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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.21 No.8
- 발행연도
- 2007.8
- 수록면
- 1,207 - 1,217 (11page)
이용수
초록· 키워드
오류제보하기
The differential quadrature method (DQM) is applied to computation of the eigenvalues of small amplitude free vibration for thin-walled curved beams including a warping contribution. Natural frequencies are calculated for singlespan, curved, wide-flange uniform beams having a range of nondimensional parameters representing variations in warping stiffness, torsional stiffness, radius of curvature, included angle of the curve, polar mass moment of inertia, and various end conditions. Results are compared with existing exact and numerical solutions by other methods for cases in which they are available. It is found that the DQM gives good accuracy even when only a limited number of grid points is used. In addition, results are given for a cantilever beam not previously considered for this problem. Finally, parametric results are presented in dimensionless form.
목차
Abstract
1. Introduction
2. Governing differential equations
3. Differential quadrature method
4. Application
5. Numerical results and comparisons
6. Conclusions
Acknowledgment
References
참고문헌 (22)
참고문헌 신청
Bell, R. E. and Casti, J., 1971, “Differential Quadrature and Long-term Integration,” Journal of Mathematical Analysis and Application, Vol. 34, pp. 235~238.
Chaudhuri, S. K. and Shore, S., 1977, “Thin-Walled Curved Beam Finite Element,” Journal of Structural Division, ASCE, Vol. 103, pp. 921~937.
Culver, C. G., 1967, “Natural Frequenciesof Horizontally Curved Beams,” Journal of Structural Division, ASCE,Vol. 93, pp. 189~203.
Den Hartog, J. P., 1928, “The Lowest Natural Frequency of Circular Arcs,” Philosophical Magazine, Series 7, Vol. 5, pp. 400~408.
Hamming, R. W., 1973, Numerical Methods for Scientists and Engineers,Ed., McGraw-Hill Book Co., New York, N. Y.
Chaudhuri, S. K. and Shore, S., 1977, “Thin-Walled Curved Beam Finite Element,” Journal of Structural Division, ASCE, Vol. 103, pp. 921~937.
Culver, C. G., 1967, “Natural Frequenciesof Horizontally Curved Beams,” Journal of Structural Division, ASCE,Vol. 93, pp. 189~203.
Den Hartog, J. P., 1928, “The Lowest Natural Frequency of Circular Arcs,” Philosophical Magazine, Series 7, Vol. 5, pp. 400~408.
Hamming, R. W., 1973, Numerical Methods for Scientists and Engineers,Ed., McGraw-Hill Book Co., New York, N. Y.
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