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耦合载荷冲击下圆柱壳的动态屈曲

马建青 徐新生

马建青, 徐新生. 耦合载荷冲击下圆柱壳的动态屈曲[J]. 应用数学和力学, 2014, 35(5): 510-522. doi: 10.3879/j.issn.1000-0887.2014.05.005
引用本文: 马建青, 徐新生. 耦合载荷冲击下圆柱壳的动态屈曲[J]. 应用数学和力学, 2014, 35(5): 510-522. doi: 10.3879/j.issn.1000-0887.2014.05.005
MA Jian-qing, XU Xin-sheng. Dynamic Buckling of Cylindrical Shells Under Coupled Impact Loads[J]. Applied Mathematics and Mechanics, 2014, 35(5): 510-522. doi: 10.3879/j.issn.1000-0887.2014.05.005
Citation: MA Jian-qing, XU Xin-sheng. Dynamic Buckling of Cylindrical Shells Under Coupled Impact Loads[J]. Applied Mathematics and Mechanics, 2014, 35(5): 510-522. doi: 10.3879/j.issn.1000-0887.2014.05.005

耦合载荷冲击下圆柱壳的动态屈曲

doi: 10.3879/j.issn.1000-0887.2014.05.005
详细信息
    作者简介:

    马建青(1977―),女, 河北望都人, 博士(通讯作者. E-mail: majianqing2000@163.com)

  • 中图分类号: O343.9

Dynamic Buckling of Cylindrical Shells Under Coupled Impact Loads

  • 摘要: 考虑轴向、扭转耦合应力波在圆柱壳中的传播,对弹性长圆柱壳动态屈曲问题进行了探讨.首先建立问题的Hamilton(哈密顿)体系,在此基础上,临界屈曲载荷和屈曲模态转化为辛空间中的辛本征值和本征解问题,借助于Hamilton体系的性质和完备性给出了一个完备的屈曲模态空间,揭示了各临界载荷和屈曲模态在辛体系中与辛本征值和本征解的对应关系.长圆柱壳在轴向和扭转耦合冲击载荷下的动态屈曲,由于轴向应力波和扭转应力波传播速度不同,使得应力纵波和横波在圆柱壳的传播与反射中不同步,圆柱壳被分成多个区域,每个区域的应力、位移和边界条件各不相同.数值结果给出了固支及简支边界条件下圆柱壳的临界载荷曲线和屈曲模态,着重探讨了不同类型的一阶屈曲模态.
  • [1] Bisagni C, Cordisco C. An experimental investigation into the buckling and post-buckling of CFRP shells under combined axial and torsion loading[J].Composite Structures,2003,60(4): 391-402.
    [2] Bisagni C, Cordisco P. Post-buckling and collapse experiments of stiffened composite cylindrical shells subjected to axial loading and torque[J].Composite Structures,2006,73(2): 138-149.
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    [4] Azam T. Delaminating buckling and post buckling in composite cylindrical shells under combined axial compression and external pressure[J].Composite Structures,2006,〖STHZ〗72(4): 401-418.
    [5] Diaconu C G, Sato M, Sekine H. Buckling characteristics and layup optimization of long laminated composite cylindrical shells subjected to combined loads using lamination parameters[J].Composite Structures,2002,58(4): 423-433.
    [6] 黄承义, 刘土光, 郑际嘉. 圆柱壳在径向冲击载荷作用下的弹性脉冲屈曲[J].应用数学和力学, 1996,17(8): 735-741.(HUANG Cheng-yi, LIU Tu-guang, ZHENG Ji-jia. Elastic pulse buckling of cylindrical shells under radial impulsive loading[J].Applied Mathematics and Mechanics,1996,17(8): 735-741.(in Chinese))
    [7] 吴斌, 韩强, 杨桂通. 正交异性圆柱壳受冲扭联合作用的弹性波传播[J]. 北京工业大学学报, 1999,25(4): 23-28, 34.(WU Bing, HAN Qiang, YANG Gui-tong. Action of axial impact and torsion[J].Journal of Beijing Polytechnic University,1999,25(4): 23-28, 34.(in Chinese))
    [8] 王德禹, 张善元, 杨桂通. 刚塑性圆柱壳的冲击扭转屈曲[J]. 应用数学和力学, 1993,14(8): 659-664.(WANG De-yu, ZHANG Shan-yuan, YANG Gui-tong. The impact torsional buckling for the rigid plastic cylindrical shell[J]. Applied Mathematics and Mechanics,1993,14(8): 659-664.(in Chinese))
    [9] 姚伟岸, 钟万勰. 辛弹性力学[M]. 北京: 高等教育出版社, 2002.(YAO Wei-an, ZHONG Wan-xie.Symplectic Elasticity [M]. Beijing: Higher Education Press, 2002.(in Chinese))
    [10] XU Xin-sheng, MA Yuan, Lim C W, CHU Hong-jie. Dynamic buckling of cylindrical shells subject to an axial impact in a symplectic system[J].International Journal of Solids and Structures,2006,43(13): 3905-3919.
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出版历程
  • 收稿日期:  2013-08-08
  • 修回日期:  2013-12-10
  • 刊出日期:  2014-05-15

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