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相关论文: Nonlinear free flexural vibrations of functionally…

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In this paper, the linear free flexural vibrations of functionally graded material plates with a through center crack is studied using an 8-noded shear flexible element. The material properties are assumed to be temperature dependent and…

数值分析 · 数学 2011-07-21 S Natarajan , PM Baiz , M Ganapathi , P Kerfriden , S Bordas

In this paper, the linear free flexural vibration behaviour of functionally graded (FG) size-dependent nanoplates are investigated using the finite element method. The field variables are approximated by non-uniform rational B-splines. The…

数值分析 · 数学 2012-03-19 S. Natarajan , S. Chakraborty , M. Thangavel

In this paper, a non-uniform rational B-spline based iso-geometric finite element method is used to study the static and dynamic characteristics of functionally graded material (FGM) plates. The material properties are assumed to be graded…

In this paper, equilibrium and stability equations of functionally graded material (FGM) plate under thermal environment are formulated based on isogeometric analysis (IGA) in combination with higher-order shear deformation theory (HSDT).…

计算工程、金融与科学 · 计算机科学 2015-11-05 Loc V. Tran , Phuc Phung-Van , Jaehong Lee , H. Nguyen-Xuan , M. Abdel Wahab

In this paper, the bending and the free flexural vibration behaviour of sandwich functionally graded material (FGM) plates are investigated using QUAD-8 shear flexible element developed based on higher order structural theory. This theory…

数值分析 · 数学 2012-04-11 S. Natarajan , M. Ganapathi

In this paper, a cell based smoothed finite element method with discrete shear gap technique is employed to study the static bending, free vibration, mechanical and thermal buckling behaviour of functionally graded material (FGM) plates.…

数值分析 · 数学 2013-06-21 S Natarajan , AJM Ferreira , S Bordas , E Carrera , M Cinefra , AM Zenkour

In this paper, the effect of a centrally located cutout (circular and elliptical) and cracks emanating from the cutout on the free flexural vibration behaviour of functionally graded material plates in thermal environment is studied. The…

In this paper, the linear free flexural vibration of cracked functionally graded material plates is studied using the extended finite element method. A 4-noded quadrilateral plate bending element based on field and edge consistency…

数值分析 · 数学 2011-07-21 S Natarajan , PM Baiz , S Bordas , T Rabczuk , P Kerfriden

In this article, we study the free vibration and the mechanical buckling of plates using a three dimensional consistent approach based on the scaled boundary finite element method. The in-plane dimensions of the plate are modeled by…

数值分析 · 数学 2017-01-12 Tingsong Xiang , Sundararajan Natarajan , Hou Man , Chongmin Song , Wei Gao

Functionally graded materials (FGMs) represent a promising class of advanced materials designed with tailored microstructures to achieve optimized mechanical, thermal, and functional properties across varying gradients. The strategic…

材料科学 · 物理学 2024-04-18 Ehsan Jebellat , Iman Jebellat

The paper studies oscillations of graphene plates under the hypothesis that deformations are much more than the thickness of plate. In this most realistic case the oscillations are described by the system of nonlinear partial differential…

经典物理 · 物理学 2020-05-11 Yuriy Ostapov

A novel and effective formulation that combines the eXtended IsoGeometric Approach (XIGA) and Higher-order Shear Deformation Theory (HSDT) is proposed to study the free vibration of cracked Functionally Graded Material (FGM) plates. Herein,…

计算工程、金融与科学 · 计算机科学 2014-03-04 Loc V. Tran , Vinh Phu Nguyen , M. Abdel Wahab , H. Nguyen-Xuan

In this paper a new integral equation solution to the elastic-plastic problem of functionally graded bars under torsional loading is presented. The formulation is general in the sense that it can be applied to an arbitrary cross-section…

数值分析 · 数学 2017-05-30 George C. Tsiatas , Nick G. Babouskos

In this paper, a cell-based smoothed finite element method with discrete shear gap technique for triangular ele- ments is employed to study the linear flutter characteristics of functionally graded material (FGM) flat panels. The influence…

数值分析 · 数学 2013-09-04 Sundararajan Natarajan , Karthik Kaleeswaran , Ganapathi Manickam

In this paper, I presented the analysis and numerical results for free transverse vibration of thin rectangular plates having arbitrarily varying non-homogeneity with the in-plane coordinates along the two concurrent edges. For finding the…

经典物理 · 物理学 2018-10-16 Avinash Kumar

Functionally graded material (FGM) is a class of advanced materials, consisting of two (or more) different constituents, that possesses a continuously varying composition profile. With the advancement of nanotechnology, applications of FGMs…

We investigate the nonlinear vibrations of a functionally graded dielectric elastomer plate subjected to electromechanical loads. We focus on local and global dynamics in the system. We employ the Gent strain energy function to model the…

软凝聚态物质 · 物理学 2024-06-28 Amin Alibakhshi , Sasan Rahmanian , Michel Destrade , Giuseppe Zurlo

We investigate the numerical implementation of functionally graded properties in the context of the finite element method. The macroscopic variation of elastic properties inherent to functionally graded materials (FGMs) is introduced at the…

计算物理 · 物理学 2019-01-18 Emilio Martínez-Pañeda

An exact solution based on a unique procedure is presented for free vibration of stepped circular and annular functionally graded (FG) plates via first-order shear deformation plate theory of Mindlin. A power-law distribution of the volume…

偏微分方程分析 · 数学 2018-11-02 Masoud Derakhshani , Shahrokh Hosseini-Hashemi , Mohammad Fadaee

In this paper, the axial vibration of cracked beams, the free flexural vibrations of nanobeams and plates based on Timoshenko beam theory and first-order shear deformable plate theory, respectively, using Eringen's nonlocal elasticity…

数值分析 · 数学 2012-03-20 S. Natarajan , T. Rabczuk , S. Bordas , D. Roy Mahapatra
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