lab_9_template

lab_9_template - MAE107L - Dynamic Systems Laboratory Fall...

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MAE107L - Dynamic Systems Laboratory Fall 2009 Lab Report Template #9 Introduction In this lab we have used the frequency domain techniques from previous labs to measure the frequency response of a two degree of freedom torsional system. The two frequency responses, one from the system input to each of the two rotational disks, is estimated using the relationship between the Fourier Series of the input and output signals. H 1 = F ( y 1 ( t )) F ( u ( t )) H 2 = F ( y 2 ( t )) F ( u ( t )) where the Fourier series coefficients associated with u ( t ) , y 1 ( t ) , and y 2 ( t ) can be calculated as follows c k = i T u ( t ) e - jk ϖ 0 t dt (1) Since we sample the signals, though, they must be passed through an anti-alias filter to remove those frequencies outside of the Nyquist band [ - N , N ] , where N = 1 2 t s . The periodic, continuous- time, but band-limited signals, can then be perfectly represented by a periodic sequence of samples. The periodic sequence of samples can be analyzed with discrete-time Fourier series in order to deter-
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lab_9_template - MAE107L - Dynamic Systems Laboratory Fall...

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