Browse > Article

Development of DCOC Algorithm Considering the Variation of Effective Depth in the Optimum Design of PRC Continuous Beam  

조홍동 (충북대학교 토목공학과 공학박사)
한상훈 (충북대학교 토목공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.15, no.2, 2002 , pp. 281-291 More about this Journal
Abstract
This paper describes the minimum cost design of prestressed reinforced concrete (PRC) hem with rectangular section. The cost of construction as objective function which includes the costs of concrete, prestressing steel, non prestressing steel, and formwork is minimized. The design constraints include limits on the minimum deflection, flexural and shear strengths, in addition to ductility requirements, and upper-Lower bounds on design variables as stipulated by the specification. The optimization is carried out using the methods based on discretized continuum-type optimality criteria(DCOC). Based on Kuhn-Tucker necessary conditions, the optimality criteria are explicitly derived in terms of the design variables - effective depth, eccentricity of prestressing steel and non prestressing steel ratio. The prestressing profile is prescribed by parabolic functions. In this paper the effective depth is considered to be freely-varying and one uniform for the entire multispan beam respectively. Also the maximum eccentricity of prestressing force is considered in every span. In order to show the applicability and efficiency of the derived algorithm, several numerical examples of PRC continuous beams are solved.
Keywords
Discretized continuum-type optimality criteria(DCOC); Kuhn-Tucker necessary condition; design constraints; real system;
Citations & Related Records
연도 인용수 순위
  • Reference
1 조홍동, 한상훈, 'DCOC를 이용한 철근 콘크리트보의 최소경비설계', 한국전산구조공학회논문집, Vol. 13, No. 4, 2000, pp. 417-425
2 Zhou, M., and Rozvany, G. I. N., 'DCOC : An Optimality Criteria Method for Large Systems Part Ⅰ: Theory', Structural Optimization, Vol. 5, 1992, pp.12-25   DOI
3 조홍동, 'DCOC를 이용한 PRC구조물의 최적설계', 박사학위논문, 충북대학교 2000, pp. 1-155
4 Zhou, M., and Rozvany, G. I. N., 'An Improved Approximation Technique for the DCOC Method of Sizing Optimization', Computers & Structures, Vol. 60, No. 5, 1996, pp.763-769   DOI   ScienceOn
5 한상훈, 조홍동, 이상근., '이산성 연속형 최적성 기준을 이용한 PPC 구조의 최적설계프로그램 개발', 한국전산구조공학회논문집, Vol. 10, No. 4, 1997, pp. 315-325
6 Han, S. H., Adamu, A., and Karihaloo, B, L., 'Minimum Cost Design of Multispan Partially Prestressed Concrete T-Beams Using DCOC', Structural Optimization, Vol. 12, 1996, pp.75-86   DOI   ScienceOn
7 Zhou, M., and Rozvany, G. I. N., 'DCOC : An Optimality Criteria Method for Large Systems Part Ⅱ: Algorithm', Structural Optimization, Vol. 6, 1993, pp.250-262   DOI   ScienceOn