Accelerated gradient method for geometrically nonlinear analysis of framed structures

Abstract

A new method of geometrically nonlinear analysis of large-scale framed structures are proposed in this paper by using accelerated-gradient-method (AGM). AGM has attracted attention in recent years as an effective method for large-scale unconstrained single-objective optimization problem especially in the field of machine learning. A geometrically nonlinear analysis can be formulated as a total potential energy minimization problem. In this study, AGM is adopted for solving the total potential energy minimization problem efficiently in order to solve a geometrically nonlinear analysis at higher speed.