Geometric Nonlinear Stability Analysis and Finding Simple Critical Points by Using Some Interpolation Functions

Optimal structural design is obtained by efficiently using material and members'' orientation. In this process، thin structures are designed. These kinds of structures are disabled against buckling. In other words، buckling phenomena causes system inefficiency، in spite of having the ability in the most parts of structure. Therefore، finding buckling load is very important. Generally، in order to study stability and calculating critical load، nonlinear structural analysis should be performed. At first، stability features are briefly discussed in this paper. Following this، some of the geometric nonlinear analysis techniques and stability analysis are reviewed. Finally، some of the interpolation functions are utilized and new methods for stability analysis are proposed.