Optimal design and performance research of vehicle mechatronic inertial suspension based on a bridge network
YANG Xiaofeng1,HE Tao1,SHEN Yujie2,LIU Yanling1,ZHANG Ying3
1.School of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang 212013, China;
2.Automotive Engineering Research Institute, Jiangsu University, Zhenjiang 212013, China;
3.College of Civil and Transportation Engineering, Shenzhen University, Shenzhen 518060, China
Abstract:In order to further enhance the vibration isolation potential of vehicle suspension using mechatronic inerter, a quarter dynamic model of vehicle mechatronic inertial suspension based on bridge electrical network structure was established, and deduced the output force expression of mechatronic inerter. According to the solution method of bridge network impedance, three basic bridge network structures were selected and compared with their corresponding series-parallel network structures. The analysis results show that under the same number of components, the bridge network can realize higher order impedance transfer function than the series-parallel network. Aiming at improving the comprehensive performance of vehicle suspension, the optimal parameters of several different structures of vehicle mechatronic inertial suspension were obtained by pattern search method. The simulation results under random road surface show that, with the same number of components, the bridge network has better vibration isolation effect than the vehicle mechatronic inertial suspension with series-parallel network, which provides a new method for the design of vehicle suspension system with mechatronic inerter.
杨晓峰1,何涛1,沈钰杰2,刘雁玲1,张颖3. 基于桥式网络的车辆机电惯性悬架优化设计与性能研究[J]. 振动与冲击, 2023, 42(8): 96-103.
YANG Xiaofeng1,HE Tao1,SHEN Yujie2,LIU Yanling1,ZHANG Ying3. Optimal design and performance research of vehicle mechatronic inertial suspension based on a bridge network. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(8): 96-103.
[1] Smith M C. Synthesis of mechanical networks: the inerter[J]. IEEE Transactions on Automatic Control, 2002, 47(10): 1648-1662.
[2] 葛正, 王维锐. 车辆主动惯容式动力吸振悬架系统研究[J]. 振动与冲击, 2017, 36(1): 167-174.
GE Zheng, WANG Weirui. Vehicle active ISD-DVA suspension system[J]. Journal of Vibration and Shock, 2017, 36(1): 167-174.
[3] Yang Xiaofeng, Song Hang, Shen Yujie, et al. Control of the Vehicle Inertial Suspension based on the Mixed Skyhook and Power-driven-damper Strategy[J]. IEEE Access, 2020, 8: 217473-217482.
[4] 杨晓峰, 赵文涛, 刘雁玲, 等. 液电耦合式车辆可控ISD悬架性能分析与试验研究[J]. 中南大学学报(自然科学版), 2019, 50(9): 2327-2334.
YANG Xiaofeng, ZHAO Wentao, LIU Yanling, et al. Performance analysis and experimental study of hydro-electric coupling vehicle controllable ISD suspension[J]. Journal of Central South University(Science and Technology), 2019, 50(9): 2327-2334.
[5] 杜甫, 毛明, 陈轶杰, 等. 基于动力学模型与参数优化的ISD悬架结构设计及性能分析[J]. 振动与冲击, 2014, 33(06): 59-65.
DU Fu, MAO Ming, CHEN Yijie, et al. Structure design and performance analysis of inerter-spring-damper suspension structure based on dynamic model and parameter optimization[J]. Journal of Vibration and Shock, 2014, 33(6): 59−65.
[6] 刘雁玲, 颜龙, 杨晓峰, 等. 基于ADD正实网络的车辆ISD悬架优化设计与性能研究[J]. 振动与冲击, 2021, 40(11): 262-268.
LIU Yanling, YAN Long, YANG Xiaofeng, et al. Optimization design and performance of vehicle ISD suspension based on ADD positive real network[J]. Journal of Vibration and Shock, 2021, 40(11): 262-268.
[7] 毛明, 王乐, 陈轶杰,等. 惯容器及惯容器-弹簧-阻尼器悬架研究进展[J]. 兵工学报, 2016, 37(3): 525−534.
MAO Ming, WANG Le, CHEN Yijie, et al. Research progress of inerter and Inerter-Spring-Damper suspension[J]. Acta Armamentarii, 2016, 37(3): 525−534.
[8] Wang F C, Chan H A. Vehicle suspensions with a mechatronic network strut[J]. Vehicle System Dynamics, 2011, 49(5): 811-830.
[9] López-Martínez J, Castillo J, García-Vallejo D, et al. A new electromechanical analogy approach based on electrostatic coupling for vertical dynamic analysis of planar vehicle models[J]. IEEE Access, 2021, 9: 119492-119502.
[10] Chen M Z Q, Papageorgiou C, Scheibe F, et al. The missing mechanical circuit element[J]. IEEE Circuits and Systems Magazine, 2009, 9(1): 10-26.
[11] Li Yuehao, Cheng Zhe, Hu Niaoqing, et al. Modeling, Design and Experiments of a ball-screw inerter with mechanical diodes[J]. Journal of Sound and Vibration, 2021, 504:116121.
[12] Yang Xiaofeng, Yan Long, Shen Yujie, et al. Optimal Design and Dynamic Control of an ISD Vehicle Suspension Based on an ADD Positive Real Network[J]. IEEE Access, 2020, 8:94294-94306.
[13] Shen Yujie, Jiang J Z, Neild S A, et al. Vehicle vibration suppression using an inerter-based mechatronic device[J]. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2020, 234(10-11):2592-2601.
[14] Ning Donghong, Du Haiping, Zhang Nong, et al. Controllable Electrically Interconnected Suspension System for Improving Vehicle Vibration Performance[J]. IEEE/ASME Transactions on Mechatronics, 2020, 25(2):859-871.
[15] Smith M C, Wang F C. Performance benefits in passive vehicle suspensions employing inerters[J]. Vehicle System Dynamics, 2004, 42(4): 235-257.
[16] Jiang J Z, Smith M C. Regular Positive-Real Functions and Five-Element Network Synthesis for Electrical and Mechanical Networks[J]. IEEE Transactions on Automatic Control, 2010, 56(6):1275-1290.
[17] Zhang S Y, Jiang J Z, Neild S A. Passive vibration control: a structure-immittance approach[J]. Proceedings of the Royal Society A-Mathematical Physical and Engineering Science, 2017, 473(2201): 1-21.
[18] Hu Yinlong, Chen M Z Q. Low-complexity passive vehicle suspension design based on element-number-restricted networks and low-order admittance networks[J]. Journal of Dynamic Systems Measurement and Control, 2018, 140(10):101014.
[19] Wang Kai, Chen M Z Q. Passive mechanical realizations of bicubic impedances with no more than five elements for inerter-based control design[J]. Journal of the Franklin Institute, 2021, 358(10): 5353-5385.
[20] 沈钰杰, 刘雁玲, 陈龙, 等. 基于高阶阻抗传递函数的车辆ISD悬架优化设计与性能分析[J]. 振动与冲击, 2019, 38(22): 83-87.
SHEN Yujie, LIU Yanling, CHEN Long, et al. Optimal design and performance analysis of a vehicle ISD suspension based on the high order impedance transfer function[J]. Journal of Vibration and Shock, 2019, 38(22): 83-87.
[21] Versfeld L. Remarks on star-mesh transformation of electrical networks[J]. Electronics Letters, 1970, 6(19):597-599.
[22] Zhong Rongqiang, Bi Chuang, Chen Yong, et al. A Simplified Method for Extracting Parasitic Inductances of MOSFET-Based Half-Bridge Circuit[J]. IEEE Access, 2021, 9:14122-14129.
[23] Lee S, Frisch I. A Class of RLC Networks with Fewer Nonreactive Elements than the Brune Realization[J]. IEEE Transactions on Circuit Theory, 1964, 11(3):418-421.
[24] Advani J, Gupta O. Networks for a Subclass of Minimum Biquartic Impedance Functions[J]. IEEE Transactions on Circuit Theory, 1965, 12(4):621-622.
[25] 陈志强, 王锴, 李婵颖, 等. 一类五元件桥式网络的双二次函数实现[C]//第三十三届中国控制会议论文集(E卷), 2014:838-843.
CHEN M Z Q, WANG Kai, LI Chanying, et al. Realizations of biquadratic impedances as five-element bridge networks containing one inductor and one capacitor[C]//Proceedings of the 33rd Chinese Control Conference(volume E), 2014:838-843.
[26] 张赣波, 赵耀, 张晓东. 三元件“惯容―弹簧”反共振隔振器隔振特性分析[J]. 哈尔滨工程大学学报, 2021, 42(6): 766-772.
ZHANG Ganbo, ZHAO Yao, ZHANG Xiaodong. Vibration isolation characteristics of three elements of ‘inerter-spring’ anti-resonant isolator[J]. Journal of Harbin Engineering University, 2021, 42(6): 766-772
[27] 陈龙, 沈钰杰, 杨晓峰, 等.基于惯容器-弹簧结构体系的车辆悬架结构设计与试验[J]. 振动与冲击, 2014, 33(22): 83-87.
CHEN Long, SHEN Yujie, YANG Xiaofeng, et al. Design and experiment of vehicle suspension based on inerter-spring structure[J]. Journal of Vibration and Shock, 2014, 33(22): 83-87.