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薄板的后屈曲损伤分析与疲劳寿命预估

肖浩 胡伟平 张淼 孟庆春

肖浩, 胡伟平, 张淼, 等 . 薄板的后屈曲损伤分析与疲劳寿命预估[J]. 北京航空航天大学学报, 2015, 41(3): 523-529. doi: 10.13700/j.bh.1001-5965.2014.0174
引用本文: 肖浩, 胡伟平, 张淼, 等 . 薄板的后屈曲损伤分析与疲劳寿命预估[J]. 北京航空航天大学学报, 2015, 41(3): 523-529. doi: 10.13700/j.bh.1001-5965.2014.0174
XIAO Hao, HU Weiping, ZHANG Miao, et al. Post-buckling damage analysis and fatigue life prediction of thin plate[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(3): 523-529. doi: 10.13700/j.bh.1001-5965.2014.0174(in Chinese)
Citation: XIAO Hao, HU Weiping, ZHANG Miao, et al. Post-buckling damage analysis and fatigue life prediction of thin plate[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(3): 523-529. doi: 10.13700/j.bh.1001-5965.2014.0174(in Chinese)

薄板的后屈曲损伤分析与疲劳寿命预估

doi: 10.13700/j.bh.1001-5965.2014.0174
详细信息
    作者简介:

    肖浩(1990—),男,湖北天门人,硕士生,hotboyhao@gmail.com

    通讯作者:

    胡伟平(1975—),男,湖南常德人,副教授,huweiping@buaa.edu.cn,主要研究方向为疲劳断裂、损伤力学.

  • 中图分类号: O346.5

Post-buckling damage analysis and fatigue life prediction of thin plate

  • 摘要: 针对薄板在面内压缩载荷作用下的后屈曲损伤问题进行了研究,并进一步考虑屈曲与疲劳损伤的耦合作用,预估了薄板的疲劳寿命.首先建立了薄板的有限元模型,通过线性屈曲分析得到屈曲临界载荷和屈曲模态,进而采用大变形理论,将线性屈曲的一阶屈曲模态作为初始位移扰动,进行薄板的非线性屈曲分析,得到屈曲临界载荷.其次,根据损伤力学理论与方法建立了薄板材料在单次加载过程中的损伤演化方程,并根据材料疲劳试验结果进行参数识别,获取损伤演化参数.根据非线性屈曲分析结果和损伤演化方程进行了后屈曲损伤分析.最后,考虑疲劳载荷的作用,基于损伤力学理论,采用有限元数值方法求解,考虑每次加载引起的损伤与后屈曲应力应变场分析的耦合作用,通过反复迭代计算,给出了结构疲劳寿命.本研究为工程结构的后屈曲损伤分析以及考虑后屈曲损伤的疲劳寿命分析提供了一种新方法和实现手段.

     

  • [1] Duncan W J. Galerkin's method in mechanics and differential equations, ADA951862[R].London:Aeronautical Research Council,1937.
    [2] Elishakoff I, Rollot O.New closed-form solutions for buckling of a variable stiffness column by Mathematica[J].Journal of Sound and Vibration,1999,224(1):172-182.
    [3] von Kármán T,Tsien H.The buckling of thin cylindrical shells under axial compression[J].Journal of the Aeronautics Science,1941,8(6):303-312.
    [4] Donnell L H, Wan C C.Effect of imperfections on buckling of thin cylinders and columns under axial compression[J].Journal of Applied Mechanics-transactions of the ASME,1950,17(1):73-83.
    [5] Koiter W T. The stability of elastic equilibrium,AD0704124[R].Standford:Department of Aeronautics and Astronautics of Standford University,1970.
    [6] Stein M. Some recent advances in the investigation of shell buckling[J].AIAA Journal,1968,6(12):2339-2345.
    [7] Kong C, Bang J,Sugiyama Y.Structural investigation of composite wind turbine blade considering various load cases and fatigue life[J].Energy,2005,30(11):2101-2114.
    [8] Rhead A T, Butler R,Hunt G W.Post-buckled propagation model for compressive fatigue of impact damaged laminates[J],International Journal of Solids and Structures,2008,45(16):4349-4361.
    [9] 李世荣,刘平. 弹性地基上Euler-Bernoulli梁的热屈曲模态跃迁特性[J].应用力学学报,2011,28(1):90-94. Li S R,Liu P.Thermal buckling mode transition characteristics of Euler-Bernoulli beam on the elastic foundation[J].Journal of Applied Mechanics,2011,28(1):90-94(in Chinese).
    [10] 贺尔铭,张钊, 胡亚琪,等.单轴压缩载荷下夹层梁结构屈曲及皱曲模拟研究[J].西北工业大学学报,2012,30(5):668-674. He E M,Zhang Z,Hu Y Q,et al.Buckling and wrinkling study of sandwich beam under uniaxial compression load[J].Journal of Northwestern Polytechnical University,2012,30(5):668-674(in Chinese).
    [11] 左志亮,蔡健, 朱昌宏.带约束拉杆L形钢管混凝土短柱的偏压试验研究[J].东南大学学报:自然科学版,2010,40(2): 346-351. Zuo Z L,Cai J,Zhu C H.Bias experimental study on the binding L-shaped concrete bars filled with steel tubes[J].Journal of Southeast University:Natural Sciences,2010,40(2):346-351(in Chinese).
    [12] 夏盛来,何景武, 海尔瀚.大展弦比机翼屈曲及后屈曲分析[J].机械强度,2012,33(6):907-912. Xia S L,He J W,Hai E H.Buckling and post-buckling analysis of the high aspect ration wing[J].Mechanics Strength,2012,33(6): 907-912(in Chinese).
    [13] 吴学仁. 飞机结构金属材料力学性能手册:静强度疲劳/耐久性[M].北京:航空工业出版社,1996:225-353. Wu X R.Manual of metal material mechanics performance of the plane structure:static fatigue strength/durability[M].Beijing:Aviation Industry Press,1996:225-353(in Chinese).
    [14] 王勖成. 有限单元法[M].北京:清华大学出版社,2003:649-651. Wang X C.The finite element method[M].Beijing:Tsinghua University Press,2003:649-651(in Chinese).
    [15] Lemaitre J, Desmorat R.Engineering damage mechanics:ductile,creep,fatigue and brittle failures[M].Berlin:Springer,2005:3-6.
    [16] 张行,崔德渝, 孟庆春.断裂与损伤力学[M].北京:北京航空航天大学出版社,2006:329-331. Zhang X,Cui D Y,Meng Q C.Fracture and damage mechanics[M].Beijign:Beijing University of Aeronautics and Astronautics Press,2006:329-331(in Chinese).
    [17] 张淼. 构件疲劳寿命预估的多变量损伤力学方法[D].北京:北京航空航天大学,2009. Zhang M.Multivariate fatigue damage mechanics methods of fatigue life prediction of the structure[D].Beijing:Beijing University of Aeronautics and Astronautics,2009(in Chinese).
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出版历程
  • 收稿日期:  2014-04-03
  • 网络出版日期:  2015-03-20

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