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

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...

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Main Authors: Wen-Yi LIN, Kuo-Mo HSIAO, Jun-Yu KE
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2019-01-01
Series:Journal of Advanced Mechanical Design, Systems, and Manufacturing
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/jamdsm/13/1/13_2019jamdsm0007/_pdf/-char/en
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author Wen-Yi LIN
Kuo-Mo HSIAO
Jun-Yu KE
author_facet Wen-Yi LIN
Kuo-Mo HSIAO
Jun-Yu KE
author_sort Wen-Yi LIN
collection DOAJ
description 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.
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spelling doaj.art-4e8980c8885a4d459063c478a0c046f62022-12-22T03:39:49ZengThe Japan Society of Mechanical EngineersJournal of Advanced Mechanical Design, Systems, and Manufacturing1881-30542019-01-01131JAMDSM0007JAMDSM000710.1299/jamdsm.2019jamdsm0007jamdsmOptimum design of involute tooth profiles for K-H-V planetary drives with small teeth number differencesWen-Yi LIN0Kuo-Mo HSIAO1Jun-Yu KE2Department of Mechanical Engineering, Hungkuo Delin University of TechnologyDepartment of Mechanical Engineering, National Chiao Tung UniversityDepartment of Mechanical Engineering, National Chiao Tung UniversityThe 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.https://www.jstage.jst.go.jp/article/jamdsm/13/1/13_2019jamdsm0007/_pdf/-char/enplanetary driveprofile shiftmeshing equationnon-standard moduleoptimum design
spellingShingle Wen-Yi LIN
Kuo-Mo HSIAO
Jun-Yu KE
Optimum design of involute tooth profiles for K-H-V planetary drives with small teeth number differences
Journal of Advanced Mechanical Design, Systems, and Manufacturing
planetary drive
profile shift
meshing equation
non-standard module
optimum design
title Optimum design of involute tooth profiles for K-H-V planetary drives with small teeth number differences
title_full Optimum design of involute tooth profiles for K-H-V planetary drives with small teeth number differences
title_fullStr Optimum design of involute tooth profiles for K-H-V planetary drives with small teeth number differences
title_full_unstemmed Optimum design of involute tooth profiles for K-H-V planetary drives with small teeth number differences
title_short Optimum design of involute tooth profiles for K-H-V planetary drives with small teeth number differences
title_sort optimum design of involute tooth profiles for k h v planetary drives with small teeth number differences
topic planetary drive
profile shift
meshing equation
non-standard module
optimum design
url https://www.jstage.jst.go.jp/article/jamdsm/13/1/13_2019jamdsm0007/_pdf/-char/en
work_keys_str_mv AT wenyilin optimumdesignofinvolutetoothprofilesforkhvplanetarydriveswithsmallteethnumberdifferences
AT kuomohsiao optimumdesignofinvolutetoothprofilesforkhvplanetarydriveswithsmallteethnumberdifferences
AT junyuke optimumdesignofinvolutetoothprofilesforkhvplanetarydriveswithsmallteethnumberdifferences