Optimum design of involute tooth profiles for K-H-V planetary drives with small teeth number differences

Wen Yi Lin, Kuo-Mo Hsiao, Jun-Yu Ke

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2 Scopus citations


The optimum design of an involute K-H-V PDSTND is restudied and remains a difficult task even using a profile shift for the design case discussed in the literature. In fact, the difficulty arises from the design with a very high efficiency and the peculiar tip interference. Because of the failure to obtain feasible designs using profile-shifted full-depth and stub teeth, another feasible design scheme is used by altering the addendums of involute profile-shifted full-depth teeth. In this study, the objective function of the optimum design is a weighted combination of two main performance factors, i.e., the reciprocal of the contact ratio and the working pressure angle. The optimization problem is solved using a combined-mutation differential evolution algorithm. The performance can be improved using the afore-mentioned design scheme; however, there is still room for improvements. Therefore, the use of different modules in mesh for involute profile-shifted full-depth teeth with variation in addendum is proposed and the corresponding meshing equation is derived. The findings show that further improvements on the performance can be achieved.
Original languageEnglish
Article number18-00482
JournalJournal Soc Mechanical Design Systems and Manifacturing
Issue number1
StatePublished - 2019


  • Planetary drive; Profile shift; Meshing equation; Non-standard module; Optimum design
  • GEAR

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