This paper presents optimization of active, passive, and hybrid damping treatments in sandwich plates. A new
mixed layerwise finite element model has been developed for the analysis of sandwich laminated plates with a
viscoelastic core, laminated anisotropic face layers and piezoelectric sensor and actuator layers. Proportional
displacement and velocity feedback control laws are implemented to account for co-located active control. Optimization
of passive damping is conducted by maximizing modal loss factors, using as design variables the
viscoelastic core thickness and the constraining elastic layers ply thicknesses and orientation angles. Optimization
of the location of co-located sensor-actuator pairs is also conducted in order to maximize modal loss factors.
The optimization problem is solved using gradient-based techniques for passive damping and an implementation
of a Genetic Algorithm for the optimal location of sensor-actuator pairs.
An inverse method for material parameter estimation of elastic, piezoelectric and viscoelastic laminated plate
structures is presented. The method uses a gradient based optimization technique in order to solve the inverse
problem, through minimisation of an error functional which expresses the difference between experimental free
vibration data and corresponding numerical data produced by a finite element model. Applications are presented
using a simulated test case for an adaptive plate.
This paper addresses bending of multilayered cylindrical shells with piezoelectric properties using a semi-analytical axisymmetric shell finite element model with piezoelectric layers using the 3D linear elastic theory. In the present model, the equations of motion are derived by expanding the displacement field using the Fourier series in the circumferential direction. Thus, the 3D elasticity equations of motion are reduced to 2D equations involving circumferential harmonics. In the finite element formulation the dependent variables, electric potential and loading are expanded in truncated Fourier series. Special emphasis is given to the coupling between symmetric and anti-symmetric terms for laminated materials with piezoelectric rings. Numerical results obtained with the present model are found to be in good agreement with other finite element solutions.
This paper deals with the development of a general finite element formulation of the layerwise theory that was proposed and advanced by the first author for laminated plate structures with piezoelectric materials (layers or patches). The formulation includes full electromechanical coupling. Several approximations are used for the primary variables of the theory in the thickness direction and different interpolation schemes are considered in the surface directions. A very good agreement is obtained for the models using cubic approximation in the thickness direction. The advantages of these models on the prediction of layer stresses are fully illustrated.
In the present work, a finite element model based on the layerwise theory of Reddy is developed for laminated plates including piezoelectric layers or patches. Several interpolation schemes are considered and the results achieved are discussed by comparison with 3D elasticity analytical solutions.
In this work, refined finite element models based on higher order displacement fields have been developed to study the mechanical and electrical behavior of laminated composite plate structures with embedded and/or surface bonded piezoelectric actuators and sensors. Sensitivity analysis and optimization techniques are also applied in order to maximize the piezoelectric actuator efficiency, improve the structural performance and/or minimize the weight of the structure. To show the performance of the proposed models several illustrative and simple examples are presented.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.