Integrated Reliability-Based Optimal Design of Structures
In conventional optimal design of structural systems the weight or the initial cost of the structure is usually used as objective function. Further, the constraints require that the stresses and/or strains at some critical points have to be less than some given values. Finally, all variables and parameters are assumed to be deterministic quantities. In this paper a probabilistic formulation is used. Some of the quantities specifying the load and the strength of the structure are modelled as random variables, and the constraints specify that the reliability of the structure has to exceed some given value. The reliability can be measured from an element and/or a systems point of view. A number of methods to solve reliability-based optimization problems has been suggested, see e.g. Frangopol , Murotsu et al. , Thoft-Christensen & Sørensen  and Sørensen .
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- Frangopol, D. M.: Sensitivity of Reliability-Based Optimum Design. ASCE, Journal of Structural Engineering, Vol. 111, No. 8, 1985.Google Scholar
- Thoft-Christensen, P. & J. D. Sorensen: Reliability Analysis of Tubular Joints in Offshore Structures. To appear in Reliability Engineering, 1987.Google Scholar
- Sorensen, J. D.: Reliability-Based Optimization of Structural Elements. Structural Reliability Theory, Paper no. 18, The University of Aalborg, 1986.Google Scholar
- Jubb, J. E. M.: Strategies for Assessing Design and Inspection Requirements for Redundant Structures. In Proc. Int. Symp., Nov. 1983, Washington (Faulkner et al. (eds.)): The Role of Design, Inspection and Redundancy in Marine Structural Reliability ), 1984, pp. 118–137.Google Scholar
- Dunn, F. P.: Offshore Platform Inspection. In Proc. Int. Symp., Nov. 1983, Washington (Faulkner et al. (eds.)): The Role of Design, Inspection and Redundancy in Marine Structural Reliability ), 1984, pp. 199–219.Google Scholar
- Thoft-Christensen, P. & J. D. Sørensen: Optimal Strategy for Inspection and Repair of Structural Systems. Civil Engineering Systems, 1987.Google Scholar
- Madsen, H. O., S. Krenk and N. C. Lind: Methods of Structural Safety. Prentice-Hall, 1986.Google Scholar
- Schittkowski, K.: NLPQL: A FORTRAN Subroutine Solving Constrained Non-Linear Programming Problems. Annals of Operations Research, 1986.Google Scholar
- Powell, M. J. D.: A Fast Algorithm for Non-Linearly Constrained Optimization Calculations. In Numerical Analysis (ed. G. A. Watson): Lecture Notes in Mathematics, Vol. 630, Springer-Verlag, 1978.Google Scholar
- Wilson, R. B.:A Simplicial Algorithm for Concave Programming. Ph.D. thesis, Harvard University, Boston, 1963.Google Scholar
- [15).Karadeniz, H., S. van Manen & A. Vrouwenvelder: Probabilistic Reliability Analysis for the Fatigue Limit State of Off-Shore Structures. Bulletin Technique du Bureau Veritas, July 1984, pp. 203–219.Google Scholar
- Thoft-Christensen, P.: Structural Reliability Theory. Proc. ESRA Pre-Launching Meeting, Ispra, Italy, 1985, pp. 82–99.Google Scholar
- Almar-Næes, A. (ed.): Fatigue Handbook, Tapir, Trondheim, 1985.Google Scholar