Mechanical & Mechatronic Engineering
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DP Munro

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A direct approach to structural topology optimization​

http://scholar.sun.ac.za/handle/10019.1/101051​

Supervisor:

Prof A Groenwold​


Topology optimization is a mathematical method devised to calculate the optimal material distribution for a predefined design scenario. The `direct approach’ is developed in a conventional structural optimization framework, based on traditional sequential convex programming techniques. However, unlike conventional methods, the problem is solved in such a way that equilibrium is only satisfied at convergence of the optimization procedure. This decoupling permits displacements and stresses in regions of void material to take on arbitrary values, thereby circumventing the infamous stress singularity problem. The computational burden associated with the sensitivity analysis of local state-based constraints reduces to manipulating simple partial derivatives.​