Three‐Degree‐of‐Freedom Model for Galloping. Part II: Solutions

Yu, Pei; Desai, Yogesh M.; Popplewell, N.; Shah, A. H.

doi:10.1061/(asce)0733-9399(1993)119:12(2426)

Cited by 92 publications

(39 citation statements)

References 5 publications

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“…A numerical analysis has been performed on a sample cable, already analyzed in the literature [Luongo and Piccardo 1998;Yu et al 1993a;1993b], having an axial stiffness EA = 29.7 × 10 6 N, a torsional stiffness G J = 159 Nm 2 , a diameter D = 0.0281 m, a length = 267 m, a sag d = 6.18 m and damping ratio coefficients equal to 0.44%; moreover, a bending stiffness E I = 2100 Nm 2 has been assumed, consistently with experimental observations on several types of cables with sufficiently high axial tension and small curvature values [Hong et al 2005]. According to these values, the cable is initially close to the first cross-over point [Irvine and Caughey 1984].…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Two different U-shaped conductors have been taken into account, already considered in the literature: a cross-section with the symmetry axis placed on a z -direction (CS1 in the sequel), having its maximum ice eccentricity opposite to the mean wind (m = 1.80 kg/m, ice included; see [Yu et al 1993b]), and a cross-section with the symmetry axis rotated through −44.4 • with respect to a z -direction (CS2 in the sequel), having greater ice thickness (m = 2.00 kg/m, ice included; see [Tunstall 1989]). In both cases the specified configuration is the most prone to galloping.…”

Section: Parametric Analysismentioning

confidence: 99%

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A linear curved-beam model for the analysis of galloping in suspended cables

Luongo

Zulli

Piccardo

2007

JOMMS

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A linear model of curved, prestressed, no-shear, elastic beam, loaded by wind forces, is formulated. The beam is assumed to be planar in its reference configuration, under its own weight and static wind forces. The incremental equilibrium equations around the prestressed state are derived, in which shear forces are condensed. By using a linear elastic constitutive law and accounting for damping and inertial effects, the complete equations of motion are obtained. They are then greatly simplified by estimating the order of magnitude of all their terms, under the hypotheses of small sag-to-span ratio, order-1 aspect ratio of the (compact) section, characteristic section radius much smaller than length (slender cable), small transversal-to-longitudinal and transversal-to-torsional wave velocity ratios. A system of two integrodifferential equations is drawn in the two transversal displacements only. A simplified model of aerodynamic forces is then developed according to a quasisteady formulation. The nonlinear, nontrivial equilibrium path of the cable subjected to increasing static wind forces is successively evaluated, and the influence of the angle of twist on the equilibrium is discussed. Then stability is studied by discretizing the equations of motion via a Galerkin approach and analyzing the small oscillations around the nontrivial equilibrium. Finally, the role of the angle of twist on the dynamic stability of the cable is discussed for some sample cables.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Parametric Analysismentioning

confidence: 99%

A linear curved-beam model for the analysis of galloping in suspended cables

Luongo

Zulli

Piccardo

2007

JOMMS

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“…However, since the aerodynamic forces depend on the twist, this, in turn, affects the system dynamics. It is interesting to note that, while the bending does not affect the translational dynamics, it, in contrast, contributes to the twist dynamics, differently from certain models used in the literature [15][16][17], where it is inconsistently neglected.…”

Section: Current Configurationmentioning

confidence: 99%

“…An attempt to roughly take into account the twist in the aerodynamic model of cables was performed in [14]. In [15][16][17], while considering a more realistic extension-torsion coupled constitutive law, a strongly simplified kinematic model was developed. There twist, but not bending, was accounted for, and the influence of the initial curvature on the torsion strain was ignored.…”

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confidence: 99%

Dynamic instability of inclined cables under combined wind flow and support motion

Luongo

Zulli

2011

Nonlinear Dyn

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“…Iced conductor galloping is one of typical structural selfexcitation vibration phenomenon, including strong nonlinearity, and galloping influence factors are complicated [4][5][6][7][8][9] . The concrete pertinent research works shall be developed according to the concrete line engineering conditions, meteorological and geographic conditions, and effective antigalloping measures shall be developed to ensure safe and stable operation of the line.…”

Section: Introductionmentioning

confidence: 99%

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Liu¹,

Zhu²,

Liu³

et al. 2015

Proceedings of the 2015 International Conference on Sustainable Energy and Environmental Engineering

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Abstract-The anti-galloping method was proposed for the 6×1520 mm2 large cross section conductor. The galloping model was established by using nonlinear finite element method and considering geometric nonlinear, aerodynamic nonlinear and initial deformation. The galloping characteristics and the critical conditions to excite galloping were obtained for the large cross section conductor. And the anti-galloping effect was also evaluated by using the rotary clamp spacers. The results show that the multi-bundled conductors are more vulnerable to the galloping phenomenon than the single conductors under the same ice and wind conditions. And the galloping characteristics obtained by 1520 mm2 large cross section conductor are basically the same with other cross section conductors. The anti-galloping effect can meet the requirement by using rotary clamp spacer for the 6×1520 mm2 large cross section conductor in the easy galloping areas. And even in the harshest ice and wind conditions, the galloping amplitude can be reduced in the largest extent and the time to excite galloping can be greatly extended.

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Three‐Degree‐of‐Freedom Model for Galloping. Part II: Solutions

Cited by 92 publications

References 5 publications

A linear curved-beam model for the analysis of galloping in suspended cables

A linear curved-beam model for the analysis of galloping in suspended cables

Dynamic instability of inclined cables under combined wind flow and support motion

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