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Noise and Torsional Vibration Analysis of Hybrid Vehicles
Xiaolin Tang, Yanjun Huang, Hong Wang, and Yechen Qin
www.morganclaypool.com
ISBN: 9781681734750 paperback
ISBN: 9781681734767 ebook
ISBN: 9781681734774 hardcover
DOI 10.2200/S00888ED1V01Y201811AAT004
A Publication in the Morgan & Claypool Publishers series
SYNTHESIS LECTURES ON ADVANCES IN AUTOMOTIVE TECHNOLOGY
Lecture #4
Series Editor: Amir Khajepour, University of Waterloo, Canada
Series ISSN
Print 2576-8107 Electronic 2576-8131
Noise and
Torsional Vibration Analysis of
Hybrid Vehicles
Xiaolin Tang
Chongqing University, China
Yanjun Huang
University of Waterloo, Canada
Hong Wang
University of Waterloo, Canada
Yechen Qin
Beijing Institute of Technology, China
SYNTHESIS LECTURES ON ADVANCES IN AUTOMOTIVE TECHNOLOGY
#4
C
M
&
cLaypoolMor
gan publishers
&
ABSTRACT
anks to the potential of reducing fuel consumption and emissions, hybrid electric vehicles
(HEVs) have been attracting more and more attention from car manufacturers and researchers.
Due to involving two energy sources, i.e., engine and battery, the powertrain in HEVs is a
complicated electromechanical coupling system that generates noise and vibration different from
that of a traditional vehicle. Accordingly, it is very important to explore the noise and vibration
characteristics of HEVs. In this book, a hybrid vehicle with two motors is taken as an example,
consisting of a compound planetary gear set (CPGS) as the power-split device, to analyze the
noise and vibration characteristics. It is specifically intended for graduates and anyone with an
interest in the electrification of full hybrid vehicles.
e book begins with the research background and significance of the HEV. e second
chapter presents the structural description and working principal of the target hybrid vehicle.
Chapter 3 highlights the noise, vibration, and harshness (NVH) tests and corresponding anal-
ysis of the hybrid powertrain. Chapter 4 provides transmission system parameters and meshing
stiffness calculation. Chapter 5 discusses the mathematical modeling and analyzes torsional vi-
bration (TV) of HEVs. Finally, modeling of the hybrid powertrain with ADAMS is given in
Chapter 6.
KEYWORDS
hybrid, compound planetary gear set, power-split, torsional vibration, noise, trans-
mission efficiency
vii
Contents
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix
Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi
Nomenclature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiii
1
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
2
Structural Description and Work Principle of Full Hybrid Vehicles . . . . . . . . . . 5
2.1 e Efficiency of the Transmission System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
2.1.1 Hybrid Driving Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
2.1.2 Pure Electric Driving Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
2.1.3 Over Speed Driving Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
2.1.4 Standstill Charging Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
2.2 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
3
NVH Testing and Analysis of Hybrid Powertrains . . . . . . . . . . . . . . . . . . . . . . . 19
3.1 Prepare of Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
3.1.1 Test Environment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
3.1.2 Test Equipment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
3.1.3 Measuring Point Arrangement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
3.2 Description of the Test Program and Conditions . . . . . . . . . . . . . . . . . . . . . . . 25
3.3 Analysis of the Experimental Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
3.3.1 Test Results of Working Condition 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
3.3.2 Test Results of Working Condition 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
3.3.3 Test Results of Working Condition 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
3.3.4 Test Results of Working Condition 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
3.3.5 Test Results of Working Condition 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
3.4 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
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
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