Stress Analysis of Hyperbolic Shells of Revolution with Non Axisymmetrical Geometric Imperfections

Tong Guang-shan; Kye J. Han

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Article Navigation > Applied Mathematics and Mechanics > 1986 > 7(10): 867-876

Tong Guang-shan, Kye J. Han. Stress Analysis of Hyperbolic Shells of Revolution with Non Axisymmetrical Geometric Imperfections[J]. Applied Mathematics and Mechanics, 1986, 7(10): 867-876.

Citation:

Tong Guang-shan, Kye J. Han. Stress Analysis of Hyperbolic Shells of Revolution with Non Axisymmetrical Geometric Imperfections[J]. Applied Mathematics and Mechanics, 1986, 7(10): 867-876.

Citation:

Tong Guang-shan, Kye J. Han. Stress Analysis of Hyperbolic Shells of Revolution with Non Axisymmetrical Geometric Imperfections[J]. Applied Mathematics and Mechanics, 1986, 7(10): 867-876.

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Stress Analysis of Hyperbolic Shells of Revolution with Non Axisymmetrical Geometric Imperfections

Tong Guang-shan¹,
Kye J. Han²

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai;
2.
Department of Civil Engineering, University of Houston, Houston, U. S. A.

Received Date: 1985-07-27
Publish Date: 1986-10-15

Abstract

Abstract

In analyzing hyperbolic shells of revolution with non-axisymmeteric imperfections, an approximate method based on simulating the effect of imperfections by the application of fictitious normal pressure loading on the perfect shell is investigated. In the analysis of a shell of revolution with a bulge-type imperfection under non-axisymmetric loads, an efficient algorithm of applying the method is developed; the effect of individual curvature errors on stress resultants and couples are separately considered, while the interactions among various curvature errors are properly treated in the analysis by an iterative procedure. This algorithm avoids repeated analyses for non-axisymmetric loads and may be implemented with a purely axisymmetric analysis capability.A hyperbolic cooling tower shell with a bulge-type imperfection is analyzed under dead load and wind load conditions by the equivalent load method. A direct analysis of the imperfect shell is also made by a specialized finite element program. Through numerical studies, the accuracy qnd applicability of the equivalent load method are examined.

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References(15)

References

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