Analysis of adaptive plate structures by mixed layerwise finite elements

Lage, R. Garcia; Soares, Carlos A. Mota; Reddy, J. N.

doi:10.1016/j.compstruct.2004.04.048

Cited by 26 publications

(5 citation statements)

References 23 publications

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“…This theory aims at overcoming the ESL shortcoming of allowing discontinuity of out-of-plane stresses on the interface layers. See for instance [29,30] for beams, [31][32][33][34][35] for plates, and [36] for shells. Note that an extensive assessment has been provided by Saravanos and Heyligher [10].…”

Section: Introductionmentioning

confidence: 99%

Forced vibration analysis of composite beams with piezoelectric layers based on the variable separation method

Infantes

Vidal

Castro-Triguero

et al. 2021

Composite Structures

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Section: Introductionmentioning

confidence: 99%

Forced vibration analysis of composite beams with piezoelectric layers based on the variable separation method

Infantes

Vidal

Castro-Triguero

et al. 2021

Composite Structures

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“…The use of mixed theorems has been popularized in the context of plate structures analysis, because it provides computational advantages for such representation. Many MFEMs have been implemented over the years for different theories such as 3D representations [28], 2D [19,34,35], plates [34,35,12,9,32], and multilayered and piezoelectric structures [5,6,2,17,18]. Wriggers' book [38] provides a wide range of application for MFEMs.…”

Section: Introductionmentioning

confidence: 99%

Multi-objective structural robust optimization under stress criteria based on mixed plate super-elements and genetic algorithms

Garambois

Besset

Jézéquel

2015

Struct Multidisc Optim

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International audienceThis paper presents a methodology for the multi-objective (MO) robust optimization of plate structures under stress criteria, based on Mixed Super-Elements (MSEs). The optimization is performed with a classical Genetic Algorithm (GA) method based on Pareto-optimal solutions. It considers antagonist objectives among them stress criteria and thickness parameters distributed along the plate. This work aims at providing fast and efficient objective calculations. Our method is based on the implementation of MSEs for each zone of the plate featured by its own thickness. They are constructed with a Mixed Finite Element Model (MFEM) based on a displacement-stress mechanical formulation , and is enhanced with a sub-structuring modal reduction method in order to reduce the size of each constant thickness MSE. Those methods combined enable a fast and stress-wise efficient structure analysis, which improves the performance of the repetitive GA. A few cases minimizing the mass and the maximum Von Mises stress within a plate structure under dynamic loads put forward the relevance of our method with promising results. For the sake of robustness, both discrete frequencies and frequency bands are studied. The MO optimization is able to satisfy multiple damage criteria with different thickness distributions. It brings simplicity, saves computational time and the Pareto-front presentation with stress objective provides a good overview of the possibilities for the designers. Keywords Multi-objective optimizations · Plate structural dynamic · Mixed Finite Element Model (MFEM) · Mixed Super-Element (MSE) · Sub-structuring modal methods · stress criteri

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“…As far as piezoelectric adaptive plate is concerned, mixed formulation has also proved to be efficient. Although primal models exist [9], and some of them fulfill interlaminar continuity implementation [16], the use of mixed Layerwise theory for piezoelectric adaptive structure has also proved to be of a high interest in static and modal analysis [39,40], thermodynamic analysis [10]. Carrera and Boscolo's article [20] shows an extension to electro-mechanical piezoelectric plate problems of a previously cited article by Carrera [21,22] on both primal and mixed FEM for multilayered plate elements using both ESL and LWM theories.…”

Section: Introductionmentioning

confidence: 99%

A new component mode synthesis for dynamic mixed thin plate finite element models

2015

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International audienceThis paper presents a methodology for the reduction in dynamic mixed finite element models (DM-FEMs) based on the use of a sub-structuring primal methods adapted to such models. We implement a DM-FEM for Kirchhoff–Love thin plates using the Hellinger–Reissner variational mixed formulation adapted to dynamic, and give a quick insight of its convergence. This model uses both displacement and generalized stress fields within the plate, obtained as a primary result, but the numerical size of the model is bigger than with a primal displacement model. Thus, we choose to offset this complication by reducing the model with a totally new sub-structuring reduction method, especially adapted to DM-FEMs. The aim of our method is to adapt sub-structuring reduction methods commonly used for primal displacement FEM only (such as Craig and Bampton method) and split the reduction in the two fields. With these displacement methods, the whole structure is splitted into few smaller ones, and each of them is condensed with eigenmodes of the substructure and static connections between them. The principle of our method is to build, for each substructure, a reduced basis for the displacements according to the existing method, and a projection of the primal basis for the stresses. A new reduced basis for the whole mixed model is then built up exclusively with modes taken from the primal model. That method reduces significantly the number of degrees of freedom and keeps the properties and advantages of the mixed formulation

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Analysis of adaptive plate structures by mixed layerwise finite elements

Cited by 26 publications

References 23 publications

Forced vibration analysis of composite beams with piezoelectric layers based on the variable separation method

Forced vibration analysis of composite beams with piezoelectric layers based on the variable separation method

Multi-objective structural robust optimization under stress criteria based on mixed plate super-elements and genetic algorithms

A new component mode synthesis for dynamic mixed thin plate finite element models

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