Abstract

A new numerical technique using the global local finite element method (GLFEM) has been proposed for analyzing a gear subjected to a single concentrated load. The GLFEM is a kind of deviational technique which combines the conventional finite element solutions and the analytical solution like Kelvin's one. One of the most interesting features of this method is considerable reduction in the data required in the modeling process in comparison to that based only on conventional finite elements. Clearly, the nature of the solution and the degree of approximation depend on the characteristics of the element equations. In this study, although there are many ways of formulation, the deviation technique and hybrid method combining the domain type and boundary type solutions are especially used for formulating the properties of elements. Then the GLFEM formulated in this study is applied to the gear tooth stress analysis to show the validity of this technique.

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