Nonlinear Strain Components of General Shells with Initial Geometric Imperfections

Li Li-juan; Mei Zhan-xin; Wan Hong; Liu Feng

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(7): 651-657

Li Li-juan, Mei Zhan-xin, Wan Hong, Liu Feng. Nonlinear Strain Components of General Shells with Initial Geometric Imperfections[J]. Applied Mathematics and Mechanics, 1992, 13(7): 651-657.

Citation:

Li Li-juan, Mei Zhan-xin, Wan Hong, Liu Feng. Nonlinear Strain Components of General Shells with Initial Geometric Imperfections[J]. Applied Mathematics and Mechanics, 1992, 13(7): 651-657.

Citation:

Li Li-juan, Mei Zhan-xin, Wan Hong, Liu Feng. Nonlinear Strain Components of General Shells with Initial Geometric Imperfections[J]. Applied Mathematics and Mechanics, 1992, 13(7): 651-657.

PDF( 2511 KB)

Nonlinear Strain Components of General Shells with Initial Geometric Imperfections

Xi'an Institute of Metallurgy and Construction Engineering, Xi'an

Received Date: 1991-07-09
Publish Date: 1992-07-15

Abstract

Abstract

On the basis of nonlinear strain component formulations of three-dimensional continuum, this paper has derived the nonlinear strain component formulations of shells with initial geometric imperfections. The derivation is not confined to a special shell, therefore they possess general properties. These formulations provide the theoretical basis of the strain analysis for geometric nonlinear problems of shells with initial geometric imperfections.
- initial geometric imperfections,
- shells,
- nonlinear,
- strain

FullText(HTML)

References(11)

References

[1]	Kemp,K.O.and J.G.A.Groll,Report of the committee of inquiry into the collapse of the cooling tower at Ardeer Nylon Works,Ayrshire on Thursday,27th,September 1973,Enginerring Services Department,Imperial Chemical House,Millbank,London SWIP 3JF.
[2]	陈叔陶,中面接近规则曲面的薄壳的基本方程,力学学报,7(3) (1964).
[3]	卢文达、高世桥,旋转壳局部几何缺陷对其系统固有频率的影响,上海力学,(3)(1987).
[4]	Han,K.J and P.L.Gould,Shells of revolution with local deviations,Int.J.Num.Mech.Eng.,20 (1984).
[5]	Shiro,Kato and Yoshitura Yokoo,Effect of geometric imperfections on stress distributions in cooling tower,Eng.Struct.,7 (1980).
[6]	Dennis,S.T.and A.N.Palazotto,Large displacement and rotational formulation for laminated shells including parabolic transverse shear,Int.J.No陶启坤,壳体的非线性应变分量,应用数学和力学,3(4) (1982).
[7]	A,C,沃耳蜜耳,《柔韧板与柔韧壳》,科学出版社(1959).
[8]	B,B.诺沃日洛夫,《薄壳论》,科学出版社(1963).
[9]	北京大学固体力学教研室,《旋转壳的应力分析》,水力电力出版社(1979).
[10]	Bathe,K.J.,Finite Element Procedures in Engineering Analysis,Prentice-Hall Inc.Englewood Cliffs,N.J.,(1982).
[11]	B.B.诺沃日洛夫,《非线性弹性力学基础》,科学出版社(1958).