This paper develops a finite element model based on first-order shear deformation theory for optimal placement and active vibration control of laminated composite plates with bonded distributed piezoelectric sensor/actuator pairs. The nine-node isoparametric rectangular element with five degrees of freedom for the mechanical displacements, and two electrical degrees of freedom is used. | Vietnam Journal of Science and Technology 56 (1) (2018) 113-126 DOI: OPTIMAL PLACEMENT AND ACTIVE VIBRATION CONTROL OF COMPOSITE PLATES INTEGRATED PIEZOELECTRIC SENSOR/ACTUATOR PAIRS Tran Huu Quoc, Vu Van Tham*, Tran Minh Tu University of Civil Engineering, 55 Giai Phong Road, Hai Ba Trưng District, Ha Noi * Email: vuthamxd@ Received: 1 November 2016; Accepted for publication: 3 January 2018 Abstract. This paper develops a finite element model based on first-order shear deformation theory for optimal placement and active vibration control of laminated composite plates with bonded distributed piezoelectric sensor/actuator pairs. The nine-node isoparametric rectangular element with five degrees of freedom for the mechanical displacements, and two electrical degrees of freedom is used. Genetic algorithm (GA) is applied to maximize the fundamental natural frequencies of plates and the constants feedback control method is used for the vibration control analysis of piezoelectric laminated composite plates. Numerical results showed the accuracy of the presented method against relevant published literatures. Keywords: composite plate, FEM, active control, optimization, Genetic Algorithm, piezoelectric. Classification numbers: , , . 1. INTRODUCTION During the past decade, the application of piezoelectric materials has steadily increased. The piezoelectric elements can be used as automotive sensors, actuators, transducers and active damping devices, etc. Piezoelectric materials show coupling phenomenon between elastic and electric fields, they induce an electric potential/charge when they are deformed, which is called as the direct piezoelectric effect. Conversely, an applied electric field will produce its deformation, which is named the converse piezoelectric effect. The location of piezoelectric sensor/actuator has significant influence on performance, such as controllability, observability, stability and efficiency