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Stockbridge damper

A Stockbridge damper is a tuned mass damper used to suppress wind-induced vibrations on slender structures such as overhead power lines,[1] long cantilevered signs[2] and cable-stayed bridges. The dumbbell-shaped device consists of two masses at the ends of a short length of cable or flexible rod, which is clamped at its middle to the main cable. The damper is designed to dissipate the energy of oscillations in the main cable to an acceptable level.[3]

Stockbridge dampers installed on high voltage power lines

Wind-induced oscillation

Wind can generate three major modes of oscillation in suspended cables:[4]

  • Gallop has an amplitude measured in metres and a frequency range of 0.08 to 3 Hz
  • Aeolian vibration (sometimes termed flutter) has an amplitude of millimetres to centimetres and a frequency of 3 to 150 Hz
  • Wake-induced vibration has an amplitude of centimetres and a frequency of 0.15 to 10 Hz

The Stockbridge damper targets oscillations due to aeolian vibration; it is less effective outside this amplitude and frequency range. Aeolian vibration occurs in the vertical plane and is caused by alternating shedding of vortices on the leeward side of the cable. A steady but moderate wind can induce a standing wave pattern on the line consisting of several wavelengths per span.[4] Aeolian vibration causes damaging stress fatigue to the cable[5] and represents the principal cause of failure of conductor strands.[4] The ends of a power line span, where it is clamped to the transmission towers, are at most risk.[5] The effect becomes more pronounced with increased cable tension,[5] as its natural self-damping is reduced.

Description

 
Stockbridge's original concrete block design

The Stockbridge damper was invented in the 1920s by George H. Stockbridge, who was an engineer for Southern California Edison. Stockbridge obtained US patent 1675391 on 3 July 1928 for a "vibration damper".[6] His patent described three means of damping vibrations on lines: a sack of metal punchings tied to the line; a short length of cable clamped parallel to the main cable; and a short (30 in, 75 cm) cable with a concrete mass fixed at each end.[6] This last device developed into the widely used Stockbridge damper.

Vibrations in the main cable were passed down through the clamp and into the shorter damper, or "messenger", cable. This would flex and cause the symmetrically-placed concrete blocks at its ends to oscillate. Careful choice of the mass of the blocks, and the stiffness and length of the damper cable would match the mechanical impedance of the damper to that of the line, and greatly attenuate oscillation of the main cable. Since Stockbridge dampers were economical, effective and easy to install, they became used routinely on overhead lines.[5] Live-line working using hot stick tools meant it was possible to retrofit dampers to lines while energised.[7]

Modern designs

 
A modern design with metal weights

Modern designs use metal bell-shaped weights rather than Stockbridge's concrete blocks. The bell is hollow and the damper cable is fixed internally to the distal end, which permits relative motion between the cable and damping weights.[7] To provide for greater freedom of motion, the weights may be partially slotted in the vertical plane, allowing the cable to travel outside the confines of the bell. Some more complex designs use weights with asymmetric mass distribution, which enables the damper to oscillate in several different frequency modes and ranges.[8][9]

 
Dogbone dampers on the road-support cables of the Severn Bridge

Another modern design is the Dogbone invented by Philip Dulhunty in 1976[dubious ] is so called due to its configuration, a larger metal sphere attached to the end of the damper, with a smaller sphere projecting sideways from it, resembling a dog's bone. The damper offsets the weights sideways in order to introduce a third degree of freedom, twisting the damper cable in addition to bending it up and down. Additional intra-strand friction was created in the damper cable, dissipating significantly more energy.[2][10][verification needed]

The most vulnerable section of the cable is where it is clamped to the end of an insulator string, so dampers are typically installed at the nearest anti-nodes (points of maximum displacement) either side of the clamp.[8] There are thus normally two dampers per span, though more can be installed if necessary on longer spans.[5][7]

Overhead transmission lines form a catenary for which vibration is predominately in the vertical plane. When more than one plane of vibration is anticipated, Stockbridge dampers may be mounted at right angles to each other. This is common when the cable runs in a vertical or off-horizontal plane, for example in cable-stayed bridges or radio mast guy-wires.

See also

References

  1. ^ Markiewicz, M. (29 November 1995), "Optimum dynamic characteristics of Stockbridge dampers for dead-end spans", Journal of Sound and Vibration, 188 (2): 243–256, Bibcode:1995JSV...188..243M, doi:10.1006/jsvi.1995.0589
  2. ^ a b Guidelines for the Installation, Inspection, Maintenance and Repair of Structural Supports for Highway Signs, Luminaries, and Traffic Signals, vol. FHWA NHI 05-36, US Department of Transportation, March 2005, retrieved 12 October 2008
  3. ^ Kiessling, Friedrich; Nefzger, Peter; Nolasco, Joao F.; Kaintzyk, Ulf (2003), Overhead Power Lines, Springer, pp. 311–312, ISBN 3-540-00297-9
  4. ^ a b c EPRI Transmission Line Reference Book: Wind-Induced Conductor Motion, EPRI 1012317, 2008
  5. ^ a b c d e McCombe, John; Haigh, F.R. (1966), Overhead Line Practice (3rd ed.), Macdonald, pp. 216–219
  6. ^ a b U.S. Patent 1,675,391
  7. ^ a b c Wadhwa, C.L. (2006), Electrical Power Systems, New Age Publishers, pp. 169–170, ISBN 978-81-224-1773-9
  8. ^ a b Kiessling, Friedrich (2001), High Voltage Engineering and Testing, IET, pp. 190–191, ISBN 0-85296-775-6
  9. ^ Lawson, Tom (2001), Building aerodynamics, Imperial College Press, p. 115, ISBN 1-86094-187-7
  10. ^ Dunhunty, Philip (2009). Never a Dull Moment. Philip Dulhunty. pp. 280–282.

External links

  • Vibrationdata article
  • New Scientist Q&A

stockbridge, damper, tuned, mass, damper, used, suppress, wind, induced, vibrations, slender, structures, such, overhead, power, lines, long, cantilevered, signs, cable, stayed, bridges, dumbbell, shaped, device, consists, masses, ends, short, length, cable, f. A Stockbridge damper is a tuned mass damper used to suppress wind induced vibrations on slender structures such as overhead power lines 1 long cantilevered signs 2 and cable stayed bridges The dumbbell shaped device consists of two masses at the ends of a short length of cable or flexible rod which is clamped at its middle to the main cable The damper is designed to dissipate the energy of oscillations in the main cable to an acceptable level 3 Stockbridge dampers installed on high voltage power lines Contents 1 Wind induced oscillation 2 Description 3 Modern designs 4 See also 5 References 6 External linksWind induced oscillation EditWind can generate three major modes of oscillation in suspended cables 4 Gallop has an amplitude measured in metres and a frequency range of 0 08 to 3 Hz Aeolian vibration sometimes termed flutter has an amplitude of millimetres to centimetres and a frequency of 3 to 150 Hz Wake induced vibration has an amplitude of centimetres and a frequency of 0 15 to 10 HzThe Stockbridge damper targets oscillations due to aeolian vibration it is less effective outside this amplitude and frequency range Aeolian vibration occurs in the vertical plane and is caused by alternating shedding of vortices on the leeward side of the cable A steady but moderate wind can induce a standing wave pattern on the line consisting of several wavelengths per span 4 Aeolian vibration causes damaging stress fatigue to the cable 5 and represents the principal cause of failure of conductor strands 4 The ends of a power line span where it is clamped to the transmission towers are at most risk 5 The effect becomes more pronounced with increased cable tension 5 as its natural self damping is reduced Description Edit Stockbridge s original concrete block design The Stockbridge damper was invented in the 1920s by George H Stockbridge who was an engineer for Southern California Edison Stockbridge obtained US patent 1675391 on 3 July 1928 for a vibration damper 6 His patent described three means of damping vibrations on lines a sack of metal punchings tied to the line a short length of cable clamped parallel to the main cable and a short 30 in 75 cm cable with a concrete mass fixed at each end 6 This last device developed into the widely used Stockbridge damper Vibrations in the main cable were passed down through the clamp and into the shorter damper or messenger cable This would flex and cause the symmetrically placed concrete blocks at its ends to oscillate Careful choice of the mass of the blocks and the stiffness and length of the damper cable would match the mechanical impedance of the damper to that of the line and greatly attenuate oscillation of the main cable Since Stockbridge dampers were economical effective and easy to install they became used routinely on overhead lines 5 Live line working using hot stick tools meant it was possible to retrofit dampers to lines while energised 7 Modern designs Edit A modern design with metal weights Modern designs use metal bell shaped weights rather than Stockbridge s concrete blocks The bell is hollow and the damper cable is fixed internally to the distal end which permits relative motion between the cable and damping weights 7 To provide for greater freedom of motion the weights may be partially slotted in the vertical plane allowing the cable to travel outside the confines of the bell Some more complex designs use weights with asymmetric mass distribution which enables the damper to oscillate in several different frequency modes and ranges 8 9 Dogbone dampers on the road support cables of the Severn Bridge Another modern design is the Dogbone invented by Philip Dulhunty in 1976 dubious discuss is so called due to its configuration a larger metal sphere attached to the end of the damper with a smaller sphere projecting sideways from it resembling a dog s bone The damper offsets the weights sideways in order to introduce a third degree of freedom twisting the damper cable in addition to bending it up and down Additional intra strand friction was created in the damper cable dissipating significantly more energy 2 10 verification needed The most vulnerable section of the cable is where it is clamped to the end of an insulator string so dampers are typically installed at the nearest anti nodes points of maximum displacement either side of the clamp 8 There are thus normally two dampers per span though more can be installed if necessary on longer spans 5 7 Overhead transmission lines form a catenary for which vibration is predominately in the vertical plane When more than one plane of vibration is anticipated Stockbridge dampers may be mounted at right angles to each other This is common when the cable runs in a vertical or off horizontal plane for example in cable stayed bridges or radio mast guy wires See also EditConductor gallop Tacoma Narrows Bridge destruction once thought to be a case of resonanceReferences Edit Markiewicz M 29 November 1995 Optimum dynamic characteristics of Stockbridge dampers for dead end spans Journal of Sound and Vibration 188 2 243 256 Bibcode 1995JSV 188 243M doi 10 1006 jsvi 1995 0589 a b Guidelines for the Installation Inspection Maintenance and Repair of Structural Supports for Highway Signs Luminaries and Traffic Signals vol FHWA NHI 05 36 US Department of Transportation March 2005 retrieved 12 October 2008 Kiessling Friedrich Nefzger Peter Nolasco Joao F Kaintzyk Ulf 2003 Overhead Power Lines Springer pp 311 312 ISBN 3 540 00297 9 a b c EPRI Transmission Line Reference Book Wind Induced Conductor Motion EPRI 1012317 2008 a b c d e McCombe John Haigh F R 1966 Overhead Line Practice 3rd ed Macdonald pp 216 219 a b U S Patent 1 675 391 a b c Wadhwa C L 2006 Electrical Power Systems New Age Publishers pp 169 170 ISBN 978 81 224 1773 9 a b Kiessling Friedrich 2001 High Voltage Engineering and Testing IET pp 190 191 ISBN 0 85296 775 6 Lawson Tom 2001 Building aerodynamics Imperial College Press p 115 ISBN 1 86094 187 7 Dunhunty Philip 2009 Never a Dull Moment Philip Dulhunty pp 280 282 External links Edit Wikimedia Commons has media related to Stockbridge dampers Vibrationdata article Cable clingers New Scientist Q amp A Retrieved from https en wikipedia org w index php title Stockbridge damper amp oldid 1071006231, wikipedia, wiki, book, books, library,

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