Dynamic response of a sandwich panel cored by butterfly-shaped honeycombs with negative Poisson’s ratio to low-velocity impact

YU Yang; FU Tao

doi:10.11883/bzycj-2023-0019

Volume 43 Issue 7

Jul. 2023

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Explosion And Shock Waves > 2023 > 43(7): 073103

ZHENG Jian, LU Fangyun. On impact response of a prestressed metal beam[J]. Explosion And Shock Waves, 2021, 41(3): 031401. doi: 10.11883/bzycj-2020-0328

Citation:

YU Yang, FU Tao. Dynamic response of a sandwich panel cored by butterfly-shaped honeycombs with negative Poisson’s ratio to low-velocity impact[J]. Explosion And Shock Waves, 2023, 43(7): 073103. doi: 10.11883/bzycj-2023-0019

ZHENG Jian, LU Fangyun. On impact response of a prestressed metal beam[J]. Explosion And Shock Waves, 2021, 41(3): 031401. doi: 10.11883/bzycj-2020-0328

Citation:

PDF( 1211 KB)

Dynamic response of a sandwich panel cored by butterfly-shaped honeycombs with negative Poisson’s ratio to low-velocity impact

doi: 10.11883/bzycj-2023-0019

YU Yang,
FU Tao^,

Department of Mechanical and Electrical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China

Received Date: 2023-01-17
Rev Recd Date: 2023-05-30

Available Online: 2023-05-30

Publish Date: 2023-07-05

Abstract

Abstract

In order to study the dynamic response of a sandwich panel cored by butterfly-shaped honeycomb with negative Poisson’s ratio to low-velocity impact, a mass-spring (MS) model is applied to obtain the contact force between the spherical impactor and the honeycomb sandwich panel. Meanwhile, based on the Hamilton’s principle and the first-order shear deformation theory, the equation of motion for the butterfly-shaped honeycomb sandwich panel with negative Poisson’s ratio is derived. Besides, the Navier method and Duhamel’s integral are used to solve the vibration displacement of the honeycomb sandwich panel. To validate the theoretical model, the results are compared with the results of ABAQUS’ numerical simulation or published literature. It is shown that the maximum relative error between the numerical modeling results of the first five order natural frequencies and the results of theoretical model calculated in this paper is 6.52%, the maximum relative error between the numerical modeling results of the honeycomb sandwich panel under low-velocity impact and the calculated results of the theoretical model in this paper is 6.84%, and the maximum relative error of the contact force between the theoretical model in this paper and the published studies is 8%, thus verifying the validity of the theoretical model. The results show that the maximum lateral displacement of the honeycomb sandwich panel increases with the increasing velocity of the spherical impactor. Under the same impact load, the impact resistance of the honeycomb sandwich panel increases with the increase of the wall thickness of the unit cell, and decreases with the increase of the unit cell angle. The impact resistance of the honeycomb sandwich panel increases by 3.7% when the thickness of the unit cell wall changes from 1 mm to 3 mm. The lateral displacement of the butterfly-shaped honeycomb sandwich panel decreases while the contact force between the impactor and the honeycomb sandwich panel increases with the increase of the length-width ratio and the height ratio. When the width-length ratio of the honeycomb sandwich panel changes from 1∶1 to 1∶2, the maximum lateral displacement of the honeycomb sandwich panel decreases by 6.1%, and when the height ratio of the top skin layer to the honeycomb core layer changes from 1∶6 to 1∶14, the maximum lateral displacement of the honeycomb sandwich panel decreases by 5.4%, which indicates that the impact resistance of the honeycomb sandwich panel is enhanced and the energy absorption effect is obvious.
- honeycomb sandwich panel,
- low-velocity impact,
- dynamic response,
- first-order shear deformation theory,
- mass-spring model

FullText(HTML)

References(27)

References

[1]	PRAWOTO Y. Seeing auxetic materials from the mechanics point of view: a structural review on the negative Poisson’s ratio [J]. Computational Materials Science, 2012, 58: 140–153. DOI: 10.1016/j.commatsci.2012.02.012.
[2]	BIRMAN V, KARDOMATEAS G A. Review of current trends in research and applications of sandwich structures [J]. Composites Part B: Engineering, 2018, 142: 221–240. DOI: 10.1016/j.compositesb.2018.01.027.
[3]	VIJAYASIMHA REDDY B G, SHARMA K V, YELLA REDDY T. Deformation and impact energy absorption of cellular sandwich panels [J]. Materials and Design, 2014, 61: 217–227. DOI: 10.1016/j.matdes.2014.04.047.
[4]	王守财, 关志东, 黎增山, 等. 金属蒙皮飞机冲击威胁研究 [J]. 振动与冲击, 2018, 37(4): 13–18. DOI: 10.13465/j.cnki.jvs.2018.4.003. WANG S C, GUAN Z D, LI Z S, et al. A study on the impact threat of metal skin aircrafts [J]. Journal of Vibration and Shock, 2018, 37(4): 13–18. DOI: 10.13465/j.cnki.jvs.2018.4.003.
[5]	ZHANG J X, YUAN H, LI J F, et al. Dynamic response of multilayer curved aluminum honeycomb sandwich beams under low-velocity impact [J]. Thin-Walled Structures, 2022, 177: 109446. DOI: 10.1016/j.tws.2022.109446.
[6]	蔺晓红, 张涛, 张小波, 等. 碳纤维增强铝合金板的抗冲击性能 [J]. 爆炸与冲击, 2013, 33(3): 303–310. DOI: 10.11883/1001-1455(2013)03-0303-08. LIN X H, ZHANG T, ZHANG X B, et al. Impact resistances of carbon fiber-reinforced aluminum laminates [J]. Explosion and Shock Waves, 2013, 33(3): 303–310. DOI: 10.11883/1001-1455(2013)03-0303-08.
[7]	谢素超, 井坤坤, 冯哲骏, 等. 铝蜂窝夹层板低速冲击响应及损伤模式的参数化影响 [J]. 复合材料学报, 2022, 40(5): 3046–3060. DOI: 10.13801/j.cnki.fhclxb.20220706.002. XIE S C, JING K K, FENG Z J, et al. Parametric effects of low-velocity impact response and damage mode of aluminum honeycomb sandwich panels [J]. Acta Materiae Compositae Sinica, 2022, 40(5): 3046–3060. DOI: 10.13801/j.cnki.fhclxb.20220706.002.
[8]	ZHANG D H, JIANG D, FEI Q G, et al. Experimental and numerical investigation on indentation and energy absorption of a honeycomb sandwich panel under low-velocity impact [J]. Finite Elements in Analysis and Design, 2016, 117/118: 21–30. DOI: 10.1016/j.finel.2016.04.003.
[9]	LIU P F, LI X K, LI Z B. Finite element analysis of dynamic mechanical responses of aluminum honeycomb sandwich structures under low-velocity impact [J]. Journal of Failure Analysis and Prevention, 2017, 17(6): 1202–1207. DOI: 10.1007/s11668-017-0358-4.
[10]	PALOMBA G, EPASTO G, CRUPI V, et al. Single and double-layer honeycomb sandwich panels under impact loading [J]. International Journal of Impact Engineering, 2018, 121: 77–90. DOI: 10.1016/j.ijimpeng.2018.07.013.
[11]	ZHANG J X, ZHU Y Q, LI K K, et al. Dynamic response of sandwich plates with GLARE face-sheets and honeycomb core under metal foam projectile impact: experimental and numerical investigations [J]. International Journal of Impact Engineering, 2022, 164: 104201. DOI: 10.1016/j.ijimpeng.2022.104201.
[12]	HAZIZAN M A, CANTWELL W J. The low velocity impact response of an aluminium honeycomb sandwich structure [J]. Composites Part B: Engineering, 2003, 34(8): 679–687. DOI: 10.1016/S1359-8368(03)00089-1.
[13]	ZHANG J X, YE Y, QIN Q H, et al. Low-velocity impact of sandwich beams with fibre-metal laminate face-sheets [J]. Composites Science and Technology, 2018, 168: 152–159. DOI: 10.1016/j.compscitech.2018.09.018.
[14]	ZHANG J X, QIN Q H, ZHANG J T, et al. Low-velocity impact on square sandwich plates with fibre-metal laminate face-sheets: analytical and numerical research [J]. Composite Structures, 2021, 259: 113461. DOI: 10.1016/j.compstruct.2020.113461.
[15]	SUN M Q, WOWK D, MECHEFSKE C, et al. An analytical study of the plasticity of sandwich honeycomb panels subjected to low-velocity impact [J]. Composites Part B: Engineering, 2019, 168: 121–128. DOI: 10.1016/j.compositesb.2018.12.071.
[16]	WU Z, MA R, LI Y Z, et al. An advanced five-unknown higher-order theory for free vibration of composite and sandwich plates [J]. Chinese Journal of Aeronautics, 2021, 34(9): 104–118. DOI: 10.1016/J.CJA.2021.03.002.
[17]	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. DOI: 10.3901/JME.2018.13.001. YU 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. DOI: 10.3901/JME.2018.13.001.
[18]	REN X, DAS R, TRAN P, et al. Auxetic metamaterials and structures: a review [J]. Smart Materials and Structures, 2018, 27(2): 023001. DOI: 10.1088/1361-665X/aaa61c.
[19]	关淮桐, 田瑞兰, 张子文. 仿蝴蝶形蜂窝结构夹层板的振动特性研究 [J]. 哈尔滨工程大学学报, 2022, 43(9): 1383–1390. DOI: 10.11990/jheu.202206045. GUAN H T, TIAN R L, ZHANG Z W. Study of the vibrational characteristics of butterfly-shaped honeycomb sandwich panel [J]. Journal of Harbin Engineering University, 2022, 43(9): 1383–1390. DOI: 10.11990/jheu.202206045.
[20]	THAI H T, CHOI D H. A simple first-order shear deformation theory for laminated composite plates [J]. Composite Structures, 2013, 106: 754–763. DOI: 10.1016/j.compstruct.2013.06.013.
[21]	ZHANG Z W, TIAN R L, ZHANG X L, et al. A novel butterfly-shaped auxetic structure with negative Poisson’s ratio and enhanced stiffness [J]. Journal of Materials Science, 2021, 56(25): 14139–14156. DOI: 10.1007/S10853-021-06141-4.
[22]	ZHAO H X, MA S J. High-order Hamilton’s principle and the Hamilton’s principle of high-order Lagrangian function [J]. Communications in Theoretical Physics, 2008, 49(2): 297–302. DOI: 10.1088/0253-6102/49/2/08.
[23]	AMROUCHE C, REJAIBA A. L-p-theory for Stokes and Navier-Stokes equations with Navier boundary condition [J]. Journal of Differential Equations, 2014, 256(4): 1515–1547. DOI: 10.1016/j.jde.2013.11.005.
[24]	ROZANSKI M, SIKORA B, SMUDA A, et al. On theoretical and practical aspects of Duhamel’s integral [J]. Archives of Control Sciences, 2021, 31(4): 815–847. DOI: 10.24425/acs.2021.139732.
[25]	TAN T M, SUN C T. Use of statical indentation laws in the impact analysis of laminated composite plates [J]. Journal of Applied Mechanics, 1985, 52(1): 6–12. DOI: 10.1115/1.3169029.
[26]	YANG F L, WANG Y Q, LIU Y F. Low-velocity impact response of axially moving functionally graded graphene platelet reinforced metal foam plates [J]. Aerospace Science and Technology, 2022, 123: 107496. DOI: 10.1016/j.ast.2022.107496.
[27]	WU H Y T, CHANG F K. Transient dynamic analysis of laminated composite plates subjected to transverse impact [J]. Computers and Structures, 1989, 31(3): 453–466. DOI: 10.1016/0045-7949(89)90393-3.

Relative Articles

[1]	ZHANG Haipeng, PAN Zuanfeng, SI Doudou. Numerical simulation on dynamic response of reinforced concrete beams to secondary explosion[J]. Explosion And Shock Waves, 2024, 44(10): 101404. doi: 10.11883/bzycj-2024-0021
[2]	QIAN Haimin, PAN Yahao, ZONG Zhouhong, GAN Lu, WU Xi, SUN Miaomiao. Experimental study on dynamic response of underground utility tunnel under ground explosion[J]. Explosion And Shock Waves, 2024, 44(7): 075102. doi: 10.11883/bzycj-2023-0400
[3]	ZHAO Haonan, FANG Hongyuan, ZHAO Xiaohua, WANG Gaohui. Analysis on the blast resistance of polymer composite slabs under contact explosions[J]. Explosion And Shock Waves, 2023, 43(5): 052201. doi: 10.11883/bzycj-2022-0161
[4]	XU Weizheng, ZHAO Hongtao, LI Yexun, HUANG Yu, FU Hua. An experimental study on dynamic response of cylindrical shell under near-field/contact underwater explosion[J]. Explosion And Shock Waves, 2023, 43(9): 091413. doi: 10.11883/bzycj-2023-0072
[5]	HAO Tengteng, WANG Changjian, YAN Wangji, REN Weixin. Structural dynamical characteristics induced by vented hydrogen explosion[J]. Explosion And Shock Waves, 2020, 40(6): 065401. doi: 10.11883/bzycj-2019-0412
[6]	SHI Bo, ZHANG Xiaoying, LI Kuo, LI Zhiqiang. Influencing factors of dynamic response of hollow laminated glass subject to blast loads[J]. Explosion And Shock Waves, 2018, 38(1): 119-123. doi: 10.11883/bzycj-2017-0018
[7]	ZHOU Zhongxin, JIN Fengnian, YUAN Xiaojun, CHEN Hailong, ZHOU Jiannan, XU Ying, KONG Xinli. Dynamic response of underground arch structure under lateral point blast loads[J]. Explosion And Shock Waves, 2018, 38(3): 639-646. doi: 10.11883/bzycj-2016-0295
[8]	Xu Qiang, Cao Yang, Chen Jianyun. Antiknock performance of an overflow dam subjected to contact explosion[J]. Explosion And Shock Waves, 2017, 37(4): 677-684. doi: 10.11883/1001-1455(2017)04-0677-08
[9]	Li Shiqiang, Li Xin, Wu Guiying, Wang Zhihua, Zhao Longmao. Dynamic response of functionally graded honeycomb sandwich plates under blast loading[J]. Explosion And Shock Waves, 2016, 36(3): 333-339. doi: 10.11883/1001-1455(2016)03-0333-07
[10]	Li Xianglong, Wang Jianguo, Zhang Zhiyu, Huang Yonghui. Experimental study for effects of strain rates and joint angles on dynamic responses of simulated rock materials[J]. Explosion And Shock Waves, 2016, 36(4): 483-490. doi: 10.11883/1001-1455(2016)04-0483-08
[11]	Ji Chong, Xu Quan-jun, Wan Wen-qian, Gao Fu-yin, Song Ke-jian. Dynamic responses of steel cylindrical shells under lateral explosion loading[J]. Explosion And Shock Waves, 2014, 34(2): 137-144. doi: 10.11883/1001-1455(2014)02-0137-08
[12]	Feng Hui-ping, Liu Hong-bing, Zuo Xing, Hui Lang-lang. Dynamic response of underground tunnel to explosive loading from penetration weapons in the critical collapse distance[J]. Explosion And Shock Waves, 2014, 34(5): 539-546. doi: 10.11883/1001-1455(2014)05-0539-08
[13]	CUI Wei, SONG Hui-fang, ZHANG She-rong. CoupledSPH-FEanalysisfordynamicresponseof boxculvertsubjectedtosubsurfaceblas[J]. Explosion And Shock Waves, 2012, 32(5): 551-556. doi: 10.11883/1001-1455(2012)05-0551-06
[14]	ZHAI Xi-mei, WANG Yong-hui. Dynamicresponseandexplosionreliefof reticulatedshellunderblastloading[J]. Explosion And Shock Waves, 2012, 32(4): 404-410. doi: 10.11883/1001-1455(2012)04-0404-07
[15]	TIAN Yu-bin, LI Zhao, ZHANG Chun-wei. Dynamicresponseofreinforcedmasonrystructureunderblastload[J]. Explosion And Shock Waves, 2012, 32(6): 658-662. doi: 10.11883/1001-1455(2012)06-0658-05
[16]	MA Yuan-yuan, ZHENG Jin-yang, CHEN Yong-jun, DENG Gui-de. Numerical simulation on dynamic response of the cylindrical explosion containment vessel with an elliptical cover[J]. Explosion And Shock Waves, 2009, 29(3): 249-254. doi: 10.11883/1001-1455(2009)03-0249-06
[17]	ZHANG Xu-hong, WANG Zhi-hua, ZHAO Long-mao. Dynamic responses of sandwich plates with aluminum honeycomb cores subjected to blast loading[J]. Explosion And Shock Waves, 2009, 29(4): 356-360. doi: 10.11883/1001-1455(2009)04-0356-05
[18]	SONG Yan-ze, TIAN Jing-bang, ZHAO Long-mao, ZHENG Jin-yang. Dynamic responses of discrete multilayered wound ribbon vessels subjected to blast loading[J]. Explosion And Shock Waves, 2008, 28(4): 324-330. doi: 10.11883/1001-1455(2008)04-0324-07
[19]	DU Xiu-li, LIAO Wei-zhang, TIAN Zhi-min, LI Liang. Dynamic response analysis of underground structures under explosion-induced loads[J]. Explosion And Shock Waves, 2006, 26(5): 474-480. doi: 10.11883/1001-1455(2006)05-0474-07
[20]	CHEN Yong, TANG Ping, WANG Yu, YANG Shi-quan. Dynamic response analysis of rigid-plastic circular plate under underwater blast loading[J]. Explosion And Shock Waves, 2005, 25(1): 90-96. doi: 10.11883/1001-1455(2005)01-0090-07