Computational Model Reduction by Using High Order Toroidal Finite Elements for Calculating Disc Springs

Titelangaben

Wehmann, Christoph ; Nützel, Florian ; Rieg, Frank:
Computational Model Reduction by Using High Order Toroidal Finite Elements for Calculating Disc Springs.
In: 4th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. - Dresden , 2011

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Abstract

Calculating disc springs needs to capture geometrical nonlinearities and therefore high computing times result. These computing times depend on the element type that is used. Beside volume elements like tetrahedrons and hexahedrons, shell elements are applicable. Due to the special symmetry of disc springs also toroidal elements can be applied. Toroidal elements reduce computing times by taking the special symmetry into account. Theoretically, the result quality of these elements has to be equal or even more suitable than the result quality of volume elements due to the fact that the integration in tangential direction can be done analytical without any discretization error. In order to ensure this assumption, one topic of the present contribution is to compare calculations by exahedrons to calculations by toroidal elements. Each comparison is based on characteristic curves, which are recorded from single nodes.