Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (6): 583-593.

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LARGE AMPLITUDE VIBRATION OF THIN ANNULAR PLATES

Li Dong   

  1. Shanghai University of Technology; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
  • Received:1990-04-10 Online:1991-06-18 Published:1991-06-18

Abstract: A pure analytic solution of the axisymmetric large amplitude free vibration of thin annular plates is presented in this paper. By using the modified iteration method, we derive an analytic relation for the amplitudes vs. frequencies of vibrations. The present paper shows the great potentiality of this method to tackle the large amplitude vibration problems of plates.

Key words: annular plate, large amplitude, vibration

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