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Research Papers

Optimal Damping of a Taut Cable Under Random Excitation

[+] Author and Article Information
Alok Sinha

Department of Mechanical
and Nuclear Engineering,
The Pennsylvania State University,
University Park, PA 16802
e-mail: axs22@psu.edu

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received September 20, 2015; final manuscript received March 31, 2016; published online May 24, 2016. Assoc. Editor: Nicole Kessissoglou.

J. Vib. Acoust 138(4), 041010 (May 24, 2016) (8 pages) Paper No: VIB-15-1396; doi: 10.1115/1.4033356 History: Received September 20, 2015; Revised March 31, 2016

This paper deals with the optimal damping of a taut cable when the excitation is random in nature. Both white noise and narrow band (NB) random excitations are considered. Effects of spatial correlations of random excitations on the taut cable and the external damper's support flexibility are studied. A general procedure to construct a root loci plot is developed. Numerical results are presented and compared with optimal damping values for free vibration.

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Figures

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Fig. 1

A taut cable with a damper on a flexible support

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Fig. 6

Optimal response reduction versus nondimensional stiffness of damper support γk (white noise excitation, γk=∞ lines are asymptotes)

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Fig. 2

Root locus plot with five modes for variations in damper support stiffness γk from zero (x) to infinity (o) (real and imaginary parts are to be multiplied by ω1)

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Fig. 3

Root locus plot with ten modes for variations in damper support stiffness γk from zero (x) to infinity (o) (real and imaginary parts are to be multiplied by ω1)

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Fig. 4

Optimal damping ratio ξa versus nondimensional stiffness of damper support γk (white noise excitation, γk=∞ lines are asymptotes)

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Fig. 5

Maximum response variance versus damping ratio ξa (white noise excitation)

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Fig. 7

Maximum response variance versus damping ratio ξa (NB random excitation)

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Fig. 8

Optimal damping ratio ξa versus nondimensional stiffness of damper support γk (NB random excitation, γk=∞ lines are asymptotes)

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Fig. 9

Optimal response reduction versus nondimensional stiffness of damper support γk (NB random excitation, γk=∞ lines are asymptotes)

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