ASA 130th Meeting - St. Louis, MO - 1995 Nov 27 .. Dec 01

4pNSb8. The local algorithms of autoresonant absorption of the energy of bending waves in elastic plates.

Vladimir V. Arabadzhi

Inst. of Appl. Phys., Russian Acad. of Sci., 603600 Nizhny Novgorod, Russia

For the simplest model---an infinite elastic plate---three control algorithms (local in space and time) are studied by a normal point shift to achieve the maximum of absorbed power. They are: (a) the algorithm of half-return, (b) the algorithm of the random search for the maximum of the instantaneous absorbed power, (c) the continuous algorithm of the resonant absorption. These algorithms provide the exit to the trajectory of the resonant absorption during the time much less than the minimum time scale of the damped wave, i.e., knowing either its period, or its length. The considered algorithms differ in the necessary volume of the a priori information on the plate parameters and in the power of the ``technological'' high-frequency radiation caused by rapid manipulations with the boundary condition. The speed of response of sensors and final control elements is supposed to allow the formation of arbitrary kinematic characteristics of the boundary. The conditions for the effective operation of the algorithms in the case of plates with finite dimensions are formulated. The algorithms may be used to decrease the quality of mechanical systems made up of elastic plates.