The purpose of this paper is to analyse analytically a control scheme in which the resonance frequencies of a rectangular plate is modified by applying a discrete lateral force proportional to the displacement of the plate measured at a single point.
An isotropic, elastic, rectangular, thin plate which is simply supported along all sides is actuated at point (x2, y2) by applying a force, and the displacement is measured at (x1, y1).
The main outcome is the full analytical solution for the controlled eigenfrequencies and mode shapes which allows a detailed study of the efficiency of the control method proposed.
The present study was made in the form of an exact analytical solution and demonstrates that it is possible to affect the eigenfrequencies and mode shapes of a plate by measuring the displacement and applying a pressure at discrete points on the plate.
Uzal, E. and Korbahti, B. (2009), "Controlling resonance frequencies of a rectangular plate by a discrete applied force", Aircraft Engineering and Aerospace Technology, Vol. 81 No. 2, pp. 123-127. https://doi.org/10.1108/00022660910941811
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