LAUSR

In this study, the new groups of iterative techniques for solving nonlinear equations used for geometrically nonlinear analysis of space truss are extended by applying the iterative methods. Iteration of the suggested methods lies in a three-step algorithm. Also, the analysis results of convergence show that the proposed techniques have fourth-order convergence. Also, the Newton–Raphson method has been applied to determine the response of nonlinear equations. Various numerical examples (space trusses) to the presentation of the efficiency of the suggested methods comparatively against the Newton–Raphson method were presented. The results show that new iterative methods can decrease the number of iterations and the computing time that is applied for geometrically nonlinear analysis of space trusses. This can be related to the iterative methods that converge more rapidly than the Newton–Raphson method.