. The way that these features are determined is very important for tracing of the structural equilibrium path. In the second part of article, robustness and efficiency of the solution schemes will be comprehensively evaluated by performing numerical...

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 drawback, a load factor is employed. In this paper, a new procedure...

The capability of nonlinear analysis methods in tracing the equilibrium path depends on how to return to static status. In this paper, some residual factors existed in the iteration steps are employed. By setting the

residual load parameter...

This study is devoted to tracing the equilibrium path of structures with severe nonlinear

behavior. A new displacement increment is suggested to do the analysis. Moreover, the

increment of the load factor is obtained by minimizing...

The load-bearing capacity of structures can be influenced by variations in parameters, such as initial geometric defects, multi-parameter loadings, material specifications and temperature. This paper aims to

introduce ...

Geometric non-linear analyses are performed utilising two main control factors, including load and displacement parameters. In this paper, a new incremental-iterative scheme without predictor step is suggested. Using the ...

points. All of these valuable features are demonstrated by the equilibrium path, and most of the DR procedures cannot completely trace it. To overcome this weakness, a new variable load factor is presented by minimizing the unbalanced displacement...

Four systematic approaches are developed in the context of the indirect methods for

analyzing the nonlinear prebuckling behavior. In this study, an appropriate test function

to monitor bypassing of the critical ...

This paper investigates the analytical solution to eight individual trusses. They are

two- and three-dimensional structures. In addition, explicit expressions for the tangent

stiffness matrix, critical loads, ...