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.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanics of Materials
- Acoustics and Ultrasonics
- Mechanical Engineering