Strength Analysis of Logix Gear Based on UG

According to the tooth profile theory of Logix gear, this paper discussed a method of parametric modeling based on UG. By this method, 3D model of Logix gear with different parameters can be easily and quickly built, though tooth profile is complicated. And then, it analyzed the bending stress and contact stress of Logix gear. By comparison with the standard involute gear, it showed that Logix gear has higher bending and contact strength. So it is possible this type of gear can be applied in the case of heavy load. So it provided some practical technical guidance on the research of high strength gear and the application of Logix gear.

The Studying of Logix Gear Construction Principle and Parameter Simulation Using Matlab

Logix gear is a new gear based on new tooth profile theory. On the primary, the forming principle of the logix gear tooth profile is analysed. Then the tooth profile curve equations of logix gear are derived, and their center coordinate equations of base circle are given. According these equations, their curves are simulated using Matlab, which are corresponded to practical tests. The study lays a foundation of computer aided design of the logix gears. And the study can be used to perfect mathematical models and to optimize manufacturing methods.

The Analytical Method of the Construction of the Profile of the Basic Rack for Equal Conjugate Curvature

After an extensive research on the fundamental theory, the theoretical basis for the Logix gearing will be presented in this paper. This includes the theory for gear meshing with high degree of contact. In comparison to previous studies, the theory of this paper is more restricted going beyond third order parameters into the fourth order, the teeth profile had one order of contact higher than that of the Logix gearing. So that further improved the contact strength of tooth profile. A large category of gearings with high order of contact was presented, while the Logix gear is only one of them, or the special example in realization of my theory. In the Logix gearing, the zigzag curvature center curve of media rank does not always lay about the pitch line and does not extend along the pitch line continuously and steadily. It goes forward and returns. So that, in terms of properties of the transverse engagement, the Logix gearing has not much improvement over the traditional Novikov gearing (in which the transverse engagement is temporally). In my gearing the curvature center of media rank extend along the pitch line continuously and steadily. The transverse engagement factor is larger than that of Logix gearing.

The Configulation of the Profile of the Basic Rack for High Order of Contact

After an extensive research on the fundamental theory, the theoretical basis for the Logix gearing will be presented in this paper. This includes the theory for gear meshing with high degree of contact. In comparison to previous studies, the theory of this paper is more restricted going beyond third order parameters into the fourth order, the teeth profile had one order of contact higher than that of the Logix gearing. So that further improved the contact strength of tooth profile. A large category of gearings with high order of contact was presented, while the Logix gear is only one of them, or the special example in realization of my theory. In the Logix gearing, the zigzag curvature center curve of media rank does not always lay about the pitch line and does not extend along the pitch line continuously and steadily. It goes forward and returns. So that, in terms of properties of the transverse engagement, the Logix gearing has not much improvement over the traditional Novikov gearing (in which the transverse engagement is temporally). In my gearing the curvature center of media rank extend along the pitch line continuously and steadily. The transverse engagement factor is larger than that of Logix gearing.

Reconsideration of the LogiX Gear Using a General Mathematical Model of Composite Gear Profiles

A general mathematical model is derived for describing the conjugate tooth profiles and meshing properties of composite gears. Via a typical gear parameter, the pressure angle, necessary conditions that determine the continuity of composite gears in tooth geometry and meshing properties are introduced. The peculiarity of the presented model is that composite gears can be parametrically characterized by the specific functions in terms of pressure angle. An example is demonstrated that the discontinuity in composite gears will be efficiently and logically solved. In this paper the LogiX gear, a special composite gear which consists of many segmental “S” curves in gear profiles and possesses zero values of relative curvature and specific sliding at the joints of connected segmental profiles, will be parametrically investigated by this model. The “ideal” LogiX gear profile, theoretically, is constructed by infinite numbers of segmental profiles such that it may have infinite numbers of zero values of relative curvature and specific sliding. However, this “ideal” LogiX gear profile is characterized as a linear parametric profile that is a monotonous curve substantially and no more has infinite numbers of the zero values. Finally, many parametric gears which own power relative curvature and specific sliding than that of the “ideal” LogiX gear profile are presented.