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

Xu Yin-ge; Zhang Yi-song

Volume 9 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 1988 > 9(8): 703-712

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

[1]	Gupta,K.K.,On a finite dynamic element method for free vibration analysis of structures,Comput.Meth.Appl.Math.Eng.,9(1976),105-120.
[2]	Kirkhope,J.and G.J.Wilson,Vibration analysis of axial flow turbine disks using finite elements,ASME paper 75-DET-80,Design Engineering Technical Conference,Washington,Sept.(1975).
[3]	П.В.赫洛宁,《航空发动机振动理论和计算》,A D,731351,晏炳堂,谢竹虚等译(1979,10).
[4]	Gupta,K.K.,Solution of quadratic matrix equations for free vibration analysis of structures,Int.J.Num.Meth.Eng.,6(1973),129-135.
[5]	Salama,A.M.,Finite element dynamic analysis of blade packets and bladed disc assumbleies,Ph.D.Thesis,University of Southampton,Oct.(1976).
[6]	高德平、张益松,回转周期结构的振动特性分析,南京航空学院学报,4(1986),7-16.

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