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