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Nonlinear buckling and free vibration of curved CNTs by doublet mechanics
Faculty
Engineering
Year:
2020
Type of Publication:
ZU Hosted
Pages:
213-226
Authors:
Salwa Amien Mohamed ebrhiem
Staff Zu Site
Abstract In Staff Site
Journal:
Smart Structures and Systems Techno-Press
Volume:
26
Keywords :
Nonlinear buckling , free vibration , curved CNTs
Abstract:
In this manuscript, static and dynamic behaviors of geometrically imperfect carbon nanotubes (CNTs) subject to different types of end conditions are investigated. The Doublet Mechanics (DM) theory, which is length scale dependent theory, is used in the analysis. The Euler-Bernoulli kinematic and nonlinear mid-plane stretching effect are considered through analysis. The governing equation of imperfect CNTs is a sixth order nonlinear integro-partial-differential equation. The buckling problem is discretized via the differential-integral-quadrature method (DIQM) and then it is solved using Newton’s method. The equation of linear vibration problem is discretized using DIQM and then solved as a linear eigenvalue problem to get natural frequencies and corresponding mode shapes. The DIQM results are compared with analytical ones available in the literature and excellent agreement is obtained. The numerical results are depicted to illustrate the influence of length scale parameter, imperfection amplitude and shear foundation constant on critical buckling load, post-buckling configuration and linear vibration behavior. The current model is effective in designing of NEMS, nano-sensor and nano-actuator manufactured by CNTs.
Author Related Publications
Salwa Amien Mohamed ebrhiem, "A novel differential-integral quadrature method for the solution of nonlinear integro-differential equations", John Wiley & Sons Ltd, 2021
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Salwa Amien Mohamed ebrhiem, "Thermal vibration characteristics of pre/post‑buckled bi‑directional functionally graded tapered microbeams based on modifed couple stress Reddy beam theory", Springer, 2020
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Salwa Amien Mohamed ebrhiem, "Nonlinear thermal buckling and postbuckling analysis of bidirectional functionally graded tapered microbeams based on Reddy beam theory", Springer, 2020
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Salwa Amien Mohamed ebrhiem, "New Smoother to Enhance Multigrid-Based Methods for Bratu Problem", Elsevier, 2008
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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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Department Related Publications
Adel Fathy Meselhy Ibrahiem, "Effect of some manufacturing parameters on mechanical properties of extruded Al-alumina composites", لايوجد, 1900
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Ashraf Abdelfattah Ali Hassanein, "A novel 3-D graphite structure from thermally stabilized electrospun MWCNTs/PAN nanofibril composite fabrics", International Journal of Advanced Manufacturing Technology, 2014
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Amal Elhosaieny Meselhy Alshorbagy, "Free vibration characteristics of a functionally graded beam by finite element method", www.elsevier.com/locate/apm, 2010
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Mohammed Abdelmoniem Mohamed Eltaher , "Static and buckling analysis of functionally graded Timoshenko nanobeams", www.elsevier.com, 2014
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Tamer Ali Abdella Sebaee, "AN EXPERIMENTAL STUDY ON THE BOLTED JOINT CONNECTIONS IN GFRE [0/90]2S LAMINATES", Minoufiya University, 2009
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