The first thing is to calculate the deformation of the loaded gear

when researching dynamic characteristic of the gear transmission and controlling the transmission quality.In order to deduce a simplified approximate formula to calculate the tooth deformation with deflection of the internal spur gear

the four main gear parameters which influence the tooth stiffness of the internal spur gear are selected:position of load action、number of teeth、addendum modification and tool edge radius

the research model of the gear using the table of the orthogonal design is scientifically choiced;Then

the tooth deformation with deflection of each research model is theoretical researched and practically calculated;At last

a simplified approximate formula to calculate the tooth deformation with deflection of the internal spur gear is deduced by Multivariate regression analysis

which base the nonlinear dynamics study of internal gear pair.