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The combined use of finite elements and sensitivity analysis for the optimization of the dynamical behaviour of structures. (English) Zbl 0622.73073
Variational methods in engineering, Proc. 2nd Int. Conf., Southampton/Engl. 1985, 7/3-7/11 (1985).
[For the entire collection see Zbl 0618.00010.]
The last years have seen a tremendous increase of research in which numerical and experimental techniques are combined; many conferences were dedicated to this approach of problems, in which we take the best of both worlds. [G. A. Keramidas and C. A. Brebbia, Computational methods and experimental measurements. Proc. Int. Conf., Washington D. C. 1982 (1982; Zbl 0513.00014)]. Logically, two very popular methods, having retained a large amount of attention, did not escape their fate: the finite element method and modal analysis, the latter - as we will see - coupled with sensitivity analysis. In this paper, which does not aim at being a review of the subject, but rather the expression of gained experience in the field, we will try to show what the combination of finite elements, or - more generally - Rayleigh-Ritz techniques, modal analysis and sensitivity analysis can yield.
MSC:
74S05 Finite element methods applied to problems in solid mechanics
74P99 Optimization problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics