Abstract:Based on ‘‘investment - benefit’’ rule, optimization mathematical model of SRC frame structure is established. Optimization objectives include the initial cost minimization and the structural failure loss minimization, and the weighed coefficient is used to adjust the importance of the both. In order to obtain the structural loss expectation, firstly, the failure probability of structures is calculated. In order to obtain more close to the actual failure probability, fuzzy reliability analysis of SRC frame structure is performed. The main contents of fuzzy reliability analysis include: determining the seismic performance level quantification value of SRC frame structure; establishing structural fuzzy function; Monte Carlo method is proposed considering the fuzziness. Adjusts SRC frame structure optimization process to a two level iteration process, in which, the outer layer for optimization design, the inner layer for the structural reliability analysis. Considering that design variables and constraint conditions is too much and the nonlinear degree of constraint conditions and objective function is higher, phase-in optimization calculation method for SRC frame structure is put forward. Finally, the optimization design of a one-bay-three-story SRC frame is implemented, optimization results show that the optimization method proposed in the paper can obtain ideal and reliable design results.
[1] Ang A H S, Lee J C. Cost optimal design of R/C buildings[J]. Reliability Engineering and System Safety, 2001, 73:233-238.
[2] 李刚, 程耿东. 基于性能的结构抗震设计—理论、方法与应用[M]. 北京:科学出版社, 2004.
[3] 邓国专. 型钢高强高性能混凝土结构力学性能及抗震设计的研究[D]. 西安: 西安建筑科技大学, 2008.
[4] 高小旺,刘佳,高炜. 不同重要性建筑抗震设防标准的讨论[C]. 北京:城市与工程减灾基础研究论文集[A].北京:中国科技出版社, 1997.
[5] 王光远. 抗震结构的最优设防烈度与可靠度[M]. 北京: 科学出版社, 1999.
[6] Chan C M, Zou X K. Elastic and inelastic drift performance optimization for reinforced concrete buildings under earthquake loads [J]. Earthquake Eng. Struct. Dyn., 2004, 33:929-950.
[7] GB50068-2001,建筑结构可靠度设计统一标准[S].
[8] JGJ138-2001,型钢混凝土组合技术规程[S].
[9] GB50011-2010,建筑抗震设计规范[S].
[10] GB50010-2010,混凝土结构设计规范[S].
[11] 陶清林,郑山锁,胡义,等. 型钢混凝土柱多目标优化设计方法研究[J]. 工业建筑, 2010, 11(40):126-130.
TAO Qing-lin, ZHENG Shan-suo, HU Yi, et al. Study on multi-objective optimization design method for SRC columns [J]. Industrial Construction, 2010, 11(40):126-130.
[12] Ringertz U T. On methods for discrete structural optimization [J]. Eng. Opt., 1988,13(1):47-64.
[13] Royset J O, Kiureghian A D,Polak E. Reliability-based optimal design of series structural systems[J]. Journal of Engineering Mechanics, 2001,127(6):607-614.