Analysis of primal and dual variables in structural shape control by piezoelectric patches using solid-shell finite elements

This paper presents an assessment of the performances of new piezoelectric solid−shell finite elements. Compared to conventional solid and shell elements, the solid–shell concept reveals to be very attractive, due to a number of well-established advantages and computational capabilities. This paper focuses on two element formulations, denoted SHB15E and SHB20E, which represent a quadratic prismatic solid−shell element and its hexahedral counterpart, respectively. The current analysis consists in an evaluation of primal and dual variables during the process of shape control of structures. The interest in this solid–shell approach is shown through a set of selective and representative plate and shell benchmark problems. The results obtained by the proposed formulations are compared with those given by state-of-the-art piezoelectric elements available in ABAQUS

Modélisation par élements finis des vibrations non linéaires d'une poutre sandwich à coeur viscoélastique

On présente une méthode de calcul de vibration non linéaire de poutre sandwich viscoélastique. Le mode de vibration non linéaire est approché par le mode linéaire en couplant la technique de la balance harmonique à la méthode de Galerkin. Une équation d’amplitude complexe est alors établie.La méthode développée ici utilise un mode amorti et a été étendue à l’hypothèse d’un mode non amorti. Il ressort l’influence du facteur de perte du cœur viscoélastique sur le choix de la base de Galerkin

A multiscale approach for the vibration analysis of heterogeneous materials: Application to passive damping

International audienceThis paper presents a multiscale numerical technique for vibration analysis of hetero-geneous materials. In this procedure, the unknownmacroscopic constitutive relationship is searched by solving a local finite element problem at the microscale. Since the inertia effects areneglected at the microscopic level, this approach is limited to problems in which microstructure characteristic length is smaller than thewavelength. Numerical examples are limited to free vibration analysis of viscoelastic materials with a constant complex modulus. Theseexamples allow one to validate the multiscale approach and to study the influence of different parameters on the passive damping of thestructure. These parameters concern the morphology, the stiffness ratio and the inclusion volume fraction

Vibration modeling of sandwich structures using solid-shell finite elements

The aim of this work is to propose a new finite element modeling for vibration of sandwich structures with soft core. Indeed, several approaches have been adopted in the literature to accurately model these types of structures, but show some limitations in certain configurations of high contrast of material properties or geometric aspect ratios between the different layers. In these situations, it is generally well-known that the use of higher-order or three-dimensional finite elements is more appropriate, but will generate a large number of degrees of freedom, and thereby, large CPU times. In this work, an alternative method is followed by considering the linear hexahedral solid-shell element previously developed by Abed-Meraim and Combescure [1]. This element is implemented into the commercial software ABAQUS Via a User Element (UEL) subroutine. Numerical tests on various cantilever sandwich beams are performed to show the efficiency of this approach

Vibration modeling of sandwich structures using solid-shell finite elements

The aim of this work is to propose a new finite element modeling for vibration of sandwich structures with soft core. Indeed, several approaches have been adopted in the literature to accurately model these types of structures, but show some limitations in certain configurations of high contrast of material properties or geometric aspect ratios between the different layers. In these situations, it is generally well-known that the use of higher-order or three-dimensional finite elements is more appropriate, but will generate a large number of degrees of freedom, and thereby, large CPU times. In this work, an alternative method is followed by considering the linear hexahedral solid-shell element previously developed by Abed-Meraim and Combescure [1]. This element is implemented into the commercial software ABAQUS Via a User Element (UEL) subroutine. Numerical tests on various cantilever sandwich beams are performed to show the efficiency of this approach

New linear and quadratic prismatic piezoelectric solid–shell finite elements

In this work, we propose two prismatic piezoelectric solid–shell elements based on fully three-dimensional kinematics. For this purpose, we perform electromechanical coupling, which consists in adding an electrical degree of freedom to each node of the purely mechanics-based versions of these elements. To increase efficiency, these geometrically three-dimensional elements are provided with some desirable shell features, such as a special direction, designated as the thickness, along which the integration points are located, while adopting a reduced integration rule in the other directions. To assess the performance of the proposed piezoelectric solid–shell elements, a variety of benchmark tests, both in static and vibration analysis, have been performed on multilayer structures ranging from simple beams to more complex structures involving geometric nonlinearities. Compared to conventional finite elements with the same kinematics, the evaluation results allow highlighting the higher performance of the newly developed solid–shell technology

Analysis of primal and dual variables in structural shape control by piezoelectric patches using solid-shell finite elements

This paper presents an assessment of the performances of new piezoelectric solid−shell finite elements. Compared to conventional solid and shell elements, the solid–shell concept reveals to be very attractive, due to a number of well-established advantages and computational capabilities. This paper focuses on two element formulations, denoted SHB15E and SHB20E, which represent a quadratic prismatic solid−shell element and its hexahedral counterpart, respectively. The current analysis consists in an evaluation of primal and dual variables during the process of shape control of structures. The interest in this solid–shell approach is shown through a set of selective and representative plate and shell benchmark problems. The results obtained by the proposed formulations are compared with those given by state-of-the-art piezoelectric elements available in ABAQUS