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Solutions to equations of vibrations of spherical and cylindrical shells

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Abstract

The governing equations of the free vibrations of spherical and cylindrical shells with a regular singularity, are solved by Frobenius Series Method in the form of matrix. Considering the relationship of the roots of the indicial equation, we get some various expressions of solutions according to different cases. This work lays a foundation of solving certain elastic problems by analytical method.

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References

  1. Mirsky, I., Axisymmetric vibrations of orthotropic cylinders,Journal of the Acoustical Society of America,36 (1964), 2106–2112.

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  2. Cohen, H. and A. H. Shan, Free vibrations of a spherically isotropic hollow sphere,Acustica,26 (1972), 329–333.

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Authors and Affiliations

  1. Zhejiang University, Hangzhou

    Ding Hao-jiang & Chen Wei-qiu

  2. Peking Institute of Structure & Environment Engineering, Beijing

    Liu Zhong

Authors
  1. Ding Hao-jiang
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  2. Chen Wei-qiu
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  3. Liu Zhong
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Project supported by the National Natural Science Foundation of China

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Hao-jiang, D., Wei-qiu, C. & Zhong, L. Solutions to equations of vibrations of spherical and cylindrical shells. Appl Math Mech 16, 1–15 (1995). https://doi.org/10.1007/BF02453770

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  • DOI: https://doi.org/10.1007/BF02453770

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