Optimal control of piezoelectric anisotropic plates

This paper is concerned with the application of optimal control techniques to a static piezoelectric anisotropic thin plate model. To take physical limitations into account, the space of electric potential fields is restricted, i.e., control constraints are imposed. After deriving the first-order necessary conditions for the problem, a primal-dual active set strategy for its solution is presented. In a numerical study we consider a plate composed of two layers of different piezoelectric materials. We investigate the abilities of our approach and the influence of certain parameters

Optimal control of piezoelectric anisotropic plates

This paper is concerned with the application of optimal control techniques to a static piezoelectric anisotropic thin plate model. To take physical limitations into account, the space of electric potential fields is restricted, i.e., control constraints are imposed. After deriving the first-order necessary conditions for the problem, a primal-dual active set strategy for its solution is presented. In a numerical study we consider a plate composed of two layers of different piezoelectric materials. We investigate the abilities of our approach and the influence of certain parameters

A Generalized Piezoelectric Bernoulli–Navier Anisotropic Rod Model

Abstract We apply the asymptotic analysis procedure to the three-dimensional static equations of piezoelectricity, for a linear nonhomogeneous anisotropic thin rod. We prove the weak convergence of the rod mechanical displacement vectors and the rod electric potentials, when the diameter of the rod cross-section tends to zero. This weak limit is the solution of a new piezoelectric anisotropic nonhomogeneous rod model, which is a system of coupled equations, with generalized Bernoulli–Navier equilibrium equations and reduced Maxwell–Gauss equations

A piezoelectric anisotropic plate model

We mathematically justify a reduced piezoelectric plate model. This is achieved considering the three-dimensional static equations of piezoelectricity, for a nonhomogeneous anisotropic thin plate, and using the asymptotic analysis to compute the limit of the displacement vector and electric potential, as the thickness of the plate approaches zero. We prove that the three-dimensional displacement vector converges to a Kirchhoff-Love displacement, that solves a two-dimensional piezoelectric plate model, defined on the middle surface of the plate. Moreover, the three-dimensional electric potential converges to a scalar function that is a second order polynomial with respect to the thickness variable, with coefficients that depend on the transverse component of the Kirchhoff-Love displacement. We remark that the results of this paper generalize a previous work of A. Sene (2001) for homogeneous and isotropic materials

Pamplona. Plaza Príncipe de Viana

En el reverso: Ediciones García Garrabella (Prohibida la reproducción); 25. Pamplona: Plaza del Principe de Viana. Prince of Viana Circus. Place du Prince de Viana.Plaza Principe de Viana. Al fondo, la avenida de San Ignacio, entre la casa de Galarreta de Mariano Arteaga, a la izquierda, y la casa de los hermanos López, proyecto de Yárnoz.1940 - 196

Dissimilarity Measure of Consecutive Frames in Wireless Capsule Endoscopy Videos: A Way of Searching for Abnormalities

In a previous work we have shown that the curve representing the dissimilarity measure between consecutive frames of a wireless capsule endoscopic video of the small bowel, obtained by means of an image registration method, can be regarded as a rough indicator of the speed of the capsule, and simultaneously, it is also a valuable auxiliary medical tool. In effect, this curve enables a global and fast interpretation of the video, in the sense that it clearly divides the video frames into two main categories: consecutive frames with similar content, which correspond to low values in the curve, and consecutive frames displaying abrupt changes in the image content, which are depicted by peaks, i.e. high values, in the curve. As the main goal of a wireless capsule video examination consists in searching for abnormal features in the images, the purpose of the present work is to analyse whether this curve can also be used to search, quickly, for abnormalities. The experiments performed focus on bleeding identification in small bowel images