By Denny Von Finn
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7% of the peak magnitude still passes through the filtering. Using the formulas for the Butterworth nth order filter, the computation is shown in Eq. 8) © 2002 by CRC Press LLC The effects of the filter type on the deceleration magnitude and phase delay of the filtered responses are compared using the three input pulses described in the following: A. Single-step and multiple-step function inputs The data set shown in Fig. 19 contains a step (or fast rise) input and is filtered with Channel Class 60.
20 Filtered Response Comparison ! Multiple-Step Function and Channel Class 60 © 2002 by CRC Press LLC Applying the same analysis to the raw data of the vehicle crash pulse, the differences in the magnitude attenuation, phase delay, and initiation point between the filtered data and raw data become clear. Shown in Fig. 21, the first impulse, between 4 and 8 ms, can be approximated by a unit step input. The relationships between the filter type, initiation point, attenuation magnitude, and phase delay applied to the step input can also be applied to the test data analysis.
Fig. 19 Filtered Response Comparison ! Single-Step Function and Channel Class 60 The data filtered by the Chebyshev filter, shown in Fig. 20, matches the initiation point of the step input closely, but with considerable phase delay. Comparing the location of the peak magnitude of the filtered pulse with the mid-point of the rectangular step input, the Chebyshev peak magnitude is delayed by half of the duration of the step input, and the Butterworth peak occurs right at the midpoint of the step input.
4x4 Trucks by Denny Von Finn