그래프이론과 전달강성계수법을 이용한 구조물의 최적설계

The genetic algorithm (GA) which is one of the popular optimum algorithm have been used to solve a variety of optimum problems. Because it need not require the gradient of objective function and is easier to find global solution than gradient-based optimum algorithm using the gradient of objective function. However it takes many computational time to solve the optimum structural design problem which has a great number of design variables, constraints, and system with many degrees of freedom. In order to overcome the drawback of the optimum structural design using the GA and the finite element method, the authors developed the new structural analysis algorithm using graph theory and the transfer stiffness coefficient method. Sizing, sizing-shape, sizing-topology, and sizing-shape-topology optimal design of a plane frame structure are carried out by the computational program which combines efficiently the developed structural analysis algorithm and the GA.