Optimization — the basis of code-making and reliability verification

NKB: Guidelines for loading and safety regulations for structural design, Rep. 55E, 1987.

JCSS: First order concepts for design codes, CEB Bull., 112, 1976.

CIRIA: Rationalisation of safety and serviceability factors in structural codes, construction industry research and information association, Rep. 63, 1977.

Ellingwood B, Galambos TV, MacGregor JG, Cornell CA. Development of a probability-based load criterion for American National Standard A58. National Bureau of Standards Special Publication No. 577, Washington DC, 1980.

DIN: Grundlagen zur Festlegung von Sicherheitsanforderungen für bauliche Anlagen, (General Principles on the Specification of Safety Requirements for Structures) Berlin, Beuth-Verlag, 1981.

EUROCODE 1: ENV 1991-1. Basis of design and actions on structures, 1993.

Rosenblueth, 1971, Reliability optimization in isostatic structures, J. Eng. Mech. Div., ASCE, 97, 1625, 10.1061/JMCEA3.0001521

Hasofer, 1974, Design for infrequent overloads, Earthquake Eng. and Struct. Dynamics, 2, 387, 10.1002/eqe.4290020408

Rosenblueth, 1976, Optimum design for infrequent disturbances, J. Struct. Div., ASCE, 102, 1807, 10.1061/JSDEAG.0004431

Rosenblueth E, Esteva L. Reliability basis for some Mexican codes. ACI Spec. Publ., SP-31, Detroit, pp. 1–41, 1972.

Cox DR. Renewal theory. Methuen, 1962.

Schall, 1991, The ergodicity assumption for sea states in the reliability assessment of offshore structures, J. Offshore Mech. and Arctic Eng., ASME, 113, 241, 10.1115/1.2919926

Cramer, 1967

Cox, 1980

Schrupp K, Rackwitz R. Outcrossing rates of Gaussian Vector Processes for cut sets of componential failure domains. In: Konishi I, et al., editors. Proc. ICOSSAR'85, Kobe, IASSAR, 1985. pp. 601–609.

Ditlevsen O, Madsen HO. Probabilistic modelling of man-made load processes and their individual and combined effects, structural safety and reliability. Proc. 4th ICOSSAR, Trondheim, Elsevier, Amsterdam, 1981. pp. 103–134.

Rackwitz R, Faber MH. Reliability of parallel wire cable under fatigue, Proc. ICASP6, 6th Int. Conf. on Applications of Statistics and Probability in Civil Engineering, Mexico 1991. Vol. 1, pp. 166–175.

Breitung, 1982, Nonlinear combination of load processes, Journ. Struct. Mech., 10, 145, 10.1080/03601218208907407

Hohenbichler, 1981, Non-normal dependent vectors in structural safety, J. Eng. Mech. Div., ASCE, 107, 1227, 10.1061/JMCEA3.0002777

Breitung, 1993, Asymptotic approximations for the crossing rates of poisson square waves, Proc. Extreme Value Theory and Applications, NIST Spec. Publ. 866, 3, 75

Veneziano, 1977, Vector-process models for system reliability, J. of Eng. Mech. Div., ASCE, 103, 441, 10.1061/JMCEA3.0002239

Breitung, 1988, Asymptotic approximations for the outcrossing rates of stationary vector processes, Stochastic Processes and their Applications, 29, 195, 10.1016/0304-4149(88)90037-3

Rackwitz, 1998, Computational techniques in stationary and non-stationary load combination — a review and some extensions, J. Struct. Eng., 25, 1

De Hoog, 1982, An improved method for numerical inversion of laplace transforms, SIAM J. Sci. Stat. Comput., 3, 357, 10.1137/0903022

Garbow, 1988, Algorithm 662 — a FORTRAN software package for the numerical inversion of the laplace transform based on Week's method, ACM Transactions on Mathematical Software, 14, 171, 10.1145/45054.214375

Murli, 1990, Algorithm 682 — Talbot's Method for the Laplace inversion problem, ACM Transactions on Mathematical Software, 16, 158, 10.1145/78928.78932

Rackwitz R. A concept for deriving partial safety factors for time-variant reliability, In: Guedes Soars C, editor. Proc. ESREL' 97, Advances in Safety and Reliability, Pergamon, 1997. pp. 1295–1305.

Kuschel, 1998, Structural optimization under time-variant reliability constraints, 27

Friis Hansen, 1992, A comparison of some algorithms for reliability-based structural optimization and sensitivity analysis, 443

Kuschel, 1997, Two basic problems in reliability-based structural optimization, Mathematical Methods of Operations Research, 46, 309, 10.1007/BF01194859

Schittkowski K. User's guide for nonlinear programming, handbook to optimization program package NLPQL, Universität Stuttgart, Institut für Informatik, 1985.

Hasofer AM, Rackwitz R. Time-dependent models for code optimization, to be presented at ICASP 99, Sidney, 1999.

Bleistein, 1975

Rackwitz R, Balji Rao K. Numerical computation of mean failure times for locally non-stationary failure models, to be presented at ICASP 99, Sidney, 1999.

Lind, 1977, Formulation of probabilistic design, J. of Eng. Mech. Div., ASCE, 103, 273, 10.1061/JMCEA3.0002223

Rubinstein, 1981