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Free and forced analysis of perforated beams
Faculty
Engineering
Year:
2019
Type of Publication:
ZU Hosted
Pages:
13
Authors:
Alaa Ahmed Abd elrahman
Staff Zu Site
Abstract In Staff Site
Journal:
Steel and Composite Structures Techno-Press
Volume:
31
Keywords :
Free , forced analysis , perforated beams
Abstract:
This article presents a unified mathematical model to investigate free and forced vibration responses of perforated thin and thick beams. Analytical models of the equivalent geometrical and material characteristics for regularly squared perforated beam are developed. Because of the shear deformation regime increasing in perforated structures, the investigation of dynamical behaviors of these structures becomes more complicated and effects of rotary inertia and shear deformation should be considered. So, both Euler-Bernoulli and Timoshenko beam theories are proposed for thin and short (thick) beams, respectively. Mathematical closed forms for the eigenvalues and the corresponding eigenvectors as well as the forced vibration time response are derived. The validity of the developed analytical procedure is verified by comparing the obtained results with both analytical and numerical analyses and good agreement is detected. Numerical studies are presented to illustrate effects of beam slenderness ratio, filling ratio, as well as the number of holes on the dynamic behavior of perforated beams. The obtained results and concluding remarks are helpful in mechanical design and industrial applications of large devices and small systems (MEMS) based on perforated structure.
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
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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