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Remarks on dynamic substructuring. (English) Zbl 0692.73059
The following paper considers a mathematical formulation of a substructuring method with applications in dynamics. By value of its reliability this technique is particularly suitable for the dynamical optimization and control of large structures where modifications are limited to a small part, for instance, the vibration reduction of space structures. The goal of this paper is to give a mathematical analysis of a known method which up to now has only been used in experimental studies. After a brief mathematical introduction, we show how such a method can be used to solve a problem numerically. Solution of a fluid- structure problem and a further simple example suggests that this method could be of some interest. It is rather different from substructuring methods developed by several authors; the MacNeal method using free edge with the static correction introduced by R. H. MacNeal [Comput. Struct. 1, No.4, 581-601 (1971)] and S. Rubin [AIAA J. 13, 995-1006 (1975; Zbl 0334.70014)], and the R. Craig and M. Bampton, technique [AIAA J. 6, 1313-1319 (1968; Zbl 0159.562)] which uses clamped edge modes. We must mention that the benefit of the static correction due to MacNeal and Rubin still applies in this instance.

74S30 Other numerical methods in solid mechanics (MSC2010)
74P99 Optimization problems in solid mechanics