Linear and quadratic solid–shell finite elements SHB8PSE and SHB20E for the modeling of piezoelectric sandwich structures

Kpeky, Fessal; Abed‐Meraim, Farid; Boudaoud, Hakim; Daya, El Mostafa

doi:10.1080/15376494.2017.1285466

Cited by 24 publications

(24 citation statements)

References 67 publications

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“…The structure analyzed in this numerical section is similar to those analyzed in the works of Kioua & Mirza [58], and Kpeky et al [59]. The present single-and multi-model solutions are compared with a calculated three-dimensional FEM ABAQUS solution.…”

Section: Cantilevered Cylindrical Shell With Piezoelectric Skinssupporting

confidence: 51%

Electro-mechanical analysis of composite and sandwich multilayered structures by shell elements with node-dependent kinematics

Carrera

Valvano

Куликов

2018

International Journal of Smart and Nano Materials

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In this work, a new class of finite elements for the analysis of composite and sandwich shells embedding piezoelectric skins and patches is proposed. The main idea of models coupling is developed by presenting the concept of nodal dependent kinematics where the same finite element can present at each node a different approximation of the main unknowns by setting a nodewise through-the-thickness approximation base. In a global/local approach scenario, the computational costs can be reduced drastically by assuming refined theories only in those zones/nodes of the structural domain where the resulting strain and stress states, and their electro-mechanical coupling present a complex distribution. Several numerical investigations are carried out to validate the accuracy and efficiency of the present shell element. An accurate representation of mechanical stresses and electric displacements in localized zones is possible with reduction of the computational costs if an accurate distribution of the higherorder kinematic capabilities is performed. On the contrary, the accuracy of the solution in terms of mechanical displacements and electric potential values depends on the global approximation over the whole structure. The efficacy of the present node-dependent variable kinematic models, thus, depends on the characteristics of the problem under consideration as well as on the required analysis type. ARTICLE HISTORY

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Section: Cantilevered Cylindrical Shell With Piezoelectric Skinssupporting

confidence: 51%

Electro-mechanical analysis of composite and sandwich multilayered structures by shell elements with node-dependent kinematics

Carrera

Valvano

Куликов

2018

International Journal of Smart and Nano Materials

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“…For more details about the rotation of piezoelectric material coefficient matrices, the reader is referred to the studies of Kpeky et al (2017), Benjeddou et al (1997) and Kapuria and Hagedorn (2007).…”

Section: Refined 1d Electromechanical Modelmentioning

confidence: 99%

Analysis of beams with piezo-patches by node-dependent kinematic finite element method models

Carrera

Zappino

2017

Journal of Intelligent Material Systems and Structures

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This article presents a family of one-dimensional finite element method models with node-dependent kinematics for the analysis of beam structures with piezo-patches. The models proposed are built by applying Carrera unified formulation. Carrera unified formulation permits to obtain finite element method stiffness matrices through so-called fundamental nuclei whose form is independent of the assumptions made for the displacement/electrical field over the cross section of a beam. In the previous works, uniform kinematic assumptions have been applied to all the nodes within the same element. The present contribution proposes to use different kinematics on different nodes, leading to node-dependent kinematic finite element method formulations. In such an approach, non-uniform cross sections introduced by piezo-patches can be considered. With the help of layer-wise models, piezoelectric and mechanical domains each can possess individual constitutive relations. Meanwhile, node-dependent kinematics can integrate equivalent single layer models and layer-wise models to reach an optimal balance between accuracy and use of computational resources. Static governing equations for beam elements with node-dependent kinematics accounting for electromechanical effects are derived from the principle of virtual displacements. The competence of the proposed approach is validated by comparing the obtained results with solutions taken from the literature and ABAQUS three-dimensional modelling. Both extension and shear actuation mechanisms are considered.

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“…The above matrices are obtained by finite element discretization using both the recently developed piezoelectric solid-shell element SHB20E and the standard twenty-node piezoelectric solid element HEX20E. The formulation of the SHB20E solid-shell element is only briefly outlined hereafter; the interested reader may refer to [29] for the complete details.…”

Section: Discretization Of the Problemmentioning

confidence: 99%

“…A filter of Gaussian type is added to the circuit connecting the sensors to the actuators. The control law described by the function of this filter is given by the relation: (29) in which ω represents the frequency dependence, and 0 ω is the natural frequency of the mode around which the analysis is performed. The first three modes are also excited by a force 1000N F = .…”

Section: Control With Gauss Filtermentioning

confidence: 99%

“…In this paper, we propose a method that combines the solid-shell finite element concept [21][22][23][24] and the DIAMANT approach [25][26][27] to effectively solve vibration problems. Accordingly, the discretization of the resulting vibration problem is achieved using the quadratic piezoelectric solid-shell finite element SHB20E developed in [28,29]. The latter represents the extension to piezoelectric materials of the solid-shell element SHB20 proposed by Abed-Meraim et al [30], which shows a number of advantages and capabilities compared to its counterpart, the traditional twenty-node finite element resulting from a standard displacement-based formulation.…”

Section: Introductionmentioning

confidence: 99%

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Modeling of hybrid vibration control for multilayer structures using solid-shell finite elements

Kpeky¹,

Abed‐Meraim

Daya³

et al. 2017

Mechanics of Advanced Materials and Structures

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. This is an author-deposited version published in: https://sam.ensam.eu Handle ID: .http://hdl.handle.net/10985/17520 To cite this version :Fessal KPEKY, Farid ABED-MERAIM, El Mostafa DAYA, Ouro-Djobo SAMAH -Modeling of hybrid vibration control for multilayer structures using solid-shell finite elements -Mechanics of Abstract. A self-control method of vibrations is presented in this paper. This method combines the passive damping capabilities afforded by viscoelastic materials with the active control properties associated with piezoelectric materials. Active control is introduced, using the piezoelectric properties, in order to improve the reduction in vibration amplitudes that can be obtained by viscoelastic passive damping alone. To this end, a filter has been mounted between the sensors and actuators. The resulting nonlinear problem is discretized using the recently developed solid-shell finite element SHB20E, due to the advantages it offers in terms of accuracy and efficiency, as compared to standard finite elements with the same geometry and kinematics. In order to solve the discretized problem, a resolution method using DIAMANT approach is developed. A set of selective and representative numerical tests are performed on multilayer plates to demonstrate the interest of the proposed damping model.

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Linear and quadratic solid–shell finite elements SHB8PSE and SHB20E for the modeling of piezoelectric sandwich structures

Cited by 24 publications

References 67 publications

Electro-mechanical analysis of composite and sandwich multilayered structures by shell elements with node-dependent kinematics

Electro-mechanical analysis of composite and sandwich multilayered structures by shell elements with node-dependent kinematics

Analysis of beams with piezo-patches by node-dependent kinematic finite element method models

Modeling of hybrid vibration control for multilayer structures using solid-shell finite elements

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