Performance of mesh-distortion tolerant finite element in free vibration and buckling analysis

Abstract

In classical finite element method (FEM), mesh distortion is a commonly faced problem. Commercially available FE software packages like ANSYS use classical isoparametric formulation to generate element matrices and have facilities to generate meshes automatically. When the mesh is automatically generated for complex geometric shapes, it is inevitable to avoid mesh distortions. Mesh distortions cause error in the FEM solutions. In order to handle the mesh distortion problem, a element called parametric-metric element (labeled here as PM element) and the classical isoparametric element (labeled here as PP element) are studied in this project for various mesh distortions.