Scruton number

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The Scruton number Sc is one of the important parameters for vortex-induced vibration of structures, vibrations caused by rain or wind, dry inclined cable galloping dry and wake galloping.[1] It is named after Christopher "Kit" Scruton, a British industrial dynamics engineer.[2][3]

It is defined by:[4]


is the structural damping expressed by the logarithmic damping decrement,
is the effective mass per unit length,
is the density of the air, or liquid,
is the characteristic width of the structure.


  1. ^ "MECHANICS OF WIND-INDUCED VIBRATIONS". Federal Highway Administration Research and Technology. August 2007. Retrieved 17 January 2017.
  2. ^ Wenzel, Helmut (2008). Health Monitoring of Bridges. Wiley. p. 464. ISBN 978-0-470-74018-7.
  3. ^ Ted Stathopoulos; Charalambos C. Baniotopoulos (31 December 2007). Wind Effects on Buildings and Design of Wind-Sensitive Structures. Springer Science & Business Media. p. 45. ISBN 978-3-211-73076-8.
  4. ^ "Vortex-induced vibrations of structures" (PDF). 1991. Retrieved 17 January 2017.