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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.74 No.2
- 발행연도
- 2020.1
- 수록면
- 175 - 187 (13page)
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초록· 키워드
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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.
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참고문헌 (75)
참고문헌 신청
Hadj Henni Abdelaziz / 2017 / An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions / Steel and Composite Structures, An International Journal 25(6):693~704
Abualnour, M. / 2018 / A novel quasi-3D trigonometric plate theory for free vibration analysis of advanced composite plates / Compos. Struct 184:688~697
Abdelouahed Tounsi / 2016 / Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept / Steel and Composite Structures, An International Journal 20(5):963~981
Al-Basyouni, K. S. / 2015 / Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position / Compos. Struct 125:621~630
Baluch, M. H. / 1984 / Technical theory of beams with normal strain / J. Eng. Mech 110(8):1233~1237
Abualnour, M. / 2018 / A novel quasi-3D trigonometric plate theory for free vibration analysis of advanced composite plates / Compos. Struct 184:688~697
Abdelouahed Tounsi / 2016 / Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept / Steel and Composite Structures, An International Journal 20(5):963~981
Al-Basyouni, K. S. / 2015 / Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position / Compos. Struct 125:621~630
Baluch, M. H. / 1984 / Technical theory of beams with normal strain / J. Eng. Mech 110(8):1233~1237
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