An Attempt to Establish a Mathematical Model for an Unconventional Worm Gear with Bearings
The aim of this paper is to develop a mathematical model for an unconventional worm gear consisting of a globoid worm and a worm wheel where the teeth are bearings. Using rolling elements such the teeth of the worm wheel (ball bearings) transforms the sliding friction to rolling friction during the...
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-11-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/14/23/10833 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850061421118750720 |
|---|---|
| author | Simion Haragâș Roland Ninacs Ovidiu Buiga Lucian Tudose Alexandru Haragâș Ioana Monica Sas-Boca Felicia Aurora Cristea |
| author_facet | Simion Haragâș Roland Ninacs Ovidiu Buiga Lucian Tudose Alexandru Haragâș Ioana Monica Sas-Boca Felicia Aurora Cristea |
| author_sort | Simion Haragâș |
| collection | DOAJ |
| description | The aim of this paper is to develop a mathematical model for an unconventional worm gear consisting of a globoid worm and a worm wheel where the teeth are bearings. Using rolling elements such the teeth of the worm wheel (ball bearings) transforms the sliding friction to rolling friction during the process of worm gear meshing, improving power. The geometry of the component elements of the gear is analyzed in correlation with its kinematics. After the creation of the mathematical model, it is validated both analytically (through complex graphic representations) and experimentally (by creating, for a particular case, the 3D model and the concrete physical model (prototype) of the gear through 3D printing). |
| format | Article |
| id | doaj-art-e1d297c25f39469c8e4d633a55d27f62 |
| institution | DOAJ |
| issn | 2076-3417 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-e1d297c25f39469c8e4d633a55d27f622025-08-20T02:50:15ZengMDPI AGApplied Sciences2076-34172024-11-0114231083310.3390/app142310833An Attempt to Establish a Mathematical Model for an Unconventional Worm Gear with BearingsSimion Haragâș0Roland Ninacs1Ovidiu Buiga2Lucian Tudose3Alexandru Haragâș4Ioana Monica Sas-Boca5Felicia Aurora Cristea6Mechanical Systems Engineering Department, Faculty of Industrial Engineering, Robotics and Production Management, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, RomaniaMechanical Systems Engineering Department, Faculty of Industrial Engineering, Robotics and Production Management, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, RomaniaMechanical Systems Engineering Department, Faculty of Industrial Engineering, Robotics and Production Management, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, RomaniaMechanical Systems Engineering Department, Faculty of Industrial Engineering, Robotics and Production Management, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, RomaniaComputer Department, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, RomaniaMaterials Science and Engineering Department, Faculty of Materials and Environmental Engineering, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, RomaniaMechanical Systems Engineering Department, Faculty of Industrial Engineering, Robotics and Production Management, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, RomaniaThe aim of this paper is to develop a mathematical model for an unconventional worm gear consisting of a globoid worm and a worm wheel where the teeth are bearings. Using rolling elements such the teeth of the worm wheel (ball bearings) transforms the sliding friction to rolling friction during the process of worm gear meshing, improving power. The geometry of the component elements of the gear is analyzed in correlation with its kinematics. After the creation of the mathematical model, it is validated both analytically (through complex graphic representations) and experimentally (by creating, for a particular case, the 3D model and the concrete physical model (prototype) of the gear through 3D printing).https://www.mdpi.com/2076-3417/14/23/10833mathematical modelgloboid wormrolling frictionanalytical validationexperimental validationgraphical simulation |
| spellingShingle | Simion Haragâș Roland Ninacs Ovidiu Buiga Lucian Tudose Alexandru Haragâș Ioana Monica Sas-Boca Felicia Aurora Cristea An Attempt to Establish a Mathematical Model for an Unconventional Worm Gear with Bearings Applied Sciences mathematical model globoid worm rolling friction analytical validation experimental validation graphical simulation |
| title | An Attempt to Establish a Mathematical Model for an Unconventional Worm Gear with Bearings |
| title_full | An Attempt to Establish a Mathematical Model for an Unconventional Worm Gear with Bearings |
| title_fullStr | An Attempt to Establish a Mathematical Model for an Unconventional Worm Gear with Bearings |
| title_full_unstemmed | An Attempt to Establish a Mathematical Model for an Unconventional Worm Gear with Bearings |
| title_short | An Attempt to Establish a Mathematical Model for an Unconventional Worm Gear with Bearings |
| title_sort | attempt to establish a mathematical model for an unconventional worm gear with bearings |
| topic | mathematical model globoid worm rolling friction analytical validation experimental validation graphical simulation |
| url | https://www.mdpi.com/2076-3417/14/23/10833 |
| work_keys_str_mv | AT simionharagas anattempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings AT rolandninacs anattempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings AT ovidiubuiga anattempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings AT luciantudose anattempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings AT alexandruharagas anattempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings AT ioanamonicasasboca anattempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings AT feliciaauroracristea anattempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings AT simionharagas attempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings AT rolandninacs attempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings AT ovidiubuiga attempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings AT luciantudose attempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings AT alexandruharagas attempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings AT ioanamonicasasboca attempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings AT feliciaauroracristea attempttoestablishamathematicalmodelforanunconventionalwormgearwithbearings |