Study on vibration characteristics of high-order modal for a thin cylindrical shell
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国家自然科学基金资助项目(51105187)、辽宁科技大学青年基金资助项目(2014QN13)

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    Abstract:

    The vibration characteristics on a highorder modal of a thin cylindrical shell is studied in this paper by analytical method under different boundary conditions. Firstly, the shell dynamics model is established by Galerkin′s method based on Love′s shell theory under simply supportedsimply supported, clampedclamped and clampedfree boundary conditions. Secondly, the modal characteristics are solved, and the highorder natural frequencies as well as threedimensional mode shapes are obtained. Finally, the results are compared with the data from the related literature and finite element method. The results show that the error values of natural frequencies using analytical method are less than 2% for the shell under simply supported boundary condition at both ends. The natural frequency increases after the first decrease when circumferential wave numbers are small, while it increases gradually when circumferential wave numbers are higher, but the natural frequencies increase significantly when axial halfwave numbers rise. Moreover, the threedimensional modal shapes obtained from the analytical method, related literature and finite element method are coincident.

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History
  • Received:December 04,2014
  • Revised:December 27,2014
  • Adopted:
  • Online: April 11,2016
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