Abstract
Over the past few decades, a considerable number of studies that generate an optimal structure under a loading and boundary condition have been made and Evolutionary Structural Optimization (ESO) method is one of the most effective techniques. The mathematical model is based on the remodeling (self-organization) of biological systems such as a bone and a tree. There have been some weak points where a reasonable solution cannot necessarily be concluded in it.
A new method (R-ESO method) that consists of three optimization processes, that is, the removal process, addition process and growth process is proposed and some simple numerical examples show the effectiveness of the method. Also, it is applied to optimizing the structures of concrete dams, and the obtained final solutions are similar to the shape of an existing concrete dam with satisfying the stable condition.
