调谐惯容X型减振器
Tuned Inerter X-Shaped Vibration Damper
DOI: 10.12677/ojav.2024.122004, PDF,    国家自然科学基金支持
作者: 王炜杰, 张 振*：沈阳航空航天大学航空宇航学院，辽宁 沈阳
关键词: X型结构；调谐惯容减振器；谐波平衡法；减振；X-Shaped Structure； Tuned Inerter Damper； Harmonic Balance Method； Vibration Reduction
摘要: 工程环境中，振动大多是有害的。为更好地抑制振动，本文将X型结构框架与调谐惯容减振器相结合，提出一种新型调谐惯容X型减振器。基于拉格朗日方程建立单自由度线性振子耦合调谐惯容X型减振器系统的动力学方程。应用谐波平衡法结合伪弧长延伸法求得系统化的幅频响应曲线，并由龙格库塔方法进行了数值验证。通过与传统X型结构减振器对比展示了调谐惯容X型减振器的减振性能。而后讨论了调谐惯容X型减振器的参数对其减振性能的影响。研究结果表明，新型调谐惯容X型减振器有着优异的减振性能。本文的研究可以进一步促进X型结构和惯容器的工程实际应用。
Abstract: In engineering environments, vibration is mostly harmful. For better vibration suppression, a new tuned inerter X-shaped vibration damper is designed, which consists of an X-shaped structural frame and a tuned inerter damper. Based on the Lagrange equations, the dynamical equations of a single-degree-of-freedom linear oscillator coupled with a tuned inertial X-shape damper are established. The amplitude-frequency response curves of the system are obtained by the harmonic balance method combined with the pseudo arc-length extension method. And the results are verified numerically by the Runge Kutta method. The vibration reduction performance of the tuned inerter X-shaped vibration damper is demonstrated by comparing it with a traditional X-shaped structural vibration damper. And then the effects of the parameters of the tuned inerter X-shaped vibration damper on its vibration reduction performance are discussed. The results show the tuned inerter X-shaped vibration damper has excellent vibration reduction performance. The research in this paper can further promote the engineering applications of X-shaped structure and inerter.
文章引用：王炜杰, 张振. 调谐惯容X型减振器[J]. 声学与振动, 2024, 12(2): 43-52. https://doi.org/10.12677/ojav.2024.122004

参考文献

[1] 刘壮壮, 宝音贺西. 基于非线性单元模型的绳系卫星系统动力学[J]. 动力学与控制学报, 2012, 10(1): 21-26.
[2] Ding, H., Dowell, E.H. and Chen, L. (2018) Transmissibility of Bending Vibration of an Elastic Beam. Journal of Vibration and Acoustics, 140, Article ID: 031007. [Google Scholar] [CrossRef] 
[3] Virgin, L.N. (2000) Numerical Methods for Bifurcation Problems. In: Virgin, L.N., ed., Introduction to Experimental Non-linear Dynamics A Case Study in Mechanical Vibration. Cambridge University Press, Cambridge.
[4] Wei, X. and Mottershead, J.E. (2016) Block-Decoupling Vibration Control Using Eigenstructure Assignment. Mechanical Systems and Signal Processing, 74, 11-28. [Google Scholar] [CrossRef] 
[5] Elias, S. and Matsagar, V. (2017) Research Developments in Vibration Control of Structures Using Passive Tuned Mass Dampers. Annual Reviews in Control, 44, 129-156. [Google Scholar] [CrossRef] 
[6] 牛岩, 石立伟, 郭书祥. 基于刚柔耦合模型的仿生鸭机器人运动分析[J]. 动力学与控制学报, 2023, 21(12): 89-95.
[7] Dai, H., Jing, X., Wang, Y., Yue, X. and Yuan, J. (2018) Post-capture Vibration Suppression of Spacecraft via a Bio-Inspired Isolation System. Mechanical Systems and Signal Processing, 105, 214-240. [Google Scholar] [CrossRef] 
[8] Feng, X., Jing, X., Xu, Z. and Guo, Y. (2019) Bio-inspired Anti-Vibration with Nonlinear Inertia Coupling. Mechanical Systems and Signal Processing, 124, 562-595. [Google Scholar] [CrossRef] 
[9] Wei, C. and Jing, X. (2017) Vibrational Energy Harvesting by Exploring Structural Benefits and Nonlinear Characteristics. Communications in Nonlinear Science and Numerical Simulation, 48, 288-306. [Google Scholar] [CrossRef] 
[10] Leng, D., Feng, W., Ning, D. and Liu, G. (2022) Analysis and Design of a Semi-Active X-Structured Vibration Isolator with Magnetorheological Elastomers. Mechanical Systems and Signal Processing, 181, 109492. [Google Scholar] [CrossRef] 
[11] Smith, M.C. (2002) Synthesis of Mechanical Networks: The Inerter. Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, NV, USA, 10-13 December 2002. [Google Scholar] [CrossRef] 
[12] Chen, M., Papageorgiou, C., Scheibe, F., Wang, F. and Smith, M. (2009) The Missing Mechanical Circuit Element. IEEE Circuits and Systems Magazine, 9, 10-26. [Google Scholar] [CrossRef] 
[13] Lazar, I.F., Neild, S.A. and Wagg, D.J. (2016) Vibration Suppression of Cables Using Tuned Inerter Dampers. Engineering Structures, 122, 62-71. [Google Scholar] [CrossRef] 
[14] Gonzalez-Buelga, A., Lazar, I.F., Jiang, J.Z., Neild, S.A. and Inman, D.J. (2016) Assessing the Effect of Nonlinearities on the Performance of a Tuned Inerter Damper. Structural Control and Health Monitoring, 24, Article No. e1879. [Google Scholar] [CrossRef] 
[15] Zhang, R., Zhao, Z. and Dai, K. (2019) Seismic Response Mitigation of a Wind Turbine Tower Using a Tuned Parallel Inerter Mass System. Engineering Structures, 180, 29-39. [Google Scholar] [CrossRef] 
[16] Pan, C., Zhang, R., Luo, H., Li, C. and Shen, H. (2017) Demand-Based Optimal Design of Oscillator with Parallel-Layout Viscous Inerter Damper. Structural Control and Health Monitoring, 25, Article No. e2051. [Google Scholar] [CrossRef] 

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