Free vibration analysis of functionally graded rectangular nanoplates considering spatial variation of the nonlocal parameter

Alipour Ghassabi, A.; Dag, S.; Cigeroglu, E.

Artykuł - szczegóły

Tytuł artykułu

Free vibration analysis of functionally graded rectangular nanoplates considering spatial variation of the nonlocal parameter

Autorzy

Alipour Ghassabi A. , Dag S. , Cigeroglu E.

Wybrane pełne teksty z tego czasopisma

https://am.ippt.pan.pl/index.php/am

Identyfikatory

Warianty tytułu

Języki publikacji

Abstrakty

We present a new nonlocal elasticity-based analysis method for free vibrations of functionally graded rectangular nanoplates. The introduced method allows taking into account spatial variation of the nonlocal parameter. Governing partial differential equations and associated boundary conditions are derived by employing the variational approach and applying Hamilton’s principle. Displacement field is expressed in a unified way to be able to produce numerical results pertaining to three different plate theories, namely Kirchhoff, Mindlin, and third-order shear deformation theories. The equations are solved numerically by means of the generalized differentia quadrature method. Numerical results are generated by considering simply-supported and cantilever nanoplates undergoing free vibrations. These findings demonstrate the influences of factors such as dimensionless plate length, plate theory, power-law index, and nonlocal parameter ratio upon vibration behavior.

Słowa kluczowe

functionally graded materials nanoplates nonlocal elasticity differential quadrature method free vibrations

Wydawca

Instytut Podstawowych Problemów Techniki PAN

Czasopismo

Archives of Mechanics

Rocznik

2017

Tom

Vol. 69, nr 2

Strony

105--130

Opis fizyczny

Bibliogr. 54 poz., rys.

Twórcy

autor

Alipour Ghassabi A.

Department of Mechanical Engineering Middle East Technical University Ankara 06800, Turkey

autor

Dag S.

sdag@metu.edu.tr

Department of Mechanical Engineering Middle East Technical University Ankara 06800, Turkey

autor

Cigeroglu E.

Department of Mechanical Engineering Middle East Technical University Ankara 06800, Turkey

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-9db64366-2d1c-483d-b4e5-ed1fb1c7c2a0