Free vibration analysis of orthtropic thin cylindrical shells with variable thickness by using spline functions

Abstract

In this study, vibration behavior of orthotropic cylindrical shells with variable thickness is investigated. Based on linear shell theory and applying energy method and using spline functions, free vibration relations are derived for shell with variable thickness and curvature. Frequency parameter and mode shapes are found after solving the frequency Eigenvalue equation. Effects of variable thickness along axial and circumferential directions of the shell on its frequency parameter are studied and compared against each other. Shell thickness is assumed to be varied in a parabolic profile along both directions. Also, frequency parameters for both circular and parabolic curvatures along circumferential direction are investigated and results are compared together. In addition, effect of variable thickness on the mode shapes is studied.

Free vibration analysis of cylindrical panels with spiral cross section

“…Different boundary conditions and vibration behavior of composite cylinders are other interesting topics for researcher [11][12][13][14]. Meanwhile, similar studies have been carried out on open circular shells [15][16][17][18][19].…”

Large Displacement Static Analysis of Composite Elliptic Panels of Revolution having Variable Thickness and Resting on Winkler-Pasternak Elastic Foundation

“…Many articles were published on dynamic and static behavior of shells of revolution structures. Free vibration studies on these structures includes articles published, although not limited to, by Al-Khatib and Buchanan (2010), Ataabadi et al (2014), Awrejcewicz et al (2013), Tornabene (2011a, b), Tornabene et al (2016), Tornabene et al (2012), Wang et al (2017a, b, c).…”