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Every mechanical system has a natural frequency of vibration, a frequency at which it will go more and more out of the normal range. Any sort of vibration at that frequency can cause a total systems failure. The most famous example of this was the collapse of the Tacoma Narrows bridge.

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How do you deterrmine a natural frequency?

To determine the natural frequency of a system, you typically need to know the system's mass, stiffness, and damping characteristics. These parameters are used to formulate the system's differential equation of motion, which can then be solved to find the natural frequency. Alternatively, experimental modal analysis techniques such as impact testing or frequency response testing can also be used to determine the natural frequency of a system.


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