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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.11
- 발행연도
- 2006.11
- 수록면
- 1,790 - 1,800 (11page)
이용수
초록· 키워드
오류제보하기
Dynamic behavior of flexural-torsional coupled vibration of rotating beams using the Rayleigh-Ritz method with orthogonal polynomials as basis functions is studied. Performance of various orthogonal polynomials is compared to each other in terms of their efficiency and accuracy in determining the required natural frequencies. Orthogonal polynomials and functions studied in the present work are; Legendre, Chebyshev, integrated Legendre, modified Duncan polynomials, the special trigonometric functions used in conjunction with Hermite cubics, and beam characteristic orthogonal polynomials. A total of 5 cases of beam boundary conditions and rotation are studied for their natural frequencies. The obtained natural frequencies and mode shapes are compared to those available in various references and the results for coupled flexural-torsional vibrations are especially compared to both previously available references and with those obtained using NASTRAN finite element package. Among all the examined orthogonal functions, Legendre orthogonal polynomials are the most efficient in overall CPU time, mainly because of ease in performing the integration required for determining the stiffness and mass matrices.
목차
영어 초록
1. Introduction
2. Equations of Motion and Boundary Conditions
3. Derivation of Mass and Stiffness Matrices
4. Approximating Functions
5. Results
6. Summary and Conclusion
Acknowledgements
References
참고문헌 (15)
참고문헌 신청
Banerjee, J. R. and Fisher S. A., 1992, "Coupled Bending-Torsional Dynamic Stiffness Matrix for Axially Loaded Beam Elements," International Journal for Numerical Methods in Engineering, Vol.33, pp.739~751.
Bardell, N. S., Dunsdon, J. M., and Langley, R. S., 1993, "Free Vibration of Thin, Isotropic, Open, Conical Panels," Journal of Sound and Vibration, Vol.217, No.2, pp.297~320.
Bercin, A. N. and Tanaka, M., 1997, "Coupled Flexural-Torsional Vibrations of Timoshenko Beams," Journal of Sound and Vibration, Vol.207, No.1, pp.47~59.
Bhat, R. B., 1986, "Transverse Vibrations of a Rotating Uniform Cantilever Beam with Tip Mass as Predicted by Using beam Characteristic Orthogonal Polynomials in the Rayleigh-Ritz Method," Journal of Sound and Vibration, Vol.105, No.2, pp.199~210.
Bishop, R. E. D., Cannon, S. M. and Miao, S., 1989, "On Coupled Bending and Torsional Vibration of Uniform Beams," Journal of Sound and Vibration, Vol.131, No.3, pp.457~464.
Bardell, N. S., Dunsdon, J. M., and Langley, R. S., 1993, "Free Vibration of Thin, Isotropic, Open, Conical Panels," Journal of Sound and Vibration, Vol.217, No.2, pp.297~320.
Bercin, A. N. and Tanaka, M., 1997, "Coupled Flexural-Torsional Vibrations of Timoshenko Beams," Journal of Sound and Vibration, Vol.207, No.1, pp.47~59.
Bhat, R. B., 1986, "Transverse Vibrations of a Rotating Uniform Cantilever Beam with Tip Mass as Predicted by Using beam Characteristic Orthogonal Polynomials in the Rayleigh-Ritz Method," Journal of Sound and Vibration, Vol.105, No.2, pp.199~210.
Bishop, R. E. D., Cannon, S. M. and Miao, S., 1989, "On Coupled Bending and Torsional Vibration of Uniform Beams," Journal of Sound and Vibration, Vol.131, No.3, pp.457~464.
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