Transfer
Function

Dr. Layer 1.0 Exercise 8 Frequency Domain 
Introduction  
BackgroundThe time required for an undamped system to complete one cycle of free vibration is the natural period of vibration of the system. We shall represent this as T in units of seconds. It is related to the natural circular frequency of vibration w with units of radians per second: The natural cyclic frequency of vibration f which is implemented on the slider bar in Dr. Layer is given by the reciprocal value of T. This frequency represents the number of completed cycles per second. The units are Hertz (Hz). The frequency depends only on the mass and stiffness characteristics of the structure. This in effect means that the stiffer of two bodies with similar masses will posses a higher natural frequency and thus a shorter period. Conversely, the heavier of two bodies with the same stiffness will have a lower natural frequency. For linear systems these vibration properties are independent of the initial displacement and velocity. BACK TO TOPObjectiveAfter this exercise you will understand how the input frequency affects the type of wave travel obtained.Things to Do
BACK TO TOPObservationThe type of wave motion obtained is different for each input frequency employed. The shape of the fast fourier transform plot is also a function of the input frequency and the wave speed of travel along the different media.On Your OwnTry different loading conditions and obtain the frequency values.BACK TO TOP 

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