Exact solutions for the non-conservative elastic stability of non-uniform columns

Sen-Yung Lee; Y. H. Kuo

doi:10.1016/0022-460X(92)90512-V

Exact solutions for the non-conservative elastic stability of non-uniform columns

Sen-Yung Lee, Y. H. Kuo

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The exact characteristic equations for the non-conservative elastic stability of general elastic restrained non-uniform columns governed by a fourth order ordinary differential equation with arbitrarily varying polynomial coefficients are derived. The results are compared with those in the existing literature. In addition, the influence of the boundary conditions, taper ratio and variation of linearly distributed tangential forces on the non-conservative elastic stability of two kinds of tapered columns subjected to linearly distributed tangential forces is investigated. It is shown that the parameter e of the linearly distributed tangential forces g(X) = g₀(1-eX/l) has great influence on the instability mechanism for the clamped-clamped columns.

Original language	English
Pages (from-to)	291-301
Number of pages	11
Journal	Journal of Sound and Vibration
Volume	155
Issue number	2
DOIs	https://doi.org/10.1016/0022-460X(92)90512-V
Publication status	Published - 1992 Jun 8

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

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10.1016/0022-460X(92)90512-V

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abstract = "The exact characteristic equations for the non-conservative elastic stability of general elastic restrained non-uniform columns governed by a fourth order ordinary differential equation with arbitrarily varying polynomial coefficients are derived. The results are compared with those in the existing literature. In addition, the influence of the boundary conditions, taper ratio and variation of linearly distributed tangential forces on the non-conservative elastic stability of two kinds of tapered columns subjected to linearly distributed tangential forces is investigated. It is shown that the parameter e of the linearly distributed tangential forces g(X) = g0(1-eX/l) has great influence on the instability mechanism for the clamped-clamped columns.",

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AB - The exact characteristic equations for the non-conservative elastic stability of general elastic restrained non-uniform columns governed by a fourth order ordinary differential equation with arbitrarily varying polynomial coefficients are derived. The results are compared with those in the existing literature. In addition, the influence of the boundary conditions, taper ratio and variation of linearly distributed tangential forces on the non-conservative elastic stability of two kinds of tapered columns subjected to linearly distributed tangential forces is investigated. It is shown that the parameter e of the linearly distributed tangential forces g(X) = g0(1-eX/l) has great influence on the instability mechanism for the clamped-clamped columns.

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