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

Date

2017-01-01

Author

Ghassabı, A. Alipour
Dağ, Serkan
Ciğeroğlu, Ender

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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 differential 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.

Subject Keywords

Free vibrations, Differential quadrature method, Nonlocal elasticity, Nanoplates, Functionally graded materials

URI

https://hdl.handle.net/11511/54332

Journal

ARCHIVES OF MECHANICS

Collections

Department of Mechanical Engineering, Article

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Citation Formats

A. A. Ghassabı, S. Dağ, and E. Ciğeroğlu, “Free vibration analysis of functionally graded rectangular nanoplates considering spatial variation of the nonlocal parameter,” ARCHIVES OF MECHANICS, pp. 105–130, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54332.