Displacement-based Procedures in Dynamic Relaxation Method for Tracing the Static Path

In this paper, Dynamic Relaxation method is utilized for tracing the static path of nonlinear structures. First, DR formulation and its reaction in confronting with the snap-through and snap-back regions are studied. Then, two new procedures are proposed for calculating load factor. These schemes are formulated based on minimization of residual displacement and minimization of kinetic energy. The suggested formulations which are categorized in displacement-based methods are consistent with DR iterations. For numerical verification, some truss, frame and shell structures from nonlinear finite element are analyzed. Results show that the proposed techniques have a suitable efficiency for tracing the static path of nonlinear structures with Dynamic Relaxation method.