An active vibration absorber for a flexible plate boundary-controlled by a linear motor

Wu, Shang–Teh; Chen, Jiann‐Yeu; Yeh, Yuan-Chih; Chiu, Yea-Ying

doi:10.1016/j.jsv.2006.08.015

Cited by 14 publications

(2 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Vidoli and Dell'Isola [27] implemented electrically interconnected piezoelectric actuators to attenuate the vibrations while Caruso et al [28] placed couples of piezoelectric patches, used as sensors and actuators, to attenuate the oscillations. Wu et al [29] incorporated a linear motor to control the vibrations. Qiu et al [30] analyzed the e ect of piezoelectric ceramics patches as sensors and actuators to suppress the vibration of the smart exible clamped plate.…”

Section: Introductionmentioning

confidence: 99%

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

2018

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

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

2018

View full text Add to dashboard Cite

show abstract

“…Sloss et al (2005) used maximum principle for BC of an annular plate. Wu et al (2007) regulated a thin flexible plate subjected to cyclic disturbances via a linear motor at the boundary.…”

Section: Introductionmentioning

confidence: 99%

Trajectory Tracking and Vibration Suppression for General Spatial Motion of a Flexible Plate via Two-time Scale and Boundary Control Methods

Lotfazar

Eghtesad

Najafi

et al. 2010

Journal of Vibration and Control

View full text Add to dashboard Cite

In this paper, general spatial trajectory tracking problem of a flexible plate is studied. To obtain dynamic equations of motion of the plate, Hamiltonian dynamics is used and then Lagrange’s equations of the plate dynamics and the corresponding expressions for boundary conditions are derived. Resulting equations show that the coupled plate dynamics including plate vibration and its rigid spatial motion take place in two different time domains. By using two-time scale (TTS) control theory, a control scheme is elaborated that makes the orientation and position of selected points of the plate track a desired trajectory while suppressing the plate’s vibration. TTS composite controller has two parts: one is a tracking controller designed for the slow (rigid) subsystem, and the other one is a stabilizing controller for the fast (flexible) subsystem. For the fast subsystem, the proposed boundary control method does not require any information about vibration of the interior points of the plate; nor requires discretizing the partial differential equation of the plate vibration to a set of ordinary differential equations. This part of the control commands consists of feedback of the velocities at the boundary points of the plate. So, the method avoids the need for instruments to measure data from vibration of any points inside the plate or designing an observer for estimating this information. Also the proposed method prevents control spillover due to discretization and resorting to truncation of the model. Simulation results show that the fast stabilizing control commands at the boundary are able to remove undesirable vibration of the flexible plate and the slow controller provides very good trajectory tracking with acceptable actuating forces/moments.

show abstract

Suppression of maglev vehicle–girder self-excited vibration using a virtual tuned mass damper

Zhou

Hansen

2011

Journal of Sound and Vibration

View full text Add to dashboard Cite

An active vibration absorber for a flexible plate boundary-controlled by a linear motor

Cited by 14 publications

References 13 publications

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

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

Trajectory Tracking and Vibration Suppression for General Spatial Motion of a Flexible Plate via Two-time Scale and Boundary Control Methods

Suppression of maglev vehicle–girder self-excited vibration using a virtual tuned mass damper

Contact Info

Product

Resources

About