Article

 

Model-Independent Vibration Control of Flexible Beam-Like Structures Using a Fuzzy Based Adaptation Strategy Open Access Deposited

Downloadable Content

Download PDF
Download Adobe Acrobat Reader
Date Uploaded: 02/08/2017
Date Modified: 04/05/2017

The present study deals with an AFCA (Adaptive Fuzzy Control Algorithm) for an Euler-Bernoulli approximation of a two-dimensional version of a cantilever beam-like orthogonal tetrahedral space truss. Transient disturbances, modeled as a unit impulse, excite all the modes of the beam. The resulting transverse displacement at the free end of the beam and its corresponding rate are observed by sensors placed there, and active control of the beam is provided by a collocated force actuator.

A design methodology for the closed-loop control algorithm that is independent of an exact mathematical model (space-state model, F.E.M., etc.) of plant dynamics and which is based on fuzzy logic is presented. First, the behavior of the open-loop system is observed. Then, the control force applied to the system emulates the behavior of a dynamic vibration absorber which is tuned to the measured fundamental frequency. This approach not only assures inherent stability associated with passive absorbers, but also circumvents the phenomenon of modal spillover. The damping and the mass ratios of the absorber adapt themselves by using a fuzzy decision-making process. This results in relatively quick settling times, low overshoots and dying out of vibration within a few seconds.

When the control force is turned off after a mere 16 seconds, almost all the vibrational energy is dissipated. In addition, the performance of the AFCA is insensitive to varying initial conditions. To demonstrate the robustness of the control system to changes in the temporal dynamics of the cantilever beam, the transient response to a considerably perturbed plant is simulated. The Young's modulus of the beam was raised as well as lowered substantially, thereby significantly perturbing the natural frequencies of vibration. The mode shapes, however, remain unchanged. For these cases, too, the AFCA provides similar settling times and rates of vibrational energy dissipation.

Creator
License
Submitter
College
Department
Date Created
Journal Title
  • Journal of Intelligent Material Systems and Structures
Language
Note
  • This work was part of a pilot "mediated-deposit model" where library staff found potential works, later submitted for faculty review

Digital Object Identifier (DOI)

Identifier: 10.1177/1045389X9700800304
Link: http://dx.doi.org/10.1177/1045389X9700800304

This DOI link is the best way for others to cite your work.

Relationships

Items

Permanent link to this page: https://scholar.uc.edu/show/bc386t31h