关键词:
Finite element method
摘要:
Biomimetic technology (biomimetics) has recently attracted a great deal of attention in engineering field. Also, in architecture field, as represented by shell structure, biomimetics has been used for a long time. In recent years, the buildings which floors are supported by the structure such as trees or seaweeds have been built (Tod's Omotesando Building, Sendai Mediatheque). On the other hand, it is conceivable that the topology optimization can be used for biomimetics in architecture field, because it has been observed that the shape obtained by the topology optimization is relatively close to the natural form. Therefore, in this paper, several numerical examples of computational morphogenesis of building structures using IESO (Improved Evolutionary Structural Optimization) method3) are shown in order to verify the application possibility of the proposed method to the biomimetics. In IESO method, the design domain is divided in same eight-node brick elements (voxels), and in the optimization process, for solid element, it will be removed if the sensitivity number10) is less than the threshold value. This threshold value is obtained from the equation proposed in extended ESO12,13). This equation consists of the mean value of sensitivity number and the average deviation of sensitivity number with a control parameter. In the proposed method, the evolutionary volume ratio (reduction ratio) is given as an input data, and this control parameter is determined automatically in the program so as to satisfy the given reduction ratio approximately. Furthermore, in this paper, finishing algorithm is added to IESO. In this algorithm, first, the converged solution obtained by IESO is input, and then, the elements about 5% of the total elements of design domain are added according to the rule of CA method. Specifically, in order from the element which the sensitivity number is the greatest, the elements of the von Neumann neighborhood are added, and if the number of additional