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List of leaning towers

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A tower is a tall structure , taller than it is wide, often by a significant factor. Towers are distinguished from masts by their lack of guy-wires and are therefore, along with tall buildings, self-supporting structures.

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35-584: This is a list of leaning towers . A leaning tower is a tower which, either intentionally or unintentionally (due to errors in design, construction, or subsequent external influence such as unstable ground), does not stand perpendicular to the ground. The most famous example is the Leaning Tower in Pisa , Italy. Tower Towers are specifically distinguished from buildings in that they are built not to be habitable but to serve other functions using

70-484: A certain height, a tower can be made with the supporting structure with parallel sides. However, above a certain height, the compressive load of the material is exceeded, and the tower will fail. This can be avoided if the tower's support structure tapers up the building. A second limit is that of buckling—the structure requires sufficient stiffness to avoid breaking under the loads it faces, especially those due to winds. Many very tall towers have their support structures at

105-430: A comparatively lightweight component to reduce the vibration of a system so that its worst-case vibrations are less intense. Roughly speaking, practical systems are tuned to either move the main mode away from a troubling excitation frequency, or to add damping to a resonance that is difficult or expensive to damp directly. An example of the latter is a crankshaft torsional damper. Mass dampers are frequently implemented with

140-520: A feature on top of a larger structure or building. Old English torr is from Latin turris via Old French tor . The Latin term together with Greek τύρσις was loaned from a pre-Indo-European Mediterranean language, connected with the Illyrian toponym Βου-δοργίς. With the Lydian toponyms Τύρρα, Τύρσα, it has been connected with the ethnonym Τυρρήνιοι as well as with Tusci (from *Turs-ci ),

175-400: A frictional or hydraulic component that turns mechanical kinetic energy into heat, like an automotive shock absorber . Given a motor with mass m 1 attached via motor mounts to the ground, the motor vibrates as it operates and the soft motor mounts act as a parallel spring and damper, k 1 and c 1 . The force on the motor mounts is F 0 . In order to reduce the maximum force on

210-535: A phenomenal gain for a relatively simple device. The stewards of the meeting deemed it legal, but the FIA appealed against that decision. Two weeks later, the FIA International Court of Appeal deemed the mass damper illegal. It was deemed to be illegal because the mass was not rigidly attached to the chassis; the influence the damper had on the pitch attitude of the car in turn affected the gap under

245-711: A target (see siege tower ). Today, strategic-use towers are still used at prisons, military camps, and defensive perimeters. By using gravity to move objects or substances downward, a tower can be used to store items or liquids like a storage silo or a water tower , or aim an object into the earth such as a drilling tower . Ski-jump ramps use the same idea, and in the absence of a natural mountain slope or hill, can be human-made. In history, simple towers like lighthouses , bell towers , clock towers , signal towers and minarets were used to communicate information over greater distances. In more recent years, radio masts and cell phone towers facilitate communication by expanding

280-401: A tuned mass of 10% of the baseline mass. It has a maximum response of 5.5, at a frequency of 7. As a side effect, it also has a second normal mode and will vibrate somewhat more than the baseline system at frequencies below about 6 and above about 10. The 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

315-443: Is also sometimes used to refer to firefighting equipment with an extremely tall ladder designed for use in firefighting/rescue operations involving high-rise buildings. Tuned mass damper 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

350-525: Is the centrifugal pendulum absorber which is used to reduce the internal combustion engine 's torsional vibrations. All four wheels of the Citroën 2CV incorporated a tuned mass damper (referred to as a batteur in the original French) of very similar design to that used in the Renault F1 car, from the start of production in 1949 on all four wheels, before being removed from the rear and eventually

385-409: Is the ratio of the force on the motor mounts to the force vibrating the motor, ⁠ F 0 / F 1 ⁠ . This assumes that the system is linear, so if the force on the motor were to double, so would the force on the motor mounts. The blue line represents the baseline system, with a maximum response of 9 units of force at around 9 units of frequency. The red line shows the effect of adding

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420-402: 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. TMDs can prevent discomfort, damage, or outright structural failure . They are frequently used in power transmission, automobiles and buildings. Tuned mass dampers stabilize against violent motion caused by harmonic vibration . They use

455-698: The Qin dynasty . Towers were also an important element of castles . Other well known towers include the Leaning Tower of Pisa in Pisa, Italy built from 1173 until 1372, the Two Towers in Bologna, Italy built from 1109 until 1119 and the Towers of Pavia (25 survive), built between 11th and 13th century. The Himalayan Towers are stone towers located chiefly in Tibet built approximately 14th to 15th century. Up to

490-407: The height of the tower. For example, the height of a clock tower improves the visibility of the clock, and the height of a tower in a fortified building such as a castle increases the visibility of the surroundings for defensive purposes. Towers may also be built for observation , leisure, or telecommunication purposes. A tower can stand alone or be supported by adjacent buildings, or it may be

525-450: The resonance frequency oscillations of the structure by means of springs , fluid, or pendulums. 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. The seismic waves caused by an earthquake will make buildings sway and oscillate in various ways depending on

560-415: The wires to reduce the high-frequency, low-amplitude oscillation termed flutter . A standard tuned mass damper for wind turbines consists of an auxiliary mass which is attached to the main structure by means of springs and dashpot elements. The natural frequency of the tuned mass damper is basically defined by its spring constant and the damping ratio determined by the dashpot . The tuned parameter of

595-547: The 3rd millennium BC, and the Etemenanki , one of the most famous examples of Babylonian architecture . Some of the earliest surviving examples are the broch structures in northern Scotland , which are conical tower houses . These and other examples from Phoenician and Roman cultures emphasised the use of a tower in fortification and sentinel roles. For example, the name of the Moroccan city of Mogador , founded in

630-651: The Greek and Latin names for the Etruscans (Kretschmer Glotta 22, 110ff.) Towers have been used by humankind since prehistoric times. The oldest known may be the circular stone tower in walls of Neolithic Jericho (8000 BC). Some of the earliest towers were ziggurats , which existed in Sumerian architecture since the 4th millennium BC. The most famous ziggurats include the Sumerian Ziggurat of Ur , built in

665-477: The aeronautics and automobile industries long before they were standard in mitigating seismic damage to buildings. In fact, the first specialized damping devices for earthquakes were not developed until late in 1950. 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. The force of wind against tall buildings can cause

700-437: The blue line shows the motion of the damping mass and the red line shows the motion of the primary mass. The amplitude plot shows that at low frequencies, the damping mass resonates much more than the primary mass. The phase plot shows that at low frequencies, the two masses are in phase. As the frequency increases m 2 moves out of phase with m 1 until at around 9.5 Hz it is 180° out of phase with m 1 , maximizing

735-468: The car and the ground effects of the car. As such, the damper was considered to be a movable aerodynamic device and hence an illegal influence on the performance of the aerodynamics . Tuned mass dampers are widely used in production cars, typically on the crankshaft pulley to control torsional vibration and, more rarely, the bending modes of the crankshaft. They are also used on the driveline for gearwhine, and elsewhere for other noises or vibrations on

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770-495: The damping effect by maximizing the amplitude of x 2  −  x 1 , this maximizes the energy dissipated into c 2 and simultaneously pulls on the primary mass in the same direction as the motor mounts. The tuned mass damper was introduced as part of the suspension system by Renault on its 2005 F1 car (the Renault R25 ), at the 2005 Brazilian Grand Prix . The system reportedly reduced lap times by 0.3 seconds:

805-523: The damping of the structure. One proposal to reduce vibration on NASA's Ares solid fuel booster was to use 16 tuned mass dampers as part of a design strategy to reduce peak loads from 6 g to 0.25 g , with the TMDs being responsible for the reduction from 1 g to 0.25 g , the rest being done by conventional vibration isolators between the upper stages and the booster. High-tension lines often have small barbell -shaped Stockbridge dampers hanging from

840-534: The entire building simultaneously. Although not correctly defined as towers, many modern high-rise buildings (in particular skyscraper ) have 'tower' in their name or are colloquially called 'towers'. Skyscrapers are more properly classified as 'buildings'. In the United Kingdom , tall domestic buildings are referred to as tower blocks . In the United States , the original World Trade Center had

875-432: The exhaust, body, suspension or anywhere else. Almost all modern cars will have one mass damper, and some may have ten or more. The usual design of damper on the crankshaft consists of a thin band of rubber between the hub of the pulley and the outer rim. This device, often called a harmonic damper , is located on the other end of the crankshaft opposite of where the flywheel and the transmission are. An alternative design

910-720: The first millennium BC, is derived from the Phoenician word for watchtower ('migdol'). The Romans utilised octagonal towers as elements of Diocletian's Palace in Croatia , which monument dates to approximately 300 AD, while the Servian Walls (4th century BC) and the Aurelian Walls (3rd century AD) featured square ones. The Chinese used towers as integrated elements of the Great Wall of China in 210 BC during

945-401: 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. As mentioned above, damping devices had been used in

980-425: The front wheels in the mid 1970s. The tuned mass damper is widely used as a method to add damping to bridges. One use case for tuned mass dampers in bridges is to prevent large vibrations due to resonance with pedestrian loads. By adding a tuned mass damper, damping is added to the structure which causes the vibration of the structure to be reduced as the vibration steady state amplitude is inversely proportional to

1015-445: The height of the peaks, in a complex fashion. The split between the two peaks can be changed by altering the mass of the damper ( m 2 ). The Bode plot is more complex, showing the phase and magnitude of the motion of each mass, for the two cases, relative to F 1 . In the plots at right, the black line shows the baseline response ( m 2  = 0). Now considering m 2  =  ⁠ m 1 / 10 ⁠ ,

1050-454: The motor mounts as the motor operates over a range of speeds, a smaller mass, m 2 , is connected to m 1 by a spring and a damper, k 2 and c 2 . F 1 is the effective force on the motor due to its operation. The graph shows the effect of a tuned mass damper on a simple spring–mass–damper system, excited by vibrations with an amplitude of one unit of force applied to the main mass, m 1 . An important measure of performance

1085-643: The nickname the Twin Towers, a name shared with the Petronas Twin Towers in Kuala Lumpur . In addition some of the structures listed below do not follow the strict criteria used at List of tallest towers . The tower throughout history has provided its users with an advantage in surveying defensive positions and obtaining a better view of the surrounding areas, including battlefields. They were constructed on defensive walls , or rolled near

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1120-456: The periphery of the building, which greatly increases the overall stiffness. A third limit is dynamic; a tower is subject to varying winds, vortex shedding, seismic disturbances etc. These are often dealt with through a combination of simple strength and stiffness, as well as in some cases tuned mass dampers to damp out movements. Varying or tapering the outer aspect of the tower with height avoids vibrations due to vortex shedding occurring along

1155-655: The range of the transmitter. The CN Tower in Toronto, Ontario , Canada was built as a communications tower, with the capability to act as both a transmitter and repeater. Towers can also be used to support bridges, and can reach heights that rival some of the tallest buildings above-water. Their use is most prevalent in suspension bridges and cable-stayed bridges . The use of the pylon, a simple tower structure, has also helped to build railroad bridges, mass-transit systems, and harbors. Control towers are used to give visibility to help direct aviation traffic. The term "tower"

1190-599: The top of skyscrapers to move more than a meter. 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. A TMD is usually tuned to its building's resonant frequency to work efficiently. However, during their lifetimes, high-rise and slender buildings may experience natural resonant frequency changes under wind speed, ambient temperature and relative humidity variations, among other factors, which requires

1225-420: The tuned mass damper enables the auxiliary mass to oscillate with a phase shift with respect to the motion of the structure. In a typical configuration, an auxiliary mass hung below the nacelle of a wind turbine supported by dampers or friction plates. When installed in buildings, dampers are typically huge concrete blocks or steel bodies mounted in skyscrapers or other structures, which move in opposition to

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