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이병채,Lee, Byeong-Chae 대한기계학회 1997 大韓機械學會論文集A Vol.21 No.11
An enhanced subspace iteration algorithm has been developed to solve eigenvalue problems reliably and efficiently. Basic subspace iteration algorithm has been improved by eliminating recalculation of converged eigenvectors, using Krylov sequence as initial vectors and incorporating with shifting techniques. The number of iterations and computational time have been considerably reduced when compared with the original one, and reliability for catching copies of the multiple roots has been retained successfully. Further research would be required for mathematical justification of the present method.
이병채,이용주,구본웅 한국전산구조공학회 1992 전산구조공학 Vol.5 No.2
Static performance was compared for the triangular plate elements through some numerical experiments. Four Kirchhoff elements and six Mindlin elements were selected for the comparison. Numerical tests were executed for the problems of rectangular plates with regular and distorted meshes, rhombic plates, circular plates and cantilever plates. Among the Kirchhoff 9 DOF elements, the discrete Kirchhoff theory element was the best. Element distortion and the aspect ratio were shown to have negligible effects on the displacement behaviour. The Specht's element resulted in better results than the Bergan's but it was sensitive to the aspect ratio. The element based on the hybrid stress method also resulted in good results but it assumed to be less reliable. Among the linear Mindlin elements, the discrete shear triangle was the best in view of reliability, accuracy and convergence. Since the thin plate behaviour of it was as good as the DKT element, it can be used effectively in the finite element code regardless of the thickness. As a quadratic Mindlin element, the MITC7 element resulted in best results in almost all cases considered. The results were at least as good as those of doubly refined meshes of linear elements.
이단계 번호 부여 방법과 선단집합 이용방법을 결합한 밴드폭 감소 알고리즘 개발
이병채,구본웅 대한기계학회 1991 대한기계학회논문집 Vol.15 No.1
본 연구에서는 그래프 이론에 기초한 이단계 번호 부여 방법에 목표밴드폭을 도입하여 계산시간이 짧으면서도 효율적으로 번호를 부여할 수 있는 방법을 제안하고 자 한다. A new bandwidth reduction algorithm is developed by combining the two-step approach and the frontal ordering scheme. In the two-step approach, finite elements are numbered first, followed by nodal numbering based on the graph theory. The concept of wave front is incorporated into it to control the cardinality of the set of adjacent nodes and the bandwidth to be achieved. They are controlled systematically by rational selection of next candidates with the purpose of getting the smaller bandwidth efficiently. Eighteen meshes are renumbered and the results are compared with those of well-known algorithms. The results demonstrate the efficiency and the reliability of the proposed algorithm.
Optimal Feasible Tax Mechanism for a Heterogeneous Economy
이병채 한국계량경제학회 2012 계량경제학보 Vol.23 No.3
The main goal of this paper is to extend the model of optimal feasible tax mechanism developed in Rhee (2008) to a heterogeneous economy in which agents have different characteristics related to their income or wealth. We provide a full characterization of optimal feasible tax mechanism for such a heterogeneous economy and find that if the level of low endowment is relatively low, only the incentive compatibility constraint of a rich minority agent will be binding. We also present some interesting comparative statics analyses as to how the optimal mechanism will respond to a change in the primitives of the economy. These analyses explain how the incentive problem of a heterogeneous economy will be resolved efficiently under feasibility constraint.