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
Energy equivalent model in analysis of postbuckling of imperfect carbon nanotubes resting on nonlinear elastic foundation
Faculty
Engineering
Year:
2019
Type of Publication:
ZU Hosted
Pages:
108-114
Authors:
Nazira Mohamed Mansour Mosa
Staff Zu Site
Abstract In Staff Site
Journal:
Applied Soil Ecology Techno press
Volume:
140
Keywords :
Energy equivalent model , analysis , postbuckling , imperfect
Abstract:
This paper investigates the static and dynamic behaviors of imperfect single walled carbon nanotube (SWCNT) modeled as a beam structure by using energy-equivalent model (EEM), for the first time. Based on EEM Young’s modulus and Poisson’s ratio for zigzag (n, 0), and armchair (n, n) carbon nanotubes (CNTs) are presented as functions of orientation and force constants. Nonlinear Euler-Bernoulli assumptions are proposed considering mid-plane stretching to exhibit a large deformation and a small strain. To simulate the interaction of CNTs with the surrounding elastic medium, nonlinear elastic foundation with cubic nonlinearity and shearing layer are employed. The equation governed the motion of curved CNTs is a nonlinear integropartial-differential equation. It is derived in terms of only the lateral displacement. The nonlinear integro-differential equation that governs the buckling of CNT is numerically solved using the differential integral quadrature method (DIQM) and Newton's method. The linear vibration problem around the static configurations is discretized using DIQM and then is solved as a linear eigenvalue problem. Numerical results are depicted to illustrate the influence of chirality angle and imperfection amplitude on static response, buckling load and dynamic behaviors of armchair and zigzag CNTs. Both, clamped-clamped (C-C) and simply supported (SS-SS) boundary conditions are examined. This model is helpful especially in mechanical design of NEMS manufactured from CNTs.
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, "Periodic and nonperiodic modes of postbuckling and nonlinear vibration of beams attached to nonlinear foundations", Elsevier, 2019
More
Department Related Publications
Amr Mohamed Salaheldeen Abdelaziem Mohamed, "Green’s function expansion for exponentially graded elasticity", لايوجد, 1900
More
Hany Arafa Abdelmohsen Ali Metwallie, "Blended Learning Approach in Research and Education of Laboratory Physics", Conference ICL2010 September 15 -17, 2010 Hasselt, Belgium, 2010
More
Magda Mahmoud Mohamed Kasem, "Group similarity solutions of (2 + 1) Boiti-Leon-Manna-Pempinelli Lax pair.", Elsvier, 2014
More
Ola Ragab Abdou Mohamed, "Quadrature Analysis of Functionally Graded Materials", IJET-IJENS, 2014
More
Mohamed Salaheldin Mohamed Mohamed Ali, "An Efficient Method to Solve Thermal Wave Equation", Scientific Research, 2014
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