Influences of inertial mass coefficient on frequency characteristics of ISD suspension systems
YANG Xiao-feng1 , DU Yi1 , LIU Yan-ling1 , HU Jian-bin1 , LIU Chang-ning1, XU Xu2
1. College of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang 212013, China;
2. College of Science, Jiangsu University, Zhenjiang 212013, China
The influences of inertial mass coefficient on partial frequency and dominant frequency of inerter-spring-damper (ISD) suspension systems were studied. 10 effective ISD suspensions were presented based on different permutations and combinations of inerter, spring and damper, and working features of passive mechanical components. These ISD suspensions were classified into four types of undamped suspensions according to their undamped impedances. 3 types of undamped suspensions containing an inerter were studied. It was found that partial frequency and dominant frequency numbers of these 3 types of undamped suspensions are obviously different due to effects of inerter mass impedance and new mechanical network’s topological characteristics. Simulation results indicated that partial frequency and dominant frequency of various suspensions can be reduced with increase in inertial mass coefficient to make their dominant frequencies be away from the most sensitive frequency range of human body in the vertical direction; furthermore, influences of inertial mass coefficient on partial frequency and dominant frequency of suspensions gradually decrease with increase in inertial mass coefficient.
杨晓峰1,杜 毅1,刘雁玲1,胡健滨1,刘昌宁1,徐旭2. 惯质系数对车辆ISD悬架系统频率特性的影响研究[J]. 振动与冲击, 2018, 37(7): 240-246.
YANG Xiao-feng1,DU Yi1,LIU Yan-ling1,HU Jian-bin1,LIU Chang-ning1, XU Xu2. Influences of inertial mass coefficient on frequency characteristics of ISD suspension systems. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(7): 240-246.
[1] Smith M C. Synthesis of mechanical networks: the inerter[J]. IEEE Transactions on Automatic Control, 2003, 47(10):1657-1662.
[2] 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.
[3] Jiang J Z, Matamoros-Sanchez A Z. Passive suspensions incorporating inerters for railway vehicles[J]. Vehicle System Dynamics, 2012, 50(1):263-276.
[4] Limebeer D J N, Sharp R S. Bicycles, motorcycles, and models[J]. IEEE Control Systems, 2006, 26(5):34-61.
[5] Wang F C, Hong M F, Chen C W. Building suspensions with inerters[J]. ARCHIVE Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science 1989-1996 , 2010, 224(8):1605-1616.
[6] Hanazawa Y, Suda H, Yamakita M. Analysis and experiment of flat-footed passive dynamic walker with ankle inerter[C]// IEEE International Conference on Robotics and Biomimetics. IEEE, 2011:86-91.
[7] Smith M C, Wang F C.Performance benefits in passive vehicle suspensions employing inerters [J]. Vehicle System Dynamics, 2004, 42(4): 235-257.
[8]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(1):167-174.
GE Zheng, WANG Weirui.Vehicle. Active ISD-DVA suspension system [J]. Journal of Vibration and Shock, 2017(1):167-174.
[9]Shen Y, Chen L, Yang X, et al. Improved design of dynamic vibration absorber by using the inerter and its application in vehicle suspension[J]. Journal of Sound & Vibration, 2016, 361:148-158.
[10]Wang R, Ye Q, Sun Z, et al. A study of the hydraulically interconnected inerter-spring-damper suspension system[J]. Mechanics Based Design of Structures and Machines, 2016:1-15.
[11]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(6):59-65.
DU Fu, MAO Ming, CHEN Yitie, 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.
[12]陈龙, 张孝良, 江浩斌,等. 基于机电系统相似性理论的蓄能悬架系统[J]. 中国机械工程, 2009, 20(10):1248-1251.
CHEN Long, ZhANGXiaoliang, JIANG Haobin, et al. Vehicle suspension system employing inerter based on electrical-mechanical analogy theory[J]. China Mechanical Engineering, 2009, 20(10):1248-1251.
[13] 陈龙, 张孝良, 聂佳梅, 等. 基于半车模型的两级串联型ISD悬架性能分析[J]. 机械工程学报, 2012, 48(6):102-108.
CHEN Long, ZHANGXiao-liang,NIE Jia-mei, et al. Performance analysis of two-stage series-connectedinerter-spring-dampersuspension based on half-car model[J]. Journal of Mechanical Engineering, 2012, 48(6):102-108.
[14] Zhang X J, Ahmadian M, Guo K H. On the benefits of semi-active suspensions with inerters[J].Shock and Vibration, 2012, 19(3):257-272.
[15] Chen M Z Q, Hu Y, Huang L, et al. Influence of inerter on natural frequencies of vibration systems [J]. Journal of
Sound and Vibration, 2014,333(7):1874-1887.
[16] 陈龙, 杨晓峰, 汪若尘, 等. 基于二元件ISD结构隔振机理的车辆被动悬架设计与性能研究[J]. 振动与冲击,2013, 32(6):90-95.
CHEN Long, YANG Xiaofeng, WANG Ruochen, et al. Design and performance study of vehicle passive suspension based on two-element inerter-spring-damper structure vibration isolation mechanism[J]. Journal of Vibration and Shock, 2013, 32(6): 90-95.
[17]陈龙, 杨晓峰, 汪若尘, 等. 改进的ISD三元件车辆被动悬架性能的研究[J]. 汽车工程, 2014, 36(3):340-345.
CHEN Long, YANG Xiaofeng, WANG Ruochen, et al.A study on the performances of vehicle passive suspension withmodified inerter-spring-damper three-element structure[J]. Automotive Engineering, 2014, 36(3):340-345.