Optimum Design of a Tuneable Vibration Absorber with Variable Position to Suppress Vibration of a Cantilever Plate

Abstract

Tuneable vibration absorbers (TVAs) are used as semi-active controllers to reduce the undesirable vibrations in applications such as electrical transmission lines, machining processes, gas turbines, engines, and bridges. In this paper, the application of a TVA to suppress vibration of a cantilever plate is presented. The TVA, including mass, spring, and damper elements, is attached to the cantilever plate under harmonic excitation. In addition, the effect of the spring mass is considered in this analysis, which cannot be neglected in the small-scale problems. After the formulation of the problem, the optimum specifications of the absorber, including the spring stiffness and its position, are determined using an algorithm based on mode summation method. Using a numerical algorithm, the spring stiffness of the absorber and its best position are found for different values of excitation force position and frequency.