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Fractional modelling of piezoelectric composite nanobeams via novel numerical schemes
Faculty
Engineering
Year:
2023
Type of Publication:
ZU Hosted
Pages:
Authors:
Mohamed Salaheldin Mohamed Mohamed Ali
Staff Zu Site
Abstract In Staff Site
Journal:
Applied Physics A 3
Volume:
Keywords :
Fractional modelling , piezoelectric composite nanobeams , novel
Abstract:
In the present study, the free vibration analysis of piezoelectric composite nanobeams is performed with various boundary conditions. Novel numerical techniques based on quadrature schemes with various test functions are applied with the generalized Caputo kind to solve the boundary value fractional problems. The accuracy and validity of the present analysis are demonstrated by comparing the present results with the previously published ones. Moreover, a parametric analysis is carried out to examine the efect of some material parameters, fractional order derivatives, and geometric dimensions on the vibration attitude of the nanobeam. This parametric study proven the ability of our techniques to provide a solution to most complex fractional diferential equations. It is revealed that the fractional diferential quadrature methods decrease the time and computational costs.
Author Related Publications
Mohamed Salaheldin Mohamed Mohamed Ali, "Analysis Of Reaction Diffusion Problems Using Differential Quadrature Method", International Journals of Engineering & Sciences, 2013
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Mohamed Salaheldin Mohamed Mohamed Ali, "The Differential Quadrature Solution of Reaction-Diffusion Equation Using Explicit and Implicit Numerical Schemes", Scientific Research, 2014
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Mohamed Salaheldin Mohamed Mohamed Ali, "An Efficient Method to Solve Thermal Wave Equation", Scientific Research, 2014
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Mohamed Salaheldin Mohamed Mohamed Ali, "Modeling and Solution of Reaction–Diffusion Equations by Using the Quadrature and Singular Convolution Methods", 3, 2022
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Mohamed Salaheldin Mohamed Mohamed Ali, "Efficient discrete singular convolution differential quadrature algorithm for solitary wave solutions for higher dimensions in shallow water waves", Taylor & Francis, 2022
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Department Related Publications
Salwa Amien Mohamed ebrhiem, "Adaptive FAS-Multigrid Method for Nonlinear Elliptic Equations on Unstructured Grids", لايوجد, 1900
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Amr Mohamed Salaheldeen Abdelaziem Mohamed, "Evaluation o Green's unction derivatives or exponentially graded elasticity", لايوجد, 1900
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Salwa Amien Mohamed ebrhiem, "Optimally efficient multigrid algorithms for incompressible Euler equations", Emerald Group Publishing Limited, 2008
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Salwa Amien Mohamed ebrhiem, "Adaptive FAS-multigrid method for nonlinear elliptic equations on unstructured grids", Wiley InterScience, 2007
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Rania Bahgat Mohamed Amer, "An Efficient Method To Solve Thermal Wave Equations", Published by Scientific Research Publishing, 2014
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