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Free vibration analysis of cylindrical panels with spiral cross section

Taraghi Osguei, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijmecsci.2017.07.044
  3. Abstract:
  4. In this paper, free vibration of open noncircular cylinders with spiral cross section are studied under arbitrary boundary conditions. For deriving the strain energy function, Kirchhoff-Love hypotheses are employed. To obtain the solutions, Rayleigh-Ritz technique is implemented by selecting Chebyshev orthogonal polynomials of first kind as admissible displacement functions in three directions. Convergence of the proposed formulation is verified for spiral cylindrical panel and the results are compared with those of ABAQUS. Parametric study is undertaken to highlight the effect of inner radius, separation distance, subtended angle, thickness, and length of the spiral cylinders on the free vibration characteristics. Results obtained in this research are the first step toward modeling spiral cylinders and can be used for comparison in future studies. Finally, the design strategy for the spiral cylinders with specific vibration characteristics is presented. The results imply that spiral cylinder with specific vibration characteristics can be designed using equivalent open circular cylinder. © 2017 Elsevier Ltd
  5. Keywords:
  6. Noncircular cylinder ; Rayleigh-Ritz technique ; Thin shell ; Circular cylinders ; Cylinders (shapes) ; Orthogonal functions ; Polynomials ; Strain energy ; Free vibration ; Non-circular ; Rayleigh-ritz ; Spiral cross section ; Thin shells ; Vibration analysis
  7. Source: International Journal of Mechanical Sciences ; Volume 133 , 2017 , Pages 376-386 ; 00207403 (ISSN)
  8. URL: https://www.sciencedirect.com/science/article/pii/S0020740316308517