Mobility power flow analysis of vibration isolation system with a circular cylindrical shell foundation

被引:1
作者
Wang, Xiaole [1 ,2 ]
Sun, Lingling [1 ,2 ]
Gao, Yang [1 ,2 ]
Yang, Mingyue [1 ,2 ]
机构
[1] School of Mechanical Engineering, Shandong University, Jinan
[2] Key Laboratory of High-efficiency and Clean Mechanical Manufacture of Ministry of Education, Shandong University, Jinan
来源
Jixie Gongcheng Xuebao/Journal of Mechanical Engineering | 2015年 / 51卷 / 11期
关键词
Circular cylindrical shell; Mobility; Power flow; Standing waves; Vibration isolation;
D O I
10.3901/JME.2015.11.048
中图分类号
学科分类号
摘要
In order to deal with the vibration problem about machinery installed in a cylinder, the analytical model for a single-stage passive isolation system which consists of complex excitations, multiple elastic mounts and a circular cylindrical shell foundation is established. Based on classical thin shell theories and modal superposition principle, the mobility functions of a cylindrical shell with both ends shear diaphragms supported are derived. In these expressions, the responses of odd and even modes are taken into account together. The mobility matrix is used to characterize the relationship between different forms of forces and speed responses. Wave effects in elastic mounts are considered also, and the mobility method is applied to derive the power flow transfer equations of the overall system. It is found that the standing longitudinal and flexural waves of the mounts induced by the vertical force, transverse force and moment excitations have obvious effects on the power transmission at high frequencies. Moment excitation has an important effect on the transmission of power into the flexible cylinder. It necessarily suggests that the radial flexural vibration component plays a dominant role in the power transmission. This proposed approach is provided with modular scalability and can provide a theoretical guidance for the structural parameter optimization and integrated passive and active control strategies. ©2015 Journal of Mechanical Engineering.
引用
收藏
页码:48 / 55
页数:7
相关论文
共 16 条
  • [1] Xiong Y., A new modeling method for machine- foundation coupling system and its application to the control of power flow, Chinese Journal of Mechanical Engineering, 12, 2, pp. 123-129, (1999)
  • [2] Xiao B., Li B., Xia C., Power flow method used to vibration transmission for two-stage vibration isolation system, Chinese Journal of Mechanical Engineering, 47, 5, pp. 106-113, (2011)
  • [3] Pan J., Pan J., Hansen C.H., Total power flow from a vibrating rigid body to a thin panel through multiple elastic mounts, Journal of the Acoustical Society of America, 92, 2, pp. 895-907, (1992)
  • [4] Gardonio P., Elliot S.J., Pinnington R.J., Active isolation of structural vibration on a multiple-degree- of-freedom system, Part I: The dynamics of the system, Journal of Sound and Vibration, 207, 1, pp. 61-93, (1997)
  • [5] Niu J., Song K., Zhao G., Research on vibration isolation of an active plate-like floating raft system, Chinese Journal of Mechanical Engineering, 40, 5, pp. 67-71, (2004)
  • [6] Sun L., Song K., Transmission matrix method for multi-dimensional vibration analysis of complex mechanical systems, Chinese Journal of Mechanical Engineering, 41, 4, pp. 38-43, (2005)
  • [7] Sun L., Sun W., Song K., Et al., Effectiveness of a passive-active vibration isolation system with actuator constraints, Chinese Journal of Mechanical Engineering, 27, 3, pp. 567-574, (2014)
  • [8] Howard C.Q., Hansen C.H., Pan J., Power transmission from a vibrating body to a circular cylindrical shell through passive and active isolators, Journal of the Acoustical Society of America, 101, 3, pp. 1479-1497, (1997)
  • [9] Liu X., Jin G., Wang Y., Et al., Active control of a machine suspension system supported on a cylindrical shell, Journal of Computational Acoustics, 21, 3, (2013)
  • [10] Li W.L., Daniels M., Vibrational power transmission from a machine to its supporting cylindrical shell, Journal of Sound Vibration, 257, 2, pp. 283-299, (2002)