Optimal location of piezoelectric actuators for active vibration control of thin axially functionally graded beams

Abstract

Up to now, optimal location for active control studies concern principally multilayers or homogeneous structures. In the case of functionally graded materials, very few papers exist and they only concern cross section variations. In this way, this paper deals with the optimization of piezoelectric actuators locations on axially functionally graded beams for active vibration control. For this kind of structures, the free vibration problem is more complicated as the governing equations have variable coefficients. Here, the eigenproblem is solved using Fredholm integral equations. The optimal locations of actuators are determined using an optimization criterion, ensuring good controllability of each eigenmode of the structure. The linear quadratic regulator, including a state observer, is used for active control simulations. Two numerical examples are presented for two kinds of boundary conditions.

A numerical efficiency study on the active vibration control for a FGPM beam

“…Nevertheless, spillover effect due to the truncation of the modal basis must be considered. One solution is to optimize the location of sensors and actuators by taking into account the first residual modes into the optimization process [24].…”

“…Regarding the active vibration control using functionally graded material, we can find in literature papers dealing with active vibration control of FGM equipped with piezoelectric patches [14][15][16][17][18][19][20][21][22][23][24].…”

Vibration Excitation and Suppression of a Composite Laminate Plate Using Piezoelectric Actuators

“…Wang et al [ 19 ] investigated the optimal configuration of piezocomposite actuators for bending and twisting vibration control of plate structures. Bruant and Proslier [ 20 ] employed piezoelectric actuators for active vibration control of thin, axial, functionally graded beams. Kuriakose and Sreehari [ 21 ] experimentally demonstrated that piezoelectric patches bonded on an airplane wing panel can actually sense the amount of vibration and suppress it using an active vibration control system.…”

Optimal unimorph and bimorph configurations of piezocomposite actuators for bending and twisting vibration control of plate structures

“…For the purposes of flexible structures testing and control, it is useful to investigate the optimal configuration of the actuators and to evaluate their impact on the control performance. Extensive research on the optimal configuration of piezoelectric actuators for vibration control have been carried out (Biglar et al, 2014; Bruant et al, 2010; Bruant and Proslier, 2016; Crawley and De Luis, 1987; Han and Lee, 1999; Leleu et al, 2001; Liu et al, 2003; Qiu et al, 2007; Schulz et al, 2013; Wang and Wang, 2000). The actuators could also be optimized to enhance the shape control performance of smart structures (Gohari et al, 2017).…”