Study on theoretical modeling and vibration performance of an assembled cylindrical shell-plate structure with whirl motion

Hub-blade rotor structures are widely applied in many spinning machines, such as aeroengine, gas-turbine and so on. In theory, the hub and blade can be modeled by elastic cylindrical shell and plate, respectively. This paper firstly presented an investigation on the coupled modeling and vibration behaviors of a spinning assembled cylindrical shell-plate structure. According to the Donnell shell theory and the Kirchhoff plate theory, the coupled governing equations of the assembled cylindrical shell-plate structure are derived by employing the Lagrange's equation and considering the displacement continuity condition. Then, the method of hypothesis modes is adopted to obtain the free vibration results of the assembled cylindrical shell-plate structure. Moreover, the modeling and vibration analysis in this paper are verified by the finite element method. Special attention is paid to the effects of structural parameters, including plate length-to-thickness ratio, plate width-to-thickness ratio, plate position, cylindrical shell length-to-thickness ratio and cylindrical shell radius-to-thickness ratio on the traveling wave frequencies of the assembled cylindrical shell-plate structure. (C) 2022 Elsevier Inc. All rights reserved.