变刚度复材板壳结构优化及热环境下的屈曲

doi:10.7527/S1000-6893.2025.32473

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变刚度复材板壳结构优化及热环境下的屈曲

孙瑀珩¹,郭玉杰¹,肖世杰¹,崔慧文¹,延浩²

1. 南京航空航天大学
2. 中国飞机强度研究所

收稿日期:2025-06-26 修回日期:2025-09-10 出版日期:2025-09-10 发布日期:2025-09-10
通讯作者: 郭玉杰
基金资助:
国家自然科学基金面上项目;强度与结构完整性全国重点实验室开放基金

Optimization of Variable-Stiffness Composite Shells and Buckling under Thermal Environments

Received:2025-06-26 Revised:2025-09-10 Online:2025-09-10 Published:2025-09-10
Contact: Yujie Guo

摘要/Abstract

摘要： 变刚度复合材料的刚度和强度性能具有较强的可定制性，因此在航空航天结构中具有较大的应用潜力。变刚度薄壁结构在热环境下的失稳问题不可忽视，本文研究了在不同温度环境下直线铺层和可制造的最优曲线铺层平板和圆柱壳结构的热屈曲性能及其缺陷敏感度。首先，利用变保真度克里金代理模型优化算法求解得到考虑最小曲率半径的最优铺层角度。其次，通过热环境下的静力分析及考虑初始缺陷的非线性屈曲分析研究变刚度方板及圆柱壳的热屈曲问题，同时对直线铺层和曲线铺层平板和圆柱壳的缺陷敏感度进行比较。结果表明，优化后的变刚度结构的线性屈曲载荷均大于直线铺层。热应力会导致变刚度板的失稳总载荷下降，而对常规直线铺层影响较小；对于变刚度圆柱壳结构，热应力作用下，其屈曲总载荷值有一定提升。温度对层合板的缺陷敏感度影响较小，对于圆柱壳结构，温度增大了其抗压缺陷敏感度。

关键词: 变刚度复合材料, 变保真度克里金代理模型, 角度优化, 热屈曲, 几何缺陷敏感度

Abstract: Variable-angle tow (VAT) composites have gained significant attention due to their tunable stiffness and strength properties. The instability issues of variable stiffness thin-walled structures under thermal environments cannot be ignored. This paper investigates the thermal buckling performance and geometric imperfection sensitivity of plate and cylindrical shell structures with straight layups and manufacturable optimal curved fiber layups under different thermal conditions. First, the optimal layup angles considering the minimum radius of curvature are obtained using an optimization algorithm based on a variable-fidelity Kriging surrogate model. Second, the thermal buckling problems of variable stiffness plate and cylindrical shells are studied through linear and nonlinear buckling analysis considering thermal environments and initial imperfections. Comparisons are made between VS and straight fiber plate and cylindrical shells considering their imperfection sensitivities. The results show that the linear buckling loads of the optimized variable stiffness structures are all greater than those of the straight layups. Thermal stress leads to a reduction in the total instability load of variable stiffness plates, while having a smaller impact on conventional straight layups; for VS cylindrical shell structures, the total buckling load value increases slightly under thermal stress. Temperature has a minor effect on the imperfection sensitivity of laminated plates, while for cylindrical shell structures, temperature increases their compressive imperfection sensitivity.

Key words: Variable-stiffness composites, Variable-fidelity Kriging surrogate model, Fiber path optimization, Thermal buckling, Geometric imperfection sensitivity

孙瑀珩郭玉杰肖世杰崔慧文延浩. 变刚度复材板壳结构优化及热环境下的屈曲[J]. 航空学报, doi: 10.7527/S1000-6893.2025.32473.

参考文献

[1] HYER M W, CHARETTE R F. Use of curvilinear fiber format in composite structure design[J]. AIAA Journal, 1991, 29(6):1011-1015. [2] GüRDAL Z, OLMEDO R. In-plane response of laminates with spatially varying fiber orientations: variable stiffness concept[J]. AIAA Journal, 2012, 31(4): 751-758. [3] 黄艳, 王喆, 陈普会. 含缺陷变刚度层合板屈曲性能的数值分析方法[J]. 航空学报, 2023, 44(24): 428576. HUANG Y, WANG Z, CHEN P H. Numerical analysis method for buckling behavior of variable stiffness laminates with defects[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(24): 428576 (in Chinese). [4] 冉庆波, 肖鸿, 杨富鸿, 等. 含孔曲面自动铺丝轨迹规划算法[J]. 航空学报, 2022, 43(9): 425602. RAN Q B, XIAO H, YANG F H, et al. Trajectory planning algorithm for automatic wire laying on perforated surface[J]. Acta Aeronautica et Astronautica Sinica, 2022, 43(9): 425602 (in Chinese). [5] BLOM A W, STICKLER P B, GüRDAL Z. Optimization of a composite cylinder under bending by tailoring stiffness properties in circumferential direction[J]. Composites Part B: Engineering, 2010, 41(2): 157-165. [6] ZHOU X, RUAN X, GOSLING P. Thermal buckling optimization of variable angle tow fibre composite plates with gap/overlap free design[J]. Composite Structures, 2019, 223: 110932. [7] KHANI A, IJSSELMUIDEN S T, ABDALLA M M. Design of variable stiffness panels for maximum strength using lamination parameters[J]. Composites Part B: Engineering, 2011, 42(3): 546-552. [8] 孙士平, 张冰, 邓同强, 等. 复合载荷作用变刚度复合材料回转壳屈曲优化[J]. 复合材料学报, 2019, 36(4): 1052-1061. SUN S P, ZHANG B, DENG T Q, et al. Buckling optimization of variable stiffness composite rotary shell under combined loads[J]. Acta Materiae Compositae Sinica, 2019, 36(4): 1052-1061 (in Chinese). [9] 钟继凡. 基于代理模型的变刚度复合材料结构优化设计[D]. 武汉:华中科技大学, 2018. ZHONG J F. Optimization design of variable stiffness composite structure based on surrogate model[D]. Wuhan: Huazhong University of Science and Technology, 2018 (in Chinese). [10] 龚煜廉, 张建国, 吴志刚, 褚光远, 范晓铎, 黄赢. 主动学习基自适应PC?Kriging模型的复合材料结构可靠度算法[J]. 航空学报, 2024, 45(8): 228982. GONG Y L, ZHANG J G, WU Z G, et al. Reliability algorithm of composite structure based on active learning basis-adaptive PC-Kriging model[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(8): 228982. [11] YI J, LIU J, CHENG Y. A fast forecast method based on high and low fidelity surrogate models for strength and stability of stiffened cylindrical shell with variable ribs[C]. 2018 IEEE 8th International Conference on Underwater System Technology: Theory and Applications (USYS), IEEE, 2018: 1-6. [12] HAO P, FENG S J, ZHANG K, et al. Adaptive gradient-enhanced kriging model for variable-stiffness composite panels using isogeometric analysis[J]. Structural and Multidisciplinary Optimization, 2018, 58: 1-16. [13] GUO Q, HANG J, WANG S, et al. Design optimization of variable stiffness composites by using multi-fidelity surrogate models[J]. Structural and Multidisciplinary Optimization, 2021, 63: 439-461. [14] IJSSELMUIDEN S, ABDALLA M, GüRDAL Z. Thermomechanical design optimization of variable stiffness composite panels for buckling[J]. Journal of Thermal Stress, 2010, 33: 977-992. [15] MANICKAM G, BHARATH A, DAS A, et al. Thermal buckling behaviour of variable stiffness laminated composite plates[J]. Materials Today, 2018, 16: 142-151. [16] DURAN A, FASANELLA N, SUNDARARAGHAVAN V, et al. Thermal buckling of composite plates with spatial varying fiber orientations[J]. Composite Structures, 2015, 124: 228-235. [17] VESCOVINI R, DOZIO L. Thermal buckling behavior of thin and thick variable-stiffness panels[J]. Journal of Composite Science, 2018, 2(4): 58. [18] MANICKAM G, HABOUSSI M, OTTAVIO M, et al. Nonlinear thermo-elastic stability of variable stiffness curvilinear fibres based layered composite beams by shear deformable trigonometric beam model coupled with modified constitutive equations[J]. International Journal of Non-Linear Mechanics, 2023, 148: 104303. [19] OLIVERI V, MILAZZO A, WEAVER P M. Thermo-mechanical post-buckling analysis of variable angle tow composite plate assemblies[J]. Composite Structures, 2018, 183: 620-635. [20] LIANG K, MU J Q, LI Z. Thermal-mechanical buckling analysis and optimization of the stringer stiffened cylinder using smeared stiffener based reduced-order models[J], Computers & Mathematics with Applications, 2023, 143: 108-118. [21] NARAYAN D, GANAPATHI M, PRADYUMNA B, et al. Investigation of thermo-elastic buckling of variable stiffness laminated composite shells using finite element approach based on higher-order theory[J], Composite Structures, 2018, 211: 24-40. [22] CHEN X, NIE G, YANG X. Thermal postbuckling analysis of variable angle tow composite cylindrical panels[J], Journal of Thermal Stresses, 2021, 44: 850-882.

E-mail：hkxb@buaa.edu.cn

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

变刚度复材板壳结构优化及热环境下的屈曲

Optimization of Variable-Stiffness Composite Shells and Buckling under Thermal Environments

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