APPLICATION OF THE MODIFIED ITERATION METHOD TO NONLINEAR VIBRATION OF CORRUGATED CIRCULAR PLATES

摘要/Abstract

摘要： 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.

关键词: Marangoni convection, non-uniform temperature, magnetic field

Abstract: 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.

Key words: Marangoni convection, non-uniform temperature, magnetic field

李东;刘人怀. APPLICATION OF THE MODIFIED ITERATION METHOD TO NONLINEAR VIBRATION OF CORRUGATED CIRCULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(1): 13-22.

Li Dong;Liu ren-huai. APPLICATION OF THE MODIFIED ITERATION METHOD TO NONLINEAR VIBRATION OF CORRUGATED CIRCULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(1): 13-22.

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