Based on the torsion deformation the gear body and the contact deformation of tooth surface, the fundamental equations of load of the gear was presented, thus established the theoretical basis of the load derivation of the gearing. In this paper, the torsion deformation of the circular arc gears is analyzed first. Then the second order differential equation for the tooth surface load distribution of the involutes gears has been deduced. The equation for the load derivation of the spur gears is presented while the errors of original tooth surface are under consideration. Revision of tooth surface in order to compensate the load deviation of the plastic gears is presented in this paper.
The roller Hourgrass worm transmission has the properties of high efficiency in meshing, high power transmission, large load capability, long working live, and can save nonferrous metal. This paper made deep investigation into the precision conjugate theory for the roller Hourgrass worm transmission. And the forming theory and machining of the worm gear and its cutting tool,---the hob of worm gear, has been researched as well.
This paper find a new expression to the mining of the flexion circle, presented a new method which combined the analysis method and the graphic method together, to draw the flexion circle. The paper found the relationship between the accelerate center and the flexion circle. Based on these achievements, this paper presented a new method to find the curvature of the profile of the conjugating gearing.
The concept of contact is applied into the machining of the complex surface. If the contact line is along the straight line of cutter, the contact line should be along the asymptotic direction of the surface being machined. For the undeveloped ruled surface, the directions of the normal vectors are different, while the directions of the normal vectors on the straight line of cylinder are the same, so that there may be some over cutting on the surface. With the theory of this paper, the best cutter postural can be determined when the contact line is not along the straight line of the cutter. And further more, with the concept of third order contact, both the best cutter postural and contact direction can be determined at same time. This paper showed how to use this method for the machining of impeller leaf.
The concept of “contact” in differential geometry is creatively applied into the machining of the sculptured surface; the contact principle of the machining of complicated surfaces is presented. The circumference circle of the cylindrical cutter instead of ball-end milling cutter is used to sweep the curved surface. This is the highly effective method. In this paper an innovative theory for machining complicated surface is presented. By using a flat-end mill instead of ball-end mill, and by adjusting the axis of cutter relative to the surface, the two surfaces, the swept surface and the required surface, have the same curvatures, up to as high as 3rd order. It shows how aspects of 5-axos machining can be achieved through 3-axis methods. This is useful as not all shops can afford 5-axis machining.
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