viii
4
Transmission System Parameters and Meshing Stiffness Calculation
. . . . . . .
51
4.1 Gear Pair Meshing Impact Response Analysis . . . . . . . . . . . . . . . . . . . . . . . . . 53
4.1.1 Calculation of Impact Acceleration and Impact Time. . . . . . . . . . . . . . 55
4.1.2 Calculation of Impact Acceleration Sound Pressure . . . . . . . . . . . . . . . 57
4.2 Analysis of Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
4.3 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
5
Mathematical Modeling and TV Analysis of Hybrid Electric Vehicles . . . . . . . 63
5.1 Dynamic Modeling of the Compound Planetary Gear Set . . . . . . . . . . . . . . . 64
5.2 e Torsional Dynamic Model of the Power-Split Hybrid System . . . . . . . . . 68
5.3 Numerical Analysis of Natural Frequencies and Modes . . . . . . . . . . . . . . . . . . 70
5.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
6
Modeling of the Hybrid Powertrain with ADAMS . . . . . . . . . . . . . . . . . . . . . . . 83
6.1 Modeling of the Hybrid Powertrain with ADAMS . . . . . . . . . . . . . . . . . . . . . 83
6.2 Comparison and Verification of the Two Models . . . . . . . . . . . . . . . . . . . . . . . 86
6.3 Analysis on the Forced Vibration (FV) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88
6.3.1 Influence of Varying Damping of Torsional Damper on Frequency
Response . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89
6.3.2 Influence of Varying Stiffness of Torsional Damper on Frequency
Response . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91
6.3.3 Influence of the Flywheel’s MOI on Frequency Response . . . . . . . . . . 94
6.3.4 Influence of Varying Stiffness of Half Shaft on Frequency Response . . 94
6.3.5 Influence of Varying Damping of Half Shaft on Frequency Response . 98
6.3.6 Influence of Wheel TS Variation on the TV of Powertrain . . . . . . . . . 98
6.4 TV Characteristics and Optimization Analysis of Dual Mass Flywheel . . . . 100
6.4.1 Advantage of DMF . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100
6.4.2 Dynamic Modeling and Parameter Selection of DMF . . . . . . . . . . . . 102
6.4.3 Influence of the Rotational Inertia Ratio of DMF . . . . . . . . . . . . . . . 104
6.4.4 Influence of the TS of DMF . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106
6.4.5 Influence of the Damping of DMF . . . . . . . . . . . . . . . . . . . . . . . . . . . 108
6.5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111
Authors’ Biographies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121