Profile Design And Transmission Performance Research On Any Tooth-difference Pure Rolling Movable Tooth Transmission

Any tooth-difference pure rolling tooth drive with a large transmission ratio, strongbearing capacity, high transmission efficiency and compact structure, is a very promisingnew tooth drive mechanism. According to "slip roll substitution principle", it form a localdegree of freedom in the composition of the two high deputy campaign to eliminate theelement relative sliding, the problem of badly worn teeth in the meshing deputy is solved.Any tooth-difference drive can expand gear ratio range, and multi-tooth differencetransmission has the force of static, dynamic self-balancing features, it is easy to achievethe compact design of the structure.The paper has done a study of the system in purerolling transmission principle tooth, tooth design, meshing characteristics, stress analysis,tooth dynamic response, prototype design and simulation.As the high order polynomial curve has no rigid and flexible impact, a new model offive polynomial curve is provided to achieve any tooth-difference pure rolling movabletooth transmission. Tooth profile equations of center wheel are derived based on speedconversion and envelope principle, and the parameter design condition is advancedaccording to the desire of no interference appearance on center wheel’s tooth profile, andvariation of the center wheel curvature radius and the effects of radius of the movabletooth axis on the properties of tooth profile are analyzed.In view of the different geometrical shapes and motion forms, based on the camtheory and fundamental principle of rolling tooth drive, analytic formula of toothmovement characteristics is established. Tooth profile unified equation of different types isdeduced, and the pressure angle analytic formula is also derived. Through simulationanalysis, the changing law of different tooth profiles is obtained, and the influencingrelationships of tooth parameters on the pressure angle is given. Tooth profile parameterregions to get better pressure angle are given, that lead to ideal pressure angle andmaximum efficiency of movable teeth transmission.Based on the elastic small deformation and deformation compatibility conditions, the engaging force and contact stress of mathematical solving model of the any differencepure rolling tooth drive is established. The trends of meshing force and contact stressbetween the tooth and the shock cam, the center wheel, tooth rack is obtained, and theposition of the transmission process of highest meshing engagement force and contactstress is obtained. By the elastic dynamic response analysis method, dynamic responseanalysis theory equation caused by the movement of tooth is established, and velocity,acceleration response and acceleration response spectrum is obtained.According to the principle of pure rolling transmission, the structure of two toothdifference pure rolling transmission mechanism is designed. Based on the establishedtheoretical analysis, tooth structure parameters is selected,3D modeling and virtualprototype assembly, the whole assembly is good, the proper tooth meshing relationshipwith the rationality of the parts design dimensions is verified; import virtual prototypeADAMS, in the uniform and non-uniform speed input two cases, the simulation resultsbetter reflect the high-order polynomial rolling teeth transmission has good transmissioncharacteristics.