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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.69 No.2
- 발행연도
- 2019.1
- 수록면
- 205 - 219 (15page)
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This paper analyzes nonlinear free vibration of the circular nano-tubes made of functionally graded materials in the framework of nonlocal strain gradient theory in conjunction with a refined higher order shear deformation beam model. The effective material properties of the tube related to the change of temperature are assumed to vary along the radius of tube based on the power law. The refined beam model is introduced which not only contains transverse shear deformation but also satisfies the stress boundary conditions where shear stress cancels each other out on the inner and outer surfaces. Moreover, it can degenerate the Euler beam model, the Timoshenko beam model and the Reddy beam model. By incorporating this model with Hamilton’s principle, the nonlinear vibration equations are established. The equations, including a material length scale parameter as well as a nonlocal parameter, can describe the size-dependent in linear and nonlinear vibration of FGM nanotubes. Analytical solution is obtained by using a two-steps perturbation method. Several comparisons are performed to validate the present analysis. Eventually, the effects of various physical parameters on nonlinear and linear natural frequencies of FGM nanotubes are analyzed, such as inner radius, temperature, nonlocal parameter, strain gradient parameter, scale parameter ratio, slenderness ratio, volume indexes, different beam models.
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참고문헌 (103)
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
Youcef Mokhtar / 2018 / A novel shear deformation theory for buckling analysis of single layer graphene sheet based on nonlocal elasticity theory / Smart Structures and Systems, An International Journal 21(4):397~405
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
Aifantis, E. C. / 1992 / On the role of gradients in the localization of deformation and fracture / Int. J. Eng. Sci 30(10):1279~1299
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
Youcef Mokhtar / 2018 / A novel shear deformation theory for buckling analysis of single layer graphene sheet based on nonlocal elasticity theory / Smart Structures and Systems, An International Journal 21(4):397~405
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
Aifantis, E. C. / 1992 / On the role of gradients in the localization of deformation and fracture / Int. J. Eng. Sci 30(10):1279~1299
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
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