Modal criteria for robust optimization of vibroacoustic systems

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.