Strain based finite element for the vibration of cylindrical panels with openings

Djoudi, M. S.; Bahai, H.

doi:10.1016/j.tws.2003.09.003

Cited by 21 publications

(10 citation statements)

References 17 publications

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“…The final displacement functions are obtained by adding the corresponding expressions for u, v and f from Eqs. (2) and (4) to Eqs. (7).…”

Section: Derivation Of Displacement Function For Sector Elementmentioning

confidence: 99%

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Sektorski element za analizu debelih cijevi izloženih unutarnjem pritisku i promjeni temperature

2015

JCE

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The strain-based approach for development of a sector in-plane finite element defined in the polar coordinate system is applied in the paper. The element is used for determining the plane state in elastic area. The developed element has three degrees of freedom in each node. The performance of this element was tested through analysis of thick cylinders exposed to internal pressure and change of temperature. The efficiency of the element was established, and the convergence of results for stresses and displacements of this element was shown to be faster compared to other elements.

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“…The final displacement functions are obtained by adding the corresponding expressions for u, v and f from Eqs. (2) and (4) to Eqs. (7).…”

Section: Derivation Of Displacement Function For Sector Elementmentioning

confidence: 99%

“…The strain based approach has recently been cited in literature [1][2][3] with respect to the development of new finite elements, in which the displacement field can be obtained by strain integration. For plane stress problems, the simplest element shapes are obviously the triangle and rectangle with three or four nodes, respectively.…”

Section: Introductionmentioning

confidence: 99%

Sektorski element za analizu debelih cijevi izloženih unutarnjem pritisku i promjeni temperature

2015

JCE

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“…One of these alternatives is based on the assumed deformation (assumed strain-based model) model. Djoudi and Bahai [7,17] presented the ideas of the model for cylindrical shallow shells employing the theory of shells by Donnell [18]. The finite element CYS employed in this work is based on the philosophy of the assumed deformation model and was initially proposed by Djoudi and Bahai [7,17].…”

Section: Cylindrical Shell Finite Elementmentioning

confidence: 99%

Parametric Modeling of Static Three-Dimensional Problem of Buried Pipeline through the Coupling between a Finite Cylindrical Shell Element and Special Boundary Elements

Menezes¹,

Salvino²,

Santos³

et al. 2015

JCEA

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This work deals with an application in parametric modeling of problems regarding pipelines buried in static system, written in C++ using ObjectARX functions. The application is fully integrated with AutoCAD through saproms.dll and saproms.arx libraries where the stages of pre-processing, processing and post-processing are done in AutoCAD software environment itself without having to export data to another processing environment. The analysis processing is done by functions whose algorithms are based on the solution of the coupling between the FEM (finite element method) and the BEM (boundary element method). The representation of the homogeneous pipeline is made by the FEM using a finite element in the form of a cylindrical panel called CYS (cylindrical shell), developed from the homogeneous isotropic model proposed initially by Djoudi Bahai, who uses the philosophy of the assumed deformation model (assumed strain based model). The soil is taken to be a continuum infinite or semi-infinite elastic solid patterned by BEM where special boundary elements are proposed with curved surface or curved edges to represent the soil-structure interaction mainly in the areas of contact with the pipeline.

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“…Chen et al (2004) studied the free vibration of simply supported, fluid-filled orthotropic functionally graded cylindrical shells with arbitrary thickness. Djoudi and Bahai (2004) investigated the effect of cutouts on the dynamic behavior of cylindrical panels, using a strain based finite element method. Liew et al (2006) studied the linear and nonlinear vibration of a three layer coating FGM substrate cylindrical panel with general boundary conditions and subjected to a temperature gradient across the thickness.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of functionally graded fiber reinforced cylindrical panels by a three dimensional mesh-free model

Soltanimaleki

Foroutan

Alihemmati

2016

Journal of Vibration and Control

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In this paper, free vibration analysis of functionally graded fibers reinforced cylindrical panels is carried out by a three-dimensional mesh free model. Moving least squares shape functions in cylindrical coordinates are used for approximation of displacement field in the weak form of motion equations. Two kinds of variations of the mechanical properties in the thickness direction are considered. In the first model the fibers are assumed to be oriented in the axial direction and volume fractions of the fibers and matrix are changed continuously according to the power-law distribution. In the second model the volume fractions of constituents are constant and the fibers orientation is changed continuously in the thickness direction according to the power-law distribution. For each model various boundary conditions are considered and effects of boundary conditions, fibers orientation, exponent of volume fractions and the panel geometry on the natural frequencies are investigated.

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Strain based finite element for the vibration of cylindrical panels with openings

Cited by 21 publications

References 17 publications

Sektorski element za analizu debelih cijevi izloženih unutarnjem pritisku i promjeni temperature

Sektorski element za analizu debelih cijevi izloženih unutarnjem pritisku i promjeni temperature

Parametric Modeling of Static Three-Dimensional Problem of Buried Pipeline through the Coupling between a Finite Cylindrical Shell Element and Special Boundary Elements

Free vibration analysis of functionally graded fiber reinforced cylindrical panels by a three dimensional mesh-free model

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