Technical Brief

Vibration Suppression of a Strain Gradient Microscale Beam Via an Adaptive Lyapunov Control Strategy

[+] Author and Article Information
Mohammad Ali Nojoumian

Department of Mechanical Engineering,
Sharif University of Technology,
Azadi Street,
Tehran 11155-9567, Iran
e-mail: manojoomian@yahoo.com

Ramin Vatankhah

School of Mechanical Engineering,
Shiraz University,
Shiraz 71936-16548, Iran
e-mail: rvatankhah@shirazu.ac.ir

Hassan Salarieh

Department of Mechanical Engineering,
Sharif University of Technology,
Azadi Street,
Tehran 11155-9567, Iran
e-mail: salarieh@sharif.edu

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received November 27, 2013; final manuscript received December 9, 2015; published online January 18, 2016. Assoc. Editor: Srinivasa M. Salapaka.

J. Dyn. Sys., Meas., Control 138(3), 034501 (Jan 18, 2016) (5 pages) Paper No: DS-13-1477; doi: 10.1115/1.4032316 History: Received November 27, 2013; Revised December 09, 2015

Vibration suppression of a strain gradient Euler–Bernoulli beam in presence of disturbance and uncertainties is considered in this investigation. Vibration of the system is suppressed by an adaptive boundary controller which has robustness to the environmental and control effort disturbances. The direct Lyapunov stability theorem is used to design the controller and adaptation law. The numerical results are presented to demonstrate the effectiveness of the proposed controller.

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Grahic Jump Location
Fig. 2

System's behavior after adding white noise to the environment

Grahic Jump Location
Fig. 1

Free end deflection, angle, and control effort of the beam



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