Abstract
In this paper, optimization technique of mechanical structures is explained focusing on topology optimization. Since holes can be generated inside objects, the flexibility of topology optimization is higher than that of size optimization and shape optimization. The feature and formulation of topology optimization are described. In topology optimization, the problem which should be solved is transformed from the moving boundary line problem to the material density distribution problem in the extended fixed design domain. The characteristic function corresponding to existence of material is introduced. In order to avoid the discontinuity of the characteristic function and to obtain sensitivity, relaxation of design variables is performed. As the practical example, the block configuration optimization of XY-stage plate model composed of four types of ceramics block is conducted. As a result, the optimal block configurations are obtained in a realistic time scale for each volume constraint ratio.
