Concepts and Applications of Finite Element Analysis
Concepts and Applications of Finite Element Analysis
Static and dynamic analysis of 2D and 3D elastic solids using the modified FGFEM
Finite Elements in Analysis and Design
Finite Elements in Analysis and Design
Topology design of three-dimensional continuum structures using isosurfaces
Advances in Engineering Software
Finite Elements in Analysis and Design
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This paper details the development of the fixed grid FEA (FGFEA) method to the solution of eigenvalue (natural frequency and buckling) problems, using a 4 node 20 degree of freedom shell element. The formulation of the FG element stiffness, buckling and natural frequency equations is presented. The first natural frequency and buckling load are determined for the simply supported plate with a central circular void. The void is then offset to three further locations to asses the applicability of FGFEA eigenvalue analysis at reduced symmetry. A correlation trend is formed by comparison with traditional FEA results at nine increasingly refined mesh densities for each example. In addition to this, a relationship between the FGFEA error and the boundary element intersection angle with the void is formed.