Spectral method for vibration analysis of cracked beam subjected to moving load

In the present Chapter, general theory of vibration of

cracked beam subjected to arbitrary moving force is presented.

A novel method for calculating natural frequencies of

multispan continuous beam with arbitrary number of cracks is

proposed as an illustrating example of the theory application.

Frequency response of cracked beam subject to moving

harmonic force is thoroughly investigated versus load

parameters such as speed, frequency and crack parameters.

A procedure is proposed for crack identification by

measurements of frequency response to moving harmonic

force and it is validated by a numerical example. The obtained

results demonstrate that the frequency response to moving

harmonic force is an efficient indicator for detecting multiple

cracks in beam.

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