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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2012.3
- 수록면
- 223 - 233 (11page)
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This paper deals with free vibrations of the tapered Timoshenko beam with constant volume, in which both the rotatory inertia and shear deformation are included. The cross section of the tapered beam is chosen as the regular polygon cross section whose depth is varied with the parabolic function. The ordinary differential equations governing free vibrations of such beam are derived based on the Timoshenko beam theory by decomposing the displacements. Governing equations are solved for determining the natural frequencies corresponding with their mode shapes. In the numerical examples, three end constraints of the hinged-hinged, hinged-clamped and clamped-clamped ends are considered. The effects of various beam parameters on natural frequencies are extensively discussed. The mode shapes of both the deflections and stress resultants are presented, in which the composing rates due to bending rotation and shear deformation are determined.
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참고문헌 (15)
참고문헌 신청
1. [학술지(정기간행물)] - Takahashi, I. / 1999 / Vibration and Stability of Non-uniform Cracked Timoshenko Beam Subjected to Follower Force / Computers & Structures 71 : 585 ~ 591
2. [학술지(정기간행물)] - Zhou, D. / 2000 / Free Vibration of Multi-span Timoshenko Beams using Static Timoshenko Beam Functions / Journal of Sound and Vibration 241 (4) : 725 ~ 734
3. [학술지(정기간행물)] - Zhong, H. / 2003 / Nonlinear Vibration of Timoshenko Beams using the Differential Quadrature Method / Nonlinear Dynamics 32 : 223 ~ 234
4. [학술지(정기간행물)] - Yardimoglu, B. / 2004 / Finite Element Model for Vibration Analysis of Pre-twisted Timoshenko Beam / Journal of Sound and Vibration 273 : 741 ~ 754
5. [학술지(정기간행물)] - Lee, B. K. / 1999 / Coupled Flexural-torsional Vibrations of Timoshenko Beams of Monosymmetric Cross-section Including Warping / Transactions of the Korea Society for Noise and Vibration Engineering 9 (5) : 1012 ~ 1018
2. [학술지(정기간행물)] - Zhou, D. / 2000 / Free Vibration of Multi-span Timoshenko Beams using Static Timoshenko Beam Functions / Journal of Sound and Vibration 241 (4) : 725 ~ 734
3. [학술지(정기간행물)] - Zhong, H. / 2003 / Nonlinear Vibration of Timoshenko Beams using the Differential Quadrature Method / Nonlinear Dynamics 32 : 223 ~ 234
4. [학술지(정기간행물)] - Yardimoglu, B. / 2004 / Finite Element Model for Vibration Analysis of Pre-twisted Timoshenko Beam / Journal of Sound and Vibration 273 : 741 ~ 754
5. [학술지(정기간행물)] - Lee, B. K. / 1999 / Coupled Flexural-torsional Vibrations of Timoshenko Beams of Monosymmetric Cross-section Including Warping / Transactions of the Korea Society for Noise and Vibration Engineering 9 (5) : 1012 ~ 1018
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