WANG Xin-zhi, LIANG Cong-xing, HAN Ming-jun, YEH Kai-yuan, WANG Gang. Nonlinear Dynamical Behavior of Shallow Cylindrical Reticulated Shells[J]. Applied Mathematics and Mechanics, 2007, 28(2): 135-140.
Citation: WANG Xin-zhi, LIANG Cong-xing, HAN Ming-jun, YEH Kai-yuan, WANG Gang. Nonlinear Dynamical Behavior of Shallow Cylindrical Reticulated Shells[J]. Applied Mathematics and Mechanics, 2007, 28(2): 135-140.

Nonlinear Dynamical Behavior of Shallow Cylindrical Reticulated Shells

  • Received Date: 2006-05-25
  • Rev Recd Date: 2006-09-18
  • Publish Date: 2007-02-15
  • By using the method of quasi-shells,the nonlinear dynamic equations of three-dimensional single-layer shallow cylindrical reticulated shells with equilateral triangle cell were founded.By using the method of the separating variable function,the transverse displacement of the shallow cylindrical reticulated shells were given under the conditions of two edges simple support.The tensile force was solving from the compatible equations,a nonlinear dynamic differential equation containing the second and third order is derived by using the method of Galerkin.The stability near the equilibrium point was discussed by solving the Floquet exponent and the critical condition is obtained by using Melnikov function.Existence of the chaotic motion of the single-layer shallow cylindrical reticulated shell is approved by using the digital simulation method and Poincar mapped.
  • loading
  • [1]
    孙建恒,夏亨熹.网壳结构非线性动力稳定性分析[J].空间结构,1994,1(1):25-31.
    [2]
    周岱,刘红玉,李春祥.拉索-网壳结构的动力特性和非线性动力反应[J].振动与冲击,2002,21(1):7-11.
    [3]
    桂国庆,林智斌.单层网壳的动力稳定性分析[J].南昌大学学报,2003,25(1):43-47.
    [4]
    郭海山,沈世钊.单层网壳结构动力稳定性分析法[J].建筑结构学报,2003,24(3):1-9.
    [5]
    Afraimovich V S, Glebsky I Ya, Nekorkin V I. Stability of stationary states and spatial choas in multidimensional lattice dynamical systems[J].Random Computer Dynamic,1994,2:287-303.
    [6]
    Bunimovich L A, CaHen E A. On the problem of stability dynamical systems[J].Journal of Differential Equations,1995,123:213-229. doi: 10.1006/jdeq.1995.1163
    [7]
    丁雪兴,何世权,王新志.静载荷下圆形三向网架的非线性振动[J].甘肃工业学报,2003,29(1):102-105.
    [8]
    王 策.在强地震作用下球面网壳的动力稳定性[J].清华大学学报(自然科学版),2000,40(11):57-60.
    [9]
    王新志,王钢,赵艳影,等.圆形三向网架非线性动力稳定性分析[J].应用数学和力学, 2004,25(4):331-336.
    [10]
    王新志,梁从兴,栗蕾,等.扁锥面单层网壳的非线性动力学特性[J].动力学与控制学报,2004,2(3):14-17.
    [11]
    王新志,梁从兴,丁雪兴,等.单层扁锥面网壳的非线性动力稳定性分析[J].工程力学,2005,22:172-176.
    [12]
    陈士华,陆君安.混沌动力学初步[M].武汉:武汉水利电力大学出版社,1998.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2378) PDF downloads(784) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return