Physics:Scruton number
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The Scruton number Sc is an important parameter for vortex-induced vibration (excitation) of structures, vibrations caused by rain or wind, dry inclined cable galloping, and wake galloping, the unstable airflow that forms around bridge cables and other cylindrically-structured buildings.[1] It is named after Christopher "Kit" Scruton, a British industrial dynamics engineer.[2][3]
It is defined by:[4]
- [math]\displaystyle{ Sc = \frac{2\delta_sm_e}{\rho b^2_\text{ref}}, }[/math]
where
[math]\displaystyle{ \delta_s }[/math] is the structural damping expressed by the logarithmic damping decrement, [math]\displaystyle{ m_e }[/math] is the effective mass per unit length, [math]\displaystyle{ \rho }[/math] is the density of the air, or liquid, [math]\displaystyle{ b_\text{ref} }[/math] is the characteristic width of the structure.
References
- ↑ "MECHANICS OF WIND-INDUCED VIBRATIONS". August 2007. https://www.fhwa.dot.gov/publications/research/infrastructure/bridge/05083/chap3.cfm.
- ↑ Wenzel, Helmut (2008). Health Monitoring of Bridges. Wiley. pp. 464. ISBN 978-0-470-74018-7. https://books.google.com/books?id=pclv2jOWBx8C&q=Kit+scruton%2C+scruton+number&pg=PA464.
- ↑ 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. https://books.google.com/books?id=m49tRzY4Va8C&pg=PA45.
- ↑ "Vortex-induced vibrations of structures". Structural Engineers World Congress 2007. Bangalore, India. 2-7 November 2007. https://www.eurocodes.fi/wp-content/uploads/1991/1991-1-4/Hansen_2007.pdf. Retrieved 5 March 2021.
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