Abstract
It is accurate to use the theory of finite displacements and finite strains for the analysis of geometrical nonlinearity of structures. However, the governing equation for this theory becomes highly nonlinear and its direct use makes the solution procedure very much complicated. So approximate numerical methods, respectively referred to as the corotational method and the method with the Rigid Bodies-Spring Model, are often used to simplify the solution procedure for the framed structures. Herein, we precisely examine their theoretical accuracy as well as the convergence to the exact solutions. Based on this result, we further discuss an efficient method to be adopted in the analysis of frames considering finite displacements and finite strains.
