Abstract
This work is an extension of the work done in previous papers (Besset and Jézéquel in Intern J Numer Method Eng 70(5):523–542, 2007; J Vib Acoust 130(1):011008, 2008; Intern J Numer Method Eng 73:1347–1373, 2008; J Vib Acoust 130(3):031009, 2008). It deals with modal criteria allowing to process optimization of structures including robustness. The system considered in the paper is a fluid-structure system. The aim of the paper is to use component mode synthesis methods to optimize the geometry of the structure and the robustness with respect to the design parameter variations of its vibroacoustic behaviour. Two criteria will be proposed. The first one is directly linked to the pressure level in the acoustic cavity. The second one is linked to the robustness of the methods. It comes from the polynomial chaos study of the considered system. A classical multiobjective optimization is then processed and Pareto graphics are proposed to represent the optimal solutions of the optimization problem.
References
Besset, S., Jézéquel, L.: Optimization of structural dynamic behaviour based on effective modal parameters. Intern. J. Numer. Method Eng. 70(5), 523–542 (2007)
Besset, S., Jézéquel, L.: Dynamic substructuring based on a double modal analysis. J. Vib. Acoust. 130(1), 011008 (2008)
Besset, S., Jézéquel, L.: Modal criteria for optimization of the acoustical behaviour of a vibroacoustic system based on a systemic approach. Intern. J. Numer. Method Eng. 73, 1347–1373 (2008)
Besset, S., Jézéquel, L.: Vibroacoustical analysis based on a multimodal strategy: triple modal synthesis. J. Vib. Acoust. 130(3), 031009 (2008)
Doltsinis, I., Kang, Z.: Robust design of structures using optimization methods. Comput. Method Appl. Mech. Eng. 193(2326), 2221–2237 (2004)
Ghanem, R., Spanos, P.: Stochastic finite elements: a spectral approach. Springer Verlag, Berlin (1991)
Jézéquel, L., Setio, H.D.: Component modal synthesis methods based on hybrid models, part i : theory of hybrid models and modal truncation methods. ASME J. Appl. Mech. 61, 100–108 (1994)
Jézéquel, L., Setio, H.D.: Component modal synthesis methods based on hybrid models, part ii: numerical tests and experimental identification of hybrid model. ASME J. Appl. Mech. 61, 109–116 (1994)
Lemerle, P.: Optimisation des structures selon des critères imposés par la discrétion acoustique des navires. Thèse de doctorat, École Centrale de Lyon (1994)
Morand, H.J., Ohayon, R.: Fluid structure interaction. Wiley, New York (1995)
Ohayon, R.: Reduced symetric models for modal analysis of internal structural-acoustic and hydroelastic-sloshing systems. Comput. Method Appl. Mech. Eng. 190, 3009–3019 (2001)
Ohayon, R.: Reduced models for fluid-structure interaction problems. Intern. J. Numer. Method Eng. 60, 139–152 (2003)
Sandberg, G.E., Hansson, P.A., Gustavsson, M.: Domain decomposition in acoustic and structure-acoustic analysis. Comput. Method Appl. Mech. Eng. 190, 2979–2988 (2001)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Besset, S., Jézéquel, L. Modal criteria for robust optimization of vibroacoustic systems. Optim Lett 8, 1567–1576 (2014). https://doi.org/10.1007/s11590-013-0664-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11590-013-0664-z