忆惯容器非线性悬架的网络综合设计方法

聂佳梅, 黄小荣, 张孝良, 等

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

华南理工大学学报(自然科学版) >

2022 , Vol. 50 >Issue 9: 78 - 89

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

交通运输工程

忆惯容器非线性悬架的网络综合设计方法

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^1.江苏大学汽车与交通工程学院，江苏镇江 212013
^2.江苏大学汽车工程研究院，江苏镇江 212013

聂佳梅（1981-），女，博士，副教授，主要从事车辆动态性能模拟与控制研究。E-mail:niejm@ujs.edu.cn

收稿日期: 2021-10-25

网络出版日期: 2022-02-10

基金资助

国家自然科学基金青年项目(51805223)

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Network Synthesis Design Method of Nonlinear Mem-inerter Suspension System

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^1.School of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang 212013, Jiangsu, China
^2.Automotive Engineering Research Institute, Jiangsu University, Zhenjiang 212013, Jiangsu, China

聂佳梅（1981-），女，博士，副教授，主要从事车辆动态性能模拟与控制研究。E-mail:niejm@ujs.edu.cn

Received date: 2021-10-25

Online published: 2022-02-10

Supported by

the National Natural Science Foundation of China(51805223)

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摘要

忆惯容器与电学中的忆容器对应，是一种具有记忆特性和自适应性的非线性被动元件。目前，非线性的阻尼与弹簧元件已有广泛研究，而非线性的忆惯容器及其在悬架上的应用却鲜有报道，忆惯容器悬架的结构与参数设计仍是一个难题。为此，本研究根据能量方法证明了忆惯容器的等效惯质定理，基于该定理提出一种忆惯容器非线性悬架的网络综合设计方法，包括结构综合与参数综合。结构综合将悬架网络看作一个鲁棒控制器，通过求解控制器的方法获得忆惯容器悬架结构。参数综合运用多目标参数优化方法确定悬架的系统参数，并根据实际工程情况计算得到悬架的装配参数。在此基础上设计了一阶及高阶忆惯容器悬架网络系统，并给出了1/4车辆模型的动力学方程。对悬架模型进行仿真分析，在正弦激励输入下的传递特性表明，各阶忆惯容器悬架都具有良好的载荷适应性。随机路面输入下的响应特性显示，与对应的线性悬架相比，采用网络综合方法设计的各阶忆惯容器非线性悬架的车身加速度出现了明显的降低，轮胎动载荷得到了改善，表现出了更好的行驶平顺性和操纵稳定性，表明悬架网络综合设计方法是可行的。

关键词： 忆惯容器; 网络综合; 等效惯质定理; 参数优化; 载荷适应性

本文引用格式

聂佳梅, 黄小荣, 张孝良, 等 . 忆惯容器非线性悬架的网络综合设计方法[J]. 华南理工大学学报(自然科学版), 2022 , 50(9) : 78 -89 . DOI: 10.12141/j.issn.1000-565X.210677

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

参考文献

1	SMITH M C. Synthesis of mechanical networks： the inerter［J］．IEEE Transactions on Automatic Control，2002，47（10）： 1648-1662．
2	SMITH M C， WANG F C ．Performance benefits in passive vehicle suspensions employing inerters［J］．Vehicle System Dynamics，2004，42（4）：235-257．
3	谭德昕，刘献栋，单颖春.惯容器在车辆减振系统中的应用研究综述［J］．汽车工程学报，2011，1（5）：342-347.
3	TAN Dexin， LIU Xiandong， SHAN Yingchun. Review on the inerter and its applications in vehicle damping system［J］．Chinese Journal of Automotive Engineering， 2011，1（5）：342-347.
4	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．
4	CHEN Long， ZHANG Xiaoliang， JIANG Haobin，et al. Vehicle suspension system employing inerter based on electrical-mechanical analogy theory［J］．China Mechanical Engineering，2009，20（10）：1248-1251.
5	CHEN M Z Q， HU Y， LI C，et al. Semi-active suspension with semi-active inerter and semi-active damper［C］∥Proceedings of the 19th World Congress The International Federation of Automatic Control．Cape Town：IFAC s，2014：11225-11230.
6	HU Y， CHEN M Z Q， XU S，et al. Semi-active inerter and its application in adaptive tuned vibration absorbers［J］．IEEE Transactions on Control Systems Technology，2016，25（1）：294-300.
7	ZHANG X L， GAO Q， NIE J M. The mem-inerter：a new mechanical element with memory［J］．Advances in Mechanical Engineering，2018，10（6），1-13.
8	罗胜钦，刘芳，韩志刚．网络综合原理［M］．上海：同济大学出版社，2009．
9	聂佳梅，张孝良，陈国涛．车辆ISD悬架系统网络综合及性能分析［J］．振动与冲击，2016，35（24）：115-119．
9	NIE Jiamei， ZHANG Xiaoliang， CHEN Guotao. The network synthesis and characteristics analysis of an inerter-spring-damper suspension system［J］．Journal of Vibration and Shock，2016，35（24）：115-119.
10	WANG F C， LIAO M K， LIAO B H，et al. The performance improvements of train suspension systems with mechanical networks employing inerters［J］．Vehicle System Dynamics，2009，47（7）：805-830.
11	PAPAGEORGIOU C， SMITH M C. Positive real synthesis using matrix inequalities for mechanical networks：application to vehicle suspension［J］．IEEE Transactions on Control System Dynamics，2006，14（3）：423-435．
12	CHUA L. Memristor—the missing circuit element［J］．IEEE Transactions on Circuit Theory，1971，18（5）：507-519.
13	STRUKOV D B， Snider G S， Stewart D R，et al. The missing memristor found［J］．Nature，2008，453（7191）：80-83.
14	DI VENTRA M， PERSHIN Y V， CHUA L O ．Circuit elements with memory：memristors，memcapacitors，and meminductors［J］．Proceedings of the IEEE，2009，97（10）：1717-1724.
15	WANG F Z. A triangular periodic table of elementary circuit elements［J］．IEEE Transactions on Circuit and System，2013，60（3）：616-623.
16	ILBEIGI S， JAHANPOUR J， FARSHIDIANFAR A. A novel scheme for nonlinear displacement-dependent dampers［J］．Nonlinear Dynamics，2012，70（1）：421-434.
17	PEI J S， ASCE M. Mem-Spring models combined with hybrid dynamical system approach to represent material behavior［J］．Journal of Engineering Mechanics，2018，144（12）：04018109/1-17.
18	JELTSEMA D， DORIA-CEREZO A ．Mechanical memory elements modeling of systems with position-dependent mass revisited［C］∥Proceedings of 49th IEEE Conference on Decision and Control．Atlanta：IEEE，2010：3511-3516.
19	ZHANG X L， NIE J M， HUANG Z X，et al ．Hydraulic mem-inerter container device and applications thereof：US 11，078，981 B2［P］．2021-08-03.
20	WANG G Y， ZANG S C， WANG X Y，et al ．Memcapacitor model and its application in chaotic oscillator with memristor［J］．Chaos，2017，27（1）：013110/1-12.
21	ZHANG X L， GENG C， NIE J M，et al ．The missing mem-inerter and extended mem-dashpot found［J］．Nonlinear Dynamics，2020（7）：10.1007/s11071-020-05837-7.
22	张孝良，耿灿，聂佳梅，等．液力忆惯容器装置建模与特性试验［J］．浙江大学学报（工学版），2021，55（3）：430-440．
22	ZHANG Xiaoliang， GENG Can， NIE Jiamei，et al. Modelling and characteristic test for hydraulic mem-inerter device［J］．Journal of Zhejiang University（Engineering Science），2021，55（3）：430-440
23	耿灿．忆惯容器的记忆特性与自适应性［D］．镇江：江苏大学，2020．

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