• Wind and Structures
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• 제24권3호
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• pp.267-285
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• 2017

This paper addresses vibration and instability of embedded functionally graded (FG)-carbon nanotubes (CNTs)-reinforced pipes conveying viscous fluid. The surrounding elastic medium is modeled by temperature-dependent orthotropic Pasternak medium. Flugge shell model is applied for mathematical modeling of structure. Based on energy method and Hamilton's principal, the motion equations are derived. Differential quadrature method (GDQM) is applied for obtaining the frequency and critical fluid velocity of system. The effects of different parameters such as volume percent of CNTs, elastic medium, boundary condition and geometrical parameters are discussed.

• Advances in concrete construction
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• 제13권6호
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• pp.451-459
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• 2022

In present study, the nonlocal Flügge shell model based is utilized to investigate the vibration characteristics of armchair and chiral single-walled carbon nanotubes with impact of small-scale effect subjected to two boundary supports. The wave propagation approach is employed to determine eigen frequencies for armchair and chiral tubes. The fundamental frequencies scrutinized with assorted aspect ratios by varying the bending rigidity. The raised in value of nonlocal parameter reduces the corresponding fundamental frequency. It is investigated with higher aspect ratio, the boundary conditions have a momentous influence on vibration of CNT. It is concluded that frequencies would increase by increasing of the bending rigidity. Solutions of the frequency equation have determined by writing in MATLAB coding.

• 대한기계학회논문집
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• 제11권5호
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• pp.800-809
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• 1987

본 연구에서는 원통에 대하여는 Donnel 식과 Flugge식을 사용하여 원통의 유 한길이에 대한 일반적인 해를 구하였고, 평판에 대하여는 막이론과 굽힘이론을 사용하 여 일반해를 구한 후 중첩하였다. 평판과 원통에 발생하는 미정력계를 구하기 위하 여 가장 합리적이라고 생각되는 접합부에 모든 미정력계가 집중하여 작용한다고 가정 하고, 이 부분에서 평판과 원통의 각각에 대한 하중, 모우멘트, 기울기, 변위 등이 연 속하도록 접한조건식을 세웠다.그리고 이론해석의 타당성을 알아보기 위하여 S 45C 강재로 플러시타잎의 모델을 제작하여 실험을 행하였다.

• Computers and Concrete
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• 제32권4호
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• pp.393-398
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• 2023

This paper provides the free vibrations of chiral carbon nanotubes. The governing equations of Flügge theory is considered for vibration frequencies of chiral single walled carbon nanotubes. The solution of frequency equation is obtained from a novel model for better representation of stubby and short vibration characteristics of chiral tubes with clamped-clamped and clamped-simply supported end conditions. For the harmonic response of this tube, the model displacement function is adopted. The variational approach Rayleigh-Ritz method with kinetic and strain energies are used. The Lagragian function is differentiated with respect to unknown functions. The frequency equation is written in compact form to solve with MATLAB software. The frequencies of chiral SWCNTs for first ten aspect ratios as small level are investigated. The results shown as for decreasing the aspect rations, the frequencies are increases. The presented results of this model are verified with experimental and numerical results, which found as an excellent agreement.