The numerical models presented here are verified based on experimental tests considering different structural characteristics including: material nonlinearity, geometrical imperfection, residual stresses and perforations.
In parallel to the experiments a finite element model is developed considering the geometrical and material nonlinearities and geometric imperfections.
Both strain-dependent material nonlinearity and geometrical nonlinearity by basemat uplift are considered through a beam on nonlinear Winkler soil element connected in series with gap element spring system (Abdel Raheem et al. 2002, 2003; Kobayashi et al. 2002).
The model considered both material nonlinearity and geometrical nonlinearity.
In Load Case WF, both material nonlinearity and geometrical nonlinearity effect is strong and detrimental to buckling behavior of steel silos, resulting in decrease of buckling resistance.
Based on the numerical integral method, a flexural stiffness reduction factor is proposed to consider characteristics of material nonlinearity and geometrical nonlinearity of reinforced concrete columns with equiaxial + shaped section.
Track structure is characterized by material nonlinearity and geometrical nonlinearity [7].
In the current model, an initial geometrical imperfection of (L/1000) as well as geometrical and material nonlinearities are included, where L denotes the span of the girder.
It can be noticed that the dynamic equilibrium equation of motion takes into consideration the different sources of nonlinearities (geometrical and material nonlinearities), which affect the calculation of the tangent stiffness and internal forces.
Geometrical and material nonlinearities were considered in the model.
