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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.70 No.6
- 발행연도
- 2019.1
- 수록면
- 737 - 750 (14page)
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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.
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참고문헌 (22)
참고문헌 신청
M.A. Attia / 2017 / Nonlinear modeling and analysis of electrically actuated viscoelastic microbeams based on the modified couple stress theory / Applied Mathematical Modelling 41:195~222
Habib Baghdadi / 2014 / Thermal Effect on Vibration Characteristics of Armchair and Zigzag Single-Walled Carbon Nanotubes Using Nonlocal Parabolic Beam Theory / Fullerenes, Nanotubes and Carbon Nanostructures 23(3):266~272
W. Adda Bedia / 2015 / On the Thermal Buckling Characteristics of Armchair Single-Walled Carbon Nanotube Embedded in an Elastic Medium Based on Nonlocal Continuum Elasticity / Brazilian Journal of Physics 45(2):225~233
Bellman, R. / 1971 / Differential quadrature and long-term integration / J. Math. Anal. Appl 34(2):235~238
Soumia Benguediab / 2014 / Chirality and scale effects on mechanical buckling properties of zigzag double-walled carbon nanotubes / Composites Part B: Engineering 57:21~24
Habib Baghdadi / 2014 / Thermal Effect on Vibration Characteristics of Armchair and Zigzag Single-Walled Carbon Nanotubes Using Nonlocal Parabolic Beam Theory / Fullerenes, Nanotubes and Carbon Nanostructures 23(3):266~272
W. Adda Bedia / 2015 / On the Thermal Buckling Characteristics of Armchair Single-Walled Carbon Nanotube Embedded in an Elastic Medium Based on Nonlocal Continuum Elasticity / Brazilian Journal of Physics 45(2):225~233
Bellman, R. / 1971 / Differential quadrature and long-term integration / J. Math. Anal. Appl 34(2):235~238
Soumia Benguediab / 2014 / Chirality and scale effects on mechanical buckling properties of zigzag double-walled carbon nanotubes / Composites Part B: Engineering 57:21~24
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