Scruton number

Last updated

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]

where

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.

Related Research Articles

<span class="mw-page-title-main">Suspension bridge</span> Type of bridge

A suspension bridge is a type of bridge in which the deck is hung below suspension cables on vertical suspenders. The first modern examples of this type of bridge were built in the early 1800s. Simple suspension bridges, which lack vertical suspenders, have a long history in many mountainous parts of the world.

<span class="mw-page-title-main">Othmar Ammann</span> Swiss-American structural engineer

Othmar Hermann Ammann was a Swiss-American civil engineer whose bridge designs include the George Washington Bridge, Verrazzano-Narrows Bridge, and Bayonne Bridge. He also directed the planning and construction of the Lincoln Tunnel.

<span class="mw-page-title-main">Aeroelasticity</span> Interactions among inertial, elastic, and aerodynamic forces

Aeroelasticity is the branch of physics and engineering studying the interactions between the inertial, elastic, and aerodynamic forces occurring while an elastic body is exposed to a fluid flow. The study of aeroelasticity may be broadly classified into two fields: static aeroelasticity dealing with the static or steady state response of an elastic body to a fluid flow, and dynamic aeroelasticity dealing with the body's dynamic response.

<span class="mw-page-title-main">Tacoma Narrows Bridge (1940)</span> Failed suspension bridge in Washington, US

The 1940 Tacoma Narrows Bridge, the first bridge at this location, was a suspension bridge in the U.S. state of Washington that spanned the Tacoma Narrows strait of Puget Sound between Tacoma and the Kitsap Peninsula. It opened to traffic on July 1, 1940, and dramatically collapsed into Puget Sound on November 7 of the same year. The bridge's collapse has been described as "spectacular" and in subsequent decades "has attracted the attention of engineers, physicists, and mathematicians". Throughout its short existence, it was the world's third-longest suspension bridge by main span, behind the Golden Gate Bridge and the George Washington Bridge.

<span class="mw-page-title-main">Tuned mass damper</span> Device designed to reduce vibrations in structures

A tuned mass damper (TMD), also known as a harmonic absorber or seismic damper, is a device mounted in structures to reduce mechanical vibrations, consisting of a mass mounted on one or more damped springs. Its oscillation frequency is tuned to be similar to the resonant frequency of the object it is mounted to, and reduces the object's maximum amplitude while weighing much less than it.

In fluid dynamics, a Kármán vortex street is a repeating pattern of swirling vortices, caused by a process known as vortex shedding, which is responsible for the unsteady separation of flow of a fluid around blunt bodies.

<span class="mw-page-title-main">Vortex shedding</span> Oscillating flow effect resulting from fluid passing over a blunt body

In fluid dynamics, vortex shedding is an oscillating flow that takes place when a fluid such as air or water flows past a bluff body at certain velocities, depending on the size and shape of the body. In this flow, vortices are created at the back of the body and detach periodically from either side of the body forming a Kármán vortex street. The fluid flow past the object creates alternating low-pressure vortices on the downstream side of the object. The object will tend to move toward the low-pressure zone.

<span class="mw-page-title-main">Stockbridge damper</span> Tuned mass damper used to suppress wind-induced vibrations

A Stockbridge damper is a tuned mass damper used to suppress wind-induced vibrations on slender structures such as overhead power lines, long cantilevered signs 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.

Structural health monitoring (SHM) involves the observation and analysis of a system over time using periodically sampled response measurements to monitor changes to the material and geometric properties of engineering structures such as bridges and buildings.

<span class="mw-page-title-main">Mechanical resonance</span> Tendency of a mechanical system

Mechanical resonance is the tendency of a mechanical system to respond at greater amplitude when the frequency of its oscillations matches the system's natural frequency of vibration closer than it does other frequencies. It may cause violent swaying motions and potentially catastrophic failure in improperly constructed structures including bridges, buildings and airplanes. This is a phenomenon known as resonance disaster.

A structural load or structural action is a mechanical load applied to structural elements. A load causes stress, deformation, displacement or acceleration in a structure. Structural analysis, a discipline in engineering, analyzes the effects of loads on structures and structural elements. Excess load may cause structural failure, so this should be considered and controlled during the design of a structure. Particular mechanical structures—such as aircraft, satellites, rockets, space stations, ships, and submarines—are subject to their own particular structural loads and actions. Engineers often evaluate structural loads based upon published regulations, contracts, or specifications. Accepted technical standards are used for acceptance testing and inspection.

<span class="mw-page-title-main">Vortex-induced vibration</span> Motions induced on bodies within a fluid flow due to vortices in the fluid

In fluid dynamics, vortex-induced vibrations (VIV) are motions induced on bodies interacting with an external fluid flow, produced by, or the motion producing, periodic irregularities on this flow.

<span class="mw-page-title-main">Conductor gallop</span> High-amplitude, low-frequency oscillation of overhead power lines due to wind

Conductor gallop is the high-amplitude, low-frequency oscillation of overhead power lines due to wind. The movement of the wires occurs most commonly in the vertical plane, although horizontal or rotational motion is also possible. The natural frequency mode tends to be around 1 Hz, leading the often graceful periodic motion to also be known as conductor dancing. The oscillations can exhibit amplitudes in excess of a metre, and the displacement is sometimes sufficient for the phase conductors to infringe operating clearances, and causing flashover. The forceful motion also adds significantly to the loading stress on insulators and electricity pylons, raising the risk of mechanical failure of either.

<span class="mw-page-title-main">Pile driver</span> Heavy equipment

A pile driver is a heavy-duty tool used to drive piles into soil to build piers, bridges, cofferdams, and other "pole" supported structures, and patterns of pilings as part of permanent deep foundations for buildings or other structures. Pilings may be made of wood, solid steel, or tubular steel, and may be driven entirely underwater/underground, or remain partially aboveground as elements of a finished structure.

<span class="mw-page-title-main">Angers Bridge</span> Bridge in Angers, France

Angers Bridge, also called the Basse-Chaîne Bridge, was a suspension bridge over the Maine River in Angers, France. It was designed by Joseph Chaley and Bordillon, and built between 1836 and 1839. The bridge collapsed on 16 April 1850, while a battalion of French soldiers were marching across it, killing over 200.

<span class="mw-page-title-main">Horseshoe vortex</span>

The horseshoe vortex model is a simplified representation of the vortex system present in the flow of air around a wing. This vortex system is modelled by the bound vortex and two trailing vortices, therefore having a shape vaguely reminiscent of a horseshoe. A starting vortex is shed as the wing begins to move through the fluid. This vortex dissipates under the action of viscosity, as do the trailing vortices which eventually dissipate far behind the aircraft.

<span class="mw-page-title-main">Wind engineering</span> Study of the effects of wind on natural and built environments

Wind engineering is a subset of mechanical engineering, structural engineering, meteorology, and applied physics that analyzes the effects of wind in the natural and the built environment and studies the possible damage, inconvenience or benefits which may result from wind. In the field of engineering it includes strong winds, which may cause discomfort, as well as extreme winds, such as in a tornado, hurricane or heavy storm, which may cause widespread destruction. In the fields of wind energy and air pollution it also includes low and moderate winds as these are relevant to electricity production and dispersion of contaminants.

The index of physics articles is split into multiple pages due to its size.

This glossary of structural engineering terms pertains specifically to structural engineering and its sub-disciplines. Please see Glossary of engineering for a broad overview of the major concepts of engineering.

<span class="mw-page-title-main">Critical embankment velocity</span>

Critical embankment velocity or critical speed, in transportation engineering, is the velocity value of the upper moving vehicle that causes the severe vibration of the embankment and the nearby ground. This concept and the prediction method was put forward by scholars in civil engineering communities before 1980 and stressed and exhaustively studied by Krylov in 1994 based on the Green function method and predicted more accurately using other methods in the following. When the vehicles such as high-speed trains or airplanes move approaching or beyond this critical velocity, the vibration magnitudes of vehicles and nearby ground increase rapidly and possibly lead to the damage to the passengers and the neighboring residents. This relevant unexpected phenomenon is called the ground vibration boom from 1997 when it was observed in Sweden for the first time.

References

  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. Hansen, Svend O. (2–7 November 2007). Vortex-induced vibrations of structures (PDF). Structural Engineers World Congress 2007. Bangalore, India. Retrieved 5 March 2021.