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Vibration response of Timoshenko perforated microbeams under accelerating load and thermal environment,
Faculty
Engineering
Year:
2021
Type of Publication:
ZU Hosted
Pages:
Authors:
Alaa Ahmed Abd elrahman
Staff Zu Site
Abstract In Staff Site
Journal:
Applied Mathematics and Computiaon Elsevier
Volume:
Keywords :
Vibration response , Timoshenko perforated microbeams under
Abstract:
This article presents a dynamic finite elements procedure capable of analyzing the dynamic behavior of perforated Timoshenko microbeams in thermal environment and subjected to moving mass for the first time. An analytical geometrical model is presented to incorpo- rate the perforation effect into the governing equations. The microstructure size dependent effect is incorporated based on the modified couple stress theory. Based on the presented geometrical model, the dynamic equations of motion including the interaction terms of the mass inertia are derived from the exact differential of the displacement functions of the beam relative to the mass contact point. To investigate the temperature effect on the dynamic behavior, thermal loading with different temperature rise profiles are considered. Thermal stresses, due to thermal loads are converted to mechanical stresses and then the thermal rigidity matrix is combined with the stiffness matrix of the beam. The dynamic finite element equations of motion are derived including the thermal effect. The system equations are solved numerically by using implicit time integration method due to its sta- bility. The proposed numerical procedure is checked by comparing the obtained results with the available solutions and good agreement is observed. Effects of perforation param- eters, thermal loading profile, moving mass characteristics, as well as the moving speed on the dynamic behavior of perforated microbeams are studied. The obtained results are helpful in the design and manufacturing of perforated microbeams structural systems.
Author Related Publications
Alaa Ahmed Abd elrahman , "Vibrations and stress analysis of rotating perforated beams by using finite elements method", Techno-Press, Ltd., 2021
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Alaa Ahmed Abd elrahman , "Vibration of nonlinear graduation of nano-Timoshenko beam considering the neutral axis position", Elsevier, 2014
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Alaa Ahmed Abd elrahman , "Influence of surface energy on the nanoindentation response of elastically-layered viscoelastic materials", Springer, 2015
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Alaa Ahmed Abd elrahman , "A numerical solution for quasistatic viscoelastic frictional contact problems", ASME, 2007
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Alaa Ahmed Abd elrahman , "Effect of the material parameters on layered viscoelastic frictional contact systems", Hindawi Publishing Corporation, 2010
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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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