Reliability-based optimization of structural systems by adaptive target safety – Application to RC frames

Reliability-based design optimization (RBDO) aims to find the best compromise between cost reduction and safety assurance. Traditionally, component optimization is defined by minimizing the structural cost under a prescribed reliability target for a single limit state. However, as structural failure is rarely devoted to only one component, the system approach becomes necessary to deal with realistic applications. In this paper, a methodology for system reliability-based design optimization (SRBDO) is proposed. Instead of specifying identical predefined component targets, the method is based on adaptive target reliabilities for structural components. An updating procedure is included in the optimization process to ensure the required system reliability. The proposed method aims to find the best compromise between satisfying the target system reliability and optimizing the component performance. The application to reinforced concrete structures shows the interest of the adaptive target reliabilities as well as the efficiency of the updating procedure.

[1]  K. Schittkowski,et al.  Numerical comparison of nonlinear programming algorithms for structural optimization , 1994 .

[2]  Hideomi Ohtsubo,et al.  Reliability-Based Structural Optimization , 1991 .

[3]  C. S. Krishnamoorthy,et al.  System Reliability-Based Configuration Optimization of Trusses , 2001 .

[4]  Fred Moses,et al.  A method of structural optimization based on structural system reliability , 1986 .

[5]  Dan M. Frangopol,et al.  Life-cycle reliability-based optimization of civil and aerospace structures , 2003 .

[6]  P. K. Das,et al.  A strategy for reliability-based optimization , 1997 .

[7]  Samer A. Barakat,et al.  Reliability-based optimization of laterally loaded piles , 1999 .

[8]  K. Schittkowski.  NLPQL: A fortran subroutine solving constrained nonlinear programming problems , 1986 .

[9]  John Dalsgaard Sørensen,et al.  Reliability-Based Optimization of Series Systems of Parallel Systems , 1993 .

[10]  A. Kiureghian,et al.  Optimization algorithms for structural reliability , 1991 .

[11]  E. Nikolaidis,et al.  Reliability based optimization: A safety index approach , 1988 .

[12]  Niels C. Lind,et al.  Methods of structural safety , 2006 .

[13]  Steen Krenk,et al.  Parametric Sensitivity in First Order Reliability Theory , 1989 .

[14]  O. Ditlevsen.  Narrow Reliability Bounds for Structural Systems , 1979 .

[15]  Alaa Mohamed,et al.  Partial safety factors for homogeneous reliability of nonlinear reinforced concrete columns , 2001 .

[16]  C. Cornell.  Bounds on the Reliability of Structural Systems , 1967 .

[17]  Gongkang Fu,et al.  A Sampling Distribution for System Reliability Assessment , 1987 .

[18]  Yoshisada Murotsu,et al.  An approach to reliability-based optimization of redundant structures , 1994 .

[19]  Dan M. Frangopol,et al.  Integrating system reliability and optimization in prestressed concrete design , 1997 .

[20]  Gerhart I. Schuëller,et al.  Reliability-Based Optimization of structural systems , 1997, Math. Methods Oper. Res..

[21]  C. Q. Li,et al.  Failure probability of reinforced concrete columns under stochastic loads , 1995 .

[22]  A. SriVidya,et al.  Reliability based optimal design of reinforced concrete frames , 1995 .

[23]  Hojjat Adeli,et al.  Advances in Design Optimization , 1994 .

[24]  John Dalsgaard Sørensen,et al.  Reliability-Based Optimization in Structural Engineering , 1994 .

[25]  Fred Moses.  Problems and prospects of reliability-based optimization , 1997 .

[26]  R. Rackwitz.  Reliability analysis—a review and some perspectives , 2001 .

[27]  Dan M. Frangopol,et al.  Incorporation of corrosion effects in reliability-based optimization of composite hybrid plate girders☆ , 1994 .

[28]  Dan M. Frangopol,et al.  Reliability‐Based Vector Optimization of Structural Systems , 1990 .

[29]  Y. K. Wen,et al.  Optimization of structures under stochastic loads , 1990 .