Static and Free Vibration Analyses of Functionally Graded Nano-composite Plates Reinforced by Wavy Carbon Nanotubes Resting on a Pasternak Elastic Foundation

In this study, static and free vibration analyses of functionally graded (FG) nanocomposite plates, reinforced by wavy single-walled carbon nanotubes (SWCNTs) resting on a Pasternak elastic foundation, were investigated based on a mesh-free method and modified first-order shear deformation theory (F...

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Main Authors: R. Moradi Dastjerdi, G. Payganeh, S. Rajabizadeh Mirakabad, M. Jafari Mofrad-Taheri
Format: Article
Language:English
Published: Semnan University 2016-11-01
Series:Mechanics of Advanced Composite Structures
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Online Access:https://macs.semnan.ac.ir/article_474_6d9f04323ad9f8ac8837f55116ae4c88.pdf
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author R. Moradi Dastjerdi
G. Payganeh
S. Rajabizadeh Mirakabad
M. Jafari Mofrad-Taheri
author_facet R. Moradi Dastjerdi
G. Payganeh
S. Rajabizadeh Mirakabad
M. Jafari Mofrad-Taheri
author_sort R. Moradi Dastjerdi
collection DOAJ
description In this study, static and free vibration analyses of functionally graded (FG) nanocomposite plates, reinforced by wavy single-walled carbon nanotubes (SWCNTs) resting on a Pasternak elastic foundation, were investigated based on a mesh-free method and modified first-order shear deformation theory (FSDT). Three linear types of FG nanocomposite plate distributions and a uniform distribution of wavy carbon nanotubes (CNTs) were considered, in addition to plate thickness. The mechanical properties were by an extended rule of mixture. In the mesh-free analysis, moving least squares (MLS) shape functions were used for approximation of the displacement field in the weak form of a motion equation, and the transformation method was used for imposition of essential boundary conditions. Effects of geometric dimensions, boundary conditions, the type of applied force, and the waviness index, aspect ratio, volume fraction, and distribution pattern of CNTs were examined for their effects on the static and frequency behaviors of FG carbon nanotube reinforced composite (CNTRC) plates. Waviness and the distribution pattern of CNTs had a significant effect on the mechanical behaviors of FG-CNTRC plates, even more than the effect of the CNT volume fraction.
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series Mechanics of Advanced Composite Structures
spelling doaj-art-ad4c8ae2fcc24f10a30a42a5166160052024-12-16T21:01:47ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432016-11-013212313510.22075/macs.2016.474474Static and Free Vibration Analyses of Functionally Graded Nano-composite Plates Reinforced by Wavy Carbon Nanotubes Resting on a Pasternak Elastic FoundationR. Moradi Dastjerdi0G. Payganeh1S. Rajabizadeh Mirakabad2M. Jafari Mofrad-Taheri3Young Researchers and Elite Club,Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, IranSchool of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), Tehran, IranSchool of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), Tehran, IranSchool of Mechanical Engineering, Shahid Rajaee Teacher Training University (SRTTU), Tehran, IranIn this study, static and free vibration analyses of functionally graded (FG) nanocomposite plates, reinforced by wavy single-walled carbon nanotubes (SWCNTs) resting on a Pasternak elastic foundation, were investigated based on a mesh-free method and modified first-order shear deformation theory (FSDT). Three linear types of FG nanocomposite plate distributions and a uniform distribution of wavy carbon nanotubes (CNTs) were considered, in addition to plate thickness. The mechanical properties were by an extended rule of mixture. In the mesh-free analysis, moving least squares (MLS) shape functions were used for approximation of the displacement field in the weak form of a motion equation, and the transformation method was used for imposition of essential boundary conditions. Effects of geometric dimensions, boundary conditions, the type of applied force, and the waviness index, aspect ratio, volume fraction, and distribution pattern of CNTs were examined for their effects on the static and frequency behaviors of FG carbon nanotube reinforced composite (CNTRC) plates. Waviness and the distribution pattern of CNTs had a significant effect on the mechanical behaviors of FG-CNTRC plates, even more than the effect of the CNT volume fraction.https://macs.semnan.ac.ir/article_474_6d9f04323ad9f8ac8837f55116ae4c88.pdfstaticfree vibrationwavy carbon nanotubenanocomposite platesmesh-free
spellingShingle R. Moradi Dastjerdi
G. Payganeh
S. Rajabizadeh Mirakabad
M. Jafari Mofrad-Taheri
Static and Free Vibration Analyses of Functionally Graded Nano-composite Plates Reinforced by Wavy Carbon Nanotubes Resting on a Pasternak Elastic Foundation
Mechanics of Advanced Composite Structures
static
free vibration
wavy carbon nanotube
nanocomposite plates
mesh-free
title Static and Free Vibration Analyses of Functionally Graded Nano-composite Plates Reinforced by Wavy Carbon Nanotubes Resting on a Pasternak Elastic Foundation
title_full Static and Free Vibration Analyses of Functionally Graded Nano-composite Plates Reinforced by Wavy Carbon Nanotubes Resting on a Pasternak Elastic Foundation
title_fullStr Static and Free Vibration Analyses of Functionally Graded Nano-composite Plates Reinforced by Wavy Carbon Nanotubes Resting on a Pasternak Elastic Foundation
title_full_unstemmed Static and Free Vibration Analyses of Functionally Graded Nano-composite Plates Reinforced by Wavy Carbon Nanotubes Resting on a Pasternak Elastic Foundation
title_short Static and Free Vibration Analyses of Functionally Graded Nano-composite Plates Reinforced by Wavy Carbon Nanotubes Resting on a Pasternak Elastic Foundation
title_sort static and free vibration analyses of functionally graded nano composite plates reinforced by wavy carbon nanotubes resting on a pasternak elastic foundation
topic static
free vibration
wavy carbon nanotube
nanocomposite plates
mesh-free
url https://macs.semnan.ac.ir/article_474_6d9f04323ad9f8ac8837f55116ae4c88.pdf
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AT srajabizadehmirakabad staticandfreevibrationanalysesoffunctionallygradednanocompositeplatesreinforcedbywavycarbonnanotubesrestingonapasternakelasticfoundation
AT mjafarimofradtaheri staticandfreevibrationanalysesoffunctionallygradednanocompositeplatesreinforcedbywavycarbonnanotubesrestingonapasternakelasticfoundation