The state of the art in Dynamic Relaxation methods for structural mechanics Part 1: Formulations

In the last sixty years, the dynamic relaxation (DR) methods have evolved significantly. These explicit and iterative procedures are frequently used to solve the linear or nonlinear response of governing equations resulted from structural analyses. In the first part of this study, the common DR formulations are reviewed. Mathematical bases and also physical concepts of these solvers are explained briefly. All the DR parameters, i.e. fictitious mass, fictitious damping, fictitious time step and initial guess are described, as well. Furthermore, solutions of structural problems along with kinetic and viscous damping formulations are discussed. Analyses of the existing studies and suggestions for future research trends are presented. In the second part, the applications of dynamic relaxation method in engineering practices are reviewed.

کلیدواژه ها:

Dynamic Relaxation method ، Formulation ، Solver ، Review ، Iterative technique ، State of the art