Iterative COC Methods

Abstract

In Part I of this lecture, the iterative COC algorithm is described in detail and then it is illustrated with beam and plate (plane stress) examples for a variety of design constraints. For trusses with stress constraints and a deflection constraint an independent derivation of the optimality criteria is presented and then the method is illustrated by an example involving a ten-bar truss. A detailed comparison with the DOC approach is given and some advantages of the COC approach are pointed out. Finally, extensions to multiple deflection constraints and multiple loading conditions are discussed.

In Part II, COG-type optimality conditions are derived directly for discretized (FE) structures in the usual matrix notation for such systems. The relative advantages and disadvantages of this approach, termed DCOC, are discussed and then it is illustrated by examples involving beams, frames and trusses.

In the five lectures given by Rozvany and Zhou, the section numbers, equation numbers, figure numbers and reference numbers are used continuously. All references are listed at the end of the first paper.