[1]LIANG J Q, ZHAO F, WU D, et al.A numerical method for predicting bursting strength of composite rocket motor case considering filament winding process-induced stress[J].Chinese Journal of Aeronautics, 2025, 38(2):103340-103340
[2]PRUSTY B, SATSANGI S.Analysis of stiffened shell for ships and ocean structures by finite element method[J].Ocean Engineering, 2001, 28(6):621-638
[3]LEE K J, HWANG H S.Probabilistic undrained resistance of subsea buried pipelines against upheaval bucking[J].Ocean Engineering, 2025, 316(1):119981-119981
[4]GAO Y, LI Z B, WEI X Y, et al.Advanced lightweight composite shells: Manufacturing, mechanical characterizations and applications[J].Thin-Walled Structures, 2024, 204(1):112286-112286
[5]孟亮, 杨金沅, 杨智威, 等.典型飞机壁板结构的抗屈曲优化设计与试验验证[J].航空学报, 2024, 45(5):373-384
[6]MENG L, YANG J Y, YANG Z W, et al.Buckling-resisting optimization design of typical aircraft panel and test validation[J].Acta Aeronautica et Astronautica Sinica, 2024, 45(05):373-384
[7]KUMAR P, SRINIVASA C.On buckling and free vibration studies of sandwich plates and cylindrical shells: A review[J].Journal of Thermoplastic Composite Materials, 2020, 33(5):673-724
[8]苏少普, 常文魁, 陈先民.飞机典型壁板结构剪切屈曲疲劳试验与分析方法[J].航空学报, 2022, 43(05):274-283
[9]SU S P, CHANG W K, CHEN X M.Fatigue buckling test and analytical approach of aircraft typical panel structures[J].Acta Aeronautica et Astronautica Sinica, 2022, 43(05):274-283
[10]MUSA A E S, AL-AINIEH M M K, AL-OSTA M A.Buckling of circular cylindrical shells under external pressures-A critical review[J].Journal of Constructional Steel Research, 2025, 228(1):109439-109439
[11]陈志平, 焦鹏, 马赫, 等.基于初始缺陷敏感性的轴压薄壁圆柱壳屈曲分析研究进展[J].机械工程学报, 2021, 57(22):114-129
[12]CHEN Z P, JIAO P, MA H, et al.Advances in Buckling Analysis of Axial Compression Loaded Thin-walled Cylindrical Shells Based on Initial Imperfection Sensitivity[J].Journal Of Mechanical Engineering, 2021, 57(22):114-129
[13]王博, 田阔, 郑岩冰, 等.超大直径网格加筋筒壳快速屈曲分析方法[J].航空学报, 2017, 38(2):183-191
[14]WANG B, TIAN K, ZHENG Y B, et, al.A rapid buckling analysis method for large scale grid stiffened cylindrical shells[J].Acta Aeronautica et Astronautica Sinica, 2017, 38(2):183-191
[15]XU X, CARRERA E, YANG H, et al.Evaluation of stiffeners effects on buckling and post-buckling of laminated panels[J].Aerospace Science and Technology, 2022, 123(1):107431-107431
[16]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):205-216
[17]HUANG Y, WANG Z, CHEN P H.Numerical analysis method for buckling behavio of variable stiffness laminates with defects[J].Acta Aeronautica et Astronautica Sinica, 2023, 44(24):205-216
[18]KIM H.Monte Carlo Statistical Methods[J].Technometrics, 2000, 42(4):430-431
[19]STEFANOU G.The stochastic finite element method: past,present and future[J].Computer Methods in Applied Mechanics And Engineering, 2009, 198(9-12):1031-1051
[20]WIENER N.The homogeneous chaos[J].American Journal of Mathematics, 1938, 60(4):897-936
[21]XIU D, KARNIADAKIS G E.The Wiener--Askey polynomial chaos for stochastic differential equations[J].SIAM Journal on Scientific Computing, 2002, 24(2):619-644
[22]CAUGHEY T K.Derivation and application of the Fokker-Planck equation to discrete nonlinear dynamic systems subjected to white random excitation[J].Journal of the Acoustical Society of America, 1963, 35(11):1683-1692
[23]KAMINSKI M.The stochastic perturbation method for computational mechanics[M]. John Wiley & Sons, 2013.
[24]李杰, 陈建兵.随机结构动力反应分析的概率密度演化方法[J].力学学报, 2003, 35(4):437-442
[25]LI J, CHEN J B.Probability density evolution method for analysis of stochastic structural dynamic response[J].Chinese Journal of Theore-tical and Applied Mechanics, 2003, 35(4):437-442
[26]LI J, CHEN J B.Probability density evolution method for dynamic response analysis of structures with uncertain parameters[J].Comput-ational Mechanics, 2004, 35(4):400-409
[27]CHEN G H, YANG D X.Direct probability integral method for stochastic response analysis of static and dynamic structural systems[J].Computer Methods in Applied Mechanics and Engineering, 2019, 357(1):112612-112612
[28]ZHANG X L, ZHANG K J, YANG X, et al.Transfer learning and direct probability intergral method based reliability analysis for offshore wind turbine blades under multi-physics coupling[J].Renewable Energy, 2023, 206(1):552-565
[29]WANG T F, ZHOU J S, SUN W J, et al.A DPIM-based probability analysis framework to obtain railway vehicle vibration characteristics considering the randomness of OOR wheel[J].Probabilistic Engineering Mechanics, 2024, 75(1):103587-103587
[30]CHEN G, GAO P, LI H, et al.Fatigue reliability assessment of turbine blade via direct probability integral method[J].Chinese Journal of Aeronautics, 2025, 38(4):103328-103328
[31]YANG D, LIU J, YU R, et al.Unified framework for stochastic dynamic responses and system reliability analysis of long-span cable-stayed bridges under near-fault ground motions[J].Engineering Structures, 2025, 322(PA):119061-119061
[32]POWELL M J D.Radial basis functions for multivariable interpolation: a review[J].Algorit-hms for approximation, 1987, 1(1):143-167
[33]JIN R, CHEN W, SIMPSON T W.Comparative studies of metamodelling techniques under multiple modelling criteria[J].Structural and multidisciplinary optimization, 2001, 23(1):1-13
[34]FORRESTER A, SOBESTER A, KEANE A.Engineering design via surrogate modelling: a practical guide[M]. John Wiley & Sons, 2008..
[35]GOODFELLOW I, BENGIO Y, COURVILLE A.Deep Learning[M]. Boston: MIT Press, 2016.
[36]BRUSH D O, ALMROTH B O, HUTCHINSON J W.Buckling of bars,plates,and shells[J].Journal of Applied Mechanics, 1975, 42(4):911-911
[37]REDDY J N.Theory and analysis of elastic plates and shells[M]. CRC press, 2006.
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