ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Influence of Embedded Material on Natural Frequencies of Double Segment Rotating Disk

Journal of Applied Nonlinear Dynamics 2(2) (2013) 175--192 | DOI:10.5890/JAND.2013.04.006

Department of Mechanical and Manufacturing Engineering, Tennessee State University, Nashville, TN 37209, USA

Abstract

An analytical method is presented to determine the effect of adding different materials at one of the edges of an annular rotating disk on its in-plane natural frequencies and critical speeds. The proposed analysis is based on the linear in-plane free vibration of a compound disk with material discontinuity, by adopting the two-dimensional plane stress theory. The frequency equation was achieved by satisfying the compatibilities of the displacements and stresses at the interfaces of the different segments. The materials used in each segments of the disk are assumed to be homogenous,elastic, and isotropic. Furthermore, the annular disk is considered to be clamped at the inner side and free at the outer edge with a radius ratio of 0.3, and rotates with a constant angular speed. The variation of non-dimensional natural frequencies in fixed coordinates for different modes and different segment radiuses at the inner or outer side with respect to speed of rotation are computed. Presented results indicated that by adding additional segment, undesirable natural frequencies of the rotating disk can be modified to be within the acceptable range.

References

1.  [1] Bhuta, P.G. and Jones, J.P. (1963), Symmetric planar vibrations of a rotating disk, Journal of the Acoustical Society of America, 35(7), 982-989.
2.  [2] Burdess, J.S., Wren, T., and Fawcett, J.N. (1987), Plane stress vibrations in rotating disks,Proceedings of Institute of Mechanical Engineers, 201, 37-44.
3.  [3] Chen, J.S. and Jhu, J.L. (1996), On the in-plane vibration and stability of a spinning annular disk,Journal of Sound and Vibration, 195(4), 585-593.
4.  [4] Hamidzadeh, H.R. (1998), Linear in-plane vibration of high speed rotating disks, Proceedings of the International Symposium on Impact and Friction of Solids, Structures and Intelligent Machines, Ottawa, Canada.
5.  [5] Hamidzadeh, H.R. and Dehgani, M. (1999), Linearin-plane free vibration of rotating disks,Proceedings of the ASME 17th Biennial Conference on Mechanical Vibration and Noise, DETC 99/VIB-8146.
6.  [6] Hamidzadeh, H.R. (2000), Freevibration of rotating ring - an analytical solution, ASME International Mechanical Engineering Congress and Exposition, DE 108, 9-16.
7.  [7] Hamidzadeh, H.R. and Karim, R. U. (2001), In-plane free vibrations ofthe double - segment compound rotating disk, ASME International Mechanical Engineering Congress and Exposition, DE 111, 169-173.
8.  [8] Hamidzadeh, H.R (2002), In-plane free vibration and stability of rotating annular disks, Journal of Multi-body Dynamics, 216, 371-380.
9.  [9] Deshpande, M. and Mote,C. D. (2003), In-plane vibration of thin disks, The ASME Journal of Vibration and Acoustics , 125, 68-72.