General Axisymmetry Problems for Shells of Revolution and Analyses of Intergral Equation

Chen Shanlin; Liu Dong

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Chen Shanlin, Liu Dong. General Axisymmetry Problems for Shells of Revolution and Analyses of Intergral Equation[J]. Applied Mathematics and Mechanics, 1998, 19(6): 471-479.

Citation:

Chen Shanlin, Liu Dong. General Axisymmetry Problems for Shells of Revolution and Analyses of Intergral Equation[J]. Applied Mathematics and Mechanics, 1998, 19(6): 471-479.

Citation:

Chen Shanlin, Liu Dong. General Axisymmetry Problems for Shells of Revolution and Analyses of Intergral Equation[J]. Applied Mathematics and Mechanics, 1998, 19(6): 471-479.

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General Axisymmetry Problems for Shells of Revolution and Analyses of Intergral Equation

Chen Shanlin¹,
Liu Dong²

1.
Chongqing Jianzhu University, Chongqing 400045, P. R. China

Received Date: 1996-12-03
Rev Recd Date: 1997-09-22
Publish Date: 1998-06-15

Abstract

Abstract

In this paper, a simplified equation in complex form for axisymmetry elastic thin shells of revolution under arbitrary distributed loads is given. The equation is equivalent to the exact equations within the error range of the thin shell theory, with the singularities at the points of meridional extreme values eliminated. A Volterra integral equation of the problem and the numerical solutions are given.
- shell of revolution,
- axisymmetry problems,
- integral equation

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References(9)

References

[1]	W.Flgge,Stresses in Shells,2nd.,New York(1973).
[2]	S.Timoshenko and S.Woinowsky-Krieger,《板壳理论》,科学出版社,北京(1977).
[3]	杨耀乾,《薄壳理论》,中国铁道出版社,北京(1981).
[4]	陈山林,椭圆环壳在一般荷载下的轴对称问题,中国科学(A辑),(6)(1989),625-636.
[5]	钱伟长,一般旋转壳在轴对称变形下的复变量方程,应用数学和力学,11(7)(1990),565-580.
[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精确解,清华大学学报,19(1979),27-41.
[7]	陈山林,圆环壳在一般荷载下的轴对称问题,应用数学和力学,7(5)(1986),425-434.
[8]	钱伟长,《应用数学和力学论文集》,江苏科学技术出版社(1980).
[9]	陈山林,悬链线壳的轴对称问题,《应用数学和力学(钱伟长八十诞辰祝寿文集)》,科学出版社(1993),285-289.