Visco-piezo-elastic parameter estimation in laminated plate structures

Abstract

A parameter estimation technique is presented in this article, for identification of elastic, piezoelectric and viscoelastic properties of active laminated composite plates with surface-bonded piezoelectric patches. The inverse method presented uses experimental data in the form of a set of measured natural frequencies of free vibration and corresponding modal loss factors. An equivalent single layer higher order numerical model is used for the free vibration analysis of active laminated plate structures and the response of the model is adjusted in order to match the experimental data, hence determining the material parameters for the best fit. The solution of the inverse problem is obtained by gradient-based optimization techniques, through constrained minimization of an error functional, which expresses the deviation of the numerical model's response with respect to the experimentally measured data. Results are presented for the estimation of elastic, piezoelectric and viscoelastic properties in laminated plates.

Measurement of relevant elastic and damping material properties in sandwich thick plates

“…Compared to the work of Pagnacco et al [26] and to that of Matter et al [27,36], the present method does not require full-field measurements and is thus much simpler to implement and faster to execute. Compared to the method of [29,37,66], High Resolution Modal Analysis allows for more modal data to be extracted and used for the estimation of the elastic and damping properties of sandwich materials. Moreover, residuals obtained in the present paper for modal frequencies (≃ 1 %) and dampings (≃ 10 %) are fully in agreement with residuals obtained in [36][37][38] which estimate mechanical parameters of sandwich panels using much less modal data than does the present study.…”

Natural fibre-reinforced composite parts for automotive applications

“…We will minimise the discrepancies between the natural frequencies and modal loss factors of the plates obtained both experimentally and using a numerical finite element model with adjustable constitutive properties (Araujo et al, 1996(Araujo et al, , 2009a(Araujo et al, , 2009b. Regarding boundary conditions, the free edges are preferred because they are easier to simulate experimentally, by suspending the plates in their plane and hence perpendicular to the vibration direction in bending.…”

“…In this work, it is assumed that these quantities are constant over the frequency range of interest; leading to a hysteretic-type damping model (Araujo et al, 2009a;DeVisscher et al, 1997). In this work, it is assumed that these quantities are constant over the frequency range of interest; leading to a hysteretic-type damping model (Araujo et al, 2009a;DeVisscher et al, 1997).…”

“…Constraints are also imposed on material parameters to ensure the positive definiteness of the elasticity matrices (Araujo et al, 2009a(Araujo et al, , 2009b. Constraints are also imposed on material parameters to ensure the positive definiteness of the elasticity matrices (Araujo et al, 2009a(Araujo et al, , 2009b.…”

Parameter Identification for Piezoelectric Material in a Piezoelectric Laminated Composite Beam Model

“…The finite element (FE) model is usually used to solve a series of direct problems in the combined numerical-experimental identification scheme because the FE model has been well developed in computational techniques and efficient computational software. Some methods based on FE model have been proposed to identify the mechanical and piezoelectric parameters of laminated structures [1][2][3][4][5]. Based on a partial differential equation (PDE) model, the framework of estimating mechanical and piezoelectric parameters for a system involving a circular plate bonded piezoceramic patches has been developed [6].…”