88 6. MODELING OF THE HYBRID POWERTRAIN WITH ADAMS
Table 6.2: Hybrid powertrain’s natural frequency in the hybrid driving mode
Frequency
(Hz)
MATLAB ADAMS
1st 5.6 5.6
2nd 17.3 17.4
3rd 26.1 26.1
4th 27.1 27.1
5th 836.1 823.3
6th 2076.0 1951.5
7th 3722.0 3550.6
8th 4441.0 4286.8
9th 10023.6 9844.6
10th 10023.6 9844.6
11th 10508.6 10314.1
12th 16461.5 16290.9
13th 16461.5 16290.9
14th 16646.5 16470.6
6.3 ANALYSIS ON THE FORCED VIBRATION (FV)
Forced Vibration (FV) is described as the system vibration under the periodic force. FV not
only relates to the frequency and amplitude of the driving force, but also the vibration system’s
natural frequency. When the driving frequency equals to the natural frequency, the resonance
happens.
By comparison between the excitation in the FV and the response of TV, the TV is
promised to be minimum. erefore, the NVH quality and ride property has been increased.
is section presents the analysis of the factors that influence the TV by adopting the FV
simulation. e angular acceleration is taken as an output as it is important to evaluate TV. In
the time domain, the input excitation can be demonstrated as below [43]:
f .t / D F
0
Œ
cos.! t C / C j sin.! t C /
; (6.8)
where F
0
D 100 Nm is the amplitude of input, is the phase angle . D 0/; ! D 0 100 Hz
is the frequency range of input, and t is the time.
Angular acceleration is an important index to assess the TV. Consequently, we use an
angular acceleration response of transmission components as the output to carry out the FV
analysis.
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