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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한기계학회 Journal of Mechanical Science and Technology Journal of Mechanical Science and Technology Vol.20 No.2
- 발행연도
- 2006.2
- 수록면
- 191 - 196 (6page)
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초록· 키워드
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This paper presents the application of techniques of differential transformation method (DTM) to analyze the transverse vibration of a uniform Euler-Bernoulli beam under varying axial force. The governing differential equation of the transverse vibration of a uniform Euler-bernoulli beam under varying axial force is derived and verified. The varying axial force was extended to the more general case which was high polynomial consisted of many terms. The concepts of DTM were briefly introduced. Numerical calculations are carried out and compared with previous published results. The accuracy and the convergence in solving the problem by DTM are discussed.
목차
Abstract
1. Introduction
2. Differential Transformation Method
3. Governing Equations and Boundary Conditions
4. Application of Differential Transformation
5. Numerical Analysis and Discussions
6. Conclusions
References
참고문헌 (12)
참고문헌 신청
Bokaian, A., 1988, "Natural Frequencies of Beams Under Compressive Axial Loads," Journal of Sound and Vibration, Vol.126(1), pp.49~65.
Bokaian, A., 1990, "Natural Frequencies of Beams Under Tensile Axial Loads," Journal of Sound Vibration, Vol.142(3), pp.481~498.
Chung, T. J. and Park, Y. J., 1986, "Dynamic Characteristics of a Beam Subjected to an Axial Force and a Force of Time Dependent Frequency," Transactions of the KSME, Vol.10(4), pp.456~462.
Fauconneau, G. and Laird, W. M., 1976, "Bonds for the Natural Frequencies of a Simply Supported Beam Carrying a Uniformly Distributed Axial Load," Journal of Mechanical Engineering Science, Vol.9(2), pp.70~72.
Kuang, Chen. C. and Ho, S. H., 1996, "Application of Differential Transformation to Eigenvalue Problems," Applied Mathematics and Computation, Vol.79, pp.173~188.
Bokaian, A., 1990, "Natural Frequencies of Beams Under Tensile Axial Loads," Journal of Sound Vibration, Vol.142(3), pp.481~498.
Chung, T. J. and Park, Y. J., 1986, "Dynamic Characteristics of a Beam Subjected to an Axial Force and a Force of Time Dependent Frequency," Transactions of the KSME, Vol.10(4), pp.456~462.
Fauconneau, G. and Laird, W. M., 1976, "Bonds for the Natural Frequencies of a Simply Supported Beam Carrying a Uniformly Distributed Axial Load," Journal of Mechanical Engineering Science, Vol.9(2), pp.70~72.
Kuang, Chen. C. and Ho, S. H., 1996, "Application of Differential Transformation to Eigenvalue Problems," Applied Mathematics and Computation, Vol.79, pp.173~188.
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UCI(KEPA) : I410-ECN-0101-2009-550-015220513