EFFICIENCY OF VARIOUS INTEGRATION SCHEMES FOR PML SOLUTION OF ELASTICALLY SUPPORTED INFINITE BEAMS

Abstract eng:
The most common tool for the solution of general structural problems is now the finite element method. For infinite domains however there is always the question of how much of the domain should be modeled in order to eliminate the effect of the boundary conditions. Often discretization of sufficient length of the domain will make the solution time consuming if not impossible. Therefore methods have been sought by researchers to alleviate this problem. One of the solution techniques for dynamic problems, that has found popularity in recent years, is the method of perfectly matched layer (PML). In this method the infinite part of the domain is modeled by a layer which is reminiscent of a viscoelastic materials, which causes damping of the returning waves. In this manner the infinite part of the domain is effectively replaced by a finite domain providing for an efficient solution technique. Due to their approximate nature numerical integration schemes, to some extent, have a similar damping effect with different degrees. In this study the dynamic solution of an elastically supported infinite beam is carried out using the PML approach with various integration schemes. The results are compared in order to determine the efficiency of each schemes for the problem on hand.

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