Chow, P. L.; Maestrello, L. Vibrational control of a non-linear elastic panel. (English) Zbl 1345.74046 Int. J. Non-Linear Mech. 36, No. 4, 709-718 (2001). 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 Keywords:Vibrational control; Non-linear panel oscillation; Method of averaging PDFBibTeX XMLCite \textit{P. L. Chow} and \textit{L. Maestrello}, Int. J. Non-Linear Mech. 36, No. 4, 709--718 (2001; Zbl 1345.74046) Full Text: DOI