每年出版 6 期
ISSN 打印: 2152-5080
ISSN 在线: 2152-5099
Indexed in
OPTIMAL DESIGN UNDER UNCERTAINTY OF REINFORCED CONCRETE STRUCTURES USING SYSTEM RELIABILITY APPROACH
摘要
The design of reinforced concrete (RC) structures involves several kinds of uncertainties, which are usually considered through the partial safety factors prescribed in the codes of practice. The traditional design optimization of RC structures uses deterministic information of the problem. The partial safety factors are used to consider loading fluctuation and the variability of material properties. The use of these safety factors in deterministic optimization usually leads to over-designing structures, as these safety factors are calibrated for a large class of structures. In the deterministic optimization procedure the reliability cannot be controlled. For this reason, the Reliability-Based Design Optimization (RBDO) is devoted to design economical and reliable structures. However, the RBDO problem involves the evaluation of probabilistic constraints performed by the reliability analysis. The most common RBDO formulations are based on a nested optimization problem, with an outer loop for the design optimization and an inner loop for the reliability analysis. Therefore, an expensive computation effort is required to solve the RBDO problem. In this paper, a new RBDO method of RC structures is proposed. The RBDO problem is decomposed to several cycles of deterministic design optimization (DDO) based on new safety factors called Optimal System Safety Factors (OSSF). At each cycle of the DDO, the system reliability analysis is performed to verify the reliability of the optimal design, the OSSF are computed by a probabilistic method on the basis of the previous system reliability analysis, then the updated OSSF are provided for the next cycle of the DDO. The application to the design of an RC structure shows the interest and the efficiency of the proposed method.
-
EUROCODES-2, Design of Concrete Structures.
-
Mohamed, A., Soares, R., and Venturini, W., Partial safety factors for homogeneous reliability of nonlinear reinforced concrete column. DOI: 10.1016/S0167-4730(01)00009-1
-
Adeli, H., Advances in Design Optimization.
-
Lee, C. and Ahn, J., Flexural design of reinforced concrete frames by genetic algorithm. DOI: 10.1061/(ASCE)0733-9445(2003)129:6(762)
-
Moharrami, H. and Grierson, D., Computer-automated design of reinforced concrete frameworks. DOI: 10.1061/(ASCE)0733-9445(1993)119:7(2036)
-
Ditlevsen, O. and Madsen, H., Structural Reliability Method.
-
Frangopol, D. and Moses, F., Reliability-Based Structural Optimization.
-
Moses, F., Problems and prospects of reliability-based optimization. DOI: 10.1016/S0141-0296(97)83356-1
-
Hohenbichler, M. and Rackwitz, R., First-order concepts in system reliability. DOI: 10.1016/0167-4730(82)90024-8
-
Feng, Y. and Moses, F., A method of structural optimization based on structural system reliability. DOI: 10.1080/03601218608907527
-
Enevoldsen, I. and Sorensen, J., Reliability-based optimization in structural engineering. DOI: 10.1016/0167-4730(94)90039-6
-
Lin, K. and Frangopol, D., Reliability-based optimum design of reinforced concrete girders. DOI: 10.1016/0167-4730(96)00013-6
-
Aoues, Y. and Chateauneuf, A., Reliability-based optimization of structural systems by adaptive target safety - application to reinforced concrete frames. DOI: 10.1016/j.strusafe.2006.10.002
-
Du, X. and Chen, W., Sequential optimization and reliability assessment method for efficient probabilistic design. DOI: 10.1115/1.1649968
-
Sarma, K. and Adeli, H., Cost optimization of concrete structures. DOI: 10.1061/(ASCE)0733-9445(1998)124:5(570)
-
Ditlevsen, O., Narrow reliability bounds for structural systems. DOI: 10.1080/03601217908905329
-
Ambartzumian, R., Kiureghian, A. D., Ohaniana, V., and Sukiasiana, H., Multinormal probability by sequential conditioned importance sampling: theory and application. DOI: 10.1016/S0266-8920(98)00003-4
-
Envoldsen, I. and Sorensen, J., Reliability based optimization of series systems of parallel systems. DOI: 10.1061/(ASCE)0733-9445(1993)119:4(1069)
-
Tu, J. and Choi, K., A new study on reliability-based design optimization. DOI: 10.1115/1.2829499
-
Schittkowski, K., Zillober, C., and Zotemantel, R., Numerical comparison of nonlinear programming algorithms for structural optimization. DOI: 10.1007/BF01742498
-
Hawchar Lara, El Soueidy Charbel-Pierre, Schoefs Franck, Global kriging surrogate modeling for general time-variant reliability-based design optimization problems, Structural and Multidisciplinary Optimization, 58, 3, 2018. Crossref
-
Du Xiaosong, Leifsson Leifur, Optimum aerodynamic shape design under uncertainty by utility theory and metamodeling, Aerospace Science and Technology, 95, 2019. Crossref
-
Shi Benke, Deng Zhongmin, An efficient reliability method for composite laminates with high-dimensional uncertainty variables, Acta Mechanica, 232, 9, 2021. Crossref