Tuned mass damper
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A tuned mass damper, also known as an active mass damper (AMD) or harmonic absorber, is a device mounted in structures to prevent discomfort, damage or outright structural failure by vibration. They are most frequently used in power transmission, automobiles, and in buildings.
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[edit] How they work
Tuned mass dampers stabilize against violent motion caused by harmonic vibration. The presence of a tuned damper allows the inertia of a great mass to be balanced by a comparatively lightweight structural component, such as a heavy concrete block placed in such a way that the block moves in one direction as the structure moves in the other, thus damping the structure's oscillation. The counterweight may be mounted using massive spring coils and hydraulic dampers. If the axis of the vibration is fundamentally horizontal or torsional, leaf springs and pendulum-mounted weights are employed. Tuned mass dampers are engineered, or "tuned" to specifically counter harmful frequencies of oscillation or vibration.
This system consists of a main mass m1, such as a wheel and suspension arm, with a spring and damper k1/c1 between it and the body. The force into the body is F0, this is what we are trying to minimise. A variable force F1 is applied to m1, this is the excitation force. The system is modified by adding another spring/damper/mass system k2/c2 and m2.
The graph shows the effect of a Tuned mass damper on a simple spring/mass/damper system, excited by a 1 N force applied to the main mass. The important measure for this system is the ratio of the force applied to the body, F0, as a result of F1. The blue line represents the baseline system, with a maximum response of 9 N into the base at 9 Hz. The red line shows the effect of adding a tuned mass of 10% of the baseline mass. It has a maximum response of 5.5 N, at 7 Hz.
The relative heights of the two peaks can be adjusted by changing the stiffness of the spring in the tuned mass damper. Changing the damping also changes the height of the peaks, in a complex fashion. The split between the two peaks can be changed by altering the proportion of the baseline mass used in the damper.
The Bode plot is more complex, showing the phase and magnitude of the motion of each mass, for the two cases, relative to F1.
The black line is for the baseline, and only shows the motion of m1. The blue line is the motion of m2 in the case with the tuned mass absorber. It goes into resonance early, in phase with m1, but with a higher amplitude. Therefore some of the energy that would have been used to vibrate the body (via F0) is absorbed in the damping element at c2. As the frequency increases m2 starts to move out of phase with m1, until at around 9.5 Hz it is moving in antiphase with m1, thereby pumping maximum energy into the damper at c2.
[edit] Mass dampers in automobiles
[edit] Motorsport
The tuned mass damper was introduced as part of the suspension system by Renault, on its 2005 F1 car (the R25), at the 2005 Brazilian Grand Prix. It was deemed to be legal at first, and it was in use up to the 2006 German Grand Prix.
At Hockenheim, the mass damper was deemed by the FIA to be a moveable aerodynamic device due to the influence it had on the pitch attitude of the car, and hence, as a consequence, the performance of the aerodynamics.
The Stewards of the meeting deemed it legal, but the FIA appealed against that decision. 2 weeks later, the FIA International Court of Appeal deemed the mass damper illegal.
[edit] Production cars
Tuned mass dampers are widely used in production cars, typically on the crankshaft pulley to control torsional vibration and bending modes of the crankshaft, on the driveline for gearwhine, and other noises. They are also used on the exhaust, on the body and on the suspension, as in the 2CV example above. Almost all cars will have one mass damper, some may have 10 or more.
[edit] Dampers in power transmission lines
High-tension lines often have small barbell-shaped Stockbridge dampers hanging from the wires[1][2].
[edit] Dampers in buildings and related structures
Typically, the dampers are huge concrete blocks mounted in skyscrapers or other structures, and moved in opposition to the resonance frequency oscillations of the structure by means of springs, fluid or pendulums.
[edit] Sources of vibration and resonance
Unwanted vibration may be caused by environmental forces acting on a structure, such as wind or earthquake, or by a seemingly innocuous vibration source causing resonance that may be destructive, unpleasant or simply inconvenient.
[edit] Earthquakes
The seismic waves caused by an earthquake will make buildings sway and oscillate in various ways depending on the frequency and direction of ground motion, and the height and construction of the building. Seismic activity can cause excessive oscillations of the building which may lead to structural failure. To enhance the building's seismic performance, a proper building design is performed engaging various seismic vibration control technologies.
[edit] Mechanical human sources
Masses of people walking up and down stairs at once, or great numbers of people stomping in unison, can cause serious problems in large structures like stadiums if those structures lack damping measures. Vibration caused by heavy industrial machinery, generators and diesel engines can also pose problems to structural integrity, especially if mounted on a steel structure or floor. Large ocean going vessels may employ tuned mass dampers to isolate the vessel from its engine vibration.
[edit] Wind
The force of wind against tall buildings can cause the top of skyscrapers to move more than a metre. This motion can be in the form of swaying or twisting, and can cause the upper floors of such buildings to move. Certain angles of wind and aerodynamic properties of a building can accentuate the movement and cause motion sickness in people.
[edit] Examples of buildings and structures with tuned mass dampers
- Berlin Television Tower (Fernsehturm) — tuned mass damper located in the spire.
- Burj al-Arab in Dubai — 11 tuned mass dampers.
- Dublin Spire in Dublin, Ireland — This narrow slender structure was designed with a tuned mass damper to ensure aerodynamic stability during a wind storm.
- Citigroup Center in New York City — Designed by William LeMessurier and completed in 1977, it was one of the first skyscrapers to use a tuned mass damper to reduce sway. Uses a concrete version.
- John Hancock Tower in Boston — A tuned mass damper was added to it after it was built.
- Taipei 101 skyscraper — Contains the world's largest tuned mass damper at 730-tons.[3]
- Comcast Center in Philadelphia, PA — upon completion, will contain the largest Tuned Liquid Column Damper (TLCD) in the world.
- London Millennium Bridge — 'The Wobbly Bridge'
- Park Tower in Chicago — The first building in the United States to be designed with a tuned mass damper from the outset.
- Trump World Tower in New York
- One Wall Centre in Vancouver — It employs tuned liquid column dampers, at the time of its installation, a unique form of tuned mass damper.
- One Rincon Hill South Tower — First building in the United States to have a liquid tuned mass damper
- Random House Tower Uses two liquid filled tampers in New York City
- Bally’s to Bellagio, Bally’s to Caesars Palace, and Treasure Island to The Venetian Pedestrian Bridges in Las Vegas
- Sakhalin-I — An offshore drilling platform
- Bloomberg Tower/731 Lexington in New York
- Yokohama Landmark Tower
- Grand Canyon Skywalk
[edit] References
- ^ On the hysteresis of wire cables in Stockbridge dampers
- ^ Item in New Scientist accessed 7 Nov 2007
- ^ Taipei 101's 730-Ton Tuned Mass Damper, Popular Mechanics, May 2005.
