Effects of web cutout on bearing performance of composite beam webs under shear load
-
摘要:
针对平面编织复合材料梁腹板结构剪切载荷作用下的面内剪切屈曲失稳和后屈承载能力问题,采用实验与有限元方法进行了研究。结合实验所得应变分布规律与有限元分析所得失稳模态分析了梁腹板结构剪切失稳特点。后屈曲承载分析中引入了平面织物复合材料Hashin失效准则,获得的结构主要失效模式包括纬向纤维压溃和经向纤维拉断,与实验结果符合良好。基于经实验结果验证的有限元模型进行了参数化研究,分析了腹板开口尺寸和开口形式对平面织物复合材料梁腹板剪切稳定性、承载能力和破坏模式的影响。研究结果可为复合材料结构设计和强度评估提供参考。
Abstract:The buckling unstability and post-buckling bearing capacity of plain woven composite beam webs under shear load were investigated through experiments and finite element method in this paper. Based on characteristics of the experimental strain results and numerical buckling mode of the finite element analysis, the buckling characteristics of the composite beam webs were analyzed. Hashin failure criteria for plain woven composite materials were imported in the post-buckling bearing analysis, and the main failure modes of the webs from the numerical results are fiber tensile failure in the warp direction and fiber compressive failure in the weft direction. The simulated failure behavior of the webs agrees well with the experimental results. A parametric study based on the experimentally validated finite element model was conducted to investigate the effects of web cutout size and form on the stability, bearing capacity and failure mode of plain woven composite beam web under shear load. The research results provide reference for the design and strength analysis of composite structures.
-
Key words:
- composite materials /
- plain woven composite /
- beam web /
- buckling and post-buckling /
- shear load /
- cutout effects
-
表 1 复合材料梁腹板试验件不同区域铺层方式
Table 1. Lay-up sequences of composite beam web specimen in different regions
区域 铺层方式 缘条 [45/45/0/0/45/0/0/45/0/45/0]s 外围区域腹板 [45/45/0/0/45/0/0/45/0/45/0]s 中心区域腹板 [45/0/0/45/0]s 表 2 平面织物复合材料属性
Table 2. Properties of plain woven composite material
参数 数值 E11/GPa 56.85 E22/GPa 56.85 G12/GPa 3.86 ν12 0.042 XT/MPa 717 XC/MPa 597 YT/MPa 717 YC/MPa 597 S12/MPa 128 表 3 平面织物复合材料损伤起始准则及材料性能退化
Table 3. Damage initiation criteria and property degradation of plain woven composite material
损伤类型 失效准则 材料性能退化 经向纤维拉伸损伤 E11=0.1E11, G12=0.1G12, υ12=0.1υ12 经向纤维压缩损伤 纬向纤维拉伸损伤 E22=0.1E22, G12=0.1G12, υ12=0.1υ12 纬向纤维压缩损伤 注:σ11为1方向(经向纤维束方向)正应力,τ12为面内剪切应力,σ22为2方向(纬向纤维束方向)正应力。 表 4 复合材料梁腹板临界失稳载荷实验与有限元分析结果
Table 4. Experimental and finite element analysis results of critical buckling load of composite beam web
试验件编号 结构失稳载荷实验值/kN 承载极限实验结果/kN 结构失稳载荷实验平均值/kN 承载极限实验结果平均值/kN 临界失稳载荷有限元分析结果/kN 承载极限有限元分析结果/kN W01 36.9 68.0 37.3 63.3 38.0 65.2 W02 37.7 61.7 W03 36.1 61.6 W04 38.6 61.7 -
[1] 杜善义, 关志东. 我国大型客机先进复合材料技术应对策略思考[J]. 复合材料学报, 2008, 25(1): 1-10. doi: 10.3321/j.issn:1000-3851.2008.01.001DU S Y, GUAN Z D. Strategic considerations for development of advanced composite technology for large commercial aircraft in China[J]. Acta Materiae Compositae Sinaca, 2008, 25(1): 1-10(in Chinese). doi: 10.3321/j.issn:1000-3851.2008.01.001 [2] STEVENS K, RICCI R, DAVIES G. Buckling and post-buckling of composite structures[J]. Composites, 1995, 26(3): 189-199. doi: 10.1016/0010-4361(95)91382-F [3] PEDRO B D, DINAR C. Post-buckling behavior and strength of cold-formed steel lipped channel columns experiencing distortional/global interaction[J]. Computers and Structures, 2011, 89(3-4): 422-434. doi: 10.1016/j.compstruc.2010.11.015 [4] ZIMMERMANN R, KLEIN H, KLING A. Buckling and post-buckling of stiffener-stiffened fiber composite curved panels-test and computations[J]. Composite Structures, 2006, 13(2): 150-161. [5] BAILEY R, WOOD J. Stability characteristics of composite panels with various cutout geometries[J]. Composite Structures, 1996, 35(1): 21-31. doi: 10.1016/0263-8223(96)00021-9 [6] REZAEEPAZHAND J, JAFARI M. Stress analysis of perforated composite plates[J]. Composite Structures, 2005, 71(3-4): 463-468. doi: 10.1016/j.compstruct.2005.09.017 [7] KUMAR D, SINGH S B. Stability and failure of composite laminates with various shaped cutouts under combined in-plane loads[J]. Composites Part B-Engineering, 2012, 43(2): 142-149. doi: 10.1016/j.compositesb.2011.09.005 [8] KUMAR D, SINGH S B. Effects of flexural boundary conditions on failure and stability of composite laminate with cutouts under combined in-plane loads[J]. Composites Part B-Engineering, 2013, 45(1): 657-665. doi: 10.1016/j.compositesb.2012.08.016 [9] LI X, GAO W, LIU W. The bearing behavior and failure characteristic of CFRP laminate with cutout under shearing load: Part 1, Experiments[J]. Composite Structures, 2016, 141: 355-365. doi: 10.1016/j.compstruct.2015.12.069 [10] 张健, 刘伟, 高维成. 开孔补强对受剪复合材料工字型梁腹板稳定性的影响研究[J]. 船舶力学, 2018, 22(10): 1241-1248. doi: 10.3969/j.issn.1007-7294.2018.10.008ZHANG J, LIU W, GAO W C. Effect of cutout and edge reinforcement on buckling and post-buckling responses of composite Ⅰ-section beams under shear load[J]. Journal of Ship Mechanics, 2018, 22(10): 1241-1248(in Chinese). doi: 10.3969/j.issn.1007-7294.2018.10.008 [11] ZHANG J, LIU W, GAO W C. Failure behavior and strength of composite Ⅰ-section beam with double cutouts and stiffener reinforcement[J]. Applied Composite Materials, 2018, 25: 1385-1400. doi: 10.1007/s10443-018-9672-6 [12] 张修路, 杜芳静, 王锡芝. 剪切载荷作用下复合材料机翼梁腹板开口分析[J]. 沈阳航空航天大学学报, 2018, 35(6): 50-56. doi: 10.3969/j.issn.2095-1248.2018.06.007ZHANG X L, DU F J, WANG X Z. Analysis on openings of composite laminated aircraft wing beam web under shear load[J]. Journal of Shenyang Aerospace University, 2018, 35(6): 50-56(in Chinese). doi: 10.3969/j.issn.2095-1248.2018.06.007 [13] 张讯, 葛建彪. 基于NASTRAN的复合材料后梁稳定性优化设计与开口补强分析[J]. 民用飞机设计与研究, 2019, 1: 11-17. https://www.cnki.com.cn/Article/CJFDTOTAL-MYFJ201901009.htmZHANG X, GE J B. Optimal design and opening strengthen analysis of composite rear spar stability based on Nastran[J]. Civil Aircraft Design & Research, 2019, 1: 11-17(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-MYFJ201901009.htm [14] ASADI A, SHEIKH A H, THOMSEN O T. Buckling behavior of thin-walled laminated composite beams having open and closed sections subjected to axial and end moment loading[J]. Thin-Walled Structures, 2019, 141: 85-96. doi: 10.1016/j.tws.2019.04.005 [15] 赵娜, 张博平, 刘向东. 复合材料开孔加筋壁板剪切试验与数值分析[J]. 科学技术与工程, 2012, 12(13): 3155-3159. doi: 10.3969/j.issn.1671-1815.2012.13.027ZHAO N, ZHANG B P, LIU X D. Shear experimental and numerical analysis of composite ribbed panel with open hole structure[J]. Science Technology and Engineering, 2012, 12(13): 3155-3159(in Chinese). doi: 10.3969/j.issn.1671-1815.2012.13.027 [16] 刘婷. 复合材料层合板的开口补强研究进展[J]. 航空工程进展, 2013, 4(1): 10-16. doi: 10.3969/j.issn.1674-8190.2013.01.002LIU T. Cutout reinforcement research progress of composite laminates[J]. Advances in Aeronautical Science and Engineering, 2013, 4(1): 10-16(in Chinese). doi: 10.3969/j.issn.1674-8190.2013.01.002 [17] 邹健, 程小全, 邵世纲, 等. 基于ANSYS环境的平面编织层合板拉伸破坏数值仿真[J]. 复合材料学报, 2007, 24(6): 180-184. doi: 10.3321/j.issn:1000-3851.2007.06.030ZOU J, CHENG X Q, SHAO S G, et al. Numerical simulation for plain woven composite laminate based on ANSYS software[J]. Acta Materiae Compositae Sinaca, 2007, 24(6): 180-184(in Chinese). doi: 10.3321/j.issn:1000-3851.2007.06.030 [18] 胡博海, 李亚智, 樊振兴, 等. 复合材料梁腹板在弯剪复合载荷作用下的屈曲和后屈曲研究[J]. 机械强度, 2014, 36(6): 916-921. https://www.cnki.com.cn/Article/CJFDTOTAL-JXQD201406016.htmHU B H, LI Y Z, FAN Z X, et al. Buckling and post-buckling of a composite web beam under shearing bending[J]. Journal of Mechanical Strength, 2014, 36(6): 916-921(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-JXQD201406016.htm [19] REDDY Y S, REDDY J N. Three-dimensional finite element progressive failure analysis of composite laminates under axial extension[J]. Composites Technology and Research, 1993, 15(2): 73-87. doi: 10.1520/CTR10358J