Free vibration analysis of cylindrical panels with spiral cross section

摘要

Highlights?New formulation for vibration behavior of spiral cylinders is proposed.?A general procedure is applied to analyze the effect of boundary conditions.?Effect of separation distance in spiral cylinders on natural frequency is studied.?New results on vibration characteristics of spiral cylinders are presented.?Based on circular cylinders, a new technique is developed for spiral cylinders design.AbstractIn 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.Graphical abstractDisplay Omitted]]>