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Research Papers

Forced Vibration of Overhead Transmission Line: Analytical and Experimental Investigation

[+] Author and Article Information
O. Barry

Department of Mechanical
and Industrial Engineering,
University of Toronto,
Toronto, ON M5S 3G8, Canada
e-mail: oumar.barry@utoronto.ca

J. W. Zu

Department of Mechanical
and Industrial Engineering,
University of Toronto,
Toronto, ON M5S 3G8, Canada

D. C. D. Oguamanam

Department of Mechanical
and Industrial Engineering,
Ryerson University,
Toronto, ON M5B 2K3, Canada

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 9, 2013; final manuscript received April 29, 2014; published online May 22, 2014. Assoc. Editor: Mohammed Daqaq.

J. Vib. Acoust 136(4), 041012 (May 22, 2014) (8 pages) Paper No: VIB-13-1393; doi: 10.1115/1.4027578 History: Received November 09, 2013; Revised April 29, 2014

An analytical model of a single line transmission line carrying a Stockbridge damper is developed based on the Euler–Bernoulli beam theory. The conductor is modeled as an axially loaded beam and the messenger is represented as a beam with a tip mass at each end. Experiments are conducted to validate the proposed model. An explicit expression is presented for the damping ratio of the conductor. Numerical examples show that the proposed model is more accurate than the models found in the literature. Parametric studies indicate that the response of the conductor significantly depends on the excitation frequency, the location of the damper, and the damper parameters.

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References

Figures

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Fig. 6

Conductor damping constant for fixed frequency for T = 25% RTS

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Fig. 7

Conductor damping constant for a fixed vibration amplitude for T = 20% RTS

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Fig. 8

Conductor damping constant for fixed vibration amplitude for T = 25% RTS

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Fig. 9

Vibration response of the conductor with and without self-damping for F0 = 22.5 N, f = 26.5 Hz, and ζ = 0.006

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Fig. 3

Schematic of experimental setup

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Fig. 4

Photograph of the conductor, shaker, load cell, and accelerometer

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Fig. 5

Conductor damping constant for fixed frequency for T = 20% RTS

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Fig. 2

Close-up of damper

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Fig. 1

Schematic of a single conductor with a Stockbridge damper

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Fig. 13

Vibration response of a typical span length of transmission line with and without a damper

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Fig. 14

Bending strain of a typical span length of transmission line with and without dampers

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Fig. 10

Validation for the bare conductor

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Fig. 11

Validation for the loaded conductor (Ld=Lc2)

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Fig. 12

Effect of damper location for F0 = 22.5 N, f = 26.5 Hz, and ζ = 0.006

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