DE102004056642A1 - Profile contour for form-fit shaft-hub-connection, has geometry that represents non-circular inner and/or outer contours for technical application, where contour possesses mathematical stability different from usual profiles - Google Patents

Abstract

The contour has a geometry that represents non-circular inner and/or outer contours for technical application for form-fit connections. The contour possesses mathematical stability different from the usual profiles such as liner and tooth profiles. The numerically approximated contour is produced by adjusting a curve to points. Eccentricities that are integral in the geometry adopt functional negative values.

Description

The Invention relates to the geometry of a new technically adjustable Profile type, the non-round inner and / or outer contours for technical Applications with positive locking Presented connections. The invented profiles, unlike the usual profiles, have the usual wedge shape. and tooth profiles, always mathematical continuity, making them significant Benefits for manufacture and assembly in technical applications the profiles for Shaft-hub-connections exhibit.

function explanation

The in the art long known epitrochoid and polygon profiles have been developed on the basis of the normal trochoid, by that a rolling circle unrolling on a base circle smoothly. such Although profiles have continuous contours, but they have so far only at low periodicities (Number of supporting flanks) for the shaft-hub connections technical applications found since the geometry of such profiles against eccentricity changes very much at larger periodicities is sensitive. This means, with increasing eccentricity begins to overlap the contour curve, before one as mehrflankig for Shaft-hub connection suitable contour can be formed. This The facts have so far been that the common epithrochoids and the usual based on it Polygon profiles practically only at small periodicities (to four) for Shaft-hub connections found "safe" applications to have. On the other hand, the conventional wedge and tooth profiles Although the above limitation not the polygonal profiles, but they have no mathematically continuous Contours on, which is very unfavorable in technical applications is. This is the case, for example, with the torsion-loaded wedge and tooth profile shaft-hub connections the case, where due to the edge centering practically multiple Passports available.

The core idea of the invention set forth herein is to incorporate additional complex eccentricities into the geometry of the epitrochoidal profile to eliminate the above-discussed disadvantages of the conventional positive polygon, wedge and tooth profile connections. 1 shows an example of a "steady" profile with "eight" bearing flanks, in the geometry of three additional eccentricities have been combined and installed. The geometry description of the invented profile type is made by an angle-faithful mapping of a circle on the profile according to the following relationship: Profile contour ≡ w (for base circle) + 1st eccentricity · w Cross Number + 1 (for conventional epitrochoid) + 2. eccentricity · w 2 · number of edges + 1 + 3. eccentricity · w 3 · number of edges + 1 + Incorporate further eccentricities.

• a) Zum einen sind die Konturen der Profile stetig. Diese Eigenschaft ermöglicht die gleichmäßige Zentrierung des Profils auf dem gesamten Profilumfang und nicht nur auf den tragenden Flanken.
• b) Darüber hinaus sind die Krümmungen an der Profilkontur (r₁ und r₂ gemäß 1) mit Hilfe von kombinierten und in der Profilgeometrie zusätzlich eingebauten Exzentrizitäten einstellbar. Diese Eigenschaft ermöglicht die Anpassung des Profils an zu erfüllende Funktionen sowie an die Belastung und an die Fertigungseinschränkungen.
• c) Die dritte vorteilhafte Eigenschaft der erfundenen Profilgeometrie ist, dass die Anzahl der tragenden Profilflanken beliebig gewählt werden kann.

In contrast to conventional wedge and tooth profiles, the invented profiles offer three advantageous properties which are decisive for technical applications:

• a) On the one hand, the contours of the profiles are continuous. This feature allows for even centering of the profile over the entire profile circumference, not just on the supporting flanks.
• b) In addition, the curvatures on the profile contour (r ₁ and r ₂ according to 1 ) with the aid of combined eccentricities additionally installed in the profile geometry. This feature allows the profile to be matched to the functions to be performed, the load and the manufacturing constraints.
• c) The third advantageous feature of the invented profile geometry is that the number of load-bearing profile edges can be chosen arbitrarily.

2 to 10 are some examples of the invented profile geometries.

It demonstrate:

r₁ und r₂ bezeichnen die Krümmungen an Fußbereich und Kopfbereich der jeweiligen tragenden Flanken. Diese Krümmungen sind ebenso durch die genannten Exzentrizitäten einstellbar. 1 : The contour of a "steady" profile with "eight" bearing flanks and "three" additional built-in eccentricities The relationships of D ₁ and D _{2 given} apply to:

r ₁ and r ₂ denote the curvatures at the foot region and the head region of the respective supporting flanks. These curvatures are also adjustable by said eccentricities.

2 : The profile geometry with 6 bearing flanks and "four" eccentricities:

3 : The profile geometry with 8 bearing flanks and "four" eccentricities:

4 : The profile geometry with 12 bearing flanks and "four" eccentricities:

5 : The profile geometry with 12 bearing flanks and "four" eccentricities:

6 : The profile geometry with 18 bearing flanks and "four" eccentricities:

7 : The profile geometry with 32 bearing flanks and "four" eccentricities:

8th : The profile geometry with 42 supporting flanks and "four" eccentricities:

9 : The profile geometry with 24 bearing flanks and "three" eccentricities:

10 : The profile geometry with 16 bearing flanks and "three" eccentricities:

Claims (5)

The profile contours for positive shaft-hub connections, the geometry of which by incorporating additional complex positive "so-called" eccentricities in the geometry of the already known forth conventional Epitrochoieden be generated. Here, the geometry of the invented profile type can be described by an angle-faithful mapping of a circle on the profile according to the following relationship: Profile contour ≡ w (for base circle) + 1st eccentricity · w Cross Number + 1 (for conventional epitrochoid) + 2. eccentricity · w 2 · number of edges + 1 + 3. eccentricity · w 3 · number of edges + 1 + Incorporate further eccentricities. The numerically approximated profile contours, the by fitting a curve to the points that follow in the first Claim described principle can be determined generated. This process is for example in the programming of the manufacturing processes customary with the help of numerically controlled production machines. The eccentricities built into the profile geometry may be functional also accept negative values. The geometry of the profile contours caused by the conjugation of the relationship set forth in the first claim become. The applications of geometries and profile contours the type shown above as an inner and / or outer profile for drive shafts, Shaft-hub connections and other technical applications such as dental and Sprockets, screw heads and couplings.