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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.61 No.6
- 발행연도
- 2017.1
- 수록면
- 721 - 736 (16page)
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초록· 키워드
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In this paper, free vibration characteristics of functionally graded (FG) nanobeams embedded on elastic medium are investigated based on third order shear deformation (Reddy) beam theory by presenting a Navier type solution for the first time. The material properties of FG nanobeam are assumed to vary gradually along the thickness and are estimated through the power-law and Mori-Tanaka models. A two parameters elastic foundation including the linear Winkler springs along with the Pasternak shear layer is in contact with beam. The small scale effect is taken into consideration based on nonlocal elasticity theory of Eringen. The nonlocal equations of motion are derived based on third order shear deformation beam theory through Hamilton’s principle and they are solved applying analytical solution. According to the numerical results, it is revealed that the proposed modeling can provide accurate frequency results of the FG nanobeams as compared to some cases in the literature. The obtained results are presented for the vibration analysis of the FG nanobeams such as the influences of foundation parameters, gradient index, nonlocal parameter and slenderness ratio in detail.
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참고문헌 (56)
참고문헌 신청
Alizada, A. N. / 2011 / On the mechanics of deformation and stability of the beam with a nanocoating / J. Reinf. Plast. Compos 30(18):1583~1595
Alshorbagy, A. E. / 2011 / Free vibration characteristics of a functionally graded beam by finite element method / Appl. Math. Model 35(1):412~425
Ansari, R. / 2015 / Size-dependent nonlinear forced vibration analysis of magneto-electro-thermoelastic Timoshenko nanobeams based upon the nonlocal elasticity theory / Compos. Struct 126:216~226
Ansari, R. / 2011 / Free vibration analysis of size-dependent functionally graded microbeams based on the strain gradient Timoshenko beam theory / Compos. Struct 94(1):221~228
Asghari, M. / 2011 / The modified couple stress functionally graded Timoshenko beam formulation / Mater. Des 32(3):1435~1443
Alshorbagy, A. E. / 2011 / Free vibration characteristics of a functionally graded beam by finite element method / Appl. Math. Model 35(1):412~425
Ansari, R. / 2015 / Size-dependent nonlinear forced vibration analysis of magneto-electro-thermoelastic Timoshenko nanobeams based upon the nonlocal elasticity theory / Compos. Struct 126:216~226
Ansari, R. / 2011 / Free vibration analysis of size-dependent functionally graded microbeams based on the strain gradient Timoshenko beam theory / Compos. Struct 94(1):221~228
Asghari, M. / 2011 / The modified couple stress functionally graded Timoshenko beam formulation / Mater. Des 32(3):1435~1443
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