Stability and Free Vibration Analyses of Rectangular Stiffened Plates Using the FSDT Mesh-Free Method

摘要

This paper proposes a mesh-free method for free vibration and stability analyses of stiffened plates incorporating the transverse shear using the first-order shear deformation theory (FSDT). A plate stiffened by ribs can achieve greater strength with relatively less material, which improves the strength/weight ratio and makes the structure cost-efficient. Earlier researchers simulated stiffened plates with grillage or orthotropic models. However, these models did not achieve satisfying results in solving generalized stiffened plate problems. Subsequent researchers tended to regard the plate and the stiffener separately and then combine them by employing displacement compatible conditions. Several example problems are computed using the mesh-free method to show its accuracy and convergence. The results demonstrate good agreement with the existing solutions given by other researchers and ANSYS commercial software. The influence of support size and the order of the complete basis functions on numerical accuracy are also investigated.