Bending Stress Analysis Of Qssuadruple-arc Internal Gear

Circular arc gear is superior on the contact strength and bearing capacity than involute gear, and the application of Circular arc gear in industrial is also increasing. Based on the deep study of Circular arc gear, double-arc gear has two mesh point on one tooth, and qssuadruple-arc gear has four points on the same tooth mesh. So qssuadruple-arc gear is more superior on the bearing capacity than the double-arc gear. Based on the existing theory of qssuadruple-arc gear tooth profile, the paper put forward the concept of qssuadruple-arc internal gear for the first time. The main work include: qssuadruple-arc internal gear tooth profile design, the meshing theory of the new proposed gear, the meshing characteristics analysis of Circular arc gear, the comparison of stress between qssuadruple-arc internal gear and double-arc internal gear in the same situation according to the finite element model.Firstly, through analysis of the single-arc external gear tooth profile, the design of a single-arc internal gear tooth profile has been derived. And then the tooth profile design method of double-arc internal gear was proposed on the basis of double-arc external gear tooth profile.It has been proved that double-arc external meshing gear meet the basic principle of meshing, and so was the double-arc internal gear.the tooth profile of qssuadruple-arc internal gear was designed using pitch line method on the foundation of the above research. The project illustrated the main geometric parameters in details and proposed a reasonable parameter selection method. It has been proved that qssuadruple-arc internal gear meet the basic principle of gear engagement, and then the tooth surface equation was established with coordinate transformation method.Secondly, the meshing characteristic of single-arc gear, double-arc gear and qssuadruple-arc gear was carried on detailed system analysis, and draw the multipoint contact ratio and multi-tooth meshing coefficient formula. The solutions obtained above provide insight into their bearing capacity and become the basis for the subsequent analysis in this study.On the one hand, this article places, by using finite element analysis method, its emphasis on conducting bending stress analysis over the qssuadruple-arc gear and double circular internal gear; On the other hand, it also conducts preliminary comparative analysis on involute internal gear in this regard.The main contents are as follows:①. Analyze, by exerting oval uniformly distributed load on meshing point, the bending stress of the qssuadruple-arc internal gear and double circular internal gear;②. Analyze, by establishing a pair of internal gear pair, the bending stress of the qssuadruple-arc internal gear, double circular internal gear and involute internal gear;③. Draw the preliminary conclusion and test it by exerting uniformly distributed load on gear teeth;④. Draw the final conclusion.