FREE VIBRATION ANALYSIS OF POROUS NANOPLATES USING NURBS FORMULATIONS

Phuc Phung-Van, Khanh Chau Nguyen, Khai Chau Nguyen, Hung Nguyen Xuan

Abstract


This paper presents free vibration analysis of functionally graded (FG) porous nanoplates based on isogeometric approach. Material properties of the nanoplates are given by using a modified power-law function. The Eringen’s nonlocal elasticity is used to capture the size effects. Based on a combination of the Hamilton’s principle and the higher order shear deformation theory, the governing equations of the porous nanoplates are derived. The obtained results demonstrate the significance of nonlocal parameter, porosity volume fraction, porosity distributions and volume fraction exponent on free vibration analysis of the nanoplates with porosities.


Keywords


porosities; nonlocal theory; nanostructures; isogeometric analysis (IGA); free vibration analysis.

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References


Natarajan S., Chakraborty S., Thangavel M., Bordas S., Rabczuk T. - Size-dependent free flexural vibration behavior of functionally graded nanoplates, Comp Mater Sci. 65 (2012) 74-80.

Alshorbagy A. E., Eltaher M. A., Mahmoud F. F. - Free vibration characteristics of a functionally graded beam by finite element method, Appl Math Model. 35(1) (2011) 412-25.

Eltaher M. A., Emam S. A., Mahmoud F. F. - Static and stability analysis of nonlocal functionally graded nanobeams, Compos Struct. 96 (2013) 82-8.

Barati M. R., Shahverdi H. - A four-variable plate theory for thermal vibration of embedded FG nanoplates under non-uniform temperature distributions with different boundary conditions, Struct Eng Mech. 60(4) (2016) 707-27.

Sobhy M., Radwan A. F. - A New Quasi 3D Nonlocal Plate Theory for Vibration and Buckling of FGM Nanoplates, Int J Appl Mech. 9(1) (2017) 1750008.

Ansari R., Ashrafi M., Pourashraf T., Sahmani S. - Vibration and buckling characteristics of functionally graded nanoplates subjected to thermal loading based on surface elasticity theory, Acta Astronaut. 109 (2015) 42-51.

Thai H. T. - A nonlocal beam theory for bending, buckling, and vibration of nanobeams, Int J Eng Sci.52 (2012) 56-64.

Barati M. R., Zenkour A. M. - Analysis of postbuckling behavior of general higher-order functionally graded nanoplates with geometrical imperfection considering porosity distributions, Mechanics of Advanced Materials and Structures (2019) DOI: 10.1080/15376494.2018.1430280.

Phung-Van P., Lieu Q.X., Nguyen-Xuan H., Wahab M. A. - Size-dependent isogeometric analysis of functionally graded carbon nanotube-reinforced composite nanoplates, Compos Struct. 166 (2017) 120-35.

Phung-Van P., Ferreira A. J. M., Nguyen-Xuan H., Abdel-Wahab M. - An isogeometric approach for size-dependent geometrically nonlinear transient analysis of functionally graded nanoplates, Composites Part B Engineering. 118 (2017) 125-34.

Phung-Van P., Thanh C. L., Nguyen-Xuan H., Abdel-Wahab M. - Nonlinear transient isogeometric analysis of FG-CNTRC nanoplates in thermal environments, Composite Structures 201 (2018) 882-92.

Shahverdi H., Barati M. R. - Vibration analysis of porous functionally graded nanoplates, Int J Eng Sci. 120 (2017) 82-99.

Eringen A. C. - Nonlocal Polar Elastic Continua, Int J Eng Sci. 10(1) (1972) 1-7.

Cottrell J. A., Hughes T. J. R., Bazilevs Y. - Isogeometric analysis, towards integration of CAD and FEA, Wiley, 2009.




DOI: https://doi.org/10.15625/2525-2518/58/3/14500 Display counter: Abstract : 101 views. PDF : 33 views.

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