Study on Honeycomb Structure of Negative Poisson′s Ratio Element
-
摘要: 以传统凹角六边形负泊松比结构为主要参考对象，通过拓扑优化得到较为完整的负泊松比基元优化构型，并基于该构型建立了6种基元几何模型。探讨了不同蜂窝排列方式下的蜂窝结构性能差异，选取合适的排列方式对6种基元建立的蜂窝结构进行了冲击仿真研究。以吸能量、比吸能、峰值碰撞力及结构等效泊松比为评价指标，对比分析了不同基元蜂窝结构的结构性能，筛选出综合性能最优的基元结构。选取汽车前端结构，将传统凹角六边形结构及最优基元结构进行三维排列组合填充入吸能盒内，进行了汽车前端碰撞应用对比。结果表明基于拓扑优化的各基元结构在吸能效果及承载能力上皆高于传统凹角六边形结构，选取的最优基元结构在汽车前端碰撞应用中具有更好的吸能效果及负泊松比特性，其压溃距离大大降低。Abstract: Taking the traditional concave hexagon Poisson′s ratio structure as the main reference object, a relatively complete negative Poisson′s ratio element optimization structure was obtained through topology optimization, and six elementary geometric models were established based on this structure. The differences in the performance of honeycomb structures under different honeycomb arrangements were discussed, and the impact simulation study on the honeycomb structure established by six kinds of elements was carried out by selecting suitable arrangements. Taking the energy absorption, specific energy absorption, peak crushing force and structural equivalent Poisson′s ratio as evaluation indexes, the structural performance of different element honeycomb structures was compared and analyzed, and the element structure with the best comprehensive performance was selected. The front-end structure of the car was selected, and the traditional concave hexagon structure and the optimal element structure were three-dimensionally arranged and combined into the energy absorbing box, and the application of the front-end collision of the car was compared. The results show that each element structure based on topology optimization is higher in energy absorption effect and load-bearing capacity than the traditional concave hexagon structure. The selected optimal element structure has better energy absorption effect and negative Poisson′s ratio characteristics in the front-end collision application of automobiles, and its crushing distance is greatly reduced.
-
[1] LAKES R. Foam structures with a negative Poisson's ratio[J]. Science, 1987, 235(4792): 1038-1040 doi: 10.1126/science.235.4792.1038 [2] EVANS K E, CADDOCK B D. Microporous materials with negative Poisson's ratios. Ⅱ. Mechanisms and interpretation[J]. Journal of Physics D: Applied Physics, 1989, 22: 1883-1887 doi: 10.1088/0022-3727/22/12/013 [3] 杨智春, 邓庆田. 负泊松比材料与结构的力学性能研究及应用[J]. 力学进展, 2011, 41(3): 335-350 https://www.cnki.com.cn/Article/CJFDTOTAL-LXJZ201103007.htmYANG Z C, DENG Q T. Mechanical property and application of materials and structures with negative Poisson's ratio[J]. Advances in Mechanics, 2011, 41(3): 335-350 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-LXJZ201103007.htm [4] 于靖军, 谢岩, 裴旭. 负泊松比超材料研究进展[J]. 机械工程学报, 2018, 54(13): 1-14 https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201813001.htmYU J J, XIE Y, PEI X. State-of-art of metamaterials with negative Poisson's ratio[J]. Journal of Mechanical Engineering, 2018, 54(13): 1-14 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXXB201813001.htm [5] BAUGHMAN R H, SHACKLETTE J M, ZAKHIDOV A A, et al. Negative Poisson's ratios as a common feature of cubic metals[J]. Nature, 1998, 392(6674): 362-365 doi: 10.1038/32842 [6] LI C, SHEN H S, WANG H. Nonlinear dynamic response of sandwich beams with functionally graded negative Poisson's ratio honeycomb core[J]. The European Physical Journal Plus, 2019, 134(2): 79 doi: 10.1140/epjp/i2019-12572-7 [7] LI D, YIN J H, DONG L, et al. Numerical analysis on mechanical behaviors of hierarchical cellular structures with negative Poisson's ratio[J]. Smart Materials and Structures, 2017, 26(2): 025014 doi: 10.1088/1361-665X/26/2/025014 [8] QIN H X, YANG D Q. Vibration reduction design method of metamaterials with negative Poisson's ratio[J]. Journal of Materials Science, 2019, 54(22): 14038-14054 doi: 10.1007/s10853-019-03903-z [9] TAN H L, HE Z C, LI K X, et al. In-plane crashworthiness of re-entrant hierarchical honeycombs with negative Poisson's ratio[J]. Composite Structures, 2019, 229: 111415 doi: 10.1016/j.compstruct.2019.111415 [10] WANG C Y, ZOU S C, ZHAO W Z. Multi-objective optimization of a novel crash box with a three-dimensional negative Poisson's ratio inner core[J]. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2019, 233(2): 263-275 doi: 10.1177/0954407017741780 [11] 崔世堂, 王波, 张科. 负泊松比蜂窝面内动态压缩行为与吸能特性研究[J]. 应用力学学报, 2017, 34(5): 919-924 https://www.cnki.com.cn/Article/CJFDTOTAL-YYLX201705018.htmCUI S T, WANG B, ZHANG K. Mechanical behavior and energy absorption of honeycomb with negative Poisson's ratio under in-plane dynamic compression[J]. Chinese Journal of Applied Mechanics, 2017, 34(5): 919-924 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YYLX201705018.htm [12] QIANG G C, WANG L M, GAO Q. Dynamic crushing behaviors of four kinds of auxetic structures[R]. SAE Technical Paper, SAE, 2019 [13] WANG C Y, WANG W W, ZHAO W Z, et al. Reliability optimization of a novel negative Poisson's ratio forepart for pedestrian protection[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2018, 232(17): 2998-3012 doi: 10.1177/0954406217730441 [14] 秦浩星, 杨德庆. 任意负泊松比超材料结构设计的功能基元拓扑优化法[J]. 复合材料学报, 2018, 35(4): 1014-1023 https://www.cnki.com.cn/Article/CJFDTOTAL-FUHE201804031.htmQIN H X, YANG D Q. Functional element topology optimal method of metamaterial design with arbitrary negative Poisson's ratio[J]. Acta Materiae Compositae Sinica, 2018, 35(4): 1014-1023 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-FUHE201804031.htm [15] 王昱, 吕恩利, 王亚娟, 等. 负泊松比负热膨胀超材料微结构拓扑优化设计[J]. 上海理工大学学报, 2016, 38(6): 551-556 https://www.cnki.com.cn/Article/CJFDTOTAL-HDGY201606008.htmWANG Y, LYU E L, WANG Y J, et al. Topology optimization design of microstructured metamaterials with negative Poisson's ratio and negative thermal expansion[J]. Journal of University of Shanghai for Science and Technology, 2016, 38(6): 551-556 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-HDGY201606008.htm [16] QIN H X, YANG D Q, REN C H. Modelling theory of functional element design for metamaterials with arbitrary negative Poisson's ratio[J]. Computational Materials Science, 2018, 150: 121-133 doi: 10.1016/j.commatsci.2018.03.056 [17] 侯秀慧, 尹冠生. 负泊松比蜂窝抗冲击性能分析[J]. 机械强度, 2016, 38(5): 905-910 https://www.cnki.com.cn/Article/CJFDTOTAL-JXQD201605001.htmHOU X H, YIN G S. Dynamic crushing performance analysis for auxetic honeycomb structure[J]. Journal of Mechanical Strength, 2016, 38(5): 905-910 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXQD201605001.htm [18] 邓小林, 刘旺玉. 一种负泊松比正弦曲线蜂窝结构的面内冲击动力学分析[J]. 振动与冲击, 2017, 36(13): 103-109, 154 https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201713018.htmDENG X L, LIU W Y. In-plane impact dynamic analysis for a sinusoidal curved honeycomb structure with negative Poisson's ratio[J]. Journal of Vibration and Shock, 2017, 36(13): 103-109, 154 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZDCJ201713018.htm [19] 卢子兴, 李康. 负泊松比蜂窝动态压溃行为的有限元模拟[J]. 机械强度, 2016, 38(6): 1237-1242 https://www.cnki.com.cn/Article/CJFDTOTAL-JXQD201606018.htmLU Z X, LI K. Dynamic crushing of honeycombs with a negative Poisson's ratio-a finite element study[J]. Journal of Mechanical Strength, 2016, 38(6): 1237-1242 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXQD201606018.htm [20] 马芳武, 梁鸿宇, 赵颖, 等. 内凹三角形负泊松比结构耐撞性多目标优化设计[J]. 吉林大学学报, 2020, 50(1): 29-35 https://www.cnki.com.cn/Article/CJFDTOTAL-JLGY202001003.htmMA F W, LIANG H Y, ZHAO Y, et al. Multi-objective crashworthiness optimization design of concave triangles cell structure with negative Poisson's ratio[J]. Journal of Jilin University, 2020, 50(1): 29-35 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JLGY202001003.htm [21] 岑神德. 一种新型负泊松比蜂窝结构的冲击动力学研究[D]. 广州: 暨南大学, 2018 https://d.wanfangdata.com.cn/thesis/D01705515CEN S D. Study on impact dynamics of a new auxetic honeycomb structure[D]. Guangzhou: Jinan University, 2018 (in Chinese) https://d.wanfangdata.com.cn/thesis/D01705515 -
下载:
点击查看大图
图(14) / 表(1)
计量
- 文章访问数: 184
- HTML全文浏览量: 277
- PDF下载量: 39
- 被引次数: 0
