Network Synthesis Design Method of Nonlinear Mem-inerter Suspension System

doi:10.12141/j.issn.1000-565X.210677

Abstract

Abstract:

Mem-inerter, corresponding to the memcapacitor in electricity, is a nonlinear passive element with memory characteristics and adaptability. At present, nonlinear damper and spring have been widely studied, but there are few reports on nonlinear mem-inerter and its application in suspension. The structure and parameter design of mem-inerter suspension is still a difficult problem. Under this background, this study proved the equivalent inertance theorem of the mem-inerter according to the energy method. Based on this theorem, it proposed a network synthesis design method for the nonlinear suspension system of the mem-inerter, including structure synthesis and parameter synthesis. The structure synthesis regards the suspension network as a robust controller and obtains the mem-inerter suspension structure by solving the controller. The multi-objective parameter optimization method was used to determine the system parameters of the suspension, and the assembly parameters of the suspension were calculated based on the actual engineering situation. On this basis, the first-order and high-order mem-inerter suspension network system were designed, and the dynamic equations of 1/4 vehicle model was given. The simulation analysis of the suspension model was carried out. The transmission characteristics under sinusoidal excitation input show that each order of mem-inerter suspension has good load adaptability. The response characteristics under random road input show that compared with the corresponding linear suspension, the body acceleration of each order of nonlinear mem-inerter suspension designed by the network synthesis method is significantly reduced, and the dynamic tire load is improved, showing better driving comfort and handling stability and indicating the feasiblity of the suspension network synthesis design method.

Key words: mem-inerter, network synthesis, equivalent inertance theorem, parameter optimization, load adaptability

CLC Number:

U463.33

NIE Jiamei, HUANG Xiaorong, ZHANG Xiaoliang, et al. Network Synthesis Design Method of Nonlinear Mem-inerter Suspension System[J]. Journal of South China University of Technology(Natural Science Edition), 2022, 50(9): 78-89.

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悬架类别	元件参数	下限值	上限值
一阶	阻尼系数c/（N·s·m^-1）	500	5 000
一阶	惯质系数b/kg	50	2 000
二阶	阻尼系数c/（N·s·m^-1）	500	5 000
	惯质系数b/kg	50	2 000
	弹簧刚度k/（N·m^-1）	5 000	20 000
三阶	阻尼系数c₁/（N·s·m^-1）	500	5 000
	阻尼系数c₂/（N·s·m^-1）	100	2 000
	惯质系数b/kg	50	2 000
	弹簧刚度k₁/（N·m^-1）	1 000	20 000
	弹簧刚度k₂/（N·m^-1）	1 000	20 000

悬架类别	元件参数	数值
一阶	阻尼系数c/（N·s·m^-1）	1 901
一阶	惯质系数b/kg	1 275
二阶	阻尼系数c/（N·s·m^-1）	1 208
	惯质系数b/kg	360
	弹簧刚度k/（N·m^-1）	9 680
三阶	阻尼系数c₁/（N·s·m^-1）	1 633
	阻尼系数c₂/（N·s·m^-1）	503
	惯质系数b/kg	1 075
	弹簧刚度k₁/（N·m^-1）	2 099
	弹簧刚度k₂/（N·m^-1）	2 027

工作点	悬架类别	惯质系数b/kg
半载	一阶	944
	二阶	266
	三阶	890
空载	一阶	606
	二阶	175
	三阶	696

悬架类别	参数种类	参数名称	数值
一阶	结构参数	惯质常数b₀/（kg·m^-1）	8 362.5
	结构参数	活塞宽度w/m	0.14
	装配参数	满载静平衡位置L_f/m	0.152
	装配参数	空载静平衡位置L_n/m	0.072
二阶	结构参数	惯质常数b₀/（kg·m^-1）	3 304
	结构参数	活塞宽度w/m	0.10
	装配参数	满载静平衡位置L_f/m	0.109
	装配参数	空载静平衡位置L_n/m	0.053
三阶	结构参数	惯质常数b₀/（kg·m^-1）	9 718
	结构参数	活塞宽度w/m	0.14
	装配参数	满载静平衡位置L_f/m	0.110
	装配参数	空载静平衡位置L_n/m	0.071

车辆载荷	车辆响应	线性惯容器悬架	忆惯容器悬架	降幅/%
满载	车身垂向加速度/（m·s^-2）	0.916 6	0.917 5	-0.1
	悬架动行程/m	0.011 0	0.010 4	5.5
	车轮动载荷/kN	0.739 0	0.735 9	0.4
半载	车身垂向加速度/（m·s^-2）	1.100 0	0.995 3	9.5
	悬架动行程/m	0.009 5	0.009 3	2.1
	车轮动载荷/kN	0.737 0	0.661 7	10.2
空载	车身垂向加速度/（m·s^-2）	1.412 7	1.204 3	14.8
	悬架动行程/m	0.008 4	0.008 4	0.0
	车轮动载荷/kN	0.741 0	0.629 5	15.0