Three‐Degree‐of‐Freedom Model for Galloping. Part I: Formulation

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

doi:10.1061/(asce)0733-9399(1993)119:12(2404)

Cited by 132 publications

(46 citation statements)

References 15 publications

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“…These references, alongside broader 3DOF treatments, with different perspectives and not focusing on translational interaction (e.g. Wang and Lilien (1998), Yu et al (1993)), cover the full range of available literature on modelling two-degree-of-freedom (2DOF) translational galloping vibrations. In summary, there has been no previous reference that has specifically (and correctly) addressed 2D translational galloping of non-circular cross sections with arbitrary orientation of the principal axes.…”

Section: Introductionmentioning

confidence: 99%

Misconceptions and Generalizations of the Den Hartog Galloping Criterion

Nikitas

Macdonald

2014

J. Eng. Mech.

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Classical quasi-steady galloping analysis deals exclusively with cases of across-wind vibrations, leaving aside the more general situation where the wind and motion may not be normal. This can arise in many circumstances, such as the motion of a power transmission cable about its equilibrium configuration, which is swayed from the vertical plane due to the mean wind, or for a tall slender structure in a skewed wind. Furthermore the generalisation to such situations, when this had been made, has only considered special issues.In this paper the correct equations for the quasi-steady aerodynamic damping coefficients for the rotated system or wind are derived, and differences from other variants are highlighted. Motion in two orthogonal structural planes is considered, potentially giving coupled translational galloping, for which previous analysis has often been limited or has even arrived at erroneous conclusions. For the two-degree-of-freedom case, the behaviour is dependent on the structural as well as aerodynamic parameters, in particular the orientation of the principal structural axes and the relative natural frequencies in the two planes. For the first time, differences in the aerodynamic damping and zones of galloping instability are quantified, between solutions from the correct perfectly tuned, well detuned and classical Den Hartog equations (and also an incorrect generalisation of it), for a variety of typical cross-sectional shapes. It is found that although the Den Hartog summation often gives a reasonable estimate for the actual aerodynamic damping even for the rotated situation, in some circumstances the differences can be quite large.

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Section: Introductionmentioning

confidence: 99%

Misconceptions and Generalizations of the Den Hartog Galloping Criterion

Nikitas

Macdonald

2014

J. Eng. Mech.

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“…Furthermore, a three-degree-of-freedom model for galloping was developed and analyzed analytically in [11,12].…”

Section: Shock and Vibrationmentioning

confidence: 99%

Study on Galloping Oscillation of Iced Catenary System under Cross Winds

Guo

Yang

2017

Shock and Vibration

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This paper mainly aims at revealing the nature of the galloping oscillation of iced catenary system under cross winds. The aerodynamic force on the iced catenary system is assumed to be quasi-steady, and then the quasi-steady aerodynamic lift and drag coefficients are completed in FLUENT. By fitting the discrete simulation data, the expression of the vertical aerodynamic force is further obtained. According to the Den Hartog vertical galloping mechanism, the stability of iced catenary is discussed and the initial icing angle corresponding to the critical stability is obtained. On this basis, the dynamic model of the simple iced catenary system under cross winds is established. The partial differential vibration equation of the system is converted into the ordinary differential equation by the Galerkin method and then numerically solved. The condition of the unstable catenary motion in simulation is in agreement with that from theoretical stability analysis. In addition, the effects of structural damping, initial icing angle, and wind velocity on the system responses are investigated.

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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%

Untitled

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 I: Formulation

Cited by 132 publications

References 15 publications

Misconceptions and Generalizations of the Den Hartog Galloping Criterion

Misconceptions and Generalizations of the Den Hartog Galloping Criterion

Study on Galloping Oscillation of Iced Catenary System under Cross Winds

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