Study on the Effect of Fatigue Damage on Inner-resonance Conditions Parameters of Honeycomb Paperboard System
FAN Zhi-geng1,2, LU Li-xin1,3,WANG Jun1,3
1.Department of Packaging Engineering, Jiangnan University, Wuxi 214122, China;
2. School of light industry, Zhejiang University of Science and Technology, Hangzhou 310023;
3. Key Laboratory of Food Packaging Techniques and Safety of China National Packaging Corporation, Wuxi 214122, China
The variation of the inner-resonance conditions parameters of honeycomb paperboard system was studied under fatigue compression. First, a certain degree of pre-compression of honeycomb is tested, and then different number of fatigue compression tests, last quasi-static compression tests. Get constitutive model parameter values after polynomial the strain-stress curves of honeycomb paperboard. Obtain single-degree-of-freedom and double-degrees-of -freedom inner-resonance resonance conditions by using the variational iteration method. Finally, calculate the constitutive model parameters within the inner-resonance conditions parameters variation. The results are significant to avoiding inner-resonance conditions during the honeycomb cushion packaging design.
范志庚1,2, 卢立新1,3,王军1,3. 疲劳效应对蜂窝纸板系统的内共振条件参数影响的研究[J]. 振动与冲击, 2016, 35(11): 203-207.
FAN Zhi-geng1,2, LU Li-xin1,3,WANG Jun1,3. Study on the Effect of Fatigue Damage on Inner-resonance Conditions Parameters of Honeycomb Paperboard System. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(11): 203-207.
[1] Wang Zhi-Wei, E Yu-Ping. Mathematical modeling of energy absorption property for paper honeycomb in various ambient humidities[J]. Materials and Design, 2010, 31 (9): 4321-4328.
[2] E Yu-Ping. Energy Absorption Properties of Paper-Based Packaging Materials as Response to Various Ambient Humidities[J]. Applied Mechanics and Materials, 2012, 200:155-159.
[3]Wang Z W. On evaluation of product dropping damage [J]. Packaging Technology and Science, 2002, 15(3): 115-120.
[4]Wang Z W. Dropping damage boundary curves for cubic and tangent package cushioning systems [J]. Packaging Technology and Science, 2002, 15(5): 263-266.
[5]Jiang J H, Wang Z W. Dropping damage boundary curves for cubic and hyperbolic tangent packaging systems based on key component[J]. Packaging Technology and Science, 2012, 25(7): 397-411.
[6]Guo Y, Zhang J. Shock absorbing characteristics and vibration transmissibility of honeycomb paperboard[J]. Shock and Vibration, 2004, 11(5): 521-531.
[7]肖伟,李大纲,徐朝阳.疲劳振动对蜂窝纸板承载力和缓冲性能的影响[J].包装工程,2009.30(1):14-17,21.
Xiao Wei, Li Da-gang, Xu Zhao-yang. Influence of Fatigue Vibration on the Load Capacity and Cushion Performance of Honeycomb Cardboard[J]. Packaging Engineering, 2009, 30(1):14-17, 21.
[8] 孙聚杰. 瓦楞纸板承载能力疲劳损伤曲线研究[J]. 包装工程, 2008, 29(12):4-10.
Sun JJ. Research on fatigue damage curve of corrugated cardboard[J]. Packaging Engineering,2008, 29(12): 4-10.
[9] 孙聚杰, 卢立新. 剩余强度模型对瓦楞纸板疲劳振动的分析研究[J].包装工程, 2007, 28(8):19-21.
Sun JJ, Lu Li-xin. Study of fatigue vibration Effect on corrugated fiberboard based on residual strength model[J]. Packaging Engineering, 2007, 28(8): 19-21.
[10] Wang J, Khan Y, Lu L X, et al. Inner resonance of a coupled hyperbolic tangent nonlinear oscillator arising in a packaging system[J]. Applied Mathematics and Computation, 2012, 218(15): 7876-7879.
[11]卢富德,高德. 考虑蜂窝纸板箱缓冲作用的产品包装系统跌落冲击研究[J]. 振动工程学报,2012,25(3): 335-341.
Lu F D, Gao D. Study on drop impact of packaging system considering the cushioning action of honeycomb paperboard box[J]. Journal of Vibration Engineering, 2012,25(3):335-341.
[12]高德,卢富德.考虑转动的双曲正切与正切组合模型缓冲系统冲击响应研究[J]. 振动工程学报,2012,25(1):6-11.
Gao D, Lu F D. The shock response of hyperbolic tangent and tangent comprehensive model on cushion system considering rotary motion[J]. Journal of Vibration Engineering, 2012,25(1):6-11.
[13]卢富德,高德,梁爱锋.立方非线性双层包装在矩形方波冲击下破损边界曲线的研究[J].包装工程,2008, 29(12):7-10.
Lu F D, Gao D. Study of Damage Boundary Curve of Cubic Non-linear Double Layer Package under Rectangular Pulse[J].Packaging Engineering,2008.29(12):7-10.
[14] Fan Zhi-geng, Lu Li-xin. Effect of fatigue damage on inner-resonance conditions of pre-compressed honeycomb paperboard system[J].Advances in Mechanical Engineering, Volume 2014, Article ID 817404, 5 pages.
[15] Jiang J H, Wang Z W. The research on the vibration characteristics for honeycomb paperboard cushioning package system[J]. Journal of Hubei University of Technology, 2006, 21(3):18-20.
[16] He J H, Wu X-H. Variational Iteration Method: New Development And Applications [J]. Computers and Mathematics with Applications, 2007, 54(7–8): 881-894.