A degree of freedom of a hypoid gear is improved. An instantaneous axis in a relative rotation of a gear axis and a pinion axis, a line of centers, an intersection between the instantaneous axis and the line of centers, and an inclination angle of the instantaneous axis with respect to the rotation axis of the gear are calculated based on a shaft angle, an offset, and a gear ratio of a hypoid gear. Based on these variables, base coordinate systems are determined, and the specifications are calculated using these coordinate systems. For the spiral angles, pitch cone angles, and reference circle radii of the gear and pinion, one of the values for the gear and the pinion is set and a design reference point is calculated. Based on the design reference point and a contact normal of the gear, specifications are calculated. The pitch cone angle of the gear or the pinion can be freely selected.

A method of avoiding gear tooth interference in a planetary gear system includes designing and building a planetary gear system having a selected base pitch and tooth length for planet gears, breaking a rim of one of the planet gears, and verifying whether tooth tip interference occurs during operation of the planetary gear system.

A planet gear includes a pin and an annular planet gear rim. The pin has a pin radius. The pin includes a pin outer surface. The annular planet gear rim has an inner radius and an outer radius. The annular planet gear rim includes an inner surface and an outer surface. The inner surface and the pin outer surface define a clearance therebetween. The clearance is greater than 0 when a radial force is applied to the planet gear.

A system and method for determining surface contact fatigue life may use a finite element method to determine when components, such as a power transmission component, may fail in operation. The method may generate a finite element model based on the material parameters related to a power transmission component, generate a surface pressure time history for a loading event based on one or more loading parameters, determine, based on the surface pressure time history for a loading event, a finite element solution that describes stress in the grain structure, calculate damage in the finite element solution using a damage model, and determine whether a damage threshold is exceeded.

The present invention belongs to the field of mechanical transmission technology, and proposes a non-orthogonal elliptical toroidal worm gear pair, including an involute cylindrical gear and an elliptical toroidal worm formed by a primary envelope of the involute cylindrical gear; both adopt spatial non-orthogonal transmission, and the shaft angle satisfies the self-locking condition and the restriction condition of minimum tooth top width; the toroidal generatrix of the elliptical toroidal worm is elliptical, which can increase the number of meshing teeth and the total length of instantaneous contact line. A non-orthogonal elliptical toroidal worm gear pair proposed in this invention has the characteristics of toroidal worm drive and can realize the whole facewidth of the gear to participate in the meshing drive. It can be used in the fields of precision continuous indexing transmission, continuous lapping of cylindrical gear tooth flank, and has good popularization application value and industrialization prospect.

The present invention is a variable-ratio line gear mechanism. The mechanism forms a transmission pair consisting of a driving line gear and a driven line gear, of which axes intersect at an arbitrary angle. Transmission is generated by point contact meshing movement of line teeth between the driving line gear and the driven line gear. A contact curve of the line tooth is designed in accordance with space conjugate curve meshing theory, and the designing equation is divided into an equal transmission ratio part and a variable transmission ratio part. The equal transmission ratio part provides a uniform transmission, and the variable transmission ratio part makes the transmission ratio smoothly transit. The line gear mechanism is able to provide periodically transmission with variable transmission ratio, to provide a plurality of transmission ratios during a movement period of the driven line gear, and to enable smooth transitions between respective transmission ratios in accordance with movement rules.

A method for designing a gear train having first and second enmeshed gears includes performing a first analysis with the first and second gears in a first configuration. The first analysis includes determining a first transmission error (TE) characteristic of the first configuration, and providing a first geometric representation of the first TE characteristic. The method also includes performing a second analysis with the first and second gears in a second configuration. The second analysis includes determining a second TE characteristic of the second configuration and providing a second geometric representation of the second TE characteristic. Moreover, the method includes providing a comparison of the first and second TE characteristics by providing a comparison of the first and second geometric representations.

This method for designing a transmission device includes: a body part design step for designing a body part having an internal gear in which a plurality of teeth are aligned in a ring shape; a gear unit part design step in which a plurality of gear unit parts, each having a planetary gear that meshes with a sun gear, that revolves about an axis line and rotates about its own center line, and that is capable of meshing with the internal gear, are designed so as to have different gear ratios and to have the same outside diameter; and a gear unit part selection step for selecting one gear unit part from the plurality of gear unit parts.

Disclosed is cycloidal pin wheel harmonic transmission device, includes camshaft, flexible bearing, flexible wheel, roller pins and rigid wheel. The flexible bearing is mounted on the camshaft with elliptical shape. The flexible wheel has inner ring cooperated with outer ring of the flexible bearing, and outer teeth surface contacted with each roller pin. The roller pins are evenly disposed inside semicircular groove of the rigid wheel. The flexible wheel is fixedly connected with inner ring and the rigid wheel is fixedly connected with outer ring of the main bearing. Both teeth height and root have cycloidal teeth profiles reduces the risk of breakage failure, possible to obtain larger engagement without deep engaging distance. Teeth width is large, used for the engagement, the surface specific pressure is small. It is possible to withstand large torque to reduce the amount of deformation of the flexible wheel, and to greatly improve the longevity.

A method of avoiding gear tooth interference in a planetary gear system includes designing and building a planetary gear system comprising a selected base pitch and tooth length for planet gears, breaking a rim of one of the planet gears, and verifying whether tooth tip interference occurs during operation of the planetary gear system.