Reliability of Roller Freewheel Clutch with a Constant Jamming Angle

The article formulates the condition for the simultaneous operation of all elements of the roller freewheel clutches. Based on this condition, a functional dependence of the profiling involute line of the sprocket working surface was obtained, ensuring the constancy of the angle of roller jamming, regardless of their size. The algebra of n-dimensional hypercomplex numbers is used to describe the isometry of the profiling involute line in space. This mathematical tool is used to simplify the translation of the involute surface equation into program blocks of numerically controlled machine. The formulas are given to determine the optimal values of the tolerances for the dimensions of the clutch parts. Requirements for the accuracy of manufacturing clutch parts have been developed. An express method for calculating the operational reliability of freewheeling clutches is proposed. The results of calculations by the proposed method are in qualitative agreement with the results of observations of the clutch operation and experimental data.

Surface formation of forged straight tooth of bevel gear taking into account stock for finishing

Calibration – a finishing operation of conical spur die forming is considered. A working surface of teeth of one of spurs is presented as an involute surface, and other – a modified tapered involute surface. The paper reports the procedure for the formation of tooth surfaces after calibration and before calibration taking into account an allowance chosen. An option of allowance distribution for calibration is offered.

A New Method of Motion Rule Synthesis for Face Gear Manufacturing by Plane-Cutter

The application of a Gleason Coniflex cutter (plane-cutter) to a modern Phoenix bevel gear machine tool in face gear manufacturing has an advantage of involving a universal cutter or grinder and an available existing machine. It is valuable to research this method for face gear manufacturing. First, the principle of the application of the plane-cutter in face gear manufacturing is presented. Then, the geometry of the cutter is defined, and the model of the face gear generated by this method in abstract is established. Third, a method that uses a predesigned contact path for the synthesis with the motion parameters of the plane-cutter is proposed; controllable transmission errors are considered in this process. Fourth, based on the equivalence principle of the position and direction, the computer numerical control (CNC) motion rules of all spindles of the machine are determined, and the surface generated by the machine is presented. Finally, numerical simulation of an example demonstrates that although the surface generated by the plane-cutter, to a certain extent, deviates from the theoretical surface generated by the traditional method, the surface, in meshing with the standard involute surface of the pinion, presents a good geometric meshing performance based on tooth contact analysis (TCA), except for a shortened contact ellipse.

Study on the generation of spiral bevel gears with spherical involute tooth profile by the tracing line

In this article, a new gear generating method for the spiral bevel gear with spherical involutes tooth curves was proposed. It was analysed that the tooth flank with cone-spiral involute surface could be formed by the space trajectory of a straight line. The straight line was named as a tracing line. In the method, three motions were demanded; those were the rotary motion of the workpiece, the rectilinear motion of the end of the tracing line along the dedendum, and the rotary motion of the tracing line in the plane. The motion equations were derived. The plate milling cutter with face cutting edges could be used to machine the spiral bevel gears and the chord line of the face circle worked as the tracing line. By the method, the spiral bevel gears without principle errors whose tooth flanks are exact spherical involute curves that could be achieved.

A Calculating Method for the Movement Contrail in the Operation of Dressing the Profile Shape of Grinding Wheel Used for Numerical Control Form Grinding Spur Cylinder Gear

This paper introduces the machining principles and characteristics of mold grinding cylinder gear as well as the composition of a form disc grinding wheel. By using contour machining principle，a mathematical model of form grinding the involute surface of a spur cylinder gear is established. And also a calculating formula used to dress the profile shape of the transition curve of grinding wheel is given by calculating. This provides a calculation method for dressing the profile shape of disc grinding wheel in the axial section used for the operation of numerical control form grinding spur cylinder gear. The example illustrates the method is effective in the use.

Motion Simulation of Gears and Cams Using Working Model

Motion simulation of mechanism of line contact like gears and cams has been difficult in the past. With Working Model, NURBS based complex geometry can be modeled fairly easily, and its simulation engine can animate this type of mechanism accurately. In this paper several Working Model files are developed for visualization and analysis. An algorithm to generate involute gear tooth profile is introduced in this paper for the involute and a portion of non-involute surface.

Analytical Reconstruction of the Running Surfaces of Gear Teeth Using Standard Profile and Lead Measurements

A method is developed for analytically reconstructing the geometric deviations of the running surface of a gear tooth from a perfect involute surface. The method uses standard profile and lead deviation measurements and is applicable to both helical and spur gears. The reconstruction is carried out by using normalized Legendre polynomials. For this class of functions, it is shown that the optimum locations of the profile and lead deviation measurements are the locations of the zeros of the Legendre polynomial of degree equal to the number of profile or lead deviation measurements taken–after appropriate normalization of the tooth width or depth, as appropriate. A least squares fit procedure for establishing a common origin of ordinates for sets of profile and lead deviation measurements is formulated, and its solution is carried out in closed form. Account is taken of the noninsignificant errors that typically arise in profile and lead deviation measurements so that the final analytically reconstructed tooth surface is free of inconsistencies.