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Periodic and nonperiodic modes of postbuckling and nonlinear vibration of beams attached to nonlinear foundations
Faculty
Engineering
Year:
2019
Type of Publication:
ZU Hosted
Pages:
14
Authors:
Nazira Mohamed Mansour Mosa
Staff Zu Site
Abstract In Staff Site
Journal:
Structural Engineering and Mechanics Elsevier
Volume:
Keywords :
Periodic , nonperiodic modes , postbuckling and nonlinear vibration
Abstract:
This manuscript presents the influence of periodic (sine and cosine) and nonperiodic imperfections modes on buckling, postbuckling and dynamics of beam rested on nonlinear elastic foundations. The geometric von Kármán nonlinear strains induced by mid-plane stretching is considered. So, the generated equation of motion of imperfect beam is obtained as nonlinear integro-partial-differential equation. Elastic cubic nonlinear and linear springs and shearing layer are proposed to model elastic medium around the imperfected beam. Numerical differential-integral quadrature method (DIQM) in combination with Newton’s method are used to find buckling loads and modes of imperfect beam that described by nonlinear integro-differential equation. In linear vibration analysis, the problem is discretized by DIQM and solved as a linear eigenvalue problem. The closed form solutions for static response and linear vibration problem of imperfect beam are obtained. Excellent agreement is observed between proposed numerical and analytical solutions. The numerical results indicate that imperfection modes and its amplitude have a weighty influence on the buckling load, postbuckling configurations and natural frequencies. Finally, numerical results for clamped-clamped (C-C) and simply supported (SS-SS) beams with local (nonperiodic) imperfection modes are presented.
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Nazira Mohamed Mansour Mosa, "Exponential higher-order compact scheme for 3D steady convection–diffusion problem", sciencedirect, 2014
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Nazira Mohamed Mansour Mosa, "EXPONENTIAL HIGHER-ORDER COMPACT SCHEME FOR STEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS: STREAMFUNCTION-VORTICITY FORMULATION", conferrnce, 2013
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Nazira Mohamed Mansour Mosa, "Numerical analysis of nonlinear free and forced vibrations of buckled curved beams resting on nonlinear elastic foundations", Elsevier, 2018
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Nazira Mohamed Mansour Mosa, "Numerical analysis of nonlinear free and forced vibrations of buckled curved beams resting on nonlinear elastic foundations", international journal of nonlinear mechanics, 2018
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Nazira Mohamed Mansour Mosa, "Energy equivalent model in analysis of postbuckling of imperfect carbon nanotubes resting on nonlinear elastic foundation", Techno press, 2019
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Department Related Publications
Salwa Amien Mohamed ebrhiem, "Analysis of cracked plates using an iterative hybrid technique of boundary element method and distributed dislocation method", لايوجد, 1900
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Salwa Amien Mohamed ebrhiem, "Analytical Solution of Cracked Shell Resting on Elastic Foundation", لايوجد, 1900
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Salwa Amien Mohamed ebrhiem, "Analysis of cracked plates using an iterative hybrid technique of boundary element method and distributed dislocation method", Elsevier, 2007
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Ola Ragab Abdou Mohamed, "Efficient Quadrature Solution for Composite Plate Problems", medwelljournals, 2014
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Amgad Elsayed Soulaiman , "Computerized Langmuir Probe Measurements in a Capacitively Coupled RF Discharge", 28th ICPIG, July 15-20, 2007, Prague, Czech Republic, 2007
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