Controlling resonance frequencies of a rectangular plate by a discrete applied force

Abstract

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 (x₂, y₂) by applying a force, and the displacement is measured at (x₁, y₁).

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.

Citation

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