Dynamic Relaxation (DR) method is an explicit iterative technique suitable for nonlinear
structural analysis. In this method, the static equilibrium equations are converted to a …

This paper consists of two parts, which broadly examines solution techniques abilities for the
structures with geometrical nonlinear behavior. In part I of the article, formulations of several …

The main objective of this study is to develop a dual approach for geometrically nonlinear
finite element analysis of plane truss structures. The geometric nonlinearity is considered …

The objective of this study is to explore a noble application of the improved homotopy
perturbation procedure bases in structural engineering by applying it to the geometrically …

Incremental–iterative methods are widely used for tracing the equilibrium paths of structures.
To determine the nonlinear structural response, an iteration process is required. In this …

Snap-through instability of shallow reticulated (lattice) domes subjected to a quasi-static
downward displacement or force at a joint is analyzed. For the case of unilateral …

In this research a new nonlinear method is developed based on Homotopy Perturbation
Method (HPM) and is applied to elasto-plastic analysis of steel plane frames. The Homotopy …

This study presents a fast algorithm for collapse behavior simulation of space truss
structures under extreme earthquake excitation by introducing the Woodbury formula to …

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 …

In this paper, the effectiveness of the modified Chebyshev and cubic spline׳ s iterative
methods is comparatively evaluated on geometrically non-linear analysis of truss structures …