Research Papers: Design and Analysis

Analytical Study on the Buckling of Cylindrical Shells With Arbitrary Thickness Imperfections Under Axial Compression

[+] Author and Article Information
Guowei Cao, Licai Yang, Haigui Fan, Fan Zhou

Department of Chemical and
Biological Engineering,
Institute of Process Equipment,
Zhejiang University,
38# Zheda Road, Hangzhou,
Zhejiang 310027, China

Zhiping Chen

Department of Chemical and
Biological Engineering,
Institute of Process Equipment,
Zhejiang University,
38# Zheda Road, Hangzhou,
Zhejiang 310027, China
e-mail: zhiping@zju.edu.cn

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received July 8, 2013; final manuscript received March 10, 2014; published online September 15, 2014. Assoc. Editor: Spyros A. Karamanos.

J. Pressure Vessel Technol 137(1), 011201 (Sep 15, 2014) (9 pages) Paper No: PVT-13-1111; doi: 10.1115/1.4027179 History: Received July 08, 2013; Revised March 10, 2014

This paper presents an analytical study on the buckling of axially compressed cylindrical shells with arbitrary thickness imperfections (nonaxisymmetric and axisymmetric). First, the basic governing partial differential equations, which consider thickness imperfections, are obtained. Second, a unified method that combines the perturbation method and Fourier series expansion is developed to derive buckling load, radial displacement and stress function, that are expressed by triple series in terms of thickness imperfection parameter and buckling modes up to arbitrary order. Third, two patterns of nonaxisymmetric thickness imperfections, which are modal and exponential, are, respectively, investigated. These results are absolutely new to literature. When modal thickness imperfection becomes axisymmetric, the buckling loads degenerate to the known results. In addition to the analytical investigation, analyses and comparisons are also carried out.

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Grahic Jump Location
Fig. 1

An axially compressed cylindrical shell with thickness imperfections

Grahic Jump Location
Fig. 2

Buckling load reduction factor versus thickness imperfection parameter

Grahic Jump Location
Fig. 3

Buckling load reduction factor versus thickness attenuation wavelength parameter



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