Vibration and buckling analysis of ribbed orthotropic cantilever Mindlin plates using finite integral transform method
摘要
Orthotropic materials feature high specific strength and specific stiffness, and are therefore widely used in ribbed cantilever structures in aerospace engineering and other fields. Since shear deformation has a greater effect on orthotropic plates, the analytical solutions for solving vibration and buckling of ribbed orthotropic cantilever plates are presented in this paper based on the theories of Mindlin thick plate and Timoshenko thick beam using finite integral transform method. The analytical solutions for vibrations and buckling of ribbed orthotropic cantilever plates are verified by finite element analysis method. The buckling characteristics of (ribbed) orthotropic and isotropic cantilever plates under various in-plane loadings are analyzed. Additionally, the dynamic model is further verified by free and forced vibration experiments. The vibration behavior of orthotropic cantilever plates is analyzed, and the effect of rib on plate vibration is also investigated. The analytical model developed in this paper can provide theoretical guidance and judgment basis for vibration analysis and stability prediction in large-scale engineering projects involving ribbed orthotropic cantilever plates.