A Generalization of Recursive Optimal Design Approach

We deal with a recursive optimal design approach, that is, and application of self-similarity to structural optimization. It is based on a recursive formulation of mechanical behavior of structural system. We have dealt with optimal designs of two dimensional truss structure so far; the initial structure to be optimized is prepared as an assemblage of a number of so-called primitive truss structures. In the present study, we discuss a generalization of this recursive structural optimization by developing a different type of primitive structural component. A triangular finite element based primitive component is newly developed. Example optimal designs based on the primitive components of both truss and finite element types are conducted and the obtained results are examined