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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Smart Structures and Systems, An International Journal Smart Structures and Systems, An International Journal Vol.21 No.3
- 발행연도
- 2018.1
- 수록면
- 279 - 286 (8page)
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초록· 키워드
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The free longitudinal vibration of a circular truncated nanocone is investigated based on the nonlocal elasticity theory. Exact analytical formulations for tapered nanostructures are derived and the nonlinear differential governing equation of motion is developed. The nonlocal small scale effect unavailable in classical continuum theory is addressed to reveal the long-range interaction of atoms implicated in nonlocal constitutive relation. Unlike most previous studies applying the truncation method to the infinite higher-order differential equation, this paper aims to consider all higher-order terms to show the overall nonlocality. The explicit solution of nonlocal stress for longitudinal deformation is determined and it is an infinite series incorporating the classical stress derived in classical mechanics of materials and the infinite higher-order derivative of longitudinal displacement. Subsequently, the first three modes natural frequencies are calculated numerically and the significant effects of nonlocal small scale and vertex angle on natural frequencies are examined. The coupling phenomenon of natural frequency is observed and it is induced by the combined effects of nonlocal small scale and vertex angle. The critical value of nonlocal small scale is defined, and after that a new proposal for determining the range of nonlocal small scale is put forward since the principle of choosing the nonlocal small scale is still unclear at present. Additionally, two different types of nonlocal effects, namely the nonlocal stiffness weakening and strengthening, reversed phenomena existing in nanostructures are observed and verified. Hence the opposite nonlocal effects are resolved again clearly. The nano-engineers dealing with a circular truncated nanocone-based sensors and oscillators may benefit from the present work.
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참고문헌 (42)
참고문헌 신청
Aifantis, E.C. / 2011 / On the gradient approach-relation to Eringen's nonlocal theory / Int. J. Eng. Sci. 49(12):1367~1377
Aifantis, E.C. / 2016 / Internal length gradient (ILG) material mechanics acrossscales & disciplines / Adv. Appl. Mech. 49:1~110
Anjomshoa, A. / 2014 / Finite element buckling analysis of multi-layered graphene sheets on elastic substrate based on nonlocal elasticity theory / Appl. Math. Model. 38(24):5934~5955
Challamel, N. / 2016 / Buckling and vibrations of microstructured rectangular plates considering phenomenological and lattice-based nonlocal continuum models / Compos. Struct. 149:145~156
Dastjerdi, S. / 2016 / The effect of vacant defect on bending analysis of graphene sheets based on the Mindlin nonlocal elasticity theory / Compos. Part B - Eng. 98:78~87
Aifantis, E.C. / 2016 / Internal length gradient (ILG) material mechanics acrossscales & disciplines / Adv. Appl. Mech. 49:1~110
Anjomshoa, A. / 2014 / Finite element buckling analysis of multi-layered graphene sheets on elastic substrate based on nonlocal elasticity theory / Appl. Math. Model. 38(24):5934~5955
Challamel, N. / 2016 / Buckling and vibrations of microstructured rectangular plates considering phenomenological and lattice-based nonlocal continuum models / Compos. Struct. 149:145~156
Dastjerdi, S. / 2016 / The effect of vacant defect on bending analysis of graphene sheets based on the Mindlin nonlocal elasticity theory / Compos. Part B - Eng. 98:78~87
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