ZHU Wei-ping, HUANG Qian. General Solution of the Overall Bending of Flexible Circular Ring Shells With Moderately Slender Ratio and Applications to the Bellows(Ⅱ)-Calculation for Omega-Shaped Bellows[J]. Applied Mathematics and Mechanics, 2002, 23(8): 798-804.
Citation: ZHU Wei-ping, HUANG Qian. General Solution of the Overall Bending of Flexible Circular Ring Shells With Moderately Slender Ratio and Applications to the Bellows(Ⅱ)-Calculation for Omega-Shaped Bellows[J]. Applied Mathematics and Mechanics, 2002, 23(8): 798-804.

General Solution of the Overall Bending of Flexible Circular Ring Shells With Moderately Slender Ratio and Applications to the Bellows(Ⅱ)-Calculation for Omega-Shaped Bellows

  • Received Date: 2001-05-23
  • Rev Recd Date: 2002-04-11
  • Publish Date: 2002-08-15
  • (Ⅱ) is one of the applications of (Ⅰ),in which the angular stiffness,the lateral stiffness and the corresponding stress distributions of Omega-shaped bellows were calculated,and the present results were compared with those of the other theories and experiments.It is shown that the non-homogenous solution of (Ⅰ) can solve the pure bending problem of the bellows by itself,and be more effective than by the theory of slender ring shells;but if a lateral slide of the bellows support exists the non-homogenous solution will no longer entirely satisfy the boundary conditions of the problem,in this case the homogenous solution of (Ⅰ)should be included,that is to say,the full solution of (Ⅰ) can meet all the requirements.
  • loading
  • [1]
    钱伟长. 波纹管的制造、设计、实验和理论[A]. 见:钱伟长. 应用数学和力学论文集[C]. 南京:江苏科技出版社,1979,110-126.
    [2]
    Standards of the Expansion Joint Manufacturers Association (EJMA)[S]. EJMA, INC, Seventh Edition, New York,1998.
    [3]
    Dahl N C. Toroidal-shell expansion joints[J]. Journal of Applied Mechanics, ASME,1953,20(4):497-503.
    [4]
    钱伟长. 细环壳极限方程的非齐次解及其在仪器仪表上的应用[J]. 仪器仪表学报,1980,1(1):89-112.
    [5]
    ZHU Wei-ping, GUO Ping. Application of non-homogeneous solution for equations of slender ring shells to overall-bending problem of Ω-shaped bellows[J]. Journal of Shanghai University,1999,3(2):121-126.
    [6]
    钱伟长,郑思梁. 轴对称圆环壳的复变量方程和轴对称细环壳的一般解[J]. 清华大学学报,1979,19(1):27-47.
    [7]
    钱伟长,郑思梁. 轴对称圆环壳的一般解[J]. 应用数学和力学,1980,1(3):287-299.
    [8]
    朱卫平,黄黔,郭平. 柔性圆环壳在子午面内整体弯曲的复变量方程及细环壳的一般解[J]. 应用数学和力学,1999,20(9):889-895.
  • 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 (2540) PDF downloads(456) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return