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Vibration response of perforated thick beam under moving load
Faculty
Engineering
Year:
2021
Type of Publication:
ZU Hosted
Pages:
Authors:
Alaa Ahmed Abd elrahman
Staff Zu Site
Abstract In Staff Site
Journal:
The European Physical Journal Springer
Volume:
Keywords :
Vibration response , perforated thick beam under
Abstract:
This manuscript aims to investigate the dynamic responses of thick Timoshenko perforated beams under a moving load using Ritz method for the first time. The beam is perforated by equally spaced square holes arranged in array form. The perforated geometrical parameters of beam are presented as a function of full beam, hole number throughout the cross section, and filling ratio. The governing equation is derived by using the Lagrange procedure using the kinematic assumption of Timoshenko shear deformation theory to include the rotation of the thickness effect. Therefore, the transverse-shear strain and rotary inertia are considered through analysis. Ritz method is exploited to solve the governing equation and transform it to ordinary differential equation in time domain. Newmark average acceleration method is adopted to solve the dynamic equation of motion to obtain the time response. The effects of moving load parameter, filling ratio, and the number of holes throughout the cross section on the dynamic responses of the perforated beam are investigated and analyzed. The proposed model can be used in many civil and mechanical perforated structures to reduce the vibration amplitudes.
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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