Buckling and Frequencies of Long Vertical Pipes

by Tseng Huang,
D. W. Dareing,

Serial Information: Journal of the Engineering Mechanics Division, 1969, Vol. 95, Issue 1, Pg. 167-182

Document Type: Journal Paper


The critical lengths (or weights) and the natural frequencies of transverse vibration of vertical pipes having different end constraints are determined by the use of a power series. It is assumed that the pipes are subjected to a hydrostatic pressure. Due to gravity, the axial force in a pipe varies linearly along the length of the pipe. The critical lengths are given in a dimensionless form, and the frequencies are presented numerically as a function of the weight-length parameter. The physical interpretations of the results are also given.

Subject Headings: Buckling | Pipes | Pressure pipes | Gravity forces | Natural frequency | Vibration | Vertical loads | Energy consumption

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