Nonlinear vibration isolation design and dynamic study of circular ring

被引:0
|
作者
Gu D.-H. [1 ,3 ]
Lu Z.-Q. [1 ,2 ,3 ]
Ding H. [1 ,2 ,3 ]
Chen L.-Q. [1 ,2 ,3 ]
机构
[1] Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
[2] Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai
[3] School of Mechanics and Engineering Science, Shanghai University, Shanghai
基金
欧盟地平线“2020”;
关键词
Displace ment transmissibility; Nonlinear damping; Nonlinear stiffness; Nonlinear vibration; Vibration isolation;
D O I
10.16385/j.cnki.issn.1004-4523.2021.06.014
中图分类号
学科分类号
摘要
Nonlinear relation between force and deformation via specific shape ring is a shortcut way for implementation of quasi-zero stiffness vibration isolation. In this paper, buckling deformation of the circular ring is adopted to achieve the quasi-zero stiffness. The novelty of the design is introduction of horizontal stiffness and horizontal damping. The expressions for frequency response and displacement transmissibility of the circular ring design are given based on the method of direct separation of motion, the numerical validation of the analytical results is also carried out. The developed vibration isolation approach is successfully implemented to change the path of vibration transmission in order to attenuate the transmitted motion. The results show that the horizontal stiffness could extend the isolation range to lower frequencies, and horizontal damping could reduce the resonance response. The developed circular ring beam vibration isolator reduces the transmissibility around the resonance frequency, and performs better at higher frequencies. © 2021, Editorial Board of Journal of Vibration Engineering. All right reserved.
引用
收藏
页码:1223 / 1229
页数:6
相关论文
共 27 条
  • [1] Ibrahim R A., Recent advances in nonlinear passive vibration isolations‍, Journal of Sound Vibration, 314, 3-5, pp. 371-452, (2008)
  • [2] Rivin E I., Passive Vibration Isolation, (2003)
  • [3] Love A E H., A treatise on the Mathematics Theory of Elasticity, (1944)
  • [4] Wu J K, Huang Y., On the stability of elastic curved bars, Acta Mechanica Sinica, 3, 4, pp. 326-334, (1987)
  • [5] Tse P C, Lai T C, So C K, Et al., Large deflection of elastic composite circular springs under uniaxial compression, International Journal of Nonlinear Mechanics, 29, 5, pp. 781-798, (1994)
  • [6] Wu B, Yu Y, Li Z., Analytical approximations to large post-buckling deformation of elastic rings under uniform hydrostatic pressure, International Journal of Mechanical Sciences, 49, 6, pp. 661-669, (2007)
  • [7] Lacarbonara W, Arena Andrea, Antman Stuart S., Flexural vibrations of nonlinearly elastic circular rings, Meccanica, 50, 3, pp. 689-705, (2015)
  • [8] Xu G H, Huang H W, Zhang Y Q., Vibration of elastic functionally graded thick rings, Shock and Vibration, 2, (2017)
  • [9] Liu X T, Huang X C, Hua H X., On the characteristics of a quasi-zero stiffness isolator using Euler buckled beam as negative stiffness corrector, Journal of Sound and Vibration, 332, 14, pp. 3359-3376, (2013)
  • [10] Huang X C, Liu X T, Sun J Y, Et al., Vibration isolation characteristics of a nonlinear isolator using Euler buckled beam as negative stiffness corrector: A theoretical and experimental study, Journal of Sound and Vibration, 333, 4, pp. 1132-1148, (2014)