The Dynamic Stiffness Matrix of the Finite Annular Plate Element

Zhang Yi-song; Gao De-ping; Wu Xiao-ping

Volume 10 Issue 12

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(12): 1089-1099

Zhang Yi-song, Gao De-ping, Wu Xiao-ping. The Dynamic Stiffness Matrix of the Finite Annular Plate Element[J]. Applied Mathematics and Mechanics, 1989, 10(12): 1089-1099.

Citation:

Zhang Yi-song, Gao De-ping, Wu Xiao-ping. The Dynamic Stiffness Matrix of the Finite Annular Plate Element[J]. Applied Mathematics and Mechanics, 1989, 10(12): 1089-1099.

Citation:

Zhang Yi-song, Gao De-ping, Wu Xiao-ping. The Dynamic Stiffness Matrix of the Finite Annular Plate Element[J]. Applied Mathematics and Mechanics, 1989, 10(12): 1089-1099.

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The Dynamic Stiffness Matrix of the Finite Annular Plate Element

1.
Nanjing Aeronautical Institute, Nanjing;
2.
Nanjing Architectural and Civil Engineering Institute, Nanjing

Received Date: 1989-05-17
Publish Date: 1989-12-15

Abstract

Abstract

The dynamic deformation of harmonic vibration is used as the shape functions of the finite annular plate element, and sonic integration difficulties related to the Bessel's functions are solved in this paper. Then the dynamic stiffness matrix of the finite annular plate element is established in closed form and checked by the direct stiffness method. The paper has given wide convcrage for decomposing the dynamic matrix into the power series of frequency square. By utilizing the axial symmetry of annular elements, the modes with different numbers of nodal diameters at s separately treated. Thus some terse and complete results are obtained as the foundation of structural characteristic analysis and dynamic response compulation.

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References(6)

References

[1]	恽伟君等,《振动与冲击手册》,第1卷,国防工业出版社(1988),174-177.
[2]	张益松、高德平、伊立言,旋转圆盘振动的动态有限元法,南京航空学院学报,2(1989),18-30.
[3]	杨弗康,《结构动力学》,人民交通出版社1987),324-337.
[4]	林佳镶,张阿舟,具有轴向力的连续质量梁元素,南京航空学院学报,2 (1984)1-8
[5]	Borri,M.and P.Mantegazza,Efficient solution of quadratic eigen problem arising in dynamic analysis of structures,Comput.Meth.Appl.Meth.Eng.,1(1977),19-31.
[6]	王连祥、方德植等,《数学手册》,人民教育出版社(1979),627-639.

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