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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.75 No.6
- 발행연도
- 2020.1
- 수록면
- 737 - 746 (10page)
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This paper attempts to investigate the free vibration of functionally graded material beams with nonuniform width based on the nonlocal elasticity theory. The theoretical formulations are established following the Euler–Bernoulli beam theory, and the governing equations of motion of the system are derived from the minimum total potential energy principle using the nonlocal elasticity theory. In addition, the Differential Quadrature Method (DQM) is applied, along with the Chebyshev-Gauss-Lobatto polynomials, in order to determine the weighting coefficient matrices. Furthermore, the effects of the nonlocal parameter, cross-section area of the functionally graded material (FGM) beam and various boundary conditions on the natural frequencies are examined. It is observed that the nonlocal parameter and boundary conditions significantly influence the natural frequencies of the functionally graded material beam cross-section. The results obtained, using the Differential Quadrature Method (DQM) under various boundary conditions, are found in good agreement with analytical and numerical results available in the literature.
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참고문헌 (23)
참고문헌 신청
Aydogdu, M. / 2009 / A general nonlocal beam theory : Its application to nanobeam bending, buckling and vibration / Physica E 41(9):1651~1655
D.V. Bambill / 2010 / Vibration analysis of rotating Timoshenko beams by means of the differential quadrature method / Structural Engineering and Mechanics, An Int＇l Journal 34(2):231~245
Bellman, R. E. / 1972 / Differential quadrature : A technique for the rapid solution of nonlinear partial differential equations / J. Comput. Phys 10(1):40~52
K.B. Bozdogan / 2012 / Differential quadrature method for free vibration analysis of coupled shear walls / Structural Engineering and Mechanics, An Int＇l Journal 41(1):67~81
Cem Ece, M. / 2007 / Vibration of a variable cross section beam / Mech. Res. Comm 34(1):78~84
D.V. Bambill / 2010 / Vibration analysis of rotating Timoshenko beams by means of the differential quadrature method / Structural Engineering and Mechanics, An Int＇l Journal 34(2):231~245
Bellman, R. E. / 1972 / Differential quadrature : A technique for the rapid solution of nonlinear partial differential equations / J. Comput. Phys 10(1):40~52
K.B. Bozdogan / 2012 / Differential quadrature method for free vibration analysis of coupled shear walls / Structural Engineering and Mechanics, An Int＇l Journal 41(1):67~81
Cem Ece, M. / 2007 / Vibration of a variable cross section beam / Mech. Res. Comm 34(1):78~84
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