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MA W , XIE S C , LI Z X . Mechanical performance of bio-inspired corrugated tubes with varying vertex configurations [J ] . International Journal of Mechanical Sciences , 2020 , 172 : 105399 . DOI: 10.1016/j.ijmecsci.2019.105399 http://doi.org/10.1016/j.ijmecsci.2019.105399 https://linkinghub.elsevier.com/retrieve/pii/S0020740319327481 https://linkinghub.elsevier.com/retrieve/pii/S0020740319327481

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KANG J F , GUO Y F , FU Y G , et al. Cushioning energy absorption of paper corrugation tubes with regular polygonal cross-section under axial static compression [J ] . Science and Engineering of Composite Materials , 2021 , 28 : 24 - 38 . DOI: 10.1515/secm-2021-0003 http://doi.org/10.1515/secm-2021-0003 https://www.degruyter.com/document/doi/10.1515/secm-2021-0003/html https://www.degruyter.com/document/doi/10.1515/secm-2021-0003/html

GUO Y F , JI M J , FU Y G , et al. Cushioning energy absorption of regular polygonal paper corrugation tubes under axial drop impact [J ] . Science and Engineering of Composite Materials , 2020 , 27 : 469 - 483 . DOI: 10.1515/secm-2020-0051 http://doi.org/10.1515/secm-2020-0051 https://www.degruyter.com/document/doi/10.1515/secm-2020-0051/html https://www.degruyter.com/document/doi/10.1515/secm-2020-0051/html The paper corrugation tube is an attractive and innovative mode of cushioning protection and energy absorption for the general protection and packaging technology of military and civil products. The aims of this paper focus on the dynamic compression characteristics of four kinds of regular polygonal paper corrugation tubes under the conditions of axial drop impacts, and the influence rules of structural parameters and load parameters on the dynamic cushioning energy absorption. The results show that, the tube direction has a crucial effect on the deformation mode of the paper corrugation tubes, the deformation of X-direction paper corrugation tubes has a stable accordion mode, but that of Y-direction paper corrugation tubes is a mixture of steady progressive buckling and other non-ideal modes. The X-direction paper corrugation tubes have lower peak stress, stable and controllable deformation mode with multiple folds, and higher total energy absorption, unit area energy absorption, specific energy absorption and stroke efficiency than the Y-direction paper corrugation tubes. Moreover, the change of cross-section shape of X-direction paper corrugation tubes has no obvious influence on the total energy absorption, while the total energy absorption of Y-direction paper corrugation tube obviously rises with the increase of the number of cross-section edges of the tubes, but the unit area energy absorption, specific energy absorption and stroke efficiency decrease with the increase of the number of cross-section edges of the tubes. Moreover, the increase of the number of cross-section edges of the tubes made the total energy absorption of Y-direction tubes rise, while the total energy absorption of X-direction tubes has no obvious change. But the unit area energy absorption, specific energy absorption and stroke efficiency decrease with the increase of the number of cross-section edges of the tubes. Furthermore, the tube length, impact block mass and impact energy have also important influence on the cushioning energy absorption of the paper corrugation tubes under axial drop impact.

韦青 , 郭彦峰 , 付云岗 , 等 . 聚乙烯泡沫单填充纸蜂窝夹层管的轴向缓冲吸能特性 [J ] . 机械工程学报 , 2021 , 57 ( 2 ): 112 - 120 . DOI: 10.3901/JME.2021.02.112 http://doi.org/10.3901/JME.2021.02.112 借鉴波纹管、夹层管和泡沫填充管等设计思想，利用纸蜂窝和聚乙烯泡沫这两种优质缓冲吸能材料，提出聚乙烯泡沫单填充正多边形纸蜂窝夹层管的设计思路。通过静态和动态轴向压缩试验分析，研究这类结构的轴向缓冲吸能特性，探讨结构参数、跌落冲击参数对变形特征和关键吸能指标的影响，为其结构设计与性能优化提供参考。结果表明，在轴向静态压缩情况下，单填充纸蜂窝夹层管发生渐进屈曲变形且泡沫发生非均匀变形，X向管的屈服强度、压溃强度和塑性平台应力均优于Y向管。随着管横截面边数的增加，单填充管的比吸能、行程利用率和比总体效率都呈下降的趋势。在轴向跌落冲击载荷作用下，X向管的比吸能、比总体效率都高于Y向管，而行程利用率低于Y向管。随着管长比或管横截面边数的增加，管的比吸能、行程利用率和比总体效率都有明显的下降，而随着跌落冲击能量的增加，管的比吸能、行程利用率和比总体效率近似于线性增加。

WEI Q , GUO Y F , FU Y G , et al. Cushioning energy absorption of paper honeycomb sandwich tube single-filled by polyethylene foam under axial drop impact [J ] . Journal of Mechanical Engineering , 2021 , 57 ( 2 ): 112 - 120 . (in Chinese) DOI: 10.3901/JME.2021.02.112 http://doi.org/10.3901/JME.2021.02.112 Referring the design concepts of the corrugation tube, sandwich tube, and foam-filled tube, and employing two kinds of excellent cushioning energy-absorbing materials such as paper honeycomb and polyethylene foam, the design method of regular polygonal paper honeycomb sandwich tube single-filled by polyethylene foam is proposed. The influences of structural parameters, drop impact parameters on deformation characteristics and key energy-absorbing indices are analyzed so as to provide a reference for the structural design and performance optimization. The results show that, the single-filled paper honeycomb sandwich tube clearly takes on progressive buckling deformation accompanying non-uniform deformation of polyethylene foam at axial static compression. The <i>X</i>-direction tube has higher yield strength, crushing strength and plastic plateau stress than the <i>Y</i>-direction tube. With the increase of tubular cross-section edge number, the specific energy absorption, stroke efficiency and specific total efficiency of the single-filled tube show a decreasing trend. For the axial drop impact loading, the specific energy absorption, specific total efficiency of the <i>X</i>-direction tube are better than the <i>Y</i>-direction tube, yet the stroke efficiency is less than the <i>Y</i>-direction tube. As the tubular length ratio or the tubular cross-section edge number increase, the specific energy absorption, stroke efficiency and specific total efficiency of the tube obviously decrease. Yet the impact energy increases, the specific energy absorption, stroke efficiency and specific total efficiency of the tube are approximate linearly increased.

韩旭香 , 郭彦峰 , 韦青 , 等 . 聚乙烯泡沫单填充纸瓦楞管的轴向跌落冲击缓冲吸能特性 [J ] . 爆炸与冲击 , 2020 , 40 ( 6 ): 41 - 56 .

HAN X X , GUO Y F , WEI Q , et al. Cushioning energy absorption of polyethylene foam single-filled paper corrugation tubes under axial drop impact [J ] . Explosion and Shock Waves , 2020 , 40 ( 6 ): 41 - 56 . (in Chinese)

韩旭香 . 聚乙烯泡沫填充纸瓦楞/纸蜂窝双管的缓冲吸能特性研究 [D ] . 西安 : 西安理工大学 , 2021 .

HAN X X . Cushioning energy absorption of paper corrugation/honeycomb double tube filled by polyethylene foam under axial drop impact [D ] . Xi’an : Xi’an University of Technology , 2021 . (in Chinese)

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WIERZBICKI T , ABRAMOWICZ W . On the crushing mechanics of thin-walled structures [J ] . Journal of Applied Mechanics , 1983 , 50 : 727 - 734 . DOI: 10.1115/1.3167137 http://doi.org/10.1115/1.3167137 https://asmedigitalcollection.asme.org/appliedmechanics/article/50/4a/727/390676/On-the-Crushing-Mechanics-of-ThinWalled-Structures https://asmedigitalcollection.asme.org/appliedmechanics/article/50/4a/727/390676/On-the-Crushing-Mechanics-of-ThinWalled-Structures A self-consistent theory is presented which describes the crushing behavior of a class of thin-walled structures. Assuming a rigid-plastic material and using the condition of kinematic continuity on the boundaries between rigid and deformable zones, a basic folding mechanism is constructed. This mechanism closely reproduces all the main features of folds and wrinkles actually observed on typical crumpled sheet metal structures. Calculations based on the energy balance postulate show that two-thirds of the plastic energy is always dissipated through inextensional deformations at stationary and moving plastic hinge lines. The extensional deformations are confined to relatively small sections of the shell surface but they account for the remaining one-third of the dissipated energy. The theory is illustrated by application to the problem of progressive folding of thin-walled rectangular columns. A good correlation is obtained with existing experimental data as far as the mean crushing force and the geometry of the local collapse mode is concerned.