On extending the range of Michell-like optimal topology structures

Structural topological optimization continues to have a rich development with widespread application of computer-based search techniques. However, there is only a limited range of known theoretically absolute optimum ( minimum-weight) or Michell structures unconstrained by geometric constraints with which to compare. Such solutions are of interest in the development of numerically generated optimal structures. In this paper it is proposed that some potential new forms of optimal plane trusses can be constructed from existing, known forms developed much earlier. The cases of practical interest range from a single offset point load to some cases with more than one load, applied at the same level as the reactions. The emphasis is on conceptual extensions rather than on mathematical proofs.