The Finite Dynamic Annular Element for the Vibration Analysis of Variable Thickness Discs

Xu Yin-ge; Zhang Yi-song

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Xu Yin-ge, Zhang Yi-song. The Finite Dynamic Annular Element for the Vibration Analysis of Variable Thickness Discs[J]. Applied Mathematics and Mechanics, 1988, 9(8): 703-712.

Citation:

Xu Yin-ge, Zhang Yi-song. The Finite Dynamic Annular Element for the Vibration Analysis of Variable Thickness Discs[J]. Applied Mathematics and Mechanics, 1988, 9(8): 703-712.

Citation:

Xu Yin-ge, Zhang Yi-song. The Finite Dynamic Annular Element for the Vibration Analysis of Variable Thickness Discs[J]. Applied Mathematics and Mechanics, 1988, 9(8): 703-712.

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The Finite Dynamic Annular Element for the Vibration Analysis of Variable Thickness Discs

Xu Yin-ge¹,
Zhang Yi-song²

1.
Beijing Jiaotong Manager College, Beijing;
2.
Nanjing Aeronautical Institute, Nanjing

Received Date: 1988-10-01
Publish Date: 1988-08-15

Abstract

Abstract

According to the gyro-periodicity of dynamic displacements,the two-dimensional problems of circular plates with variable thickness are simplified into one-dimensional ones in this paper.Taking the expanded form of frequency power series of the dynamic displacement functions as the dynamic shape functions of the finite annular element,the mass and stiffness matrices as well as their one-order revised matrices are given succinctly.The dynamic method is used to analyse the vibration characteristics of a bladed disc assembly and is compared with conventional finite element method and experiment,and is proved to be superior to other numerical methods.

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References(6)

References

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