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Abstract The vibration characteristics of metal-ceramic functionally graded material stepped cylindrical shells with arbitrary boundary conditions are studied. Firstly, Voigt model and power function volume fraction are used to obtain the properties of metal-ceramic functionally graded materials. Secondly, the artificial spring technology is introduced to simulate the continuous coupling between the shell segments and the boundary conditions at both ends of the shell, and the energy expression of the shell is derived based on the first-order shear deformation theory. Finally, Chebyshev polynomial is selected to construct the admissible function. Based on Rayleigh-Ritz method, the dynamic differential equation of shell under arbitrary boundary conditions is solved. Compared with the existing literature, the effectiveness and convergence of this method are verified. The results show that the natural frequency of shell increases with the exponential increase of volume fraction. The influence of aspect ratio and thickness-diameter ratio on the vibration characteristics of the shell is different, the natural frequency of the shell decreases with the increase of aspect ratio, and increases with the increase of thickness-diameter ratio; Compared with the rotating spring, the stiffness of the translational spring has a significant influence on the vibration characteristics of the shell.
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Received: 12 March 2024
Published: 02 July 2024
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2024, Vol. 45 
