A new vibration approach of an elastic oval cylindrical shell with varying circumferential thickness

作者：Ahmed Mousa Khalifa^*

来源：Journal of Vibration and Control, 2012, 18(1): 117-131.

DOI：10.1177/1077546311407234

• Frequencies
• orthotropic oval shells
• symmetric and anti-symmetric type-modes
• transfer matrix approach
• variable thickness
• vibration behavior

A new vibration behavior is presented for an elastic oval cylindrical shell having circumferentially variable thickness with complex radius of curvature of an isotropic and orthotropic material. Based on the framework of the Flugge's shell theory, the transfer matrix approach and the Romberg integration method, the governing equations of motion that have variable coefficients are formulated and solved. The analysis is formulated to overcome the mathematical difficulties related to mode coupling which comes from variable curvature and thickness of shell. The vibration equations of the shell are reduced to eight first-order differential equations in the circumferential coordinate, and by using the transfer matrix of the shell, these equations can be written in a matrix differential equation. The proposed model is adopted to get the vibration frequencies and the corresponding mode shapes for symmetric and anti-symmetric modes of vibration. The sensitivity of the frequency parameters and the bending deformations to the shell geometry, ovality parameter, thickness ratio, and orthotropic parameters corresponding to different types of vibration modes of shells is investigated.

• 出版日期2012-1