동적거동을 가지는 슬래브의 위상최적해석을 고려한 개념설계 구현

The goal of this study is to present conceptual information of optimal design of slab structures often used for main building frames by using topology optimization method. Topology optimization method is well-known as an optimal material distribution tool to extract both optimal shape and topology, i.e. connectivity of members deposited by a given material quantity, which has been mainly evaluated in engineering fields such as mechanics, electronics, ship, and aero industries. This study targets design of mega structures like as structures for civil or building industries, not above-mentioned vitalized engineering fields. Design results of this study may have a limit of only producing basic conceptual information for practical design due to inexact design conditions and a lot assumptions. Therefore note that there are many supplementary and insufficient components for practice in this study, which have to be improved in the future. Topology optimization problem presented in this study is to determine the layout of material of specified volume in a domain that maximizes the first natural Eigenfrequency for dynamic responses under a given set of boundary conditions. Numerical applications showing appropriate optimal shapes of slabs with varied supports verifies the present topology optimization method is practically an alternative to produce a conceptual information of material distribution for practical designs of building frames.