• Structural Engineering and Mechanics
• /
• 제74권2호
• /
• pp.175-187
• /
• 2020

The theories having been developed thus far account for higher-order variation of transverse shear strain through the depth of the beam and satisfy the stress-free boundary conditions on the top and bottom surfaces of the beam. A shear correction factor, therefore, is not required. In this paper, the effect of surface on the axial buckling and free vibration of nanobeams is studied using various refined higher-order shear deformation beam theories. Furthermore, these theories have strong similarities with Euler-Bernoulli beam theory in aspects such as equations of motion, boundary conditions, and expressions of the resultant stress. The equations of motion and boundary conditions were derived from Hamilton's principle. The resultant system of ordinary differential equations was solved analytically. The effects of the nanobeam length-to-thickness ratio, thickness, and modes on the buckling and free vibration of the nanobeams were also investigated. Finally, it was found that the buckling and free vibration behavior of a nanobeam is size-dependent and that surface effects and surface energy produce significant effects by increasing the ratio of surface area to bulk at nano-scale. The results indicated that surface effects influence the buckling and free vibration performance of nanobeams and that increasing the length-to-thickness increases the buckling and free vibration in various higher-order shear deformation beam theories. This study can assist in measuring the mechanical properties of nanobeams accurately and designing nanobeam-based devices and systems.

• Steel and Composite Structures
• /
• 제35권1호
• /
• pp.1-12
• /
• 2020

This article deals with the buckling analysis in the plates containing carbon nanotubes (CNTs) subject to axial load. In order to control the plate smartly, a piezoelectric layer covered the plate. The plate is located in elastic medium which is modeled by spring elements. The Mori-Tanaka low is utilized for calculating the equivalent mechanical characteristics of the plate. The structure is modeled by a thick plate and the governing equations are deduced using Hamilton's principle under the assumption of higher-order shear deformation theory (HSDT). The Navier method is applied to obtain the bulking load. The effects of the applied voltage to the smart layer, agglomeration and volume percent of CNT nanoparticles, geometrical parameters and elastic medium of the structure are assessed on the buckling response. It has been demonstrated that by applying a negative voltage, the buckling load is increased significantly.

• 한국지반공학회논문집
• /
• 제31권9호
• /
• pp.39-51
• /
• 2015

근래 구조물 기초보강을 위한 마이크로파일공법의 적용사례가 점차 증가하고 있으며, 이에 따른 관련 연구가 다수 수행되고 있다. 그러나 국내 연구는 대부분 Case. I, II-Type의 지지거동에 국한되어 마이크로파일 자체의 구조적 검토에 대한 연구는 미미한 실정이다. 따라서 본 논문에서는 국내에서 주로 사용되는 마이크로 파일에 대한 각각의 강봉 및 그라우트조건에 따른 좌굴특성을 검토하였다. 검토결과 마이크로파일 직경이 작을수록 지반의 임계좌굴점착력($C_{ucr}$)는 증가하게 되며, 특히 임계좌굴길이($L_{cr}$) 이하에서는 마이크로파일 길이가 길수록 임계좌굴하중($P_{cr}$)이 감소함을 알 수 있었다. 또한 축하중을 받는 마이크로파일의 좌굴파괴와 압축파괴 가능성을 구분, 평가할 수 있는 방법을 제시하였다.