Structural topology and shape optimization using the finite element method
Arjona Baez, Javier
Akin, John Edward.
Doctor of Philosophy
The goal of structural optimization is to find the best possible configuration for a given structure, which meets the objective function and set of constraints. In this work we presented a method based on the evolutionary structural optimization method (ESO) in which we improved the quality of the solution by avoiding the chain-like sets of elements which are sources of potential kinematic instabilities, and by refining the revised mesh so as to obtain accurate solutions as the volume removal proceeds. Solution error estimates are also developed to provide insight to the validity of the revised models. Then we applied our algorithms to several examples from the literature as well as to new axisymmetric problems.