Positive Position Feedback Active Vibration Control of a Smart Cantilever Beam Using ANSYS

DOI

10.2991/eame-15.2015.143How to use a DOI?

Keywords

active control; ANSYS; finite element model; linear quadratic regulator; LQR; piezoelectric actuators; positive position feedback; PPF

Abstract

In this work, the active vibration control of a uniform cantilever beam using piezoelectric materials subjected to transverse vibrations is studied. The equation of motion of a beam bonded with the piezoelectric actuator is realized based on the Euler Bernoulli beam theory and the Hamilton’s principle. A linear time invariant state space model is derived. Numerical simulations of the equation of motion are performed. Moreover, a finite element model of the beam-piezo system is done using ANSYS APDL©. Two control algorithms were also implemented using ANSYS APDL code to reduce the flapwise bending vibrations of the beam. The two control techniques are: Linear quadratic regulator (LQR) and positive- position-feedback (PPF). Results of the PPF simulations were compared with that of the LQR control and the advantage of using PPF control over LQR control in the finite element simulations is presented.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - A.A. El Badawy
AU  - M.M. El Masry
PY  - 2015/07
DA  - 2015/07
TI  - Positive Position Feedback Active Vibration Control of a Smart Cantilever Beam Using ANSYS
BT  - Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering
PB  - Atlantis Press
SP  - 503
EP  - 508
SN  - 2352-5401
UR  - https://doi.org/10.2991/eame-15.2015.143
DO  - 10.2991/eame-15.2015.143
ID  - ElBadawy2015/07
ER  -