Integrated object layout and supporting structure topology optimization method based on MMC

Abstract

Structural topology optimization involving two or more material phases is quite common in engineering design and it is much more sophisticated than single material topology optimization. Yet, research on this subject is relatively unclear and insufficient. Therefore, as one case of two material topology optimization, an integrated optimization method considering both the layout of embedded objects and topology of supporting structure was developed under MMC (moving morphable component) framework. The MMLS (multi-material level set) method was applied to distinguish between embedded objects and supporting structure. For the non-overlapping constraints between embedded objects, the FCM (finite circle method) was used, which favors the gradient-based algorithms in optimization process. Examples of short cantilever beam were given to demonstrate the effectiveness of the proposed integrated layout and topology optimization method. Upon applying the MMC framework, less design variables are needed and the optimal result has clear boundaries when compared with density based method. Some detailed discussions on the quality of optimal result were made at last.