An excerpt from Gear Technology Solutions by Dr. Hermann J. Stadtfeld exploring the mathematics behind conjugate bevel and hypoid gears—from the fundamental laws of gearing and the conditions for perfect conjugacy to why real-world power transmissions require deliberate crowning rather than theoretically exact conjugate designs.


This study systematically evaluates how material selection, progressive wear, and grease lubrication affect the noise, vibration, and harshness (NVH) performance of polymer gears, providing new insights for designing quieter, more optimized transmission systems.
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This study investigates how manufacturing-related geometry deviations in the tooth root area affect gear bending strength calculations, demonstrating that accounting for measured tooth contours rather than nominal geometries is essential for accurate material comparisons in fatigue testing.
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20NiMo9-7 alloy achieves up to 48 percent higher fatigue strength than conventional carburizing steels in the as-carburized condition, eliminating the need for shot peening and grinding in automotive gear applications.
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A method to calculate pitch cones for hypoid gears using macrogeometry parameters—similar to non-offset bevel gears—while accounting for the added complexity of hypoid offset, tooling, and cutting technology is explored in this paper.
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For cylindrical gears, speed-increasing transmission stages are well known, and regarding profile shift, preferred pressure angles, and helix angles a set of rules applies, which is not much different from the rules for speed reducers. It is important to acknowledge that basically, a speed increaser has to be designed just like a speed reducer, but then the gear with the lower number of teeth is the output. Of course, the torque and the speed of the gear with the lower number of teeth (output) and the gear with the higher number of teeth (input) must be the same as if this transmission was used as a speed reducer. In the case of straight bevel gears, spiral bevel gears, and hypoid gears the same rules apply with some additions. Spiral bevel gears have many applications as speed increasers.

Deburring gears is dusty, repetitive, and hard to staff. The OB7 cobot from Productive Robotics automates it with quick setup and no programming required. Consistent finish on every part, built in the USA. See the full cobot deburring package and request a quote.
Download the whitepaper to learn how lifecycle management improves tool performance, reduces downtime, and drives measurable cost savings.
This white paper explores how the use of an automatic tool change system can boost productivity in the grinding process. When manufacturing large gears, the demands regarding surface quality of the ground tooth flanks are increasing.
Join Kevin Meister and Troy Kirby from Productive Robotics, for a practical look at moving from hand deburring to cobot-automated in their own facility and many others.
Discover four diagnostic enhancement tools that move RX® endothermic gas atmosphere generator operations from preventative to predictive maintenance. Learn how monitoring dew point by retort, comparing equal flow, tracking tube performance, and measuring outlet temperatures prevent costly failures while ensuring consistent, high-quality carrier gas production.
At American Precision Gear, quality isn’t just a priority — it’s the foundation of everything they do. The shop specializes in high-precision miniature gears for aerospace, defense, and medical applications, where the strictest tolerances are non-negotiable. Helios Gear Products partnered with American Precision Gear to integrate the MZ 1000 D-Drive into their production.

North American companies ordered 9,055 robots valued at $543 million in the first quarter of 2026, according to new data released by the Association for Advancing Automation (A3). Compared to the first quarter of 2025, this represents a 0.1 percent decrease in units ordered and a 6.4 percent decline in revenue. While unit orders were essentially flat, order revenue declined year over year, driven largely by a cyclical decline in Automotive OEM orders, which fell 35.1% in units and 48.2% in revenue compared to the same quarter last year. Given the size and timing of automotive programs, that decline had an outsized impact on the total market.

Oct 12, 2026 - Oct 14, 2026

FNA (Indianapolis) is produced by the Metal Treating Institute (MTI) with media partner Heat Treat Today. The heat treat-only trade show and technical conference includes the latest products and technologies on industrial furnaces and ovens, atmosphere generation and control, quenching systems and quenchants, induction heating equipment, vacuum furnaces and pumps, heat treat software and controls and more
Sep 22, 2026 - Sep 24, 2026
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