Optimized design of adaptable vibrations suppressors in semi-active control of circular plate vibrations

Abstract

Due to exibility of thin plates, high-amplitude vibrations are observed when they are subjected to severe dynamic loads. Because of the extensive application of circular plates in industry, attenuating the undesired vibrations is of foremost importance. In this paper, Adaptable Vibration Suppressors (AVSs) as a semi-active control approach were utilized to suppress the vibrations in a free circular plate under the concentrative harmonic excitation. Using mode summation method, the mathematical model of the hybrid system including the plate and an arbitrary number of vibration suppressors was analyzed. By developing a complex multiple-loop algorithm, optimum values for the parameters of AVSs (sti ness and position) were achieved such that the plate de ection was comprehensively minimized. According to the results, AVSs acted e ciently in suppressing the vibrations in resonance/non-resonance conditions. It was also observed that optimum AVSs reduced the plate de ection over a broad spectrum of excitation frequencies. Finally, since the algorithm was developed in a general user friendly style, design of AVSs could be extended to other shapes of plates with various boundary conditions and excitations.