Various double component mode synthesis and sub-structuring methods for dynamic mixed FEM

Garambois, Pierre‐André; Besset, Sébastien; Jézéquel, L.

doi:10.1016/j.euromechsol.2015.04.005

Cited by 4 publications

(3 citation statements)

References 65 publications

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“…The reduction method used in this paper has been explained in [15,16]. The idea is to split the structure into few sub-structures, and reduce each of them separately in parallel, using the primal corresponding FEM, turning them into MSE.…”

Section: Sub-structuring Methodsmentioning

confidence: 99%

“…These methods have also been associated to build up a Double Modal Synthesis [22,3] with both sub-structures and junctions condensation. An adaptation of these displacement methods for MFEM has been imagined by the authors [15,16]. The principle is to build, for each sub-structure in parallel, a reduced basis, for the displacements with the existing primal methods, and a projection of the primal basis for the stresses.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Sub-structuring Methodsmentioning

confidence: 99%

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

Self Cite

View full text Add to dashboard Cite

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“…In the present case this corresponds to the assembled eigensolutions φ 1,2 . In a recent publication of Jezequel and Garambois [25], the authors proposed and compared several DCMS (Double Component Modes Synthesis) for the Hellinger-Reissner (displacement-stress) formulation in structural dynamics. The DCMS methods studied in [25] used various combinations of fixed, free and branch modes for the modal analysis of two components tied to each other.…”

Section: Improvement Vectors and Interface Reductionmentioning

confidence: 99%

Using singular value decomposition of component eigenmodes for interface reduction

Tournaire

Renaud

Dion

2018

Journal of Sound and Vibration

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The aim of this paper is to describe the development of a reduced order model for modal analysis in a design context. The design process of most industrial systems is based on the re-utilization of certain components. Here, we propose a reduction method involving component eigenmodes to recover the modal behaviour of an assembled structure. The contribution of this work is that it uses component eigenmodes to build an interface reduction basis. Lastly, the reduction methodology proposed is compared to the Craig and Bampton method by applying it to two case studies of which one is an industrial model of an open rotor blade.

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A model-updating approach based on the component mode synthesis method and perturbation analysis

Wang

Yan³

et al. 2018

Journal of Sound and Vibration

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Various double component mode synthesis and sub-structuring methods for dynamic mixed FEM

Cited by 4 publications

References 65 publications

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

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

Using singular value decomposition of component eigenmodes for interface reduction

A model-updating approach based on the component mode synthesis method and perturbation analysis

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