Remarks on dynamic substructuring.

*(English)*Zbl 0692.73059The 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.

##### MSC:

74S30 | Other numerical methods in solid mechanics (MSC2010) |

74P99 | Optimization problems in solid mechanics |