Structural Reliability via Response Surface
Problems of nonlinear stochastic mechanics (both static and dynamic) are governed by equations whose solution must generally be pursued in a numerical way. Stochasticity may lie in the nature of the excitation and/or in the nature of distributed system properties. The absence of analytical expressions and the presence of stochastic processes and random fields prevent one from using classical reliability methods. A general — purpose approach for assessing the reliability of a nonlinear mechanical system under stochastic conditions is presented in this paper. It combines the skeleton of classical reliability methods with the adoption of a response surface scheme.
KeywordsResponse Surface Finite Element Code Structural Reliability Nonlinear Stochastic System Classical Reliability
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- Madsen H.O., Krenk S., Lind N.C., Methods of Structural Safety, Prentice Hall Ellingwod Cliffs, NS, 1986Google Scholar
- Liu P-L., Lin H-Z. and Der Kiureghian A., CALREL — Program for Structural Reliability Analysis, University of California, Berkeley, 1989Google Scholar
- Wen Y.K. and Chen H.C., Reliability of Structural Systems under Time Varying Loads, Proc. ICASP 5, Vancouver, 1987, vol. I, 366–373Google Scholar
- Deodatis G. and Shinozuka M., Response Variability and Reliability of Stochastic Systems Using the Weighted Integral Method, Proc. of 1991 ASCE Eng. Mech. Specialty Conf., Columbus, Ohio, 1991, vol. 1, 263–267Google Scholar
- Veneziano D., Casciati F. and Faravelli L., Method of Seismic Fragility for Complicated Systems, Proc, 2nd Specialist Meeting on Probabilistic Methods in Seismic Risk Assessment for Nuclear Power Plants, Livermore, 1983, 67–88Google Scholar
- Rackwitz R., Reliability Analysis of Structural Components and Systems, in Thoft-Christensen P. (ed), Reliability Theory and Its Applications in Structural and Soil Mechanics, M. Nijhoff Publ., 1983, 171–214Google Scholar
- Faravelli L., Finite-Element Analysis of Stochastic Nonlinear Continua, in Liu W.K. and Belitschko T. (eds.), Computational Mechanics of Probabilistic and Reliability Analysis, Elmepress Int., Lausanne, 1989, 263–280Google Scholar
- Faravelli L. and Lucia A.C., Stochastic Finite Element Analysis of Nozzle-Corner Response, Proc. 9th SMiRT, Lausanne, 1987, vol. M, 327–332Google Scholar
- Faravelli L., Stochastic Finite Elements by Response Surface Technique, in Computational Probabilistic Methods, ASME-AMD, 1988, 197–203Google Scholar
- Faravelli L., Marcellini A. and Franceschina L., Local Amplification in Ground Acceleration Synthesis, Proc. of ICASP6 (Int. Conf. on Appl. of Stat. and Prob. in Civ. Eng.), Mexico, 1991, vol. 1, 565–571Google Scholar
- Bohm F. and Bruckher-Foint A., On a Criterion for Accepting a Response Surface Model, 1991, submitted for pubblicationGoogle Scholar
- Draper N. and Smith H., Applied Regression Analysis, 2nd Edition John Wiley & Sons, 1991, p. 277Google Scholar