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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:
Mohammed Abdelmoniem Mohamed Eltaher
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.
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Mohammed Abdelmoniem Mohamed Eltaher , "Modeling of viscoelastic contact-impact problems", journal homepage: www.elsevier.com/locate/apm, 2009
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Department Related Publications
Samia Fawzy Saad Salam, "تأثير لزوجه المواد الداخليه على تصرف الأجسام المتلامسه المرنه ذات السطوح الخشنه ومتعدده الطبقات ", لايوجد, 1900
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Ashraf Abdelfattah Ali Hassanein, "Wet Electrospun CuNP/Carbon Ultra Fine Coils for Super Air Core Inductors", ICCE-19 Conference, Shanghai, China, 24-30 July 2011. Also, World Journal of Engineering, Supplement 3, 2010: 37-40., 2010
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