Research Article Thermoelastic and Pyroelectric Couplings Effects on Dynamics and Active Control of Smart Piezolaminated Beam Modeled by Finite Element Method M. Sanbi, 1 R. Saadani, 2 K. Sbai, 2 and M. Rahmoune 2 1 Team Science and Advanced Technologies, National School of Applied Sciences, Abdelmalek Essaadi University, 93030 Tetouan, Morocco 2 Team Advanced Materials and Energy Systems, High School of Technology, Moulay Ismail University, 50040 Meknes, Morocco Correspondence should be addressed to M. Rahmoune; rahmoune@umi.ac.ma Received 19 July 2014; Revised 13 October 2014; Accepted 27 October 2014; Published 24 November 2014 Academic Editor: Marcelo A. Trindade Copyright © 2014 M. Sanbi et al. Tis 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. Smart structures with integrated sensors, actuators, and control electronics are of importance to the next generation high- performance structural systems. In this study, thermopiezoelastic characteristics of piezoelectric beam continua are studied and applications of the theory to active structures in sensing and optimal control are discussed. Using linear thermopiezoelastic theory and Timoshenko assumptions, a generic thermopiezoelastic theory for piezolaminated composite beam is derived. Finite element equations for the thermopiezoelastic media are obtained by using the linear constitutive equations in Hamilton’s principle together with the fnite element approximations. Te structure consists of a modeling of cantilevered piezolaminated Timoshenko beam with integrated thermopiezoelectric elements between two aluminium layers. Te structure is modelled analytically and then numerically and the results of simulations are presented in order to visualize the states of their dynamics and the state of control. Te optimal control LQG accompanied by the Kalman flter is applied. Te efects of thermoelastic and pyroelectric couplings on the dynamics of the structure and on the control procedure are studied and discussed. We show that the control procedure cannot be perturbed by applying a thermal gradient and the control can be applied at any time during the period of vibration of the beam. 1. Introduction In the development of distributed sensors, actuators, and thin-flm devices, thin layer piezoelectrics (either laminated, deposited, or embedded) are of importance in many appli- cations, for example, dynamic measurement, control, actu- ation, and so forth. In case studies of electromechanical coupling and implementation of the fnite element method, several studies have been the subject of research on the topic covered in this paper. Aldraihem and Khdeir [1] have studied smart beams with extension and thickness-shear piezoelectric actuators. Trindade et al. [2] have investigated the piezoelectric active vibration control of damped sandwich beams. Gabbert et al. [3] have implemented the modeling, control, and simulation of piezoelectric smart structures using fnite element method and optimal LQ control. Raja et al. [4] have analysed the active vibration control of composite sandwich beams with piezoelectric extension-bending and shear actuators. Moita et al. [5] have studied the active control of adaptative laminated structures with bonded piezoelectric sensors and actuators. Manjunath and Bandyopadhyay have used the technique of fast output sampling feedback in the control of vibrations in SISO based Timoshenko structures [6, 7]. Trindade and Benjeddou [8] have evaluated and opti- mized the efective electromechanical coupling coefcients of piezoelectric adaptive structures. Besides mechanical and electric couplings and interac- tions, temperature can also infuence the performance of piezoelectric devices and its variation can introduce volt- age/charge generation in piezoelectric sensors. In addition, control voltage can cause temperature rise in piezoelectric actuators. Temperature can introduce the pyroelectric efect and the thermal strain efect to the distributed sensors and also thermal defection in dynamic oscillations. Aouadi [9] Hindawi Publishing Corporation Smart Materials Research Volume 2014, Article ID 145087, 10 pages http://dx.doi.org/10.1155/2014/145087