Vibration characteristics of orthotropic circular cylindrical shells based on wave propagation approach and multi-variate analysis

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (7) : 227-232.

WANG Zhiqiang , LI Xuebin , HUANG Lihua

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Abstract

Free vibration of orthotropic circular cylindrical shells was studied based on Flügge classical thin shell theory and the wave propagation approach. The shells’ boundary conditions were simplified using those of beams. The free vibration problem of the shells was converted into a 6-order algebraic equation for natural frequencies to be solved. Through parametrically solving the solution space for free vibration of orthotropic cylindrical shells was obtained. The multivariate statistical method was used to analyze effects of geometric parameters and material feature parameters of the shells on their natural frequencies, and correlations among these parameters and natural frequencies. ANOVA was used to discuss influence levels of these parameters on natural frequencies. A knowledge and data visualization approach named Self-Organizing Mapping (SOM) was adopted to study features of the solution space. A numerical example was presented here. The study provided a general method for further studying vibration characteristics of orthotropic circular cylindrical shells with complicated boundary conditions and external loads.

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WANG Zhiqiang,LI Xuebin,HUANG Lihua . Vibration characteristics of orthotropic circular cylindrical shells based on wave propagation approach and multi-variate analysis[J]. Journal of Vibration and Shock, 2018, 37(7): 227-232

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