Determining the Damping Factor for the First Four Frequencies of Vibration of a Fixed-Free Beam and Locating the Nodes of Vibration

 
 

Class: BE310
Group: M5
Members: Norman Cabanilla, Namrata Choudhury, Joshua Kachner, Gie Na Yu

Date: May, 2002

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Abstract:
We wanted to study the vibration of a beam fixed at one end and free at the other. Specifically, we wanted to find the damping factors for the first four modes of vibration as well as experimentally determine the location of the nodes for the first four modes of vibration. Damping factors are unique to a particular mode of vibration. The extent to which a particular frequency of vibration is excited depends on the location at which the beam was struck, ie. if the node of a particular frequency is struck, the beam will not vibrate at that frequency. Equation 2 accurately predicts 5 out of the 6 nodes in the first four natural frequencies of vibration.