Buckling and Post-buckling Behavior of a Pipe Subjected to Internal Pressure

[+] Author and Article Information
D. M. Tang

Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27706

M. A. Ilgamov

Institute of Mechanicas at Kazan, The Russian Academy of Sciences

E. H. Dowell

School of Engineering, Duke University, Durham, NC 27706

J. Appl. Mech 62(3), 595-600 (Sep 01, 1995) (6 pages) doi:10.1115/1.2895987 History: Received November 06, 1992; Revised May 06, 1994; Online October 30, 2007


It is well known that a thin elastic shell under external pressure may undergo buckling and collapse. Less well known is that a hollow beam under internal pressure may buckle as an Euler column. This is the subject of the present study. The buckled deflection and natural frequency about the buckled configuration of a vertical pipe with clamped (y -axis) and hinged (z -axis) boundary conditions at the lower support location, considering the influence of internal pressure and initial (manufactured) curvature, has been studied analytically and experimentally. The buckling and post-buckling behavior of the pipe beam with an initial static deflection depends upon the nonlinear coupling due to deflection in the two directions including the anisotropic boundary condition at the one support location. The coupling effects increase as the internal pressure and the initial static deflection increase. When the initial static deflection is zero, the coupling effect disappears. The theoretical results agree reasonably well with the experiments.

Copyright © 1995 by The American Society of Mechanical Engineers
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