In the last sixty years‎,‎ the Dynamic Relaxation methods have evolved significantly‎.‎ These
explicit and iterative procedures are frequently used to solve the linear or nonlinear …

This paper deals with a new explicit framework for numerical dynamic analysis that could be
applied to any explicit-implicit time integration, ie predictor-corrector time integrations. For …

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 …

In the present paper, two different numerical methods, generalized differential quadrature
(GDQ) and dynamic relaxation method (DR) are employed to analyze elastic-plastic plates …

This paper prepares new features for applying the Dynamic Relaxation (DR) method in
buckling and post-buckling structural analyses. Here, controlling the displacement's …

In this paper the nonlinear bending of laminated stiffened annular sector plates under
mechanical loading with various boundary conditions is investigated. The plates are made …

The numerical structural analysis schemes are extensively developed by progress of
modern computer processing power. One of these approximate approaches is called" …

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 …

A formulation of the nonlinear FEM truss element that takes into account both the geometric
nonlinearity and material nonlinearity of the structure is derived. The associated iterative …

In the common DR technique, a jump occurs after the appearance of the snap-through or
snap-back points. As a result, this approach cannot trace the equilibrium path. To cure this …