Article ID Journal Published Year Pages File Type
9640672 Journal of Sound and Vibration 2005 10 Pages PDF
Abstract
The h-p version of the finite element method is applied to the vibration of membranes. This is accomplished using a polynomially enriched triangular element. New simple expressions of hierarchical C0 shape functions for triangles are given in terms of the shifted Legendre orthogonal polynomials. The h-p version of the finite element method marries both the concepts of the conventional h-version and the p-version. The accuracy of the solution is sought by simultaneously refining the mesh and increasing the polynomial order in each element. Results of frequency calculations are found for triangular and L-shaped membranes using a number of meshes and polynomial orders. It is shown that the h-p version of the finite element method is always convergent from above and produces a high accuracy with few degrees of freedom.
Related Topics
Physical Sciences and Engineering Engineering Civil and Structural Engineering
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