Large deflection analysis of thermo-mechanical loaded annular FGM plates on nonlinear elastic foundation via DQM

Sepahi, O.; Forouzan, Mohammad Reza; Malekzadeh, P.

doi:10.1016/j.compstruct.2010.03.011

Cited by 68 publications

(22 citation statements)

References 23 publications

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“…Solve equation (27) and the associated boundary conditions (26) to find w which is taken as the initial value * w to be used in the 1st round of iteration.…”

Section: Solution Proceduresmentioning

confidence: 99%

“…elastic foundations and thermo-mechanical loading on axisymmetric large deflection response of a simply supported annular FGM plate are discussed by Sepahi et al [26]. Komijani et al given an analysis of buckling and post-buckling and small amplitude vibrations in the pre/post-buckling regimes of functionally graded beams resting on a nonlinear elastic foundation and subjected to inplane thermal loads [27].…”

Section: Introductionmentioning

confidence: 99%

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Thermal effect on the pull-in instability of functionally graded micro-beams subjected to electrical actuation

Jia

Zhang

et al. 2014

Composite Structures

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Thermal effect on the pull-in instability of functionally graded micro-beams subjected to electrical actuation, Composite Structures (2014), doi: http://dx.doi.org/10. 1016/j.compstruct.2014.05.004 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.Thermal effect on the pull-in instability of functionally graded micro-beams subjected to electrical actuation Abstract. The thermal effect on the pull-in instability of functionally graded micro-beams under the combined electrostatic force, temperature change and Casimir force is studied based on Euler-Bernoulli beam theory and von Kármán geometric nonlinearity. Take into consideration the temperaturedependency of the effective material properties, the Voigt model and exponential distribution model is used to simulate the material properties of the functionally graded materials (FGMs). Principle of virtual work is used to derive the nonlinear governing differential equation which is then solved using the differential quadrature method (DQM). A parametric study is conducted to show the significant effects of material composition, temperature change, geometric nonlinearity and Casimir force. Keywords:Functionally graded materials; Micro-beam; Temperature change; Pull-in instability; Casimir force * Corresponding author, Ph. D, E-mail address: xljia@cup.edu.cn Tel: +86 10 89733762 IntroductionMicro-Electro-Mechanical Systems (MEMS) can be defined as systems of small dimensions fulfilling a smart function. The devices are typically designed to operate in one or more energy domains due to their unique advantages such as small size, lower power consumption, lower operation cost, increased reliability and higher precision. With MEMS are used more and more widely due to their unique advantages, such as small size, lower power consumption, lower operation cost, increased reliability and higher precision, numerous analytical, numerical and experimental studies have been conducted on the pull-in instability of the MEMS devices [1][2][3][4][5].Most recently, the use of functionally graded materials (FGMs) in MEMS structures has been proposed by Craciunescu and Wuttig [6] and Fu et al. [7], since FGMs offer many advantages including improved stress distribution, enhanced thermal resistance, higher fracture toughness, and reduced stress intensity factors that make them very attractive in many engineering applications [8]. Specially, Witvrouw and his co-workers [9, 10] developed a multilayer polySiGe deposition process for fabricating MEMS structural layers that fulfill all material and economical requirements.Along with the development of technology, MEMS are expected to ...

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“…Solve equation (27) and the associated boundary conditions (26) to find w which is taken as the initial value * w to be used in the 1st round of iteration.…”

Section: Solution Proceduresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal effect on the pull-in instability of functionally graded micro-beams subjected to electrical actuation

Jia

Zhang

et al. 2014

Composite Structures

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“…They employed arc-length method, combined with the modified Newton-Raphson method. Sepahi et al [14] analyzed large deflection of annular FGM plates on nonlinear elastic foundation under thermo-mechanical load with nonlinear von Karman assumptions using differential quadrature method. Liao-Liang et al [15] studied the nonlinear vibration of FG beams using Galerkin method.…”

Section: Introductionmentioning

confidence: 99%

Geometrically nonlinear dynamic analysis of functionally graded thick hollow cylinders using total Lagrangian MLPG method

2015

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In this article, geometrically nonlinear transient analysis based on the meshless local Petrov-Galerkin method (MLPG) is presented for functionally graded material thick hollow cylinders with infinite length subjected to a mechanical shock loading. The cylinder is assumed to be axisymmetric and in plane strain conditions. The mechanical properties of functionally graded cylinder are assumed to vary across the thickness. In MLPG analysis, the total Lagrangian formulation, radial base function, and Heaviside test function are used for approximation of displacement field in the weak form of the equation of motion. The system nonlinear equations are solved by Newmark finite difference and Newton-Raphson iteration methods. The time history of the radial displacement and stress for various values of the power law exponents, radii and thicknesses are investigated. The effects of different loading types and also the duration of loading on the dynamic behaviors of displacement and stress fields are obtained and discussed in details. Moreover, the obtained results from nonlinear analysis are compared with those obtained from linear analysis.

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“…Besides this, Sepahi et al [11] analyzed the effects of big deflection of thermo-mechanical loaded annular FGM plates on nonlinear elastic foundation using the differential quadrature method. Geometrically nonlinear post-buckling of an imperfect circular FGM plate was studied by Li et al [12] [14].…”

Section: Introductionmentioning

confidence: 99%

An Axisymmetric Bending Analysis of Functionally Graded Annular Plate Under Transverse Load via Generalized Differential Quadrature Method

Hamad¹

2013

IJRET

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Large deflection analysis of thermo-mechanical loaded annular FGM plates on nonlinear elastic foundation via DQM

Cited by 68 publications

References 23 publications

Thermal effect on the pull-in instability of functionally graded micro-beams subjected to electrical actuation

Thermal effect on the pull-in instability of functionally graded micro-beams subjected to electrical actuation

Geometrically nonlinear dynamic analysis of functionally graded thick hollow cylinders using total Lagrangian MLPG method

An Axisymmetric Bending Analysis of Functionally Graded Annular Plate Under Transverse Load via Generalized Differential Quadrature Method

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