POSTBUCKLING RESPONSE OF CANTILEVER BEAMS OF NON-LINEAR ELASTIC MATERIAL SUBJECTED TO SUBTANGENTIAL FOLLOWER FORCES

This paper deals with the problem of the postbuckling response of a thin cantilever beam ofnon-linear material, subjected to subtangential follower forces. Based on the well-knownBernoulli-Euler bending moment-curvature relation, the proposed problem is reduced to a specialeigenvalue problem of non-linear differential equation. An approximate solution is achieved byusing a simple and very effective technique, which leads to reliable results even in the case of verylarge deflections. The initial postbuckling path depending on the subtangential follower forces inequilibrium is then obtained. Moreover, the individual and coupling effect of the subtangential fol-lower force, the material non-linearity and the beam slenderness ratio on the initial postbucklingpath are also discussed in detail.

POSTBUCKLING RESPONSE OF CANTILEVER BEAMS OF NON-LINEAR ELASTIC MATERIAL SUBJECTED TO SUBTANGENTIAL FOLLOWER FORCES

This paper deals with the problem of the postbuckling response of a thin cantilever beam of non-linear material, subjected to subtangential follower forces. Based on the well-known Bernoulli-Euler bending moment-curvature relation, the proposed problem is reduced to a special eigenvalue problem of non-linear differential equation. An approximate solution is achieved by using a simple and very effective technique, which leads to reliable results even in the case of very large deflections. The initial postbuckling path depending on the subtangential follower forces in equilibrium is then obtained. Moreover, the individual and coupling effect of the subtangential fol- lower force, the material non-linearity and the beam slenderness ratio on the initial postbuckling path are also discussed in detail.