Modification of the Pitch Curve Design Defect of Non-circular Gear based on Spline Interpolation Method
Aiming at discontinuity and cusp problem of pitch curves for non-circular gear pairs,based on the closed condition of pitch curve and transmission ratio function for non-circular gear,modification model of pitch curve design defects for non-circular gear is established. A modification factor is intr...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Editorial Office of Journal of Mechanical Transmission
2018-01-01
|
| Series: | Jixie chuandong |
| Subjects: | |
| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.05.018 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841547412547567616 |
|---|---|
| author | Liu Qinqin Lü Gang Deng Xingqiao |
| author_facet | Liu Qinqin Lü Gang Deng Xingqiao |
| author_sort | Liu Qinqin |
| collection | DOAJ |
| description | Aiming at discontinuity and cusp problem of pitch curves for non-circular gear pairs,based on the closed condition of pitch curve and transmission ratio function for non-circular gear,modification model of pitch curve design defects for non-circular gear is established. A modification factor is introduced into modification model to avoid effectively discontinuity of pitch curve. Based on geometrical relationship between points lied in pitch curve and its osculating circle,modification models for concave cusp and convex cusp of pitch curve are established respectively. The points lied in osculating circle are considered as interpolation points,the tangency points between osculating circle and pitch curve is boundary conditions of spline interpolation,cusp of pitch curve is modified by using numerical interpolation method. The results indicate that design deficiency such as pitch curve for high-order Achimedean spiral gear pair can be amended quickly by the algorithm,while it is exactly. |
| format | Article |
| id | doaj-art-54daf240c2974333accc6cd2edca76ef |
| institution | Kabale University |
| issn | 1004-2539 |
| language | zho |
| publishDate | 2018-01-01 |
| publisher | Editorial Office of Journal of Mechanical Transmission |
| record_format | Article |
| series | Jixie chuandong |
| spelling | doaj-art-54daf240c2974333accc6cd2edca76ef2025-01-10T14:42:05ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392018-01-0142909529936372Modification of the Pitch Curve Design Defect of Non-circular Gear based on Spline Interpolation MethodLiu QinqinLü GangDeng XingqiaoAiming at discontinuity and cusp problem of pitch curves for non-circular gear pairs,based on the closed condition of pitch curve and transmission ratio function for non-circular gear,modification model of pitch curve design defects for non-circular gear is established. A modification factor is introduced into modification model to avoid effectively discontinuity of pitch curve. Based on geometrical relationship between points lied in pitch curve and its osculating circle,modification models for concave cusp and convex cusp of pitch curve are established respectively. The points lied in osculating circle are considered as interpolation points,the tangency points between osculating circle and pitch curve is boundary conditions of spline interpolation,cusp of pitch curve is modified by using numerical interpolation method. The results indicate that design deficiency such as pitch curve for high-order Achimedean spiral gear pair can be amended quickly by the algorithm,while it is exactly.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.05.018Non-circular gearDesign defectPitch curveModification factorNumerical interpolation |
| spellingShingle | Liu Qinqin Lü Gang Deng Xingqiao Modification of the Pitch Curve Design Defect of Non-circular Gear based on Spline Interpolation Method Jixie chuandong Non-circular gear Design defect Pitch curve Modification factor Numerical interpolation |
| title | Modification of the Pitch Curve Design Defect of Non-circular Gear based on Spline Interpolation Method |
| title_full | Modification of the Pitch Curve Design Defect of Non-circular Gear based on Spline Interpolation Method |
| title_fullStr | Modification of the Pitch Curve Design Defect of Non-circular Gear based on Spline Interpolation Method |
| title_full_unstemmed | Modification of the Pitch Curve Design Defect of Non-circular Gear based on Spline Interpolation Method |
| title_short | Modification of the Pitch Curve Design Defect of Non-circular Gear based on Spline Interpolation Method |
| title_sort | modification of the pitch curve design defect of non circular gear based on spline interpolation method |
| topic | Non-circular gear Design defect Pitch curve Modification factor Numerical interpolation |
| url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.05.018 |
| work_keys_str_mv | AT liuqinqin modificationofthepitchcurvedesigndefectofnoncirculargearbasedonsplineinterpolationmethod AT lugang modificationofthepitchcurvedesigndefectofnoncirculargearbasedonsplineinterpolationmethod AT dengxingqiao modificationofthepitchcurvedesigndefectofnoncirculargearbasedonsplineinterpolationmethod |