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일반화 전달강성계수법을 이용한 트러스 구조물의 구조해석
최명수(Myung Soo CHOI),Yasuhiro Bonkobara(盆子原康博),Takahiro Kondou(近蕂,孝廣) 전남대학교 수산과학연구소 2010 수산과학연구소논문집 Vol.18 No.2
In structural analysis, the finite element method (FEM) is most widely used and powerful analytical algorithm. But the FEM requires much computational cost to solve the structural analysis problem of an analytical model with many degrees of freedom. For overcoming the drawback of the FEM, authors suggested the transfer stiffness coefficient method (TSCM) based on the transfer of the stiffness coefficient for an analytical model. However the TSCM was not suitable for analyzing truss structures of various shapes. In this study, the generalized transfer stiffness coefficient method (GTSCM) combining the graph theory and TSCM is applied to the structural analysis of a truss structure. The validity of the GTSCM in structural analysis of a truss structure is confirmed through the comparison of computational results obtained by the GTSCM and the FEM.
최명수,Takahiro Kondou,Yasuhiro Bonkobara 대한기계학회 2012 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.26 No.1
A new free vibration analysis method, which is called the Sylvester-transfer stiffness coefficient method (S-TSCM), is developed by combining Sylvester’s inertia theorem and the transfer stiffness coefficient method. In this paper, the free vibration analysis algorithm of a straight-line beam structure is formulated by S-TSCM. From the computation results of the free vibration analysis for the three types of beam structures, we confirm that S-TSCM is a very effective method. In particular, S-TSCM is superior to both the transfer stiffness coefficient method and the transfer matrix method in terms of computational accuracy and time. In the free vibration analysis for the beam structure with a large number of degrees-of-freedom, S-TSCM is superior to the finite element method in terms of computational time and storage.
Myung-Soo Choi,Takahiro Kondou,Yasuhiro Bonkobara,Kyong-Uk Yang 대한기계학회 2016 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.30 No.3
We developed a method for analyzing the free vibration of a structure regarded as a distributed system, by combining the WittrickWilliams algorithm and the transfer dynamic stiffness coefficient method. A computational algorithm was formulated for analyzing the free vibration of a straight-line beam regarded as a distributed system, to explain the concept of the developed method. To verify the effectiveness of the developed method, the natural frequencies of straight-line beams were computed using the finite element method, transfer matrix method, transfer dynamic stiffness coefficient method, the exact solution, and the developed method. By comparing the computational results of the developed method with those of the other methods, we confirmed that the developed method exhibited superior performance over the other methods in terms of computational accuracy, cost and user convenience.