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http://dx.doi.org/10.12989/sem.2013.45.2.145

Static and free vibration analysis of shallow sagging inclined cables  

Li, Zhi-Jiang (Central South University)
Li, Peng (China ship development and design center)
He, Zeng (Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment)
Cao, Ping (Central South University)
Publication Information
Structural Engineering and Mechanics / v.45, no.2, 2013 , pp. 145-157 More about this Journal
Abstract
Based on link-model, we conducted a static analysis and computation of a three-span suspended cable structure in the present paper, and obtained the static configuration and tension distribution of the cable. Using the link and beam model based on finite element method, we analyzed the vibration modal of three-span suspended cable structure, and compared with the results obtained from ANSYS using link and beam element. The vibration modals of shallow sagging inclined cables calculated from proposed method agrees well with ANSYS results, which validates the proposed method. As a result, the influence of bend stiffness on in-plane natural frequencies is much greater than that on out-of-plane natural frequencies of inclined cables.
Keywords
inclined cables; link-model; beam-model; static analysis; non-linear vibration;
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1 Canelas, A. and Sensale, B. (2010), "A boundary knot method for harmonic elastic and viscoelastic problems using single-domain approach", Engineering Analysis with Boundary Elements, 34, 845-855.   DOI   ScienceOn
2 Desai, Y.M., Yu, P. and Popplewell, N. and Shah, A.H. (1995), "Finite element modeling of transmission line galloping", Computers and Structures, 57(3), 407-420.   DOI   ScienceOn
3 Desai, Y.M., Yu, P. and Shah, A.H. and Popplewell, N. (1996), "Perturbation based finite element analyses of transmission line galloping", Journal of Sound and Vibration, 191(4), 469-489.   DOI   ScienceOn
4 EI-Attar, M., Ghobarah, A. and Aziz, T.S. (2000), "Non-linear cable response of multiple support periodic excitation", Engineering Structures, 22(10), 1301-1312.   DOI   ScienceOn
5 Hagedorn, P. and Schäfer, B. (1980), "On non-linear free vibrations of an elastic cable", International Journal of Non-Linear Mechanics, 15, 333-340.   DOI   ScienceOn
6 Hassan, I.A., Murari, L.G. and Barrington, V.B. (1977), "Free vibrations of cable in three dimensions", Journal of the Structural Division, 103(5), 1127-1136.
7 Lacarbonara, W. and Pacitti, A. (2008), "Nonlinear modeling of cables with flexural stiffness", Mathematical Problems in Engineering, Vol. 2008, Article ID 370767, 21, doi:10.1155/2008/370767.   DOI
8 Lacarbonara, W., Paolone, A. and Vestroni, F. (2007), "Non-linear modal properties of non-shallow cables", International Journal of Non-Linear Mechanics, 42, 542-554.   DOI   ScienceOn
9 Nayfeh, A.H. and Balachandran, B. (1989), "Modal interactions in dynamical and structural systems", Journal of Applied Mechanics, 42(2), 175-201.   DOI
10 Perkins, N.C and Mote, C.D. (1987), "Three-dimensional vibration of traveling elastic cables", Journal of Sound and Vibration, 114(2), 325-340.   DOI   ScienceOn
11 Perkins, N.C. (1992), "Modal interactions in the non-linear response of elastic cables under parametric/external excitation", International Journal of Non-Linear Mechanics, 27(2), 233-250.   DOI   ScienceOn
12 Srinil, N., Rega, G. and Chucheepsakul, S. (2004), "Three-dimensional non-linear coupling and dynamic tension in the large-amplitude free vibrations of arbitrarily sagged cables", Journal of Sound and Vibration, 269, 823-852.   DOI   ScienceOn
13 Toge, K. and Hogari, K. (2008), "Effect of cabling on polarization mode dispersion in optical fiber ribbon cables", Optical Fiber Technology, 14, 149-153.   DOI   ScienceOn
14 Vassilopoulou, I. and Gantes, C.J. (2010), "Vibration modes and natural frequencies of saddle form cable nets", Computers and Structures, 88, 105-111.   DOI   ScienceOn
15 Wang, L.H. and Zhao, Y.Y. (2009), "Multiple internal resonances and non-planar dynamics of shallow suspended cables to the harmonic excitations", Journal of Sound and Vibration, 319, 1-14.   DOI   ScienceOn
16 Yu, Z. and Xu, Y.L. (1999), "Non-linear vibration of cable-damper systems part II: Application and verification", Journal of Sound and Vibration, 225(3), 465-481.   DOI   ScienceOn