Assessment Of The Solution And Prediction Algorithms During The Optimization Of Fluid-structure Interaction Dynamic Systems

For optimization problems based on dynamic criteria the system eigenvalues must be re-computed for each ' iteration as the values of the design parameters are changed. From a computational point of view it would be more efficient to replace the laborious process of determining the eigenvalues by direct prediction. The suitability and advantages of this scheme are examined here. The number of operations required by the direct and the predictive solution algorithms are compared. The prediction scheme has been applied to the problem of maximizing the separation of two adjacent eigenvalues for structural and couple fluid-structure systems.3244752Deneuvy, A.-C., Etude d'un probleme de conception optimale avec critere sur les frequences pour un systeme couple fluid-structure (1986) Lyon, França, L'École Centrale de Lyon, p. 203. , Thèse de Docteur, Spécialité: Mathematiques AppliqueesPal, C., Hagiwara, I., Dynamics analysis of a coupled structural-acoustic problem. Simultaneous multi-modal reduction of vehicle interior noise level by combined optimization (1993) Finite Elements in Analysis and Design, 14, pp. 225-234Pal, C., Hagiwara, I., Optimization of noise level reduction by truncated modal coupled structural-acoustic sensitivity analysis (1994) JSME International Journal, Series C, 37 (2), pp. 246-251Golub, G.H., Van Loan, C.F., (1990) Matrix Computations, 642p. , The Johns Hopkins University PressOlson, L.G., Bathe, K.-J., Analysis of fluid-structure interactions. a direct symmetric coupled formulation based on the fluid velocity potential (1985) Computers & Structures, 21 (1-2), pp. 21-32Grosh, K., Pinsky, P.M., Complex wave-number dispersion analysis of galerkin and galerkin least-squares methods for fluid-loaded plates (1994) Computer Methods in Applied Mechanics and Engineering, 113, pp. 67-98Sandberg, G., A new strategy for solving fluid-structure problems (1995) International Journal for Numerical Methods in Engineering, 38, pp. 357-370Fox, R.L., Kapoor, M.P., Rates of change of eigenvalues and eigenvectors (1968) AIAA Journal, 6 (12), pp. 2426-242