The effect of hob on the symmetry of tooth profile

In gear machining, the profile error of the hobbing process significantly affects the precision and tool life during subsequent operations, especially in shaving gear machining. There are various types of tooth profile errors, each with different causes. These errors can result from tooth angle deviations in the hob, indexing errors in the machine tool, or misalignment in the tool mounting. This paper focuses specifically on the tooth profile error caused by the hob itself. The hobbing process can be considered as the meshing of the gear being cut with a virtual rack without backlash. During this process, the involute tooth profile on the end face of the gear is formed by a series of non-continuous fold lines (as shown in Fig. 1). The angle formed between these fold lines has an apex, and the distance between this apex and the theoretical involute along the direction of the normal to the involute is referred to as the divergence degree (DH, as labeled in Fig. 1). DS represents the distance between the folds forming the involute. DH is an inherent principle error that occurs during the hobbing process. The vertices of the angles formed by the ridges are connected by straight lines, which together form the involute on the gear's end face. Each vertex corresponds to a tooth angle on the end face and forms a straight line across the width of the tooth. Hob neutrality refers to how well the axis of symmetry of any tooth or groove on the hob aligns with the centerline of the gear blank when mounted on the shank. This paper analyzes the effects of both proper alignment and misalignment of the hob on tooth profile errors. In the case of proper alignment (as shown in Fig. 2), the hob’s centerline coincides with the gear blank’s centerline. The tangent points M1 and M2 on the right and left sides of the hob’s tooth groove match the gear blank symmetrically, and their meshing lines intersect at point P1, which lies on the centerline of both the hob and the gear blank. At this stage, the tangent points forming the ridges are symmetrically distributed on both sides of the gear teeth. The corresponding DH values on the left and right sides of the tooth profile are equal and symmetrical, and the polyline representing the tooth profile curve is also symmetrical. This results in a tooth profile error that is symmetrically distributed. Figure 3 shows the simulated tooth profile curve and the broken lines formed under aligned hobbing conditions. Each horizontal line intersects the tooth profile curve at the fold lines, and the vertices between them define the shape of the involute. In contrast, when the hob is misaligned (as shown in Fig. 4), the hob’s centerline is offset relative to the gear blank’s centerline. The tangent points M3 and M4 on either side of the hob no longer remain symmetric, but instead shift by a certain distance. The intersection point P2 of the meshing lines now lies on the gear blank’s centerline rather than the hob’s, causing the cutting point to be asymmetric with respect to the line connecting the pitch point and the gear centerline. At this stage, the tangent points forming the ridges are unevenly distributed on the left and right sides of the tooth profile, resulting in unequal DH values. Consequently, the left and right sides of the tooth profile (including the fold lines that make up the curve) become asymmetrical. Figure 5 illustrates the broken lines formed under misaligned hobbing conditions. Although the final involute curve is symmetrical, each segment of the envelope and its vertices are not. As a result, the tooth angles on the left and right sides where the kurtosis occurs differ, leading to variations in DH and DS values. This means the tooth profile error is not only asymmetrical but also inconsistent. From the above analysis, it is clear that the alignment of the hob has a significant impact on the symmetry of the tooth profile. An asymmetrical tooth shape after hobbing can cause uneven forces on the shaving cutter during the shaving process, directly affecting the accuracy of the tooth profile and reducing the tool’s service life. It may also compromise the overall precision of the machine tool. Therefore, ensuring proper hob alignment is crucial, especially in the hobbing of gears with few teeth.

PSA Hydrogen generator

PSA H2 generator is generally a PSA purification equipment to get pure H2 from the gas mixture with H2 as the main component.

High purity H2 Generation System mainly comprises of Ammonia decomposition device for H2 generation.H2 pressurization system, PSA H2 Generator plus gas storage tanks....

Based on the requirement of gas production line, the H2 source, takes liquid ammonia as the raw material, which decomposes into the mixed gas of about 75% H2 and 25% N2 under the action of catalyst of Nickel. This will greatly improve the reliability and randomness of the H2 system, which make it convenient to maintain the system, to ensure the stable operation of the main production line.

The advantage of PSA H2 Generator
â—†Easy installation
The equipment is of compact structure, wholly skid-mounted, low space requirement without the infrastructure investment and small investment.
â—†It is more economical than other ways of H2 supply.
Pressure Swing Adsorption technology is a kind of easy and simple way to supply H2. It takes the decomposed gas from ammonia or natural gas. The energy consumed is only the electricity consumption of the H2 compressor, which endows it with such advantage of low running cost, low energy consumption and high efficiency.
â—†Integrated design of mechatronics and instrumentation makes the automatic operation realized.
Imported PLC fully controls the full automatic operation. The flow rate, pressure and purity of H2 are adjustable and can be displayed continuously; alarm of pressure, flow rate and purity can be set and remote automatic control and testing or measuring can also be realized, therefore, the unmanned operation is truly realized.
â—†Peak/Fail Safety system
Alarming and automatic start-up function of Peak/Fail back-up system can be configured for the user to ensure the safe and reliable running of the system.
â—†The high purity of components and parts is the guaranty of the stable and reliable running.
The key parts such as pneumatic valves and solenoid valves are all imported from Germany or Japan with advanced configuration. They are operated reliably with fast switching, and long service life of millions. They are of low failure rate, easy maintenance and low maintenance cost.
â—†Oxygen content can be displayed continuously, and if it is beyond the limit, there will be automatic alarming.
On-line monitoring of H2 purity to ensure the stability of the H2 purity required.
â—†High quality molecular sieve
The high quality molecular sieve has large adsorption capacity, high compressive performance with long service life. The service life of normal operation is 8 to 10 years.
â—†Advanced filling technology of molecular ensures the working life of the equipment.


PSA Hydrogen Generator,Hydrogen Generator,Hydrogen Generation Plant

Suzhou Xinrui Purification Equipment Co.,Ltd , https://www.gas-equipment.net