準Newton法を用いたシェイクダウン解析のアルゴリズムに関する研究

抄録

When an elasto-plastic body is subjected to repeated excitations or moving loads, its safety can be simply but directly evaluated by means of shakedown analysis. The advantage of shakedown analysis in comparison with ordinary elasto-plastic finite element analysis is its time and cost effectiveness. In this paper, a new algorithm of shakedown analysis based on Quasi-Newton method is investigated. With this newly proposed algorithm, a size of linear equations can be reduced to be as same as monotonic loading cases. In addition to this, modification of feasible directions in the iterative calculations is proposed to improve the convergence of numerical calculations. Two numerical examples are presented to illustrate the validity of the proposed algorithm.