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Dynamic Analysis of a Piezoelectrically Layered Perforated Nonlocal Strain Gradient Nanobeam with Flexoelectricity
Faculty
Engineering
Year:
2022
Type of Publication:
ZU Hosted
Pages:
2614
Authors:
Ahmed Wagih Abdallah Abdelhady Deebes
Staff Zu Site
Abstract In Staff Site
Journal:
Mathematics MDPI
Volume:
10
Keywords :
Dynamic Analysis , , Piezoelectrically Layered Perforated Nonlocal
Abstract:
This study presents a mathematical size-dependent model capable of investigating the dynamic behavior of a sandwich perforated nanobeam incorporating the flexoelectricity effect. The nonlocal strain gradient elasticity theory is developed for both continuum mechanics and flexoelectricity. Closed forms of the equivalent perforated geometrical variables are developed. The Hamiltonian principle is exploited to derive the governing equation of motion of the sandwich beam including the flexoelectric effect. Closed forms for the eigen values are derived for different boundary conditions. The accuracy of the developed model is verified by comparing the obtained results with the available published results. Parametric studies are conducted to explore the effects of the perforation parameters, geometric dimensions, nonclassical parameters, flexoelectric parameters, as well as the piezoelectric parameters on the vibration behavior of a piezoelectric perforated sandwich nanobeam. The obtained results demonstrate that both the flexoelectric and piezoelectric parameters increased the vibration frequency of the nanobeam. The nonlocal parameter reduced the natural vibration frequency due to a decrease in the stiffness of the structures. However, the strain gradient parameter increased the stiffness of the structures and hence increased the natural vibration frequency. The natural vibration frequency based on the NSGT can be increased or decreased, depending on the ration of the value of the nonlocal parameter to the strain gradient parameter. This model can be employed in the analysis and design of NEMS, nanosensors, and nanoactuators
Author Related Publications
Ahmed Wagih Abdallah Abdelhady Deebes, "Effect of milling time on morphology and microstructure of Al-Mg/Al2O3 nanocomposite powder produced by mechanical alloying", International Journal of Advances in Engineering Sciences, 2014
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Ahmed Wagih Abdallah Abdelhady Deebes, "Effect of Mechanical Milling on the Morphologyand Structural Evaluation ofAl- Al2O3 Nanocomposite Powders", International Journal of Engineering, 2014
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Ahmed Wagih Abdallah Abdelhady Deebes, "Bio-inspired composite laminate design with improved out-of-plane strength and ductility", El Sevier, 2021
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Ahmed Wagih Abdallah Abdelhady Deebes, "Experimental investigation and FE simulation of spherical indentation on nano-alumina reinforced copper-matrix composite produced by three different techniques", elsevier, 2017
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Ahmed Wagih Abdallah Abdelhady Deebes, "Improved mechanical and wear properties of hybrid Al-Al2O3/GNPs electroless coated Ni nanocomposite", Elsevier, 2018
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Department Related Publications
Soliman Soliman Soliman Alieldien, "A first-order shear deformation finite element model for elastostatic analysis of laminated composite plates and the equivalent functionally graded plates", Ain Shams Engineering Journal, 2011
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Soliman Soliman Soliman Alieldien, "Size-dependent analysis of functionally graded ultra-thin films", Structural Engineering and Mechanics, Vol. 44, No. 4 (2012) 431-448, 2012
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Soliman Soliman Soliman Alieldien, "Bending Analysis of Ultra-thin Functionally Graded Mindlin Plates Incorporating Surface Energy Effects", International Journal of Mechanical Sciences, 2013
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Soliman Soliman Soliman Alieldien, "Finite element analysis of functionally graded nano-scale films", Finite Elements in Analysis and Design, 2013
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Soliman Soliman Soliman Alieldien, "Finite Element Analysis of the Deformation of Functionally Graded Plates under Thermomechanical Loads", Mathematical Problems in Engineering, 2013
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