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多制約條件을 考慮한 P.C. 뼈대 構造物의 最適設計에 關한 硏究
李奎遠,李在永,盧旻來 전북대학교 공업기술연구소 1988 工學硏究 Vol.19 No.-
This study is on the optimum design of P.C. framed structures. A generalized for mulation for the optimum design of the P.C. framed structures under the combined beams and columns multi-constraints is presented as a SUMT programming problem using elastic analysis. The optimization of P.C. framed structures with multi-constraints is achieved by transforming the nonlinear programming problem with multi-constraints into SUMT, and solving SUMT utilizing the modified Newton-Raphson method. The objective functions are formulated as the cost function including the costs of steel, concrete and formworks for the minimum construction cost. The constraint equation are derived through considering of stress constraints, depth of neutral axis, sectional sizes, minimum steel ratio, and deflection constraints. The design problem is the allocation of member sizes from a catalog of commercially available sections in such a way as to minimized the prestressing force and the cost of a structure within the working stress constraints and deflection constraints. The algorithm adopted in this study is numerically tested for P.C. framed structures and compared with the result of the other algorithm to examine its applicability and stability. And, this optimization algorithm is introduced so that it can achieve as structural optimization carrying out simultaniously the analysis and the design of structure. 2bays-2stories of P.C. framed structure is selected as the structural model in order to examine the justification of this algorithm, and this algorithm is executed for the optimization of these selected structures and is investigated its applicability, convergency and tendency of optimization.
李奎遠,李在永,盧旻來 전북대학교 공업기술연구소 1988 工學硏究 Vol.19 No.-
This is study on the optimum design of the box girder bridge using SUMT Method. The results of this study have been obtained by SUMT using Modified Newton-Raphson Method. SUMT using the Modified Newton-Raphson Method is considered as one of the most efficient and widely used optimization techniques in the structural optimization. The objective function is formulated as the total area of the structures. This study is devoted to the selection of the size of the cross section so that the area for the box girder bridge may be optimized. A computer programming is developed for the implementation of the above formulation. The summary of the results of this study is as follows. 1. It was to certify that the optimum algorithm of SUMT using the Modified Newton-Raphson Method had been reached to the optimum solution without oscillation to any box girder bridge. 2. The optimum solution of the algorithm which had applied to several box girder bridges in this study converged very rapidly within one iteration in most cases. 3. The applied algorithm will have a wide range of application to the box girder bridges because of the stable and efficient convergence.
李奎遠 전북대학교 공업기술연구소 1983 工學硏究 Vol.14 No.-
Formulation of the geometric optimization for truss structures based on the elasticity theory turn out to be the nonlinear programming problem which has to deal with the cross sectional area of the member and the coordinates of its nodes simultaneously. A few techniques have been proposed and adopted for the analysis of this nonlinear programming problem for the time being. These techniques, however, bear some limitations on truss shapes, loading conditions and design criteria for the practical aplication to real structures. A generalized algorithm for the geometric optimization of the truss structures, which can eliminate the above mentioned limitations, is developed in this study. The algorithm developed utilized the two-phases technique. In the first phase, the cross sectional area of the truss member is optimized by transforming the nonlinear problem into SUMT, and solving SUMT utilizing the modified Newton-Raphson method. In the second phase, the geometric shape is optimized utilizing the unidurctional search technique of the Rosenbrock method which make it possile to minimize only the objective function. The algorithm developed in this study in numerically tested for several truss structures with various shaped, loading conditions and design criteria, and compared with the results of the other algorithms to examme its applicability and stability. The numerical comparisons show that the two-phases algorithm developed in this study is safely applicable to any design criteria, and the convergency rate is very fast and stable compared with other iteration methods for the geometric optimization of truss structures.
李奎遠 전북대학교 공업기술연구소 1977 工學硏究 Vol.7 No.-
This study is concerned with the elastic design of rigid frames for the minimum material consumption. This paper is devoted the selection of the member sizes so that the weight of structures with a fixed shape is optimized. The design process includes the satisfication of both stress and deflection requirements and the design constraints are formulated by using stiffness method. And also the objective function is obtained by considering total weight of the structures. In the design example, the numerical approach is employed to find the optimum values, and its results are dissussed.
分割技法에 의한 不靜定트러스 構造物의 最適設計에 關한 硏究
李奎遠,林正煥,房基成 전북대학교 공업기술연구소 1990 工學硏究 Vol.21 No.-
This study is concerned with optimum design of indeterminate truss structres by decompositive method. Decompositive optimization was selected to optimize the truss structures which take multi-loading conditions, allowable and buckling stress constraints into consideration. Tha algorithm of this study is made up of section optimization using feasible direction method. This optimization algorithm is introduced so that it can achive a structural optimization carring out simulatainously the analysis and the design of structures. So the ADS that is a fortran program for solution of nonlinear constrained optimization problems is applied to solve this problem There it can be concluded as follows: The optimization of truss structure which utiluzes the results of this study can be helpful to the economical design of truss structure.