This paper presents results of numerical analysis of rolling process of internal toothing. Numerical simulations of the rolling process were made basing on finite element method (FEM), using commercial software DEFORM-3D in version 10.0. Geometrical models applied in FEM calculations were discussed in details. Calculations were made in three dimensional state of strain with consideration of thermal phenomena. During research works, geometrical parameters of obtained parts were analyzed, distributions of effective strain, effective stress and temperatures as well as the process force parameters were given. Next, the influence of particular process parameters on tools durability and the possibility of presence of phenomena disturbing the process stability were discussed. Described results of numerical research confirm the possibility of forming of internal toothing by means of rolling methods and constitute the introduction for a more complex analysis of metal forming processes of internal toothing.Keywords: toothed wheels, internal toothing, rolling, FEM
IntroductionToothed wheels, which mainly constitute elements of drive transmission, are widely applied in machines design [1][2][3][4][5]. Torque transmission takes place in the result of two co-operating wheels meshing and teeth side surfaces interaction. Because of that, the toothed wheels toothing undergoes large loads, often much bigger than loads of other elements. Hence, durability and resistance of the toothed wheels toothing have a crucial influence on machines and devices durability and, in many cases, these elements durability decides about the people safety [6]. Hence, the requirements are very high. The improvement of toothed wheels resistance can be realized in a few ways, for example by application of better materials and appropriate thermomechanical treatment. However, the easiest and cheapest way is appropriate forming of the product internal structure due to the application of semi-finished metal forming. At present, a widely applied way of toothed wheels toothing manufacturing is machining, in which obtaining of a tooth outline is the result of removing of particular material layers [7][8][9][10]. Apart from long tradition, machining processes are relatively expensive and time consuming and they, additionally, lead to weakening of teeth resistance due to material structure rupture. This phenomenon has imposed a search for other unconventional methods of toothing forming. Numerous methods of metal forming of toothed wheels toothing have been worked out, among