Li Dong, Liu Ren-huai. Application of the Modified Iteration Method to Nonlinear Vibration of Corrugated Circular Plates[J]. Applied Mathematics and Mechanics, 1990, 11(1): 13-21.
Citation: Li Dong, Liu Ren-huai. Application of the Modified Iteration Method to Nonlinear Vibration of Corrugated Circular Plates[J]. Applied Mathematics and Mechanics, 1990, 11(1): 13-21.

Application of the Modified Iteration Method to Nonlinear Vibration of Corrugated Circular Plates

  • Received Date: 1988-10-25
  • Publish Date: 1990-01-15
  • In this paper, the modified iteration method is successfully exended to investigate the nonlinear free vibration of corrugated circular plates with full corrugations. The analytical relation for the amplitude-frequency response of corrugated circular plates is obtained and discussions on the influences of geometrical parameters on vibration behaviours of corrugated circular plates are made. The present results arc practically important in the design of elastic elements in precision instruments.
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