Topological Optimization of Isotropic Structures

Topological Optimization of Isotropic Structures provides a brief history of the development of the topology optimization method as well as a discussion of the numerical challenges associated with it. This discussion includes some numerical experiments and an evaluation of the various techniques used to overcome these challenges. The most common optimization problem that is compliance-minimization problem with volume constrained compliance minimization is presented. Finite element analysis part for quadrilateral 4-node and 8-node element with formulations of mathematical approach for self weight problem using MATLAB coding has also been studied. The result obtains from ANSYS and MATLAB based OC approach for static and self weight loading condition are compared with different other methods such as SA-SIMP approach, adaptive refinement approach, bi-directional evolutionary structure optimization (BESO) for mathematical justification of approaches used.