Stochastic and reliability analysis of a propeller with model reduction
DOI:
https://doi.org/10.13052/EJCM.18.195-215Keywords:
modal analysis, stochastic analysis, perturbation, reliability analysis, heuristic based reliability methodAbstract
Nowadays, design based on purely deterministic analyses has been replaced by stochastic and reliability analyses which consider the uncertainties affecting the design parameters. But from a numerical point of view, these analyses become costly for industrial mechanical applications (modelled by finite elements method) because of their great number of freedom degrees. In this work, we take an interest in reducing the CPU time for stochastic and reliability analyses of an industrial mechanical application by the modal condensation of his numerical model with the component mode synthesis method. The example of a propeller is studied to validate the proposed methods. The results of this study tend to show the considerable gain in CPU which we save by the using of our methodology.
Downloads
References
Breitung K., “Asymtotic Approximation for Multinormal Integrals”, Journal of Engineering
Mechanics, ASCE, vol. 110, n° 3, 1984, p. 357-366.
Craig R.R., “Substructure methods in vibration, Transactions of the ASME”, Journal of
Vibration and Acoustics, vol. 117, 1995, p. 207-213.
Der Kiureghian A., De Stefano M., “Efficient algorithm for second-order reliability analysis”,
Journal of the Engineering Mechanics Division, American Society of Civil Engineers,
vol. 117, n° 12, 1991.
Dessombz O., Analyse des structures comportant des paramètres incertains, Thèse de
doctorat, Ecole Centrale de Lyon, France, 2000.
Dorigo M., Optimization, Learning and Natural Algorithms, Ph.D. Dissertation, Politecnico di
Milano, Italy, 1992.
El Hami A., Lallement G., Minotti P., Belhadj H., Cogan S., “Methods combining finite
group theory with component modes synthsis in the analysis of repetitive structures”,
Computer and Structures, vol. 48, n° 6, 1993, p. 975-982.
El Hami A., Radi B., “Some Decomposition Methods in the Analysis of repetitive structures”,
Computers & structures, vol. 58, n° 5, 1996, p. 973-980.
Fiessler B., Neumann H.J., Rackwitz R., “Quadratic Limit States in Structural Reliability”,
Journal of Engineering Mechanics, ASCE, vol. 1095, n° 4, 1979, p. 661-676.
Haldar A., Mahadevan S., Reliability Assessment Using Stochastic Finite Element Analysis,
Ed. John Wiley & Sons, Inc., New York, USA, 2000.
Haupt R.L., Haupt S.E., Pratical Genetic Algorithms, Wiley-Interscience Publication, New
York, USA, 2004.
Impollonia N., Ricciardi G., “Explicit solutions in the stochastic dynamics of structural
systems”, Probabilistic Engineering Mechanics, vol. 21, 2005, p. 171-181.
Kennedy J., Eberhart R.C., “Particle Swarm Optimization”, Proceedings of the 1995 IEEE
International Conference on Neural Networks, Perth, Australia, 1995, p. 1942-1948.
Kleiber M., Hien T.D., The stochastic finite element method, Ed. Jhon Wiley, 1992.
Michalewicz Z., Genetic Algorithms + Data Structures = Evolution Programs, Springer-
Verlag, New York, USA, 1994.
Mohsine A., Contribution à l’optimisation Fiabiliste en Dynamique des Structures
Mécaniques. Thèse de Doctorat, Institut National des Sciences Appliquées de Rouen,
France, 2006.
Muscolino G., Ricciardi G., Impollonia N., “Improved dynamic analysis of structures with
mechanical uncertainties under deterministic input”, Probabilistic Engineering
Mechanics, vol. 15, 1999, p. 199-212.
Pourtakdoust S.H., Nobahari H., “An Extension of Ant Colony to Continous Optimization
Problems”, Dorigo, M. (ed.), Proceedings of the ANTS 2004 – Fourth International
Workshop on Ant Colony Optimization and Swarm Intelligence, Brussels, Belgium, 2004.
Rackwitz R., Fiessler B., “Structural Reliability Under Combined Random Load Sequences”,
Computers and Structures, vol. 9, n° 5, 1978, p. 484-494.
Rojas J.E., Viana F.A., Rade D., Steffen Jr. V., “A Procedure for Structural Reliability
Analysis Based on Finite Element Modeling”, IV Congresso Nacional de Engenharia
Mecânica, 22 a 25 de Agosto 2006, Recife-PE, Brasil.
Rojas J.E., Viana F.A., Rade D., “Natured-inspired Optimization Techniques Applied to
Structural Reliability Analysis”, 7th Multidisciplinary International Conference Quality
and Reliability (RAMS), 20-22 March 2007, Tangier, Morocco.
Rojas J.E., Reliability Analysis Methodology based on Heuristic Optimization Techniques
and Meshless Methods Applied to Mechanical Systems (in French), Doctoral Thesis,
Institut National des Sciences Appliquées de Rouen, France, 2008.
Shinozuka M., “Monte Carlo solution of structural dynamics”, International Journal
Computer Structural, vol. 2, 1972, p. 855-874.
Socha K., “ACO for Continuous and Mixed-Variable Optimization”, Dorigo, M. (ed.),
Proceedings of the ANTS 2004 – Fourth International Workshop on Ant Colony
Optimization and Swarm Intelligence, Brussels, Belgium, 2004.
Van den Nieuwenhof B., Coyette J.P., “Modal approaches for the stochastic finite element
analysis of structures with material and geometric uncertainties”, Computers Methods in
applied mechanics and engineering, vol. 192, 2003, p. 3705-3729.
Vanderplats G.N., Numerical Optimization Techniques for Engineering Design, Vanderplaats
Research and Development, Inc., 3rd edition, 1999.
Venter G., Sobieski J.S., “Multidisciplinary Optimization of a Transport Aircraft Wing using
Particle Swarm Optimization”, Proceedings of the 9th AIAA/ISSMO Symposium on
Multidisciplinary Analysis and Optimization, vol. AIAA 2002-5644, Atlanta, GA,
September 4-6, 2002.
Wang L., Grandhi R.V., “Safety Index Calculation Using Intervening Variables for Structural
Reliability Analysis”, Computers & Structures, vol. 59, n° 6, 1996, p. 1139-1148.
Zhao Y.G., Ono T., “A general Procedure for First/Second-order Reliability Method
(FORM/SORM)”, Structural Safety, vol. 21, 1999, p. 95-112.