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구조 해석을 위한 유한 요소 분할 및 합성법에 대한 연구
은희창(Eun Hee-Chang),양근혁(Yang Keun-Heok),정헌수(Chung Heon-Soo) 대한건축학회 2003 大韓建築學會論文集 : 構造系 Vol.19 No.9
This paper presents an explicit equilibrium equation related to a finite element tearing and interconnection method for structural analysis. This method is based on a decomposition of the finite element model into substructures. Using the displacement compatibility at each interface between substructures and modifying the previous results provided by the authors this study determines the equilibrium equation of the global structure with floating substructures as substructures. The new method can explicitly determine the static displacements from the explicit form of equilibrium equation. But, it has a disadvantage not to be able to reduce the global number of degree of freedom due to the calculation of generalized inverse matrix. Also, several applications illustrated the validity and easiness of the proposed method.
은희창(Eun Hee-Chang),양근혁(Yang Keun-Heok),정헌수(Chung Heon-Soo) 대한건축학회 2003 大韓建築學會論文集 : 構造系 Vol.19 No.3
This paper determined the static equilibrium positions of linked bar structures. The static equilibrium positions are defined as the ones to minimize the variation of potential energy and can be obtained from the equation of motion at freezing time. Assuming each bar of the structure as a rigid body, the equation of motion for the structure must satisfy its rigid body condition. In order to combine both the equation of motion and the constraint equation, it is necessary to numerically calculate a weighting matrix to minimize the variation of potential energy and the generalized inverse method gives an explicit weighting matrix. Thus, with the modification of the generalized inverse method to explicitly describe the constrained motion, this paper presented a simple method to determine the equilibrium positions of linked bar structures, and the validity of the method was illustrated by two simple bar structures.