(关键部件)的正切型包装系统冲击破损边界曲面研究[J].振动与冲击,2008,27(2):166-167.
[48]王军,王志伟.阻尼对正切型包装系统关键部件冲击谱影响[J].振动与冲击,2008,27(9):175-177
[49]Zhang J.and Ashby.M.F..The out-of-plane properties of honeycombs[J].Mech.Sci,1992,34(6):475-489.
[50]Wierzbicki T..Internation Journal of Impact Engineering,1983.
[2]Dong-Mei Wang,Zhi-Wei Wang.Modelling of energy absorption curves of paper honeycomb sandwich structures[J].Paekaging Technology and Science.2008,21(6):309-316.
[3]Dong-Mei Wang,Zhi-Wei Wang.Energy absorption diagrams of paper honeycomb sandwich structures[J].Paekaging Technology and Science.2009,22(2):63-67.
[4]王冬梅,王志伟.纸质多孔结构材料缓冲性能研究进展[J].材料导报.2007.12(6):43-46
[5]王冬梅.蜂窝纸板与瓦楞纸板缓冲性能的研究[D].[博士学位论文].江苏无锡:江南大学,2003.
[6]王冬梅.蜂窝纸板压缩破坏机理研究[J].包装工程.2006,27(1):37-39
[7]王冬梅,廖强华.蜂窝纸板静态压缩力学性能建模研究[J].包装工程,2006,27(4):129-132
[8]王冬梅,王志伟.纸蜂窝压缩密实化应变评估[J].机械工程学报.2007.12(5):285-289
[9]王冬梅.折叠型纸蜂窝芯缓冲性能研究[J].包装工程,2006,28(6):42-43
[10]杨嫣红,王志伟.环保运输包装材料性能研究[D].江苏无锡:江南大学,2003.
[11]郭彦峰,张景绘,许文才等.蜂窝纸板及其缓冲衬垫缓冲特性研究[J].包装工程,2002,23(5):110-112.
[12]王梅.蜂窝纸板缓冲性能的研究及应用[J].包装工程,2000,21(4):5-9.
[13]张改梅.蜂窝纸板缓冲性能的研究[J].包装工程,2001,22(5):7-9.
[14]王贺石.组合蜂窝纸板的缓冲性能研究.化工与材料[J],2008,1:35-36
[15]彭键林.蜂窝纸板力学性能分析研究[D].云南昆明:昆明理工大学,2008
[16]蔡莹,卢立新.环境湿度对蜂窝纸板面外强度的影响[J].机电信息,2004,17:41-43
[17]辛成龙,郭彦峰.蜂窝纸板静态缓冲特性的实验研究与分析[J].包装工程,2008,01:56-58
[18]Gibson L J,Ashby M F.Cellular solids:structure and properties(second edition)[M].Cambridge:Cambridge University Press,1997.
[19]Wierzbieki T.Crushing analysis of metal honeycombs[J].lntemational Journal of Impact Engineering,1983,(1):157-174
[20]Chen D H,Ozaki S.Analysis of in-plane elastic modulus for a hexagonal honeycomb core:Effect of core height and proposed analytical method[J].Composite Structures,2009,(88):17-25
[21]Wu E,Jiang W S.Axial Crush of Metallic Honeycomb[J].International Journal of Impact Engineering,1997,19(5,6):439-456
[22]Timoshenko S.P.and Gere J.M..Theory of Elastic Stability,1961,New York:McGraw-Hill.
[23]Kobayashi H.,Daimaruya M.and Kobayashi T..Dynamic and static compression tests for paper honeycomb cores and absorbed energy.Muroran Inst of Technology,1998,41(3):338-344.
[24]Shafizadeh J.E.and Seferis J.C.Scaling of Honeycomb Compressive Yield Stresses.Smitubted to Composite:Part A,Applied Science and Manufacturing,2000,31:681-688.
[25]Hiroaki N,Tadaharu A,Wakako A.In-plane impact behavior of honeycomb structures randomly filled with rigid inclusions[J].International Journal of Impact Engineering,2009,(36):73-80
[26]Franklin P.E.and Hatae M.T..Shock and Vibration Handbook[M].Vol.Ⅱ,McGRAW-Hill Book Co.1961.
[27]彭国勋.运输包装[M].北京:印刷工业出版社,1999.
[28]Zhang J.and Ashby M.F..The out-of-plane properties of honeycombs[J].International Journal of Mechnical Science,1992,34(6):475-489.
[29]Shaftzadeh J.E.and Seferis J.C.Scaling of Honeycomb Compressive Yield Stresses[J].Smitubted to Composite:Part A,Applied Science and Manufacturing,2000,31:681-688.
[30]Miltz J.and Gruenbaum G..Evaluation of cushion properties of plastic foams compressive measurements[J].Polymer Engineering Science,1981,21(15):1010-1014.
[31]潘艺,胡时胜.泡沫铝动态力学性能的实验研究[J].材料科学与工程,2002,3:341-343.
[32]Paul A.,Ramamurty U..Materials Science and Engineering[J].2000,A281:127.
[33]康颖安,张俊彦,谭加才.相对密度对泡沫铝力学性能和能量吸收性能的影响[J].功能材料,2006,37(2):247-254.
[34]卢子兴,袁应龙.高应变率加载下复合泡沫塑料的吸能特性及失效机理研究[J].复合材料学报,2002,19(5):114-117.
[35]Gibson L.J.and Ashby M.F..Cellular Solids:Structure and Properties(Second Edition)[M].Cambridge:Cambridge University press,1997.
[36]胡时胜,刘剑飞,王悟.硬质聚氨酯泡沫塑料的缓冲吸能特性评估[J].爆炸与冲击,1998,18(1):42-47.
[37]蒋家桥,黄西成,胡时胜.泡沫金属缓冲器的设计新方法及应用[J].爆炸与冲击,2004,24(6):519-523.
[38]利克智.基于能量吸收法的缓冲包装系统设计系统[D].2008
[39]GB/T4857.2-2005包装.运输包装-温湿度处理条件.国家标准局.
[40]JB/T 6544-93塑料拉伸和弯曲弹性模量试验方法.中华人民共和国机械行业标准.
[41]GB/T8168-2008包装用缓冲材料静态压缩试验方法.国家标准局.
[42]ZHQ-152环压强度试验取样器使用说明书.长春市纸张试验机厂.
[43]王志伟,武冬雁,钱静.矩形脉冲激励下正切型非线性包装系统的冲击响应[J].振动与冲击,1999,18(3):48-52
[46]王军,王志伟.半正弦脉冲激励下考虑易损件(关键部件)的正切型包装系统冲击特性研究[J].振动与冲击,2008,27(1):167-168.
[47]王军,王志伟.考虑易损件(关键部件)的正切型包装系统冲击破损边界曲面研究[J].振动与冲击,2008,27(2):166-167.
[48]王军,王志伟.阻尼对正切型包装系统关键部件冲击谱影响[J].振动与冲击,2008,27(9):175-177
[49]Zhang J.and Ashby.M.F..The out-of-plane properties of honeycombs[J].Mech.Sci,1992,34(6):475-489.
[50]Wierzbicki T..Internation Journal of Impact Engineering,1983.