Multi-material topology optimization considering joint stiffness and cost

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  • 接合部の剛性とコストを考慮する複数材料を対象としたトポロジー最適化

Abstract

<p>When designing the structure of an automobile body, weight reduction is much-needed to improve the performance regarding dynamics and fuel efficiency. As the way of designing a lightweight body ensured the stiffness, multi-material structural design is promoted. A structure with an appropriate use of different materials can achieve higher performance in comparison of single-material one. Therefore, it is important to develop the method to design an optimal structure using multiple materials which have various physical properties. On the other hand, multi-material structural design has problems about the manufacturability. One of the issues is how to estimate the influence of joint area. In manufacturing multi-material structure, different materials need joining by the means such as FSSW(Friction Stir Spot Welding). So far, the optimal design method estimating the influence of stiffness or cost by joint area are proposed. However, the method taking into account both joint stiffness and cost have not been proposed yet. In this paper, a method for designing an optimal structure considering both joint stiffness and cost based on multi-material topology optimization is proposed. Material distribution including joint area is represented by modifying MMLS(Multi-Material Level Set) using Helmholtz type equation and Heaviside projection. As a numerical example, this method is applied to cost-mass multi-objective optimization problem to show the validity of proposed method.</p>

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