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Free vibrations of a rotating shell made of p joined cones

Sarkheil, S ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijmecsci.2017.02.003
  3. Publisher: Elsevier Ltd , 2017
  4. Abstract:
  5. In this paper, a method has been presented to study the free vibration of a rotating shell consisting of p coupled conical shells. This method considers the Coriolis and centrifugal forces as well as the initial hoop tension resulting from rotation of the shell. Matrix transform and power series methods were employed to solve the equations. The advantage of using the matrix transform approach is that the dimension of the coefficient matrix, which is finally constructed to obtain the natural frequencies of a shell made of p cones, remains 8×8. The obtained results were validated with the help of existing special cases of the studied problem reported in the literature, and by means of FEM software programs. By verifying the presented equations and their solution method, the fundamental natural frequencies of a rotating shell made of two conical shells were obtained for different conditions. Every thin-walled axisymmetric shell can be represented by a number of joined conical shells. So, as a practical example, the presented method was employed to analyze the vibrations of an automobile tire ring as a rotating thin-walled shell with a relatively complex geometry. © 2017 Elsevier Ltd
  6. Keywords:
  7. Forward and backward waves ; Free vibration ; Matrix transform ; Rotating joined conical shell ; Natural frequencies ; Thin walled structures ; Vibration analysis ; Axisymmetric shells ; Centrifugal Forces ; Coefficient matrix ; Conical shell ; Forward-and-backward ; Matrix transforms ; Power series method ; Shells (structures)
  8. Source: International Journal of Mechanical Sciences ; Volume 124-125 , 2017 , Pages 83-94 ; 00207403 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0020740317302941?via%3Dihub