Optimizing vibration control in a cantilever beam with piezoelectric patches

Hamed Mohammadi, Sallehuddin Mohamed Haris

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

In this work, the equation of motion of a cantilever beam with two piezoelectric patches, one acting as a sensor and the other as an actuator was first formulated, and the sensor induced voltage, representing the strain in the beam, was calculated. The beam governing equation was converted into a state space model and its response under active vibration control was studied through numerical simulations. Two types of control methods were used, velocity feedback control (VFC) and the Linear Quadratic Regulator (LQR). The effects of varying controller gains and weighting matrices on the beam vibration amplitude and settling time, as well as the induced voltage in the actuator were investigated. The LQR controller was found to be more effective than the VFC as the maximum induced actuator voltage was significantly lower. For the LQR controller weighting matrices Q and R, it was found that increasing Q reduces settling time and increases the actuator induced voltage, while increasing R, increases settling time. A calculation method for optimizing sensor placement and actuator length is also presented. The results indicate that the optimal actuator length is about 60% of the beam length.

Original languageEnglish
Title of host publicationProceedings of 2014 International Conference on Modelling, Identification and Control, ICMIC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages88-93
Number of pages6
ISBN (Print)9780956715746
DOIs
Publication statusPublished - 23 Jan 2015
Event6th International Conference on Modelling, Identification and Control, ICMIC 2014 - Melbourne
Duration: 3 Dec 20145 Dec 2014

Other

Other6th International Conference on Modelling, Identification and Control, ICMIC 2014
CityMelbourne
Period3/12/145/12/14

Fingerprint

Vibration Control
Cantilever Beam
Cantilever beams
Vibration control
Patch
Actuator
Actuators
Voltage
Regulator
Velocity control
Electric potential
Controller
Feedback Control
Controllers
Feedback control
Weighting
Sensors
Sensor Placement
Active Vibration Control
Q-matrix

Keywords

  • Active vibration control
  • Actuator
  • LQR
  • Piezoelectric patch
  • Sensor
  • Smart material

ASJC Scopus subject areas

  • Modelling and Simulation
  • Control and Systems Engineering

Cite this

Mohammadi, H., & Mohamed Haris, S. (2015). Optimizing vibration control in a cantilever beam with piezoelectric patches. In Proceedings of 2014 International Conference on Modelling, Identification and Control, ICMIC 2014 (pp. 88-93). [7020733] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICMIC.2014.7020733

Optimizing vibration control in a cantilever beam with piezoelectric patches. / Mohammadi, Hamed; Mohamed Haris, Sallehuddin.

Proceedings of 2014 International Conference on Modelling, Identification and Control, ICMIC 2014. Institute of Electrical and Electronics Engineers Inc., 2015. p. 88-93 7020733.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mohammadi, H & Mohamed Haris, S 2015, Optimizing vibration control in a cantilever beam with piezoelectric patches. in Proceedings of 2014 International Conference on Modelling, Identification and Control, ICMIC 2014., 7020733, Institute of Electrical and Electronics Engineers Inc., pp. 88-93, 6th International Conference on Modelling, Identification and Control, ICMIC 2014, Melbourne, 3/12/14. https://doi.org/10.1109/ICMIC.2014.7020733
Mohammadi H, Mohamed Haris S. Optimizing vibration control in a cantilever beam with piezoelectric patches. In Proceedings of 2014 International Conference on Modelling, Identification and Control, ICMIC 2014. Institute of Electrical and Electronics Engineers Inc. 2015. p. 88-93. 7020733 https://doi.org/10.1109/ICMIC.2014.7020733
Mohammadi, Hamed ; Mohamed Haris, Sallehuddin. / Optimizing vibration control in a cantilever beam with piezoelectric patches. Proceedings of 2014 International Conference on Modelling, Identification and Control, ICMIC 2014. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 88-93
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