NONLINEAR STRUCTURAL ANALYSIS BY MINIMIZING TWO KINDS OF ENERGIES

One of the goals of the nonlinear structural analysis is to reduce the required time for obtaining the numerical solution. More important than this issue, the nonlinear scheme could converge to the answers for all types of problems. A perfect nonlinear solver must have both of these specifications. This article aims to reduce the duration of structural analysis as well as to boost convergent requirements. To reach these two objectives, the authors simultaneously minimize the kinetic and residual structural energies. The ability of the new formulation is shown by solving several structures, with nonlinear geometrical behavior.  Based on the compressive studies, numerical solutions show the high efficiency of the new method.

کلیدواژه ها:

Kinetic energy ، Residual energy ، Dynamic relaxation ، Equilibrium path ، Load factor ، Limit points