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The dynamic stiffness matrix of the finite annular plate element

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Abstract

The dynamic deformation of harmonic vibration is used as the shape functions of the finite annular plate element, and some 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 converage 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 are separately treated. Thus some terse and complete results are obtained as the foundation of structural characteristic analysis and dynamic response computation.

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References

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Authors and Affiliations

  1. Nanjing Aeronautical Institute, Nanjing

    Zhang Yi-song & Gao De-ping

  2. Nanjing Aerchitectural and Civil Engineering Institute, Nanjing

    Wu Xiao-ping

Authors
  1. Zhang Yi-song
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  2. Gao De-ping
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  3. Wu Xiao-ping
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Communicated by Chien Wei-zang

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Yi-song, Z., De-ping, G. & Xiao-ping, W. The dynamic stiffness matrix of the finite annular plate element. Appl Math Mech 10, 1151–1162 (1989). https://doi.org/10.1007/BF02016303

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  • DOI: https://doi.org/10.1007/BF02016303

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