DYNAMIC STABILITY OF A CANTILEVER SHAFT-DISK SYSTEM

被引:40
作者
CHEN, LW
KU, DM
机构
[1] Technion Israel Institute of Technology, National Cheng Kung University, Tainan
来源
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1992年 / 114卷 / 03期
关键词
D O I
10.1115/1.2930265
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The dynamic stability behavior of a cantilever shaft-disk system subjected to axial periodic forces varying with time is studied by the finite element method. The equations of motion for such a system are formulated using deformation shape functions developed from Timoshenko beam theory. The effects of translational and rotatory inertia, gyroscopic moment, bending and shear deformation are included in the mathematical model. Numerical results show that the effect of the gyroscopic term is to shift the boundaries of the regions of dynamic instability outwardly ard, therefore, the sizes of these regions are enlarged as the rotational speed increases.
引用
收藏
页码:326 / 329
页数:4
相关论文
共 14 条
  • [1] Archer J.S., Consistent Matrix Formulations for Structural Analysis Using Finite-Element Techniques, AIAA Journal, 3, pp. 1910-1918, (1965)
  • [2] Bolotin V.V., The Dynamic Stability of Elastic Systems, (1964)
  • [3] Loewy R.G., Piarulli V.J., Dynamics of Rotating Shafts, (1969)
  • [4] Lund J.W., Orcutt F.K., Calculations and Experiments on the Unbalance Response of a Flexible Rotor, ASME, Journal of Engineering for Industry, 89, pp. 785-796, (1967)
  • [5] Mykelstad N.O., A New Method of Calculating Uncoupled Bending Vibration of Airplane Wings and Other Types of Beams, Journal of the Aeronautical Sciences, 11, pp. 153-162, (1944)
  • [6] Nelson H.D., McVaugh J.M., The Dynamics of Rotor-Bearing Systems Using Finite Elements, ASME, Journal of Engineering for Industry, 98, pp. 593-600, (1976)
  • [7] Nelson H.D., A Finite Rotating Shaft Element Using Timoshenko Beam Theory, ASME, Journal of Mechanical Design, 102, pp. 793-803, (1980)
  • [8] Ozgiiven H.N., Ozkan Z.L., Whirl Speeds and Unbalance Response of Multibearing Rotors Using Finite Elements, ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, 106, (1984)
  • [9] Prohl M.A., A General Method for Calculating Critical Speeds of Flexible Rotors, ASME, Journal of Applied Mechanics, 12, pp. 142-148, (1945)
  • [10] Rieger N.F., Rotor-Bearing Dynamics-State-of-the-Art, Mechanism and Machine Theory, 12, pp. 261-270, (1977)