Semi-analytical dynamic modeling and coupled vibration analysis of bolted cylindrical shell-flange-annular plate structures
摘要
Bolted cylindrical shell-flange-annular plate structures (BSFPSs) are widely encountered in aero-engine rotor systems, and accurate and efficient modeling of bolted flange joints is essential for reliable prediction ofvibration characteristics. However, existing studies have mainly focused on shell-plate coupled structures, while the influences of flanges and bolted connections at the joints have not been effectively considered. In this work, the BSFPS is investigated, and a general semi-analytical modeling approach is proposed to accurately analyze the structural characteristics of the flange as well as the effects of bolted connections. Based on the first-order shear deformation theory, the energy expressions of the flange, cylindrical shell, and annular plate are derived. Surface springs are introduced at the flange-annular plate interface to simulate the actual bolted connection conditions, the linear spring techniques are employed to realize the fixed connection between the flange and shell. Subsequently, the dynamic model of the BSFPS is established using Lagrange’s equations. The accuracy of the proposed model in predicting the dynamic characteristics of both individual components and the coupled structure is thoroughly validated through comparisons with results available in literature, FEA, and experimental tests. Finally, the effects of flange parameters on the vibration characteristics are systematically investigated. The results indicate that variations in flange parameters have a significant influence on the coupled vibration behavior, leading to modal coupling phenomena, frequency veering, and gradual mode shape exchange in BSFPSs.