Abstract: As an important mechanical part, gear is widely applied in all kinds of mechanical equipment, and its design and manufacture directly affect the actual performance and work quality of mechanical equipment. Since the working life of the gear is inversely proportional to the sixth power of the maximum bending stress value of the gear, accurate calculation of the bending strength of the gear root is a necessary guarantee to extend its service life. In order to address the bending stress of the gear more accurately, this paper proposed an algorithm of gear bending strength analysis based on isogeometric analysis method, which provided the isogeometric analysis of the mechanical properties for the two-dimensional gear structure. Compared with the traditional calculation formula of tooth root bending stress and the finite element method, our results show that the isogeometric analysis approach is of higher accuracy and efficiency in analyzing the bending stress of the gear tooth root. Compared with the stress field obtained by the finite element method, the result by the isogeometric analysis is smoother, which provides an effective method for solving the bending strength problem of gear root. 

Key words:  isogeometric analysis, finite element analysis, gear bending strength, non uniform rational B-spline, linear elastic analysis