Papers by Keyword: Minimum Teeth

Abstract: Study on minimum teeth without undercutting for considering the rack cutter’s addendum c*m of a kind of gear with 14.5 degree pressure angle, and the gear standard No is B436-1940 and used in UK. Based on the generating method, reasons for undercut phenomena is analyzed, and the numbers of minimum teeth without undercutting of the involute spur gear, involute helical cylindrical gear and involute spur bevel gear are theoretically analyzed and figured out. The correct number of minimum teeth without undercutting of gear with 14.5 degree pressure angle is given, and also illustrated the validity of theoretical derivation.

Abstract: Contrast analysis of the stub tooth involute gear with 22.5 degree pressure angle, and the existing gear with standard pressure angle has been given in this study. Based on the combination of generating method, numerical calculations and simulations, reasons of undercut phenomena for stub tooth involute gear with 22.5 degree pressure angle are researched and analyzed deeply. Minimum teeth without undercutting for considering the rack cutter’s addendum c*m is given based on the traditional undercutting theory, which also illustrated the validity of theoretical derivation.

Abstract: In textbooks of mechanical engineering, rack has been mistakenly regarded as rack cutter so that minimum teeth without undercutting have been deduced, which has made people misunderstand undercut phenomenon more than 65 years. Theoretical research and computer simulation about undercut phenomenon are presented in this paper. Firstly, the theoretical analysis and calculation on minimum teeth without undercutting have been carried out, the rack cutter is used to infer minimum teeth without undercutting of standard involute gears, and correct minimum teeth without undercutting are get; And then computer simulation is applied to verify validity results of theoretical calculations, which not only corrects the long-standing mistakes about the traditional undercut phenomenon, but also provides the correct theoretical guidance for gears’ manufacturing.