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Vibrational control of a non-linear elastic panel. (English) Zbl 1345.74046

Summary: The paper is concerned with the stabilization of the non-linear panel oscillation by an active control. The control is actuated by a combination of additive and parametric vibrational forces. A general method of vibrational control is presented for stabilizing panel vibration satisfying a non-linear beam equation. To obtain analytical results, a perturbation technique is used in the case of weak non-linearity. Possible application to the other type of problems is briefly discussed.

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
74B99 Elastic materials
74M05 Control, switches and devices (“smart materials”) in solid mechanics
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