Nonlinear thermal stability and vibration of pre/post-buckled temperature- and microstructure-dependent functionally graded beams resting on elastic foundation

Komijani, M.; Esfahani, S.E.; Reddy, J. N.; Liu, Y.P.; Eslami, Mohammad H.

doi:10.1016/j.compstruct.2014.01.041

Cited by 93 publications

(45 citation statements)

References 53 publications

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“…It should be noted that discarding the geometrically nonlinear terms in equation (24) leads to the following equations without the effect of geometric nonlinearity V and pull-in deflection PI w , when exists, can be determined from equations (24) and (26) and from equations (27) and (26) , which is the linear part in the Taylor series expansion of i q . 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%

“…(2) Substituting * = w w into equation (25) to obtain a new force vector q and expressing equations (26)- (27) with this updated q in matrix equation yields = Kw q .…”

Section: Solution Proceduresmentioning

confidence: 99%

“…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%

“…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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Section: Solution Proceduresmentioning

confidence: 99%

“…(2) Substituting * = w w into equation (25) to obtain a new force vector q and expressing equations (26)- (27) with this updated q in matrix equation yields = Kw q .…”

Section: Solution Proceduresmentioning

confidence: 99%

“…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%

See 2 more Smart Citations

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 buckling can possess a destructive influence on the safety of structures, and hence it is regarded as an undesired phenomenon in several studies [29,30]. Referring to the thermo-mechanical analysis of size-dependent beam structures, the prediction of buckling behavior of size-dependent microbeams made of FGMs including thermal environment effects is studied by Sahmani and Ansari [31].…”

Section: Introductionmentioning

confidence: 99%

Electromechanical buckling behavior of smart piezoelectrically actuated higher-order size-dependent graded nanoscale beams in thermal environment

Ebrahimi

Barati

2016

International Journal of Smart and Nano Materials

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In the present work, thermo-electro-mechanical buckling behavior of functionally graded piezoelectric (FGP) nanobeams is investigated based on higher-order shear deformation beam theory. The FGP nanobeam is subjected to four types of thermal loading including uniform, linear, and sinusoidal temperature rise as well as heat conduction through the beam thickness. Thermo-electromechanical properties of FGP nanobeam are supposed to change continuously in the thickness direction based on power-law model. To consider the influences of small-scale sizes, Eringen's nonlocal elasticity theory is adopted. Applying Hamilton's principle, the nonlocal governing equations of an FGP nanobeam in thermal environments are obtained and are solved using Naviertype analytical solution. The significance of various parameters, such as thermal loadings, external electric voltage, power-law index, nonlocal parameter, and slenderness ratio on thermal buckling response of size-dependent FGP nanobeams is investigated. ARTICLE HISTORY

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Dynamics of Axially Functionally Graded Timoshenko Beams on Linear Elastic Foundation

Lohar

Mitra

Sahoo³

2021

Materials Horizons: From Nature to Nanomaterials

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Nonlinear thermal stability and vibration of pre/post-buckled temperature- and microstructure-dependent functionally graded beams resting on elastic foundation

Cited by 93 publications

References 53 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

Electromechanical buckling behavior of smart piezoelectrically actuated higher-order size-dependent graded nanoscale beams in thermal environment

Dynamics of Axially Functionally Graded Timoshenko Beams on Linear Elastic Foundation

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