Manufacturing constraints applied to the topology optimization method. / Restrições de manufatura aplicadas ao método de otimização topológica.

AUTOR(ES)

Tiago Naviskas Lippi

DATA DE PUBLICAÇÃO

2008

RESUMO

The design of a mechanical component is a very complex task, which includes constraints such as maximum weight and maximum stiffness, and also manufacturing constraints, associated with the manufacturing processes required at the shop floor. It is known that Topology Optimization (TO), despite of being a very effective and powerful method to obtain optimal solutions, generates solutions with complex geometries that are too much expensive to be manufactured or just can not be made. The projection scheme has been chosen as the most appropriate technique for implementing the proposed constraints. This scheme solves the proposed problem in a domain of design variables and then projects these results into a pseudo-density domain to find the solution. The relation between both domains is defined by the projection function and variable mapping defined in a different way for each constraint. In this work, manufacturing constraints for TO are implemented in a way that the possible solutions of the optimization problem are restricted. As an example, the traditional stiffness maximization problem is considered. All implementations have been done using C programming language, and the optimization algorithm applied is the optimality criteria. The following manufacturing constraints have been implemented using the projection scheme: minimal member size, minimal hole size, symmetry, extrusion, revolution, pattern repetition, casting, forging and lamination. These constraints show the large capacity of the projection scheme to control the solution for the optimization without adding a large computational cost. The results that have been found show the great power of using manufacturing constraints in the TO, however, they are far from exhausting this topic that has been recently explored in the Topology Optimization Method (TOM).

ASSUNTO(S)

otimização matemática manufacturing constraints otimização estrutural topology optimization manufatura structural optimization mathematical optimization restrições de manufatura otimização topológica

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