天棚半主动惯容隔振器动态特性研究

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (15) : 65-72.

论文

天棚半主动惯容隔振器动态特性研究

唐锋1，王勇1,2，丁虎1,陈立群1

作者信息 +

Dynamic characteristics of skyhook semi-active inerter-based vibration isolator

TANG Feng1, WANG Yong1,2, DING Hu1, CHEN Liqun1

Author information +

文章历史 +

摘要

基于“惯容-弹簧-阻尼”的三元件并联式被动惯容隔振器能进一步拓宽传统线性隔振器的隔振频带，但高频隔振性能显著恶化，为此提出基于天棚惯容控制的半主动惯容隔振器以改善高频隔振性能。天棚惯容控制策略采用基于绝对-相对加速度切换控制来调整半主动惯容器的惯质系数在最大与最小值之间切换，以近似模拟理想天棚惯容器的力学特性。研究天棚半主动惯容隔振器在基础简谐位移激励下的动态特性，通过平均法求解系统的近似解析解，并用数值解进行验证。结果表明与被动惯容隔振器相比，天棚半主动惯容隔振器的绝对位移峰值和传递率峰值更低，隔振频带更宽，高频绝对位移传递率明显降低，具有显著优势。

Abstract

The 3-element parallel passive inerter-based vibration isolator based on “inerter-spring-damping” can further broaden vibration isolation frequency band of traditional linear isolator, but its high-frequency vibration isolation performance deteriorates significantly. Here, a semi-active inerter-based vibration isolator based on the skyhook-inertance control was proposed to improve its high-frequency vibration isolation performance. The skyhook-inertance control strategy used the absolute-relative acceleration switch control to switch the inertance of the semi-active inerter between its maximum and minimum values, and approximately simulate the mechanical property of the ideal skyhook inerter. Dynamic characteristics of the semi-active inerter-based vibration isolator under base harmonic displacement excitation were studied. The average method was used to solve the approximate analytical solution to the system, and it was verified using the numerical solution. The results showed that compared with the passive inerter-based vibration isolator, the semi-active inerter-based vibration isolator has lower absolute displacement peak value, lower transmissibility peak value and wider vibration isolation frequency band; the latter’s high frequency absolute displacement transmissibility drops obviously, it has a significant advantage over the former.

导出引用

唐锋，王勇，丁虎，陈立群. 天棚半主动惯容隔振器动态特性研究[J]. 振动与冲击, 2021, 40(15): 65-72

TANG Feng, WANG Yong, DING Hu, CHEN Liqun. Dynamic characteristics of skyhook semi-active inerter-based vibration isolator[J]. Journal of Vibration and Shock, 2021, 40(15): 65-72

参考文献

［1］CARRELLA A, BRENNAN M J, WATERS T P. Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic［J］. Journal of Sound and Vibration, 2007, 301:678-689.
［2］SMITH M C. Synthesis of mechanical networks: the inerter［J］. IEEE Transactions on Automatic Control, 2002, 47(10): 1648-1662.
［3］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): 95-100.
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): 95-100.
［4］孙晓强, 陈龙, 汪少华，等. 基于惯容器的铁道车辆悬挂性能提升研究［J］. 铁道学报, 2017, 39(2): 32-38.
SUN Xiaoqiang, CHEN Long, WANG Shaohua, et al. Research on performance benefits in railway vehicle suspension employing inerter［J］. Journal of the China Railway Society, 2017, 39(2): 32-38.
［5］陈文韬，封周权，陈政清，等. 基于惯容器的轨道车辆悬挂系统性能研究［J］. 振动与冲击, 2019, 38(23): 171-177.
CHEN Wentao, FENG Zhouquan, CHEN Zhengqing, et al. Performance of track vehicle suspension system based on inerters［J］. Journal of Vibration and Shock, 2019, 38(23): 171-177.
［6］LAZAR I F, NEILD S A, WAGG D J. Using an inerter-based device for structural vibration suppression［J］. Earthquake Engineering and Structural Dynamics, 2014, 43(8): 1129-1147.
［7］莊初立, 五十子幸树, 张永山. 极端地震下惯容器-弹簧-阻尼装置对隔震结构减震效果研究［J］. 振动与冲击, 2019, 38(12): 112-117.
CHONG Cholap, KOHJU Ikago, ZHANG Yongshan. Effectiveness of an inerter-spring-damper device in the seismic response control of an isolated structure under extreme earthquakes［J］. Journal of Vibration and Shock, 2019, 38(12): 112-117.
［8］HU Y L, CHEN M Z Q. Performance evaluation for inerter-based dynamic vibration absorbers［J］. International Journal of Mechanical Sciences, 2015, 99: 297-307.
［9］陈杰, 孙维光, 吴杨俊, 等. 基于惯容负刚度动力吸振器的梁响应最小化［J］. 振动与冲击, 2020, 39(8): 15-22.
CHEN Jie, SUN Weiguang, WU Yangjun, et al. Minimization of beam response using inerter-based dynamic vibration absorber with negative stiffness［J］. Journal of Vibration and Shock, 2020, 39(8): 15-22.
［10］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 Ruochen, MENG Haodong. Dynamic characteristics of an inclined inerter-based vibration isolator with geometrical nonlinearity［J］. Journal of Vibration and Shock, 2018, 37(21): 184-189.
［11］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.
［12］HU Y, CHEN M Z Q, SHE 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.
［13］WANG Y, WANG R C, MENG H D. 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): 398-405.
［14］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.
［15］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.
［16］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, 2018(PT.2): 361-368.
［17］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.
［18］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.
［19］王勇, 汪若尘, 孟浩东, 等.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 Yong, WANG Ruochen, MENG Haodong, et al. 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.
［20］WANG Y, MENG H, ZHANG B, et al. Analytical research on the dynamic performance of semi-active inerter-based vibration isolator with acceleration-velocity-based control strategy［J］. Structural Control and Health Monitoring, 2019, 26(4): e2336.
［21］SWIFT S J, SMITH M C, GLOVER A R, et al. Design and modelling of a fluid inerter［J］. International Journal of Control, 2013, 86(11): 2035-2051.
［22］张舒, 徐鉴. 时滞耦合系统非线性动力学的研究进展［J］. 力学学报, 2017, 49(3): 565-587.
ZHANG Shu, XU Jian. Review on nonlinear dynamics in systems with coupling delays［J］. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(3): 565-587.
［23］徐鉴. 振动控制研究进展综述［J］. 力学季刊, 2015, 36(4): 547-565.
XU Jian. Advances of research on vibration control［J］. Chinese Quarterly of Mechanics, 2015, 36(4): 547-565. 
［24］刘延柱, 陈立群. 非线性振动［M］. 北京：高等教育出版社, 2001.