Zagazig University Digital Repository
Home
Thesis & Publications
All Contents
Publications
Thesis
Graduation Projects
Research Area
Research Area Reports
Search by Research Area
Universities Thesis
ACADEMIC Links
ACADEMIC RESEARCH
Zagazig University Authors
Africa Research Statistics
Google Scholar
Research Gate
Researcher ID
CrossRef
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.
Author Related Publications
Nazira Mohamed Mansour Mosa, "Exponential higher-order compact scheme for 3D steady convection–diffusion problem", sciencedirect, 2014
More
Nazira Mohamed Mansour Mosa, "EXPONENTIAL HIGHER-ORDER COMPACT SCHEME FOR STEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS: STREAMFUNCTION-VORTICITY FORMULATION", conferrnce, 2013
More
Nazira Mohamed Mansour Mosa, "Numerical analysis of nonlinear free and forced vibrations of buckled curved beams resting on nonlinear elastic foundations", Elsevier, 2018
More
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
More
Nazira Mohamed Mansour Mosa, "Energy equivalent model in analysis of postbuckling of imperfect carbon nanotubes resting on nonlinear elastic foundation", Techno press, 2019
More
Department Related Publications
Salwa Amien Mohamed ebrhiem, "Exponential higher-order compact scheme for 3D steady convection–diffusion problem", Elsevier, 2014
More
Salwa Amien Mohamed ebrhiem, "A modified diffusion coefficient technique for the convection diffusion equation", Elsevier, 2013
More
Mohamed Abdel Moneim Abdullah Daly, "Antibiotics Degradation and Bacteria Inactivation in Water by Cold Atmospheric Plasma Discharges Above and Below Water Surface", Springer Nature, 2020
More
Ola Ragab Abdou Mohamed, "Distinctive Shape Functions of Fractional Differential Quadrature for Solving Two-Dimensional Space Fractional Diffusion Problems", MDPI, 2023
More
Mohamed Salaheldin Mohamed Mohamed Ali, "Distinctive Shape Functions of Fractional Differential Quadrature for Solving Two-Dimensional Space Fractional Diffusion Problems", MDPI, 2023
More
جامعة المنصورة
جامعة الاسكندرية
جامعة القاهرة
جامعة سوهاج
جامعة الفيوم
جامعة بنها
جامعة دمياط
جامعة بورسعيد
جامعة حلوان
جامعة السويس
شراقوة
جامعة المنيا
جامعة دمنهور
جامعة المنوفية
جامعة أسوان
جامعة جنوب الوادى
جامعة قناة السويس
جامعة عين شمس
جامعة أسيوط
جامعة كفر الشيخ
جامعة السادات
جامعة طنطا
جامعة بنى سويف