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일반화 전달강성계수법을 이용한 트러스 구조물의 구조해석
최명수(M. S. Choi),문덕홍(D. H. Moon),Y. Bonkobara,T. Kondou,T. Ayabe 한국동력기계공학회 2005 한국동력기계공학회 학술대회 논문집 Vol.- No.-
In structural analysis of machine and structure, the finite element method (FEM) is most widely used and powerful analysis algorithm. But the FEM has much computational cost to solve the structural analysis problem of system with many degrees of freedom. For overcoming the drawback of the FEM, authors suggested the transfer stiffness coefficient method (TSCM) which was based on the transfer of the stiffness coefficient for analytical system. However the TSCM was not suitable to analyzing a variety of truss structures. In this paper, the structural analysis algorithm for truss structures is formulated by the generalized TSCM (GTSCM) which combines the graph theory and the TSCM. The validity of the GTSCM is confirmed through the comparision of computational results by the GTSCM and the FEM.
최명수(M. S. Choi),문덕홍(D. H. Moon),Y. Bonkobara,T. Kondou,T. Ayabe 한국동력기계공학회 2005 한국동력기계공학회 학술대회 논문집 Vol.- No.-
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.