A mixed MLS and Hermite-type MLS method for buckling and postbuckling analysis of thin plates

Hilali, Youssef; Bourihane, Oussama

doi:10.1016/j.istruc.2021.05.086

Cited by 13 publications

(11 citation statements)

References 32 publications

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“…The aim of this work is to introduce the spectral method in the HOCM. Latterly, the HOCM with meshless methods such as MLS, WLS, or RPIM has been applied successfully for the resolution of nonlinear problems written under a strong form 19,20,24,25 or a weak form 14,15 . In this investigation, we propose to couple the spectral Chebyshev method as a discretization technique with the HOCM.…”

Section: Description Of Spectral Chebyshev Methodsmentioning

confidence: 99%

“…Latterly, the HOCM with meshless methods such as MLS, WLS, or RPIM has been applied successfully for the resolution of nonlinear problems written under a strong form 19,20,24,25 or a weak form. 14,15 In this investigation, we propose to couple the spectral Chebyshev method as a discretization technique with the HOCM. The introduction of this method allows us to avoid the difficulties lied to the implementation of boundary conditions.…”

Section: Description Of Spectral Chebyshev Methodsmentioning

confidence: 99%

“…In addition, the use of beam model, which takes into account the nonlinear term neglected in several works of the literature, permits us to analyze buckling and bending problems by using the classical Timoshenko model and to handle the boundary conditions that several works could not to take into account. The HOCM has been coupled with meshless methods successfully in several works such as the moving least squares (MLS), 14,15 the method of fundamental solutions (MFS), [16][17][18] and the radial point interpolation method (RPIM). 19,20 The SCDQM has been also used in several works and showed its ability and efficiency in the computation of FG porous plates reinforced by graphene platelets.…”

Section: Introductionmentioning

confidence: 99%

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Spectral Chebyshev method coupled with a high order continuation for nonlinear bending and buckling analysis of functionally graded sandwich beams

Mesmoudi

Askour

Rammane

et al. 2022

Numerical Meth Engineering

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The main objective of the present work is to couple the spectral Chebyshev differential quadrature method (SCDQM) to the high order continuation method (HOCM) which was proposed in previous works with several discretization techniques. This new approach (SCDQM-HOCM) is proposed to analyze the nonlinear bending and buckling analysis of functionally graded sandwich beams.The originality of this work consists also to use a beam model which taken into account the nonlinear term neglected in several works of the literature. This term makes it possible to have the buckling and bending problems by using the classical Timoshenko model and to handle the boundary conditions that several works could not to take into account. A strong form of nonlinear equations is established based on the first order shear deformation theory of beams with the von-Kármán kinematic hypothesis. Regarding functionally graded materials (FGM), two typical types are investigated: sandwich beam with FGM faces and ceramic core (Type-A), and sandwich beam with FGM core and uniform faces (Type-B). The accuracy and efficiency of the SCDQM-HOCM compared with finite element method coupled with high order continuation method (FEM-HOCM) are illustrated on numerical examples of the FGM beams and then the FG sandwich beams. Furthermore, a parametric study is led to carry out the influence of different skin-core-skin thickness ratios, span-to-height ratio, and volume fraction on the bending and buckling behavior of FG sandwich beams subjected to different loadings and various boundary conditions. K E Y W O R D Sfirst order shear deformation theory, geometrically nonlinear Timoshenko FGM beam, high order continuation method, sandwich Timoshenko FGM beam, spectral Chebyshev differential quadrature method

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Section: Description Of Spectral Chebyshev Methodsmentioning

confidence: 99%

Section: Description Of Spectral Chebyshev Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spectral Chebyshev method coupled with a high order continuation for nonlinear bending and buckling analysis of functionally graded sandwich beams

Mesmoudi

Askour

Rammane

et al. 2022

Numerical Meth Engineering

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“…3. The common weight functions include the spline weight function and the Gaussian weight function [28,29]. When Gaussian weight function is used for the moving least squares surface fitting, the width of a single kernel is difficult to meet the feature requirements of the whole model.…”

Section: ) the Fitting Functionmentioning

confidence: 99%

An Improved Poisson Surface Reconstruction Algorithm based on the Boundary Constraints

Liu¹,

Wang²,

Tahir³

et al. 2023

IJACSA

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The usage of the point cloud surface reconstruction to generate high-precision 3D models has been widely applied in various fields. In order to deal with the problems of insufficient accuracy, pseudo-surfaces and high time cost caused by the traditional surface reconstruction algorithms of the point cloud data, this paper proposes an improved Poisson surface reconstruction algorithm based on the boundary constraints. For large density point cloud data obtained from 3D laser scanning, the proposed method firstly uses an octree instead of the KD-tree to search the near neighborhood; then, it uses the Open Multi-Processing (OpenMP) to accelerate the normal estimation based on the moving least squares algorithm; meanwhile, the leastcost spanning tree is employed to adjust the consistency of the normal direction; and finally a screened Poisson algorithm with the Neumann boundary constraints is proposed to reconstruct the point cloud. Compared with the traditional methods, the experiments on three open datasets demonstrated that the proposed method can effectively reduce the generation of pseudosurfaces. The reconstruction time of the proposed algorithm is about 16% shorter than that of the traditional Poisson reconstruction algorithm, and produce better reconstruction results in the term of quantitative analysis and visual comparison.

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“…The principal particulars of the four case study grillages are summarised in Table (4). The dimensionless parameters of each grillage are summarised in Table (5). Note that an elastic perfectly plastic material behaviour is assumed.…”

Section: Model Characteristicsmentioning

confidence: 99%

A comparison of geometric imperfection models for collapse analysis of ship-type stiffened plated grillages

Georgiadis

Kim

et al. 2022

Engineering Structures

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A mixed MLS and Hermite-type MLS method for buckling and postbuckling analysis of thin plates

Cited by 13 publications

References 32 publications

Spectral Chebyshev method coupled with a high order continuation for nonlinear bending and buckling analysis of functionally graded sandwich beams

Spectral Chebyshev method coupled with a high order continuation for nonlinear bending and buckling analysis of functionally graded sandwich beams

An Improved Poisson Surface Reconstruction Algorithm based on the Boundary Constraints

A comparison of geometric imperfection models for collapse analysis of ship-type stiffened plated grillages

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