Performance Enhancement of Vehicle Mechatronic Inertial Suspension, Employing a Bridge Electrical Network
Abstract
:1. Introduction
2. Model Building
2.1. Seven-Degree-of-Freedom Vehicle Model
2.2. Bridge Network
2.3. Series-Parallel Network
3. Optimization of the Inertial Suspension Parameters
4. Discussion
4.1. Road Input
4.2. Performance Analysis of Mechatronic Inertial Suspension
5. Experimental Research
5.1. Structure Selection and Real Vehicle Installation
5.2. Random Road Input
5.3. Pulse Road Input
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Parameters | Symbol | Unit | Value |
---|---|---|---|
Sprung mass | ma | kg | 1659 |
Unsprung mass of left and right front wheels | m1, m2 | kg | 47.5 |
Unsprung mass of left and right rear wheels | m3, m4 | kg | 42.5 |
Spring stiffness of front axle suspension | kf | kN·m−1 | 25 |
Spring stiffness of rear axle suspension | kr | kN·m−1 | 22 |
Damping coefficient of front axle suspension | cf | kN·s·m−1 | 1.8 |
Damping coefficient of rear axle suspension | cr | kN·s·m−1 | 1.5 |
Equivalent stiffness of tire | Kt | kN·m−1 | 192 |
Distance from front axle to body centroid | l1 | m | 1.28 |
Distance from rear axle to body centroid | l2 | m | 1.43 |
Wheelbase | d | m | 1.62 |
Inertance of rear suspension | b | kg | 308 |
Body roll moment of inertia | Ix | kg·m2 | 1088 |
Body pitch moment of inertia | Iy | kg·m2 | 3032 |
Parameters | Bridge Network | Series-Parallel Network | ||||
---|---|---|---|---|---|---|
(a) | (b) | (c) | (d) | (e) | (f) | |
Capacitance C1 (mF) | 8 | 3 | 8.4 | 6.3 | 2.5 | 7.5 |
Inductance L1 (mH) | 18.8 | 17.5 | 3.5 | 16 | 13.7 | 15 |
Resistance R1 (Ω) | 2908 | 2553 | 857 | 2976 | 2856 | 2598 |
Resistance R2 (Ω) | 2984 | 2824 | 3000 | 2768 | 2708 | 2714 |
Resistance R3 (Ω) | 2992 | 2996 | 1350 | 2748 | 2158 | 2944 |
Suspension Performance Index | Passive Suspension | Bridge Network | ||
---|---|---|---|---|
(a) | (b) | (c) | ||
RMS of centroid acceleration (m·s−2) | 1.8792 | 1.7902 | 1.8023 | 1.8010 |
RMS of body roll angular acceleration (rad·s−2) | 0.1059 | 0.1044 | 0.1037 | 0.1037 |
RMS of body pitch angular acceleration (rad·s−2) | 1.3827 | 1.3440 | 1.3532 | 1.3539 |
RMS of working space of left front suspension (m) | 0.0266 | 0.0256 | 0.0257 | 0.0257 |
RMS of dynamic tire load of left front wheel (kN) | 1.9287 | 1.8665 | 1.8781 | 1.8781 |
RMS of working space of left rear suspension (m) | 0.0271 | 0.0201 | 0.0202 | 0.0203 |
RMS of dynamic tire load of left rear wheel (kN) | 1.8907 | 1.7389 | 1.7497 | 1.7495 |
Suspension Performance Index | Passive Suspension | Series-Parallel Network | ||
---|---|---|---|---|
(d) | (e) | (f) | ||
RMS of centroid acceleration (m·s−2) | 1.8792 | 1.8354 | 1.8378 | 1.8446 |
RMS of body roll angular acceleration (rad·s−2) | 0.1059 | 0.1131 | 0.1125 | 0.1125 |
RMS of body pitch angular acceleration (rad·s−2) | 1.3827 | 1.4571 | 1.4591 | 1.4642 |
RMS of working space of left front suspension (m) | 0.0266 | 0.0253 | 0.0252 | 0.0254 |
RMS of dynamic tire load of left front wheel (kN) | 1.9287 | 1.8444 | 1.8441 | 1.8528 |
RMS of working space of left rear suspension (m) | 0.0271 | 0.0229 | 0.0233 | 0.0230 |
RMS of dynamic tire load of left rear wheel (kN) | 1.8907 | 1.7855 | 1.7897 | 1.7935 |
Parameter | Value | Parameter | Value |
---|---|---|---|
Nominal shaft diameter d0 (mm) | 16 | Rated power P (W) | 2000 |
Lead P (mm) | 5 | Rated speed ne (r·min−1) | 3000 |
Center distance of balls on both sides dp (mm) | 16.75 | Maximum speed nm (r·min−1) | 6000 |
Groove diameter dc (mm) | 13.5 | Rated torque Te (N·m) | 5.88 |
Number of columns × Number of turns | 1 × 2.65 | Rated voltage Ue (V) | 310 |
Effective stroke l0 (mm) | 120 | Rated current Ie (A) | 6 |
Lead screw stiffness kl (N·μm−1) | 130 | Inductive torque constant kt (N·m/A) | 0.98 |
Dynamic rated load ca (kN) | 5.4 | Inductive voltage constant ke (V·s/rad) | 0.98 |
Static rated load coa (kN) | 13.3 | Allowable stress σp (N·mm−2) | 150 |
Dynamic load coefficient ks | 2 | Radius of flywheel r (mm) | 30 |
Static load coefficient kd | 3 | Thickness of flywheel h (mm) | 20 |
Performance Index | RMS of Passive Suspension | Bridge Network (a) | |
---|---|---|---|
RMS | Improvement (%) | ||
Centroid acceleration (m·s−2) | 1.2656 | 1.2428 | 1.8 |
Vehicle body roll angular acceleration (rad·s−2) | 1.1139 | 1.0526 | 5.5 |
Vehicle body pitch angular acceleration (rad·s−2) | 0.4426 | 0.4643 | −4.9 |
Working space of left front suspension (m) | 0.0142 | 0.0138 | 2.5 |
Dynamic tire load of left front wheel (N) | 1022 | 1000 | 2.2 |
Working space of left rear suspension (m) | 0.0145 | 0.0114 | 21.1 |
Dynamic tire load of left rear wheel (N) | 981 | 919 | 6.3 |
Performance Index | Peak to Peak of Passive Suspension | Bridge Network (a) | |
---|---|---|---|
Peak to Peak | Improvement (%) | ||
Centroid acceleration (m·s−2) | 7.2110 | 7.1722 | 0.5 |
Vehicle body roll angular acceleration (rad·s−2) | 4.9686 | 4.5532 | 8.4 |
Vehicle body pitch angular acceleration (rad·s−2) | 9.6225 | 10.1903 | -5.9 |
Working space of left front suspension (m) | 0.1128 | 0.1102 | 2.3 |
Dynamic tire load of left front wheel (N) | 7200 | 7038 | 2.2 |
Working space of left rear suspension (m) | 0.1234 | 0.1008 | 18.3 |
Dynamic tire load of left rear wheel (N) | 7047 | 6568 | 6.8 |
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Zhang, T.; Yang, X.; Shen, Y.; Liu, X.; He, T. Performance Enhancement of Vehicle Mechatronic Inertial Suspension, Employing a Bridge Electrical Network. World Electr. Veh. J. 2022, 13, 229. https://doi.org/10.3390/wevj13120229
Zhang T, Yang X, Shen Y, Liu X, He T. Performance Enhancement of Vehicle Mechatronic Inertial Suspension, Employing a Bridge Electrical Network. World Electric Vehicle Journal. 2022; 13(12):229. https://doi.org/10.3390/wevj13120229
Chicago/Turabian StyleZhang, Tianyi, Xiaofeng Yang, Yujie Shen, Xiaofu Liu, and Tao He. 2022. "Performance Enhancement of Vehicle Mechatronic Inertial Suspension, Employing a Bridge Electrical Network" World Electric Vehicle Journal 13, no. 12: 229. https://doi.org/10.3390/wevj13120229