基于相对加速度-相对速度控制的半主动惯容隔振器动态特性研究

王勇1,汪若尘1,孟浩东2,张步云1

振动与冲击 ›› 2019, Vol. 38 ›› Issue (21) : 194-201.

PDF(1477 KB)
PDF(1477 KB)
振动与冲击 ›› 2019, Vol. 38 ›› Issue (21) : 194-201.
论文

基于相对加速度-相对速度控制的半主动惯容隔振器动态特性研究

  • 王勇1,汪若尘1,孟浩东2,张步云1
作者信息 +

Dynamic characteristics of semi active inerter-based vibration isolator with relative acceleration-relative velocity control

  • WANG Yong1,2,WANG Ruochen1, MENG Haodong3, ZHANG Buyun1
Author information +
文章历史 +

摘要

将惯质系数可调的半主动惯容器应用到隔振器中,根据其力学特性,提出相对加速度-相对速度控制策略调节半主动惯容器的惯质系数在最大与最小惯质系数间切换。研究三元件并联式与串联式半主动惯容隔振器在基础简谐激励下的动态特性,运用平均法求解系统的动态响应,并与数值解进行对比。定义动态位移峰值、绝对位移传递率峰值、隔振频带以及高频带的绝对位移传递率四个性能评价指标来评价系统的隔振性能,并与被动惯容隔振器进行对比分析。研究表明相较被动惯容隔振器,半主动惯容隔振器有更好的隔振性能。

Abstract

A semi-active inerter with its inertance adjustable was applied in a vibration isolator.Based on its mechanical features, the relative acceleration-relative velocity control strategy was proposed to adjust its inertance between the maximum value and the minimum one.The dynamic characteristics of 3-element parallel connection and series connection semi-active inerter-based vibration isolators under base harmonic excitation were studied.The dynamic response of the system was solved using the averaging method, and compared with the numerical solution.Four performance evaluation indexes including dynamic displacement peak value, absolute displacement transmissibility peak value, vibration isolation frequency band and high frequency band absolute displacement transmissibility were defined to evaluate the system’s vibration isolation performance.The evaluating results were compared with those of the passive inerter-based vibration isolator.The results showed that compared with passive inerter-based vibration isolators, semi-active inerter-based vibration isolators have better vibration isolation performance.

关键词

半主动惯容器 / 隔振器 / 相对加速度-相对速度控制 / 平均法 / 动态特性

Key words

semi-active inerter / vibration isolator / relative-acceleration-relative-velocity control / averaging method / dynamic characteristics

引用本文

导出引用
王勇1,汪若尘1,孟浩东2,张步云1. 基于相对加速度-相对速度控制的半主动惯容隔振器动态特性研究[J]. 振动与冲击, 2019, 38(21): 194-201
WANG Yong1,2,WANG Ruochen1, MENG Haodong3, ZHANG Buyun1. Dynamic characteristics of semi active inerter-based vibration isolator with relative acceleration-relative velocity control[J]. Journal of Vibration and Shock, 2019, 38(21): 194-201

参考文献

[1] Ibrahim R A. Recent advances in nonlinear passive vibration isolators[J]. Journal of Sound and Vibration, 2008, 314(3): 371-452.
[2] Smith M C. Synthesis of mechanical networks: The inerter[J]. IEEE Transactions on Automatic Control, 2002, 47(10): 1648-1662.
[3] 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.
[4] HU Y, CHEN M Z Q, SHU Z, et al. Analysis and optimisation for inerter-based isolators via fixed-point theory and algebraic solution[J]. Journal of Sound and Vibration, 2015, 346: 17-36.
[5] WANG Yong, WANG Ruochen, MENG Haodong. Analysis and comparison of the dynamic performance of one-stage inerter-based and linear vibration isolators[J]. International Journal of Applied Mechanics, 2018, 10(1): 1850005.
[6] 吴庭, 王林翔. 复合式低频隔振器的理论建模及其性能分析[J]. 振动与冲击, 2017, 36(19): 232-235.
WU Ting, WANG Lin-xiang. Design and performance analysis of a composite low-frequency vibration isolator[J]. Journal of Vibration and Shock, 2017, 36(19): 232-235.
[7] 王勇, 汪若尘, 孟浩东. 一种具有几何非线性的斜置式惯容隔振器动态特性研究[J]. 振动与冲击, 2018, 37(21): 184-189.
WANG Yong, WANG Ruo-chen, Meng Hao-dong. Dynamic characteristics of an inclined inerter-based vibration isolator with geometrical nonlinearity[J]. Journal of Vibration and Shock, 2018, 37(21): 184-189.
[8] 张孝良, 陈龙, 聂佳梅等. 2级串联型ISD悬架频响特性分析与试验[J]. 江苏大学学报: 自然科学版, 2012, 33(3): 255-258.
ZHANG Xiao-liang, CHEN Long, NIE Jia-mei, et al. Analysis and experiment of frequency response characteristics of two-stage series-connected ISD suspension[J]. Journal of Jiangsu University(Natural Science Edition), 2012, 33(3): 255-258.
[9] 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 Yu-jie, YANG Xiao-feng et al. Design and experiment of vehicle suspension based on inerter-spring structure[J]. Journal of Vibration and Shock, 2014, 33(22): 83-87.
[10] 陈龙, 任皓, 汪若尘等. 液力式惯容器力学性能仿真与试验研究[J]. 振动与冲击, 2014, 33(12): 87-92.
CHEN Long, REN Hao, WANG Ruo-chen et al. Simulations and tests for mechanical properties of a hydraulic inerter[J]. Journal of Vibration and Shock, 2014, 33(12): 87-92.
[11] 王乐, 毛明, 雷强顺等. 液力惯容器特性研究[J]. 振动与冲击, 2018, 37(8): 146-152.
WANG Le, MAO Ming, LEI Qiang-shun et al. Modeling and testing for a hydraulic inerter[J]. Journal of Vibration and Shock, 2018, 37(8): 146-152.
[12] CHEN M Z Q, HU Y, LI C, et al. Semi-active suspension with semi-active inerter and semi-active damper[J]. IFAC Proceedings Volumes, 2014, 47(3): 11225-11230.
[13] CHEN M Z Q, HU Y, LI C, et al. Application of semi-active inerter in semi-active suspensions via force tracking[J]. Journal of Vibration and Acoustics, 2016, 138(4): 041014.
[14] ZHANG X L, ZHANG T, NIE J, et al. A semiactive skyhook-inertance control strategy based on continuously adjustable inerter[J]. Shock and Vibration, 2018: 6828621.
[15] HU Y, CHEN M Z Q, SUN Y. Comfort-oriented vehicle suspension design with skyhook inerter configuration[J]. Journal of Sound and Vibration, 2017, 405: 34-47.
[16] HU Y, CHEN M Z Q, XU S, et al. Semiactive inerter and its application in adaptive tuned vibration absorbers[J]. IEEE Transactions on Control Systems Technology, 2017, 25(1): 294-300.
[17] Shen Y J, Yang S P, Xing H J, et al. Analytical research on a single degree-of-freedom semi-active oscillator with time delay[J]. Journal of Vibration and Control, 2013, 19(12): 1895-1905.
[18] WANG Y, Li S, Neild S A et al. Comparison of the dynamic performance of nonlinear one and two degree-of-freedom vibration isolators with quasi-zero stiffness[J]. Nonlinear Dynamics, 2017, 88(1): 635-654.
[19] 刘延柱, 陈立群. 非线性振动[M]. 高等教育出版社, 2001.

PDF(1477 KB)

Accesses

Citation

Detail

段落导航
相关文章

/