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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.72 No.2
- 발행연도
- 2019.1
- 수록면
- 229 - 244 (16page)
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초록· 키워드
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Weak form integral equations are developed to investigate the flapwise bending vibration of the rotating beams. Rayleigh and Eringen nonlocal elasticity theories are used to investigate the rotatory inertia and Size-dependency effects on the flapwise bending vibration of the rotating cantilever beams, respectively. Through repetitive integrations, the governing partial differential equations are converted into weak form integral equations. The novelty of the presented approach is the approximation of the mode shape function by a power series which converts the equations into solvable one. Substitution of the power series into weak form integral equations results in a system of linear algebraic equations. The natural frequencies are determined by calculation of the non-trivial solution for resulting system of equations. Accuracy of the proposed method is verified through several numerical examples, in which the influence of the geometry properties, rotatory inertia, rotational speed, taper ratio and size-dependency are investigated on the natural frequencies of the rotating beam. Application of the weak form integral equations has made the solution simpler and shorter in the mathematical process. Presented relations can be used to obtain a close-form solution for quick calculation of the first five natural frequencies of the beams with flapwise vibration and non-local effects. The analysis results are compared with those obtained from other available published references.
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참고문헌 (40)
참고문헌 신청
S. Adhikari / 2013 / Dynamic finite element analysis of axially vibrating nonlocal rods / Finite Elements in Analysis and Design 63:42~50
J. Aranda-Ruiz / 2012 / Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory / Composite Structures 94(9):2990~3001
Tolga Aksencer / 2011 / Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory / Physica E: Low-dimensional Systems and Nanostructures 43(4):954~959
Metin Aydogdu / 2009 / Axial vibration of the nanorods with the nonlocal continuum rod model / Physica E: Low-dimensional Systems and Nanostructures 41(5):861~864
J.R. Banerjee / 2013 / Free vibration of a rotating tapered Rayleigh beam: A dynamic stiffness method of solution / Computers & Structures 124:11~20
J. Aranda-Ruiz / 2012 / Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory / Composite Structures 94(9):2990~3001
Tolga Aksencer / 2011 / Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory / Physica E: Low-dimensional Systems and Nanostructures 43(4):954~959
Metin Aydogdu / 2009 / Axial vibration of the nanorods with the nonlocal continuum rod model / Physica E: Low-dimensional Systems and Nanostructures 41(5):861~864
J.R. Banerjee / 2013 / Free vibration of a rotating tapered Rayleigh beam: A dynamic stiffness method of solution / Computers & Structures 124:11~20
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