Purpose – 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. Design/methodology/approach – An isotropic, elastic, rectangular, thin plate which is simply supported along all sides is actuated at point ( x 2 , y 2 ) by applying a force, and the displacement is measured at ( x 1 , y 1 ). Findings – 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. Originality/value – 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.
Aircraft Engineering and Aerospace Technology – Emerald Publishing
Published: Jan 23, 2009
Keywords: Control systems analysis; Vibration; Distributed parameter control systems
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