Vibration Control for a Cantilever Beam with an Eccentric Tip Mass Using a Piezoelectric Actuator and Sensor

Abstract

A novel model using the transfer matrix method for multibody system (TMMMS) is put forward to describe the dynamic characteristics of a cantilever beam that has a concentrated mass at its tip under axial excitations. The theoretical analysis and numerical results demonstrate that this model has some advantages, such as for a small matrix and a higher computational speed. Based on this model a control system, which is composed of a LQG controller, a piezoelectric actuator, and a sensor for the cantilever beam is proposed, theoretically analyzed, and experimentally verified. The experimental results show that the proposed controller with the piezoelectric actuator can effectively reduce the vibration of the cantilever beam with an eccentric tip mass. The piezoelectric sensor can measure vibration responses with high-accuracy. Therefore, this new model gives a broad range of possibilities for model-based controller design and implementation.

Transient vibration of a fractional viscoelastic cantilever beam with an eccentric mass element at the end

“…Cantilever beams with a tip mass element are commonly used to model various engineering structures, such as tall buildings, offshore structures, moving cranes, masts, accelerometers, military airplane wings, accelerometers, Stockbridge dampers, energy harvesters, turbine blades (Rama Bhat and Wagner, 1976; Erturk and Inman, 2011; Gürgöze and Zeren, 2011; Markiewicz, 1995;Seidel and Csepregi, 1984). This issue has been studied extensively by many researchers for different variants of cantilever beams (Gürgöze and Zeren, 2011;Suzuki et al, 2021;Yang, 2017). However, many studies have omitted some important issues, such as the effects of material damping and eccentricity on system dynamics.…”

“…It is rather obvious that in some vibration studies of such beam systems it is necessary to take eccentricity into account, namely that the center of mass of the element does not coincide with its point of attachment to the end of the beam. This eccentricity can affect dynamic properties of the analyzed system (Gürgöze and Zeren, 2011; Suzuki et al, 2021;Yang, 2017). Similarly, viscoelastic properties of the material may significantly affect the dynamic behavior of the system, thus a proper viscoelastic material model should be used in dynamic analysis.…”

Modeling and Analysis of Multiple Attached Masses Tuning a Piezoelectric Cantilever Beam Resonant Frequency

“…erefore, it is much critical to tune a piezoelectric cantilever working on the first two resonant frequencies through adjusting the attached proof mass. Some research investigated the influence of a mass location on the cantilever frequency and some showed the relationship between a mass weight and cantilever frequency [26][27][28][29][30]. Although plenty of papers have illustrated that an attached mass can tune the frequency wideband of a piezoelectric cantilever, attached multiple masses tuning piezoelectric cantilever resonant frequencies have not been well studied yet.…”