Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (12): 1151-1162.

• 论文 • 上一篇    下一篇

THE DYNAMIC STIFFNESS MATRIX OF THE FINITE ANNULAR PLATE ELEMENT

张益松1, 高德平1, 吴晓萍2   

  1. 1. Nanjing Aeronautical Institute, Nanjing;
    2. Nanjing Aercllilectural and Civil Engineering Institute, Nanjing
  • 收稿日期:1989-05-17 出版日期:1989-12-18 发布日期:1989-12-18

THE DYNAMIC STIFFNESS MATRIX OF THE FINITE ANNULAR PLATE ELEMENT

Zhang Yi-song1, Gao De-ping1, Wu Xiao-ping2   

  1. 1. Nanjing Aeronautical Institute, Nanjing;
    2. Nanjing Aercllilectural and Civil Engineering Institute, Nanjing
  • Received:1989-05-17 Online:1989-12-18 Published:1989-12-18

摘要: 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.

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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