Commenced in January 2007
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##### Finite Element Modeling of Stockbridge Damper and Vibration Analysis: Equivalent Cable Stiffness

Authors: Nitish Kumar Vaja, Oumar Barry, Brian DeJong

Abstract:

Aeolian vibrations are the major cause for the failure of conductor cables. Using a Stockbridge damper reduces these vibrations and increases the life span of the conductor cable. Designing an efficient Stockbridge damper that suits the conductor cable requires a robust mathematical model with minimum assumptions. However it is not easy to analytically model the complex geometry of the messenger. Therefore an equivalent stiffness must be determined so that it can be used in the analytical model. This paper examines the bending stiffness of the cable and discusses the effect of this stiffness on the natural frequencies. The obtained equivalent stiffness compensates for the assumption of modeling the messenger as a rod. The results from the free vibration analysis of the analytical model with the equivalent stiffness is validated using the full scale finite element model of the Stockbridge damper.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1340226

References:

[1] O. M. Griffin and G. H. Koopmann, 1977. The Vortex-Excited Lift and Reaction Forces on Resonantly Vibrating Cylinders, Journal of Sound and Vibration, Volume 54, Issue 3, 8 October 1977, Pages 435-448.
[2] EPRI. 2006. Transmission Line Reference Book, Wind Induced Conductor Motion, Palo Alto, California: Electrical Power Research institute.
[3] D. Havard. 2008. Assessment of the Cowal JCT x Longwood TS for Vibration Control, Toronto, Ontario.
[4] Sauter, D., and P. Hagedorn. On the Hysteresis of Wire Cables in Stockbridge Dampers. International Journal of Non-Linear Mechanics 37.8 (2002): 1453-1459.
[5] G. Stockbridge. 1925. Vibration Damper Patent No.1675391, USA Patent Office.
[6] Schmidt, J. T. and Biedenbach, G. and Krispin, H. J., 1997.Laboratory Measurement of the Power Dissipation Characteristics of Aeolian Vibration Dampers,IEEE Transactions on Power Delivery, Vol. 12, No. 4, October 1997.
[7] Guide on the Measurement of the Performance of Aeolian Vibration Dampers for Single Conductors, IEEE Std. 664-1993, 1993.
[8] Luo, Xiaoyu and Wang, Liang and Zhang, Yisheng, 2014. Nonlinear Numerical Model with Contact for Stockbridge Vibration Damper and Experimental Validation. Journal of Vibration and Control. DOI = 10.1177/1077546314535647.
[9] Oumar Barry, Jean Zu, 2013. Vibration Analysis of Stockbridge Damper: Expiremental Verification. Proceedings of the 24th CANCAM Saskatoon, Saskatchewan, Canada, June 2-6, 2013.
[10] D. Feldman. 2000. Aeolian Vibration: Possible Effects of Non Linear Behaviour of Stockbridge Dampers, Electricite de France.
[11] Wagner, H., Ramamurti, V., Sastry, R., and Hartman, K. 1973. Dynamics of Stockbridge Dampers, Journal of Sound and vibration, vol. 30, pp. 207-220.
[12] Pakdemirli, M., and Nayfeh, A. H., 1994. Nonlinear Vibration of a Beam- Spring-Mass System. ASME J. Vib. Acoust., 166(4), pp. 433438.
[13] Ozkaya, E., 2001. Non-Linear Vibrations of a Simply-Supported Carrying Concentrated Masses. J. Sound Vib., 257(3), pp. 413424.
[14] Oumar Barry, J. W. Zu, D. C. D. Oguamanam, 2015. Nonlinear Dynamics of Stockbridge Dampers.Journal of Dynamic Systems, Measurement, and Control. June 2015, Vol. 137 / 061017-1.
[15] Krispin, H. J. and Fuchs, S. and Hagedorn, P., 2007. Optimization of the Efficiency of Aeolian Vibration Dampers. IEEE PES PowerAfrica 2007 Conference and Exposition Johannesburg, South Africa, 16-20 July 2007.