Nonlinear postbuckling analysis of frames with varying cross-section columns

Dynamic buckling of partially-sway frames with varying stiffness using catastrophe theory

“…Observing Eq. (20) it can be clearly deduced that the elastic supports do not affect at all that critical eccentricity. It is also worth noting that the critical eccentricities e c and e c,0 differ only in the quantity of the varying area of the column given by the 1 st of Eqs.…”

“…An efficient way to eliminate the unknown axial force of the girder ( 2 2 k ≅ 0 being negligibly small) by placing the translational spring at joint B instead of joint C, see Fig. 3(b), has been recently presented by Avraam and Fasoulakis [21]. This simplifies appreciably the stability analysis by reducing the structural system to one degree-of-freedom, while the results are very reliable.…”

“…The analysis of the problem is based on non-linear kinematic relations and moderately large rotations with small axial strains, taking into account variations of stiffness and cross-sectional area of the I-column. This frame has been studied using both linear and non-linear approaches [20]- [22]. Moreover, using moderate stability theory and non-linear stability analysis it is proven that the load carrying capacity of such frames is associated with asymmetric bifurcation in their ideal state.…”

“…In addition, a number of researchers have dealt with steel frames with non-prismatic sections [18]- [20]. However, the aforementioned techniques have not been applied to such structural systems.…”

Stability of non-prismatic frames with flexible connections and elastic supports

“…The effect of taper ratio on parametric stability of a rotating tapered beam investigated by Bulut (2013). Recently, Avraam and Fasoulakis (2013) studied linear and non-linear stability behavior of imperfect elastically supported tow member frame with non-uniform column.…”