Applied Mathematics and Mechanics

, Volume 9, Issue 12, pp 1145–1151

# Space variable transform method for free vibration analysis of thick cylindrical shell with arbitrary boundary conditions

• Ni Hai-ying
• Weng Zhi-yuan
Article

## Abstract

In this paper, a general analytical method-space variable transform method is presented for solving free vibration problems of thick cylindrical shell with arbitrary boundary conditions. Free vibration characteristics of cantilever thick cylindrical shell are evaluated by the presented method, and the numerical results are compared with the corresponding results of thin shell theory and experimental values. Theoretical analysis and calculating results show that the method presented in this paper has good convergence and accuracy and can be extended to analyze free vibration of beams. plates and shells.

## Keywords

Mathematical Modeling Theoretical Analysis Industrial Mathematic Cylindrical Shell Free Vibration
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## References

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© Shanghai University of Technology (SUT) 1988

## Authors and Affiliations

• Ni Hai-ying
• 1
• Weng Zhi-yuan
• 1
1. 1.Tongji UniversityShanghai