A flank correction methodology for a five-axis CNC gear profile grinding machine

The generation principle and mathematical models of a novel cosine gear drive

Free-Form Flank Correction in Helical Gear Grinding Using a Five-Axis Computer Numerical Control Gear Profile Grinding Machine

Based on gear theory and generating mechanism, this investigation presents a complete mathematical model of a helical gear set with small number of teeth. The unavoidable tooth-profile undercutting of the gears with small number of teeth is examined by using the developed mathematical model and the conventional method of tooth-profile shifting. Furthermore, an alternative method for lessening the tooth-profile undercutting is also presented by considering a modification of the basic fillet geometry using a modified rack cutter. A third method, combining the aforementioned two methods for the design of helical gears with small number of teeth is also proposed to yield a gear set without tooth undercutting. The mating gear with profile shifting is generated using the pinion as a shaper. The tip fillet and root fillet are modified and a clearance between the pinion and the mating gear is also included in the design. Analysis results indicate that the change of distance between the centers of gear set depends only on gear shifting. Moreover, computer graphs are demonstrated the profile-shifted and the proposed modified gear tooth profiles.

https://ir.nctu.edu.tw:443/bitstream/11536/13191/1/000231400200020.pdf

Tooth profile design for the manufacture of helical gear sets with small numbers of teeth

Tooth Profile Design for the Manufacture of Helical Gear Sets with Small Number of Teeth

The authors introduced a new method (element removal method) for calculating the profiles of the tools (hob, form grinding wheel, etc.) used for finishing gears with an arbitrary tooth profile. Because this method simulates exactly the metal removing process in the gear tooth profile generation, it is possible to calculate the generated tooth profile when interference occurs between the cutting edge and the finished tooth profile. Using this method, the authors calculated the exact wheel profile which can produce and involute tooth profile with a tip relief at a transverse section of the involute helical gears. The wheel profile was generated by a single point diamond dresser using a universal NC milling machine with an attachment made by the authors. The tooth flank and root of test gears were ground at the same time to prevent a step (notch), which is apt to be produced at the boundary of ground and unground surfaces. The accuracy of the form ground test gears was in the zero class of JIS and the surface roughness was in the range of 0.5 to 1.0 μm Rmax.

Design and Manufacture of Gear Cutting Tools and Gears with an Arbitrary Profile : Vibration, Control Engineering, Engineering for Industry

A new method of calculating grinding-wheel profiles for finishing pinion cutters to shape spur and helical gears with an arbitrary profile is developed using the theory of the element removal method (ERM) previously proposed by the authors. In order to show the usefulness of this method, the profiles of the grinding wheel for finishing the pinion cutter (mn = 3) for Novikov gears with concave teeth are calculated numerically, and then the profiles of the pinion cutter finished by the grinding wheel are calculated. The difference (calculation error) between the given and the calculated profile of the pinion cutter was less than O.1 μm before regrinding. Profile errors of the cutting edges after regrinding are shown in terms of the number of teeth, the helix and rake angles and the regrinding stock. The effective clearance angles of cutting edges, which produce some broblems in gear finishing, are calculated from changes in the profiles of the cutting edges before and after regrinding.

/pdf/design-and-manufacture-of-pinion-cutters-for-finishing-gears-51dw8q2xq1.pdf

Design and Manufacture of Pinion Cutters for Finishing Gears with an Arbitrary Profile

The accuracy of tooth profiles of gears finished by form grinding is strongly affected by positioning errors between the grinding wheel and the work gear, such as errors in the center distance, the inclination angle of the wheel axis and the position of the grinding wheel in the axial direction. In this paper, the effects of these positioning errors on the profile errors of the helical gears being ground are investigated numerically and two practical methods to compensate the profile errors of the gears ground with the positioning errors are proposed. One is a method of modifying the grinding-wheel profile based on the measured profile error of the ground gear. The other is a method of analyzing interactively and removing the positioning errors producing the profile error of the ground gear. To demonstrate the usefulness of the methods, error compensation for the involute helical gear ground with two or more kinds of positioning errors is conducted.

Error Compensation for Form Grinding of Gears.

Design, Manufacture and Load Carrying Capacity of Novikov Gears with 3-5 Pinion Teeth for High Gear Ratios : 2nd Report; Contact Behaviour and load Carrying Capacity of the Gears

Obtention des equations pour le calcul des paires d'engrenage de Novikov a 3-5 dents de pignon, et analyse numerique utilisant un calculateur electronique. Etude experimentale utilisant un paire avec 3 dents pour le pignon et 27 dents pour l'engrenage, et un angle d'helice de 22°. Obtention d'un rendement de transmission de 99% pour une vitesse de pignon de 2000 tours/minute et des charges tangentielles comprises entre 1500 et 3000 N. Comparaison avec des engrenages a profil en developpante de cercle

Design, Manufacture and Load Carrying Capacity of Novikov Gears with 3-5 Pinion Teeth for High Gear Ratio : 1st Report; Design, Manufacture and Power Transmission Efficiency

Hidehiro Yoshino

Papers

Design and Manufacture of Gear Cutting Tools and Gears with an Arbitrary Profile : Vibration, Control Engineering, Engineering for Industry

Design and Manufacture of Pinion Cutters for Finishing Gears with an Arbitrary Profile

Error Compensation for Form Grinding of Gears.

Design, Manufacture and Load Carrying Capacity of Novikov Gears with 3-5 Pinion Teeth for High Gear Ratios : 2nd Report; Contact Behaviour and load Carrying Capacity of the Gears

Design, Manufacture and Load Carrying Capacity of Novikov Gears with 3-5 Pinion Teeth for High Gear Ratio : 1st Report; Design, Manufacture and Power Transmission Efficiency