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Technical Brief

Galloping of a Wind-Excited Tower Under Internal Parametric Damping

[+] Author and Article Information
Lahcen Mokni, Ilham Kirrou

Laboratory of Mechanics,
University Hassan II-Casablanca,
Casablanca, Morocco

Mohamed Belhaq

Laboratory of Mechanics,
University Hassan II-Casablanca,
Casablanca, Morocco

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received August 14, 2013; final manuscript received January 6, 2014; published online February 5, 2014. Assoc. Editor: Mohammed Daqaq.

J. Vib. Acoust 136(2), 024503 (Feb 05, 2014) (7 pages) Paper No: VIB-13-1288; doi: 10.1115/1.4026505 History: Received August 14, 2013; Revised January 06, 2014

The effect of harmonic internal parametric damping (IPD) on the amplitude and the onset of the periodic galloping of a tower is investigated in the presence of steady and unsteady wind. The structure is modeled by a lumped single degree of freedom (sdof) equation and attention is focused on the cases where the unsteady (turbulent) wind activates the external excitation, the parametric one, or both. A perturbation analysis is performed to approximate periodic solutions and the effect of the IPD on the amplitude and the onset of periodic galloping is examined in different cases of loading. It is shown that the IPD substantially improves the reduction in the galloping amplitude for all cases of loading and it has no influence on the galloping onset.

FIGURES IN THIS ARTICLE
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Copyright © 2014 by ASME
Topics: Damping , Wind , Turbulence
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References

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Novak, M., 1969, “Aeroelastic Galloping of Prismatic Bodies,” ASCE J. Engrg. Mech. Div., 95(1), pp. 115–142.
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Kirrou, I., Mokni, L., and Belhaq, M., 2013, “On the Quasiperiodic Galloping of a Wind-Excited Tower,” J. Sound Vib., 332(18), pp. 4059–4066. [CrossRef]
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Figures

Grahic Jump Location
Fig. 1

(a) Effect of the IPD on the galloping versus V in the absence of turbulent wind, (b) effect of the external excitation (picked from Ref. [11]), and (c) variation of galloping versus Y. Solid line, stable; dashed line, unstable; u1 = 0, u2 = 0, and ν = 8.

Grahic Jump Location
Fig. 2

(a) Effect of the IPD on the galloping versus V; u1 = 0.1, σ = 0, and ν = 10, (b) effect of the external excitation (picked from Ref. [11]) for the same values of parameters, except ν = 8, and (c) variation of the galloping versus Y. Solid line, stable; dashed line, unstable; and circle, numerical simulation.

Grahic Jump Location
Fig. 3

(a) Effect of the IPD on the galloping versus σ, (b) effect of the external excitation (picked from Ref. [11]) for the same values of parameters, except ν = 8, and (c) variation of the galloping versus Y. Solid line, stable; dashed line, unstable; circle, numerical simulation; u1 = 0.033, ν = 10, and V = 0.117.

Grahic Jump Location
Fig. 4

(a) Effect of the IPD on the galloping versus V, (b) effect of the external excitation (picked from Ref. [11]), and (c) variation of the galloping versus Y. Solid line, stable; dashed line, unstable; circle, numerical simulation; u2 = 0.1, σ = 0, and ν = 8.

Grahic Jump Location
Fig. 5

(a) Effect of the IPD on the galloping versus σ, (b) effect of the external excitation (picked from Ref. [11]), and (c) variation of the galloping versus Y. Solid line, stable; dashed line, unstable; circle, numerical simulation; u2 = 0.1, V = 0.167, and ν = 8.

Grahic Jump Location
Fig. 6

(a) Effect of the IPD on the galloping versus σ, (b) effect of the external excitation (picked from Ref. [11]), and (c) variation of the galloping versus Y. Solid line, stable; dashed line, unstable; circle, numerical simulation; V = 0.11, ν = 8, u1 = 0.1, u2 = 0.1, and σ = 0.

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