Traveling wave dynamics analysis of a rotating circular plate in magnetic field

被引：0
|
作者：
Hu Y.-D. [1 ,2 ]
Shi H.-B. [1 ,2 ]
机构：
[1] School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao
[2] Hebei Provincial Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures, Yanshan University, Qinhuangdao
来源：
Zhendong Gongcheng Xuebao/Journal of Vibration Engineering | 2017年 / 30卷 / 01期
关键词：
Conductive circular plate; Magneto-elastic; Rotary motion; Traveling wave dynamics;
D O I：
10.16385/j.cnki.issn.1004-4523.2017.01.003
中图分类号：
学科分类号：
摘要：
The dynamical characteristics of the traveling waves of a conductive rotating circular plate in magnetic fields are investigated. Firstly, the governing vibration equation of a thin circular rotating plate in magnetic field is derived based on Hamilton's principle. Then, the traveling wave dynamical equation is derived through assuming proper mode shape function according to the boundary condition and using Galerkin method. The variation of the vibration frequency of the forward traveling wave and the backward traveling wave, the critical rotational speed and the instability of each mode are then investigated with some examples. The relation curves between the magnetic strength and the vibration frequency as well as the damping of each mode, the relation curve between the thickness of the plate and its vibration frequency as well as the critical speed are also presented. The results show that the traveling wave vibration would be affected significantly by the magnetic field, the speed, the thickness and other system parameters. © 2017, Nanjing Univ. of Aeronautics an Astronautics. All right reserved.
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页码：20 / 27
页数：7
相关论文
共 14 条
  • [1] Lamb H., Southwell R.V., The vibration of a spinning disk, Proceeding of the Royal Society, 99, pp. 272-280, (1921)
  • [2] Southwell R.V., On the free transverse vibration of a uniform circular disk clamped at its center and on the effects of rotation, Proceeding of the Royal Society, 101, pp. 133-153, (1922)
  • [3] Gao Y., Xu B., Huh H., Electromagneto-thermo-mechanical behaviors of conductive circular plate subject to time-dependent magnetic fields, Acta Mechanics, 210, 1-2, pp. 99-116, (2010)
  • [4] Hu Y., Li J., Magneto-elastic combination resonances analysis of current-conducting thin plate, Applied Mathematic and Mechanics (English Edition), 29, 8, pp. 1053-1066, (2008)
  • [5] Hu Y., Li J., The magneto-elastic subharmonic resonances of current-conducting thin plate in magnetic field, Journal of Sound and Vibration, 319, 3-5, pp. 1107-1120, (2009)
  • [6] Hu Y., Zhang J., Magneto-thermo-elastic coupled dynamic equations of axially moving carry current plate in magnetic field, Acta Mechanica Sinica, 45, 5, pp. 792-796, (2013)
  • [7] Allahverdizadeh A., Naei M.H., Nikkhah B.M., Nonlinear free and forced vibration analysis of thin circular functionally graded plates, Journal of Sound and Vibration, 310, 4-5, pp. 966-984, (2008)
  • [8] Chen Y.R., Chen L.W., Vibration and stability of rotating polar orthotropic sandwich annular plates with a viscoelastic core layer, Composite Structures, 78, 1, pp. 45-57, (2007)
  • [9] Tang L., Huang D., Zhu X., The traveling wave solutions of dynamic characteristic of the rotating circle, Chinese Journal of Applied Mechanics, 28, 3, pp. 259-265, (2011)
  • [10] Li L., Wang X., Zhou Y., Analysis on aeroelastic dynamic stability of a rotating sandwich annular plate with viscoelastic core layer, Acta Mechanic Solida Sinica, 34, 4, pp. 325-332, (2013)
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