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Journal of Sensors
Volume 2011 (2011), Article ID 240341, 8 pages
Research Article

Optimal Design of Adaptive Laminated Beam Using Layerwise Finite Element

Sharif University of Technology, International Campus, Kish Island, Iran

Received 30 September 2010; Revised 30 January 2011; Accepted 21 February 2011

Academic Editor: Bernhard Jakoby

Copyright © 2011 Abolghassem Zabihollah and Shahin Zareie. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


First, an efficient and accurate finite element model for smart composite beams is presented. The developed model is based on layerwise theory and includes the electromechanical coupling effects. Then, an efficient design optimization algorithm is developed which combines the layerwise finite element analysis model for the smart laminated beam, sensitivity analysis based on analytical gradients and sequential quadratic programming (SQP). Optimal size/location of sensors/actuators is determined for dynamic displacement measurement purposes and for vibration control applications. For static and eigenvalue problems, the objective is to minimize the mass of the beam under various constraints including interlaminar stresses, displacements, and frequencies. For transient vibration problems, the objective is the minimization of the actuation control effort to suppress the vibration in a controlled manner. Illustrative examples are provided to validate the formulation and to demonstrate the capabilities of the present methodology.