Trajectory planning and buckling characteristics of periodic variable stiffness laminated plates

doi:10.19936/j.cnki.2096-8000.20250328.003

Abstract

Abstract: In order to improve the load-bearing capacity of composite laminated structures, the compression buckling properties of the laminates were studied. First, in order to improve the designability of linear function trajectories, this paper proposes a new periodic linear fiber trajectory function mathematical model based on the characteristics of trigonometric function curves; secondly, Python/ABAQUS is used to conduct secondary development modeling of composite laminates; finally, the classic comparative buckling analysis of constant stiffness and new variable stiffness laminates revealed the response mechanism of the buckling performance of variable stiffness laminates to the curve trajectory starting and ending angles and period parameters. The results show that when the T₀ and T₁ values of the variable angle trajectory are in the range of [30°,60°], the first-order buckling load is significantly higher than the classic constant-stiffness laminate, and is 21.41% higher than the optimal constant-stiffness laminate buckling load. And by controlling the value of period n, the first-order buckling load of the laminate can be further increased, thereby improving stability.

Key words: composite laminate, variable stiffness, trajectory planning, secondary development, buckling performance

CLC Number:

TB332

DING Xiaoxiao, CAO Zhongliang. Trajectory planning and buckling characteristics of periodic variable stiffness laminated plates[J]. COMPOSITES SCIENCE AND ENGINEERING, 2025, 0(3): 15-21.

References

[1] 张雅会, 陈普会, 孔斌. 变刚度复合材料平板与开孔板屈曲性能试验验证与数值仿真[J]. 复合材料学报, 2023, 40(4): 2377-2389.
[2] GÜRDAL Z, OLMEDO R. In-plane response of laminates with spatially varying fiber orientations: variable stiffness concept[J]. AIAA Journal, 1993, 31(4): 751-758.
[3] GÜRDAL Z, TATTING B F, WU C K. Variable stiffness composite panels: effects of stiffness variation on the in-plane and buckling response[J]. Composites Part A: Applied Science and Manufacturing, 2008, 39 (5): 911-922.
[4] LOPES C S, GÜRDAL Z, CAMANHO P P. Variable stiffness composite panels: buckling and first-ply failure improvements over straight-fibre laminates[J]. Computers & Structures, 2008, 86(9): 897-970.
[5] WU Z M, WEAVER P W, RAJU G, et al. Buckling analysis and optimization of variable angle tow composite plates[J]. Thin-walled Structures, 2012, 60: 163-172.
[6] WHITE S C, RAJU G, WEAVER P M. Initial post-buckling of variable-stiffness curved panels[J]. Journal of the Mechanics and Physics of Solids, 2014, 71: 132-155.
[7] MILAZZO A, OLIVERI V. Investigation of buckling characteristics of cracked variable stiffness composite plates by an eXtended Ritz approach[J]. Thin-Walled Structures, 2021, 163: 107750.
[8] 马永前, 张淑杰, 徐震宇. 纤维曲线铺放的变刚度复合材料层合板的屈曲[J]. 玻璃钢/复合材料, 2009(5): 31-35.
[9] 马洪涛. 变刚度复合材料层合板的力学性能分析[D]. 哈尔滨: 哈尔滨工业大学, 2012.
[10] 富宏亚, 曹忠亮, 杜霖, 等. Bezier曲线变角度层合板设计及屈曲特性分析[J]. 复合材料学报, 2017, 34(8): 1729-1735.
[11] 吴尘瑾, 祖磊, 李书欣, 等. 变刚度复合材料层合板的纤维铺放路径设计及屈曲分析[J]. 玻璃钢/复合材料, 2018(4): 5-10.
[12] 年春波, 王小平, 代文猛, 等. 基于ABAQUS二次开发变角度层合板屈曲特性分析[J]. 宇航材料工艺, 2019, 49(4): 7-22.
[13] 卫宇璇, 张明, 刘佳, 等. 基于自动铺放技术的高精度变刚度复合材料层合板屈曲性能[J]. 复合材料学报, 2020, 37(11): 2807-2815.
[14] 叶辉, 李清原, 闫康康. 变刚度复合材料层合板的力学性能[J]. 吉林大学学报(工学版), 2020, 50(3): 920-928.
[15] CAO Z, FU H, HAN Z. Comparative study on bezier curve and linear variable angle method for variable stiffness laminates[J]. Polymer Composites, 2019, 40(3): 952-960.
[16] ZHANG Y H, KONG B, GU J F, et al. Experimental investigation on the buckling and post-buckling behavior of variable stiffness laminates[J]. Thin-Walled structures, 2023, 184: 110450.