Wavelet-Galerkin method for the free vibrations of an elastic cable carrying an attached mass

Journal of Sound and Vibration

Volumn 270, Issue 1-2, 2004, Pages 191-206

  Al Qassab, M ^a   Nair, S ^b  

^a UNIVERSITY OF BAHRAIN   (Bahrain)

^b Illinois Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; BOUNDARY CONDITIONS; ELASTICITY; GALERKIN METHODS; HAMILTONIANS; NATURAL FREQUENCIES; OSCILLATIONS; WAVELET TRANSFORMS;

DISPLACEMENT COMPONENTS; MASS LOCATION;

VIBRATIONS (MECHANICAL);

EID: 1642442768     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(03)00490-5     Document Type: Article

References (14)

1. S.S. Sergev, W.D. Iwan, The natural frequencies and mode shapes of cables with attached masses, Journal of Energy Resources Technology 103 (1981) 237-242.
2. F. Rosenthal, Vibrations of slack cables with discrete masses, Journal of Sound and Vibration 78 (4) (1981) 573-583.
3. S.P. Cheng, N.C. Perkins, Free vibration of a sagged cable supporting a discrete mass, Journal of the Acoustical Society of America 91 (5) (1992) 2654-2662.
4. H.M. Irvine, T.K. Caughey, The linear theory of free vibrations of a suspended cable, Proceedings of the Royal Society, London A-341 (1974) 299-315.
5. S.-P. Cheng, N.C. Perkins, Closed-form vibration analysis of sagged cable/mass suspensions, Journal of Applied Mechanics 59 (1992) 923-928.
6. S.-P. Cheng, N.C. Perkins, Theoretical and experimental analysis of the forced response of sagged cable/mass suspensions, Journal of Applied Mechanics 61 (1994) 944-948.
7. P. Yu, Explicit vibration solutions of a cable under complicated loads, Journal of Applied Mechanics 64 (1997) 957-964.
8. J.-C. Xu, W.-C. Shann, Galerkin-wavelets method for two-point boundary value problems, Numerische Mathematik 63 (1992) 123-144.
9. Mathematica, Wolfram Research, Inc., Champaign, IL, 1996.
10. I. Daubechies, Orthonormal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics 41 (1988) 909-996.
11. I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Regional Conference Series, in Applied Mathematics, SIAM, Philadelphia, PA, 1992.
12. E. Hernandez, G. Weiss, A First Course on Wavelets, CRC Press, Boca Raton, FL, 1996.
13. M.-Q. Chen, C. Hwang, Y.-P. Shih, The computation of wavelet-Galerkin approximation on a bounded interval, International Journal for Numerical Methods in Engineering 39 (1996) 2921-2944.
14. M. Al-Qassab, S. Nair, Wavelet-Galerkin method for the free vibrations of an elastic cable, Journal of Engineering Mechanics, American Society of Civil Engineers 129 (3) (2003) 350-357.