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IssuesArchive of Issues2023-9pp.3360-3379

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W.J. Pan, J. Li, K.S. Kong, W.J. Yang, and P. Nie, "Modeling and Vibration Response Analysis of Cylindrical Shell Considering Three-Layer Composite Materials and Various Thickness Ratio of Middle Layer Using a Non-Iterative Method," Mech. Solids. 58 (9), 3360-3379 (2023)
Year 2023 Volume 58 Number 9 Pages 3360-3379
DOI 10.3103/S002565442360191X
Title Modeling and Vibration Response Analysis of Cylindrical Shell Considering Three-Layer Composite Materials and Various Thickness Ratio of Middle Layer Using a Non-Iterative Method
Author(s) W.J. Pan (School of Mechatronics Engineering, Shenyang Aerospace University, Shenyang, 110136 China;Advanced manufacturing technology research center, Shenyang Aerospace University, Shenyang, 110136 China, panspace@sina.cn)
J. Li (School of Mechatronics Engineering, Shenyang Aerospace University, Shenyang, 110136 China; Advanced manufacturing technology research center, Shenyang Aerospace University, Shenyang, 110136 China)
K.S. Kong (School of Mechatronics Engineering, Shenyang Aerospace University, Shenyang, 110136 China; Advanced manufacturing technology research center, Shenyang Aerospace University, Shenyang, 110136 China)
W.J. Yang (School of Mechatronics Engineering, Shenyang Aerospace University, Shenyang, 110136 China; Advanced manufacturing technology research center, Shenyang Aerospace University, Shenyang, 110136 China)
P. Nie (School of Mechatronics Engineering, Shenyang Aerospace University, Shenyang, 110136 China; Advanced manufacturing technology research center, Shenyang Aerospace University, Shenyang, 110136 China)
Abstract Composite cylindrical shell structure has been widely used in aircraft engine casing components because of its advantages of higher specific strength, larger specific modulus and better environmental adaptability than traditional metal materials. However, the free vibration behavior of thinwalled cylindrical shell structures is complicated and may cause significant vibration fatigue damage, so it is of great significance to study the free vibration characteristics of three-layer structures. Based on the Love’s shell theory, a prediction model of three-layer thin-walled cylindrical shells with various middle layer thickness is established in this paper. In order to improve the efficiency of calculation, the vibration differential equation of three-layer cylindrical shell is established by using the beam function as the axial mode function and the energy method, and is solved by Rayleigh-Ritz method. The vibration characteristics with 9 typical boundary conditions are studied. The effects of thick-diameter ratio, length-diameter ratio, thickness ratio of middle layer and circumferential wave number on the natural frequency of three-layer cylindrical shells are studied. To validate the correctness of the prediction model, comparisons with the frequency parameters and natural frequency values in the published classical literature are made. This study can provide an effective theoretical prediction for the vibration behavior of composite three-layer cylindrical shell structures in aerospace.
Keywords various thickness, composite cylindrical shell, Love’s shell theory, vibration characteristic, Boundary condition
Received 08 October 2023Revised 22 November 2023Accepted 01 December 2023
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