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.Vibration of nonlocal perforated nanobeams with general boundary conditions
Faculty
Engineering
Year:
2020
Type of Publication:
ZU Hosted
Pages:
Authors:
Norhan Alaaeldeen Mohamed Ali Hsan
Staff Zu Site
Abstract In Staff Site
Journal:
Smart Structures and Systems Techno-Press
Volume:
Keywords :
.Vibration , nonlocal perforated nanobeams with general
Abstract:
This article presents a comprehensive model to investigate a free vibration and resonance frequencies of nanostructure perforated beam element as nano-resonator. Nano-scale size dependency of regular square perforated beam is considered by using nonlocal differential form of Eringen constitutive equation. Equivalent mass, inertia, bending and shear rigidities of perforated beam structure are developed. Kinematic displacement assumptions of both Timoshenko and Euler-Bernoulli are assumed to consider thick and thin beams, respectively. So, this model considers the effect of shear on natural frequencies of perforated nanobeams. Equations of motion for local and nonlocal elastic beam are derived. After that, analytical solutions of frequency equations are deduced as function of nonlocal and perforation parameters. The proposed model is validated and verified with previous works. Parametric studies are performed to illustrate the influence of a long-range atomic interaction, hole perforation size, number of rows of holes and boundary conditions on fundamental frequencies of perforated nanobeams. The proposed model is supportive in designing and production of nanobeam resonator used in nano electromechanical systems NEMS.
Author Related Publications
Norhan Alaaeldeen Mohamed Ali Hsan , "A novel differential-integral quadrature method for the solution of nonlinear integro-differential equations", John Wiley & Sons Ltd, 2021
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Norhan Alaaeldeen Mohamed Ali Hsan , "Surface energy effects on the nonlinear free vibration of functionally graded Timoshenko nanobeams based on modified couple stress theory", World Scientific Publishing Company, 2019
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Norhan Alaaeldeen Mohamed Ali Hsan , "Solving one- and two-dimensional unsteady Burgers' equation using fully implicit finite difference schemes", Taylor & Francis Group, 2019
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Norhan Alaaeldeen Mohamed Ali Hsan , "Effective numerical technique applied for Burgers' equation of (1 + 1)-, (2 + 1)-dimensional, and coupled forms", John Wiley & Sons, Ltd, 2021
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Norhan Alaaeldeen Mohamed Ali Hsan , "Effective numerical technique applied for Burgers' equation of (1+1)-, (2+1)-dimensional, and coupled forms", Wiley, 2021
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Department Related Publications
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