Mechanical Modeling and General Analytical Solution for the Dynamic Buckling of Plane Structures Using a Beam-Column Element with Varying End Restraints

The stability of structures is an important aspect that the designer must pay particular attention to in order ensure safety against collapse. This investigation concerned with analytical and numerical analyses dynamic buckling plane structures. A rigorous mechanical model proposed, consisting a beam-column element nodal ends possessing two rotational springs rigidities acting parallel bending stiffness beam-column. first analyzed respect behavior by investigating influence variation on fundamental frequency proposed model. Compression axial loading applied study nonlinear introducing buckling. novel approach used highlight interaction between critical load. Simple examples are treated using results compared those obtained from global analysis. revealed it possible reproduce analysis structure simply analyzing target element, taking into account all elements adjacent less than 1% error results.