《Free vibration analysis of planar rotating rings by wave propagation》.pdf

Journal of Sound and Vibration 332 (2013) 4979 –4997 Contents lists available at SciVerse ScienceDirect Journal of Sound and Vibration journal homepage: /locate/jsvi Free vibration analysis of planar rotating rings by wave propagation Dishan Huang n, Liang Tang, Rui Cao School of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200072, PR China a r t i c l e i n f o a b s t r a c t Article history: In this paper, a systematic approach for the free vibration analysis of rotating thin rings is Received 12 February 2012 presented by wave propagation. The system considered includes a uniform ring and Received in revised form multiple band discontinuities. Neglecting transverse shear, harmonic wave solutions are 31 March 2013 found for both extensional and inextensional rotating ring models. Frequency spectra and Accepted 16 April 2013 phase diagram are obtained, and the ratio of tangential displacement to radial displace- Handling Editor: S. Ilanko Available online 25 May 2013 ment and cut-off frequencies are determined. Meanwhile, wave reflection and transmis- sion matrices are formulated for cross section area discontinuity condition. These matrices are combined, with the aid of filed transfer matrices, to provide a concise and efficient method for analysing the free vibration problem