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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.
74S05 Finite element methods applied to problems in solid mechanics
74P99 Optimization problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics