YUAN Hong, ZHANG Xiang-wei. Method of Green’s Function of Corrugated Shells[J]. Applied Mathematics and Mechanics, 2005, 26(7): 763-769.
Citation: YUAN Hong, ZHANG Xiang-wei. Method of Green’s Function of Corrugated Shells[J]. Applied Mathematics and Mechanics, 2005, 26(7): 763-769.

Method of Green’s Function of Corrugated Shells

  • Received Date: 2004-05-13
  • Rev Recd Date: 2005-03-11
  • Publish Date: 2005-07-15
  • By using the fundamental equations of axisymmetric shallow shells of revolution, the nonlinear bending of a shallow corrugated shell with taper under arbitrary load has been investigated. The nonlinear boundary value problem of the corrugated shell was reduced to the nonlinear integral equations by using the method of Green's function. To solve the integral equations, expansion method was used to obtain Green's function. Then the integral equations were reduced to the form with degenerate core by expanding Green's function as series of characteristic function. Therefore, the integral equations become nonlinear algebraic equations. Newton's iterative method was utilized to solve the nonlinear algebraic equations. To guarantee the convergence of the iterative method, deflection at center was taken as control parameter. Corresponding loads were obtained by increasing deflection one by one. As a numerical example, elastic characteristic of shallow corrugated shells with spherical taper was studied. Calculation results show that characteristic of corrugated shells changes remarkably. The snapping instability which is analogous to shallow spherical shells occurs with increasing load if the taper is relatively large. The solution is close to the experimental results.
  • loading
  • [1]
    Chambers L G.Integral Equation: A Short Course[M].London: International Textbook Company Limited, 1976.
    Fu K C, Harb A I. Integral equation method for spherical shell under axisymmetric loads[J].Journal of Engineering Mechanics,ASCE,1990,116(2):309—323. doi: 10.1061/(ASCE)0733-9399(1990)116:2(309)
    LIU Ren-huai,YUAN Hong. Nonlinear bending of corrugated annular plate with large boundary corrugation[J].Applied Mech Eng,1997,2(3):353—367.
    Андреева Л Е.Упругие Элементы Приборов[M].Москва: Машиностроение, 1981.
    Феодосьев В И.Упругие Элементы Точного Приборостроения[M].Москва: Государственное Издательство оборонной Промышленности,1949. 186-206.
    Libai A,Simmonds J G.The Nonlinear Theory of Elastic Shells of One Spatial Dimension[M].Boston: Academic Press, 1988. 206—212.
  • 加载中


    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 (2262) PDF downloads(547) Cited by()
    Proportional views


    DownLoad:  Full-Size Img  PowerPoint