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Couperin
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What does it mean to say that something, for example a bridge, has a natural frequency? Does this have anything to do with how long it is?
Yes, length is one factor. Other factors include mass and rigidity or stiffness. Structures have natural frequencies, and members or components have their own natural frequencies, and then there are couplings or coupled interactions between components.Couperin said:Does this have anything to do with how long it is?
from http://www.glenbrook.k12.il.us/GBSSCI/PHYS/CLASS/sound/u11l4a.htmlNearly all objects, when hit or struck or plucked or strummed or somehow disturbed, will vibrate. If you drop a meter stick or pencil on the floor, it will begin to vibrate. If you pluck a guitar string, it will begin to vibrate. If you blow over the top of a pop bottle, the air inside will vibrate. When each of these objects vibrate, they tend to vibrate at a particular frequency or a set of frequencies. The frequency or frequencies at which an object tends to vibrate with when hit, struck, plucked, strummed or somehow disturbed is known as the natural frequency of the object.
http://www.tiscali.co.uk/reference/encyclopaedia/hutchinson/m0025332.htmlFrequency at which a mechanical system will vibrate freely. A pendulum, for example, always oscillates at the same frequency when set in motion. More complicated systems, such as bridges, also vibrate with a fixed natural frequency. If a varying force with a frequency equal to the natural frequency is applied to such an object the vibrations can become violent, a phenomenon known as resonance.
turdferguson said:Its what Tesla supposedly used to build his earthquake machine. Its also the reason why soldiers have to break their march when going across bridges
The natural frequency of an object is the frequency at which it naturally tends to vibrate when disturbed. It is a characteristic property of an object that is determined by its physical properties, such as mass, stiffness, and shape.
The natural frequency of an object can be calculated using the equation f = 1/2π√(k/m), where f is the natural frequency, k is the spring constant, and m is the mass of the object. Alternatively, it can also be determined experimentally by measuring the frequency at which the object vibrates when disturbed.
The natural frequency of an object is affected by its mass, stiffness, and damping. Objects with higher mass and lower stiffness have a lower natural frequency, while objects with lower mass and higher stiffness have a higher natural frequency. Damping, which is a measure of how quickly the vibrations of an object die down, also affects the natural frequency.
The natural frequency of an object is used in a variety of practical applications, such as in the design of structures to ensure their stability and in the development of musical instruments to produce specific notes. It is also used in earthquake engineering to determine the natural frequency of buildings and structures to better protect them from seismic activity.
Yes, the natural frequency of an object can be changed by altering its physical properties, such as its mass, stiffness, or damping. For example, adding mass to an object will decrease its natural frequency, while increasing stiffness will increase its natural frequency. In some cases, the natural frequency can also be changed by applying external forces to the object.