Free vibration analysis for cylindrical shells with variable thickness based on precise transfer matrix method

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (3) : 134-141.

JIANG Chenban1, WANG Xianzhong2,3, ZUO Yingying2,3

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Abstract

Combining the precise integration and the transfer matrix method, free vibration of a cylindrical shell with variable thickness was calculated and analyzed.Based on basic equations of cylinder shells, first order homogeneous partial differential equations for a cylinder shell with variable thickness’s displacement and internal force vectors were derived to solve their field transfer matrices using the precise integration.The cylinder shell’s total transfer equation was assembled with the field transfer matrices obtained with precise integration.According to boundary conditions, natural frequencies of the cylindrical shell with variable thickness were calculated by solving determinant of coefficient matrix of the total transfer equation.The calculation results using the proposed method were compared with those using the finite element method to verify the correctness and effectiveness of the proposed method.Meanwhile, effect laws of boundary condition, thickness varying form, thickness variation coefficient and ratio of the cylinder shell’s length to diameter on its free vibration were explored.

Key words

precise integration / transfer matrix method / cylindrical shells with variable thickness / free vibration

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JIANG Chenban1, WANG Xianzhong2,3, ZUO Yingying2,3. Free vibration analysis for cylindrical shells with variable thickness based on precise transfer matrix method[J]. Journal of Vibration and Shock, 2020, 39(3): 134-141

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