Nonlinear Revision of the Linear Model for Stockbridge Vibration Damper and Experiment Validation

Abstract:

Stockbridge vibration damper is widely used in overhead transmission lines to alleviate the wind-induced aeoline vibration. In the past few decades, linear analytic model had been developed to interpret characteristics of the vibration damper. However, nonlinear vibration characteristics of the damper have rarely been studied theoretically. In this paper, experiment was set up to reveal the nonlinearity during the vibration of the Stockbridge vibration damper. Then the linear model was revised by considering the supporting part of the strand steel cable as elastic foundation. This makes the length of the cable a variable depending on the deflection of the cable, which is affected by the vibration velocity. Results obtained from the nonlinear revised model compare better with experiment than those from linear model.

• Periodical: Applied Mechanics and Materials (Volume 328)
• Pages: 504-508
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.328.504
• Online since: June 2013
• Authors: Xiao Yu Luo, Yi Sheng Zhang, Yong Ping Zheng
• Keywords: Modal Analysis, Nonlinear Vibration, Revised Model, Vibration Damper

References

[1] A. L. Braun and A. M. Awruch, "Aerodynamic and aeroelastic analyses on the CAARC standard tall building model using numerical simulation," Computers & Structures(2009), vol.87, pp.564-581.

DOI: 10.1016/j.compstruc.2009.02.002

[2] Z. Y. Pan, W. C. Cui and Q. M. Miao, "Numerical simulation of vortex-induced vibration of a circular cylinder at low mass-damping using RANS code," Journal of Fluids and Structures, vol.23, (2007), pp.23-37.

DOI: 10.1016/j.jfluidstructs.2006.07.007

[3] H. Wagner, V. Ramamurti, R. V. R. Sastry and K. Hartmann, "Dynamics of Stockbridge dampers," Journal of Sound and Vibration, vol.30, (1973), pp.207-220

DOI: 10.1016/s0022-460x(73)80114-2

[4] X. Luo, Y. Zhang and Y. Zheng, "Vibration performance analysis of FR vibration damper using finite elements method," in Proc.20112010 International Conference on Frontiers of Manufacturing and Design Science, ICFMD2010, December 11, 2010 - December 12, 2010, pp.1268-1272.

DOI: 10.4028/www.scientific.net/amm.44-47.1268

[5] D. Sauter and P. Hagedorn, "On the hysteresis of wire cables in Stockbridge dampers," International Journal of Non-Linear Mechanics, vol.37,(2002), pp.1453-1459.

DOI: 10.1016/s0020-7462(02)00028-8

[6] M. L. Lu and J. K. Chan, "An Efficient Algorithm for Aeolian Vibration of Single Conductor WithMultiple Dampers," Power Delivery, IEEE Transactions on, vol.22, (2007), pp.1822-1829.

DOI: 10.1109/tpwrd.2007.899779

[7] M. Markiewicz, "Optimum dynamic characteristics of Stockbridge dampers for dead-end spans," Journal of Sound and Vibration, vol.188, (1995), pp.243-256.

DOI: 10.1006/jsvi.1995.0589

[8] J. Vecchiarelli, I. G. Currie and D. G. Havard, "Computational analysis of aeolian conductor vibration with a stockbridge-type damper," Journal of Fluids and Structures (2000),vol.14,pp.489-509.

DOI: 10.1006/jfls.1999.0279

[9] W. J. D. Y. XuNaiguan, "Inquire into Mechanical Properties of Vibration Damps," Electric Power Construction (2001), vol.22, pp.8-11.

[10] IEEE guide for laboratory measurement of the power dissipation characteristics of aeolian vibration dampers for single conductors, IEEE Std 664-1993, (1993).