Equivalent stiffness of composite sinusoidal corrugated panels

doi:10.19936/j.cnki.2096-8000.20241128.004

Abstract

Abstract: Based on the homogenization theory of composites, carbon fiber reinforced polymer(CFRP) sinusoidal corrugated panels were equivalent to orthogonal anisotropic plate. According to the principle of strain energy conservation, a method for each stiffness component in the equivalent orthogonal anisotropic plate stiffness matrix was established. Using the finite element method, a representative element model of composite sinusoidal corrugated panels was established. Based on the constitutive equation of laminates, six boundary conditions were constructed to verify the theoretical method of stiffness components. The verification shows that the theoretical results have good consistency with the finite element simulation results. The influence of amplitude and wavelength, two geometric parameters controlling the shape of sinusoidal corrugated panels, on the stiffness of the corrugated panels was studied using a validated stiffness method. The equivalent stiffness of a corrugated panel was compared with the stiffness of its laminated plate. The research results show that the influence of amplitude and wavelength on the stiffness component of corrugated panels is nonlinear; compared to laminated plates, the tensile stiffness of corrugated direction is significantly reduced, while the bending stiffness in the vertical corrugated direction is significantly increased.

Key words: corrugated panel, equivalent stiffness, composites, homogenization, finite element analysis

CLC Number:

TB332

WANG Houbing, QU Tianjiao, CHENG Linan, WEI Jingchao, LI Xinxiang, ZHU Qiang. Equivalent stiffness of composite sinusoidal corrugated panels[J]. COMPOSITES SCIENCE AND ENGINEERING, 2024, 0(11): 34-42.

References

[1] ZHOU Y Q, ZHU J S, GUO Y L. Numerical and experimental studies on sectional load capacity of concrete-infilled double steel corrugated-plate walls under combined compression and in-plane bending[J]. Thin-Walled Structures, 2021, 159: 107250.
[2] WANG S H, HE J, LIU Y Q. Shear behavior of steel I-girder with stiffened corrugated web, Part Ⅰ: Experimental study[J]. Thin-Walled Structures, 2019, 140: 248-262.
[3] 吴存利, 段世慧, 李新祥. 复合材料波纹板剪切载荷作用下的屈曲试验与分析[J]. 航空学报, 2011, 32(8): 1453-1460.
[4] 吴存利, 段世慧, 孙侠生. 复合材料波纹板刚度工程计算方法及其在结构分析中的应用[J]. 航空学报, 2008, 29(6): 1570-1575.
[5] 郑宇宁, 邱志平, 苑凯华. 复合材料波纹板在剪切载荷下的屈曲特性分析与可靠性优化[J]. 振动与冲击, 2016, 35(19): 7-25.
[6] 秋洪燕, 矫桂琼, 黄涛. 复合材料层压梁梯形波纹腹板刚度和稳定性等效分析方法研究[J]. 机械强度, 2012, 34(6): 899-906.
[7] 冯丽娜, 熊健, 郑伟, 等. 复合材料波纹夹层圆柱壳设计及轴压性能[J]. 复合材料学报, 2016, 33(2): 418-429.
[8] 周春华, 王帮峰, 刘曌, 等. 波纹型复合材料蒙皮拉伸变形特性研究与仿真分析[J]. 科学技术与工程, 2011, 11(32): 7899-7930.
[9] 周华志, 王志瑾, 韩微, 等. 具有褶皱薄弱段的正弦波纹梁吸能性能研究[J]. 振动与冲击, 2017, 36(17): 248-254.
[10] 卢致龙, 常成. 直升机复合材料波纹梁结构抗坠毁设计技术研究[J]. 直升机技术, 2015, 185: 14-19.
[11] REN Y R, JIANG H Y, JI W Y. Improvement of progressive damage model to predicting crashworthy composite corrugated plate[J]. Applied Composite Materials, 2018, 25: 45-66.
[12] XIA Y, FRISWELL M I, SAAVEDRA E I. Equivalent models of corrugated panels[J]. International Journal of Solids and Structures, 2012, 49: 1453-1462.
[13] WANG C, XIA Y, FRISWELL M I, et al. Predicting global strain limits for corrugated panels[J]. Composite Structures, 2020, 231:111472.
[14] GOLZAR M, GHABEZI P. Corrugated composite skins[J]. Mechanics of Composite Materials, 2014, 50(2): 137-148.
[15] NAHAS M N. Local buckling of composite corrugated compression panels[J]. Advanced Composite Materials, 1993, 3(1): 73-83.
[16] GHABEZI P, GOLZAR M. Mechanical analysis of trapezoidal corrugated composite skins[J]. Applied Composite Materials, 2013, 20: 341-353.
[17] GHABEZI P. Rectangular and triangular corrugated composite skins[J]. Fibers and Polymers, 2018, 19(2): 435-445.
[18] JOACHIM L G, REANY J. Wrinkling of corrugated skin sandwich panels[J]. Composites Part A: Applied Science & Manufacturing, 2007, 38: 576-589.
[19] PENG L X, LIEW K M, KITIPORNCHAI S. Analysis of stiffened corrugated plates based on the FSDT via the mesh-free method[J]. International Journal of Mechanical Science, 2007, 49: 364-378.
[20] LIEW K M, PENG L X, KITIPORNCHAI S. Buckling analysis of corrugated plates using a mesh-free Galerkin method based on the first-order shear deformation theory[J]. Computational Mechanics, 2006, 38: 61-75.
[21] YOKOZEKI T, TAKEDA S, OGASAWARA T, et al. Mechanical properties corrugated composites for candidate materials flexible wing structures[J]. Composites Part A: Applied Science & Manufacturing, 2006, 37: 1578-1586.
[22] FILIPOVIC D T, KRESS G R. A planar finite element formulation for corrugated laminates under transverse shear loading[J]. Composite Structures, 2018, 201: 958-967.
[23] PATHIRANA S, QIAO P Z. Local buckling analysis of periodic sinusoidal corrugated composite panels under uniaxial compression[J]. Composite Structures, 2019, 220: 148-157.
[24] PATHIRANA S, QIAO P Z. Elastic local buckling of periodic sinusoidal corrugated composite panels[J]. Thin-Walled Structures, 2020, 157: 107134.
[25] THURNHERR C, RUPPEN L, KRESS G R, et al. Interlaminar stresses in corrugated laminates[J]. Composite Structures, 2016, 140: 296-308.
[26] FILIPOVIC D T, KRESS G R. Stress analysis of corrugated orthotropic laminates under transverse shear loading[J]. Composite Structures, 2019, 223: 110983.
[27] FILIPOVIC D T, KRESS G R. A planar finite element formulation for corrugated laminates under transverse shear loading[J]. Composite Structures, 2018, 201: 958-967.
[28] BAI J B, CHEN D, XIONG J J, et al. A corrugated flexible composite skin for morphing applications[J]. Composites Part B: Engineering, 2017, 131: 134-143.
[29] LIU T W, BAI J B, LI S L, et al. Large deformation and failure analysis of the corrugated flexible composite skin for morphing wing[J]. Engineering Structures, 2023, 278: 115463.
[30] SOLTANIA Z, HOSSEINI S A, KRESS G. Experimental and numerical study of geometrically nonlinear behavior of corrugated laminated composite shells using a nonlinear layer-wise shell FE formulation[J]. Engineering Structures, 2019, 184: 61-73.
[31] ERMAKOVA A, DAYYANI I. Shape optimisation of composite corrugated morphing skins[J]. Composites Part B: Engineering, 2017, 115: 87-101.
[32] 中国航空研究院. 复合材料结构稳定性分析指南[M]. 北京: 航空工业出版社, 2002: 132-133.
[33] 高珂, 孙秦, 董文俊. 手风琴式蜂窝材料等效弯曲和扭转刚度分析[J]. 机械科学与技术, 2014, 33(10): 1579-1584.