WO2006018665A1 - Transmission de mouvement à tout moment, dans l'une quelconque des trois dimensions, par engrenages tridimensionnels sphériques - Google Patents
Transmission de mouvement à tout moment, dans l'une quelconque des trois dimensions, par engrenages tridimensionnels sphériques Download PDFInfo
- Publication number
- WO2006018665A1 WO2006018665A1 PCT/GR2005/000017 GR2005000017W WO2006018665A1 WO 2006018665 A1 WO2006018665 A1 WO 2006018665A1 GR 2005000017 W GR2005000017 W GR 2005000017W WO 2006018665 A1 WO2006018665 A1 WO 2006018665A1
- Authority
- WO
- WIPO (PCT)
- Prior art keywords
- gears
- teeth
- holes
- motion
- spherical
- Prior art date
Links
Classifications
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H1/00—Toothed gearings for conveying rotary motion
- F16H1/02—Toothed gearings for conveying rotary motion without gears having orbital motion
- F16H1/24—Toothed gearings for conveying rotary motion without gears having orbital motion involving gears essentially having intermeshing elements other than involute or cycloidal teeth
Definitions
- This invention refers to a new kind of gears that can transmit motion along all three dimensions at any moment.
- Figure 8 shows that in order to reduce friction, bearing balls (8) could be placed upon the apexes of the faces of both positive (P) and negative (N) gears, as well as the edges (9) of their teeth and holes could be smoothed out.
- Figures 4, 6 and 7 illustrate our idea schematically.
- the concave one is negative (C N2 ) in the sense that its internal surface has holes, as it is shown in the 3-dimensional aspect of the configuration of Figure 14. If the nested gear is however negative, the concave one is positive i.e. there are teeth in its internal surface.
- arms (B 2 ) ( Figures 13, 14) attached (embedded) in the two gears, and thus the motion of arms affects the motion of gears and vice versa.
- the degrees of freedom of arms depend on the gears' dimensions (i.e. radii, teeth, holes) as well as on the opening of the concave gear.
- the bases of the teeth may form in the perfect case regular polyhedra, however in practice they usually form pseudo-regular polyhedra.
- Our idea does not also exclude polyhedra of other form of their faces (i.e. beyond triangles only) or even mixed forms that produce the respective pyramid-like teeth or holes.
- the faces-bases can be for example only pentagons, or mixed pentagons and hexagons, or even circles (that will produce conical teeth and holes). More specifically, we preferred a polyhedral distribution of teeth and holes with triangle faces-bases because:
- the resultant teeth or the holes respectively will have differences between them (precisely as their faces-bases), yet these differences will be homogeneously (and periodically) distributed in such a way that, whenever they are found in a positive gear, the expected ones (i.e the expected same differences) be found also in its negative conjugate.
- Figure 23 we can see a group (10) of equal faces which create equal teeth or equal holes respectively. If in our example (12-hedron with 80 triangles on each face) we group all the equal faces, we result in Figure 24.
- indexes 1, 2, 3 which refer to the three methods of mounting ⁇ l, ⁇ 2 and ⁇ 3, respectively
- indexes P and N which denote whether the gear, that the preceding capital letters refer to, is positive or negative.
- Pi means positive gear in the ⁇ l method of mounting and C N2 means concave negative gear in the ⁇ 2 method of mounting.
- Figure 1 2 dimensional gears - single dimensional transmission of motion.
- FIG. 1 Front view of the "ring mounting" configuration.
- FIG 1 Transmission of motion by "ring mounting”.
- Figure 14 3-dimensional view of the configuration of "articulated (simple) mounting”.
- Figure 15. "Kernel” - "planets”.
- Figure 16. 2-dimensional equivalent model of "crust-kernel”.
- Figure 17. 3-dimensional aspect of "crust-kernel” - configuration of "articulated planet — mounting” .
- Figure 18. Attachment of arms - their associated motion in the "articulated planet — mounting” .
- Figure 19. Example of constructive regular polyhedron - Dodecahedron.
- Figure 20. "Triangulation" of each face of a polyhedron.
- Figure 22. Pseudo-regular polyhedron with triangular faces.
- Figure 23. Grouping of equal triangles-faces.
- Figure 24. Mapping of groups of equal faces.
Landscapes
- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Gears, Cams (AREA)
- Retarders (AREA)
Abstract
Engrenages tridimensionnels sphériques, qui sont caractérisés par des dents polyédriques (ou coniques), ou des trous polyédriques (ou même coniques) respectivement, réparties de façon uniforme sur toute la surface d'une sphère et qui peuvent transmettre un mouvement dans les trois dimensions. Ils se subdivisent en 'positifs' (P) (Figure 4), 'négatifs' (N) (Figure 6) et 'positifs concaves' (Cp3) (Figure 17) or 'négatifs concaves' (CN2) (Figure 14). Les engrenages 'conjugués' (P-N) (Figure 7), ceux qui correspondent l'un à l'autre, de façon à transmettre le mouvement de l'un à l'autre, doivent être positif avec négatif et présenter une géométrie (forme, dimension) et un nombre de dents-trous en rapport, afin de se verrouiller l'un à l'autre. Sur la base de cette idée nous établissons et décrivons ci-après trois procédés de montage de tels engrenages dans l'espace avec les façons correspondantes de transmettre le mouvement de l'un à l'autre: Σ1. Montage par bague (Figures 9, 10, 11, 12) ; Σ2. Montage articulé simple) (Figures 13, 14) ; Σ3. Montage articulé planétaire (Figures 15, 16, 17, 18). Les bases des dents (ou les ouvertures des trous) (Figures 21, 22, 23, 24) constituent dans l'idéal les faces de polyèdres réguliers, toutefois en pratique elles forment habituellement les faces de polyèdres pseudo-réguliers. Notre idée, après avoir choisi des bases triangulaires pour des dents ou des trous triédriques, n'exclue pas des polyèdres d'autre formes pour leurs faces (c'est-à-dire allant au-delà des simples triangles) ou même des formes mixtes qui produisent respectivement des dents ou des trous en forme de pyramide. Dans le cas des faces avec un grand nombre de côtés, qui sont sensiblement des cercles (bases circulaires), les dents et les trous deviendront des cônes.
Applications Claiming Priority (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| GR20040100340 | 2004-08-19 | ||
| GR20040100340A GR1004886B (el) | 2004-08-19 | 2004-08-19 | Σφαιρικα τρισδιαστατα γραναζια. μεταδοση της κινησης σε οποιαδηποτε απο τις τρεις διαστασεις, ανα πασα στιγμη |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| WO2006018665A1 true WO2006018665A1 (fr) | 2006-02-23 |
Family
ID=34685533
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| PCT/GR2005/000017 WO2006018665A1 (fr) | 2004-08-19 | 2005-05-16 | Transmission de mouvement à tout moment, dans l'une quelconque des trois dimensions, par engrenages tridimensionnels sphériques |
Country Status (2)
| Country | Link |
|---|---|
| GR (1) | GR1004886B (fr) |
| WO (1) | WO2006018665A1 (fr) |
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| DE102007040287A1 (de) * | 2007-08-24 | 2009-02-26 | Ilja Dzampajev | Stufenloses formschlüssiges Übersetzungsgetriebe |
| WO2010144367A1 (fr) * | 2009-06-08 | 2010-12-16 | Tangent Robotics Llc | Engrenage sphérique et système d'engrenage comprenant un engrenage sphérique |
| CN103573921A (zh) * | 2013-07-24 | 2014-02-12 | 杨兆奎 | 一种渐开线球齿轮传动副 |
| CN110273979A (zh) * | 2019-06-26 | 2019-09-24 | 长春理工大学 | 一种三自由度球齿传动副 |
| US20230193986A1 (en) * | 2021-02-02 | 2023-06-22 | Yamagata University | Differential mechanism |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US1468794A (en) * | 1922-09-18 | 1923-09-25 | Cosrstsuctioh | |
| US5497671A (en) * | 1994-02-02 | 1996-03-12 | Rourke; Edward G. | Pineapple gear and method of manufacturing the same |
-
2004
- 2004-08-19 GR GR20040100340A patent/GR1004886B/el unknown
-
2005
- 2005-05-16 WO PCT/GR2005/000017 patent/WO2006018665A1/fr active Application Filing
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US1468794A (en) * | 1922-09-18 | 1923-09-25 | Cosrstsuctioh | |
| US5497671A (en) * | 1994-02-02 | 1996-03-12 | Rourke; Edward G. | Pineapple gear and method of manufacturing the same |
Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| DE102007040287A1 (de) * | 2007-08-24 | 2009-02-26 | Ilja Dzampajev | Stufenloses formschlüssiges Übersetzungsgetriebe |
| WO2010144367A1 (fr) * | 2009-06-08 | 2010-12-16 | Tangent Robotics Llc | Engrenage sphérique et système d'engrenage comprenant un engrenage sphérique |
| US9027441B2 (en) | 2009-06-08 | 2015-05-12 | Tangent Robotics Llc | Spherical gear |
| CN103573921A (zh) * | 2013-07-24 | 2014-02-12 | 杨兆奎 | 一种渐开线球齿轮传动副 |
| CN110273979A (zh) * | 2019-06-26 | 2019-09-24 | 长春理工大学 | 一种三自由度球齿传动副 |
| US20230193986A1 (en) * | 2021-02-02 | 2023-06-22 | Yamagata University | Differential mechanism |
| US12233540B2 (en) * | 2021-02-02 | 2025-02-25 | Yamagata University | Differential mechanism |
Also Published As
| Publication number | Publication date |
|---|---|
| GR1004886B (el) | 2005-05-23 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN103075493B (zh) | 基于共轭曲线的锥齿轮啮合副 | |
| JP6063578B2 (ja) | １４面体の積み木 | |
| JP2016526468A5 (fr) | ||
| CN110273979B (zh) | 一种三自由度球齿传动副 | |
| JP2010119890A5 (fr) | ||
| WO2006018665A1 (fr) | Transmission de mouvement à tout moment, dans l'une quelconque des trois dimensions, par engrenages tridimensionnels sphériques | |
| WO2008055055A3 (fr) | Joint universel sphérique | |
| CA2522585A1 (fr) | Jouet logique cubique | |
| WO2020133650A1 (fr) | Paire d'engrènement d'engrenages appariés reposant sur une conjugaison de surface de ligne et procédé de conception associé | |
| CN104565283A (zh) | 渐开线非环形连续齿球冠齿轮传动机构 | |
| WO2007132999A1 (fr) | Appareil de transmission de puissance | |
| EP2532904A3 (fr) | Roulement annulaire pivotant | |
| US20100224035A1 (en) | Driving Tool Kit Including Driving Tools and Method for Determining Driving Angles of Driving Tools | |
| CN108533708A (zh) | 推力滚齿齿轮及使用此种齿轮的传动装置 | |
| US20080200090A1 (en) | Magnetic construction toy | |
| JP2005188720A5 (fr) | ||
| JP7678570B2 (ja) | 球状歯車回転システム | |
| CN114060473B (zh) | 一种三自由度渐开线球齿轮副 | |
| WO2010134828A9 (fr) | Casse-tête logique en trois dimensions et procédé de détermination de la forme de ses pièces | |
| WO2010143011A1 (fr) | Engrenages dentés avec profil de dent ayant différents angles de profil et différentiel avec ces engrenages dentés | |
| EP1538356A3 (fr) | Elément rotatif spherique | |
| JP4681292B2 (ja) | 直交伝動装置 | |
| WO2010011071A3 (fr) | Dispositif de jeu | |
| ES3024458T3 (en) | Reduction gearbox, system for producing electricity comprising said reduction gearbox and process for installing said system | |
| JPS58217823A (ja) | 自在継手 |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| AK | Designated states |
Kind code of ref document: A1 Designated state(s): AE AG AL AM AT AU AZ BA BB BG BR BW BY BZ CA CH CN CO CR CU CZ DE DK DM DZ EC EE EG ES FI GB GD GE GH GM HR HU ID IL IN IS JP KE KG KM KP KR KZ LC LK LR LS LT LU LV MA MD MG MK MN MW MX MZ NA NG NI NO NZ OM PG PH PL PT RO RU SC SD SE SG SK SL SM SY TJ TM TN TR TT TZ UA UG US UZ VC VN YU ZA ZM ZW |
|
| AL | Designated countries for regional patents |
Kind code of ref document: A1 Designated state(s): BW GH GM KE LS MW MZ NA SD SL SZ TZ UG ZM ZW AM AZ BY KG KZ MD RU TJ TM AT BE BG CH CY CZ DE DK EE ES FI FR GB GR HU IE IS IT LT LU MC NL PL PT RO SE SI SK TR BF BJ CF CG CI CM GA GN GQ GW ML MR NE SN TD TG |
|
| 121 | Ep: the epo has been informed by wipo that ep was designated in this application | ||
| NENP | Non-entry into the national phase |
Ref country code: DE |
|
| 122 | Ep: pct application non-entry in european phase |