Abstract:
A planetary gear system having at least two planetary steps, each of which is made up of at least one set of planets and one sun, whereby the teeth of the gearwheels in the planetary drive mesh with each other in such a way that, in each of the meshing points, at least one first tooth on a first toothing of first teeth positively engages into a tooth gap of a second toothing of second teeth. First teeth of the first toothing have a tooth flank profile concavely arched, and second teeth of the second toothing have a tooth flank profile convexly arched, so that the tooth flanks in contact with each other are arched in the same directions, at least when in contact.
Abstract:
A gear system which includes a pinion and mating-gear forming a gear pair with a predetermined gear ratio (mG), center distance (C), face-width (Fw), and limiting stresses. The pinion has a pinion tooth number (N1) and a first plurality of teeth, each tooth having a first-tooth profile. The mating gear has a mating-gear tooth number (N2) satisfying the expression N2=mG·N1 and a second plurality of teeth, each tooth having a second-tooth profile. The relative curvature of the first-tooth profile and the second-tooth profile is given by the expression kc·Fc, where Fc is a relative reference curvature function given by the expression Fc=(N1+N2)2/(N1·N2·C), and kc is a relative curvature multiplier which is a function of the gear ratio (mG), the center distance (C), the face-width (Fw), and the limiting stresses.
Abstract translation:一种齿轮系统,其包括小齿轮和配合齿轮,其形成具有预定齿轮比(m N G)的齿轮对,中心距离(C),面宽度(F sub> >),并限制应力。 小齿轮具有小齿轮齿数(N SUB 1)和第一多个齿,每个齿具有第一齿轮廓。 配合齿轮具有满足表达式N N 2 N N N N N 2的匹配齿轮齿数(N 2 2 N) / SUB>和第二多个齿,每个齿具有第二齿轮廓。 第一齿廓和第二齿轮廓的相对曲率由下式给出:其中F < 是由下式给出的相对参考曲率函数:(N 1 + 2 N 2)2 / (N 1 / N 2,N 2 C),并且k C c是相对曲率倍数,其是齿轮比(m < 中心距离(C),面宽度(F&gt; W&lt; / SUB)和极限应力。
Abstract:
A gearing system which includes a pair of gears. The tooth profile of the first gear has three portions: a concave portion lying within the dedendum of the first gear, a convex portion lying within the addendum of the first gear, and a transition zone disposed between the concave and convex portions. Similarly, the tooth profile of the mating gear has three portions: a concave portion lying within the dedendum of the mating gear, conjugate to the convex portion of the tooth profile of the first gear; a convex portion lying within the addendum of the mating gear, conjugate to the concave portion of the tooth profile of the first gear; and a transition zone disposed between the concave and convex portions. The pair of gears may be designed such that no contact between meshing teeth is made along the transition zones. The tooth profiles of the gear pair have constant, or nearly constant, relative curvature. Alternatively, due to the shape of the tooth profiles, constant, or nearly constant, contact stress results when the gears are in mesh.
Abstract:
W-N gears of novel basic rack tooth profile designed to have at all times two points of meshing contact located in the same reference plane, one on an addendum arc of first tooth and the other on the dedendum arc of a second tooth neighboring the first tooth on its side opposite to the addendum arc, so that at the respective points of contacts the addendum and dedendum arcs have lines of radius aligned with each other. Such dual tooth contact enables much smoother and quieter gear operation, the points of contact proceeding in the direction of tooth trace.
Abstract:
A gear and method for producing the gear. The gear has a gear tooth profile conjugate to a gear basic-cutter tooth-profile having an addendum with a convex portion having an addendum point proximal to a pitch line and a dedendum with a concave portion having a dedendum point proximal to the pitch line. The convex portion is complementary with a corresponding portion of a mating-gear basic-cutter tooth-profile dedendum. The concave portion is complementary with a corresponding portion of the mating-gear basic-cutter tooth-profile addendum. A transition zone between the addendum point and the dedendum point has a predetermined width. The gear basic-cutter tooth-profile has a predetermined half pitch relief at the pitch line and continuity of profile and continuity of slope at the addendum point.
Abstract:
The gears according to the present invention have a unique tooth-profile in which the radius of curvature repeatedly increases and decreases from the pitch line in the direction of addendum and deddendum of a tooth without monotonously changing, and at the point where the relative of curvature is minimum, the center of the radius of curvature is positioned on the pitch line. Specifically, the curvature of the tooth-profile curve is a function which is not monotonously varied, is continuous and is capable of being differentiated, and a locus of the center of curvature forms a series of continuous curves which exist near the pitch circle. Forming the tooth-profile thus enables the relative of curvature to be brought from the value in the involute gear near that of a Wildhaver-Novikov type, with the contact interval being more than one. Also, the operating pressure angle is decreased to prevent the increase in the surface pressure and the bearing stress, and the relative of curvature between the tooth-surfaces of the gears is maintained at a lower level than the conventional one, markedly increasing the strength of the tooth-profile. The present invention can also be applied to internal gears, bevel gear, etc.
Abstract:
A single-flank or double-flank type W-N gear each of the convex or concave tooth flanks of which is formed of a plurality of circular arcs (which participate in meshing engagement and) the centers of which (arcs) are arranged on the pitch line or in the vicinity thereof in spaced-apart relation to each other and an intermediate curved line or lines interconnecting the circular arcs. Meshing contact at any instant is obtained at different locations mutually spaced in the direction of tooth trace and stress concentration at the root of the teeth is minimized.
Abstract:
Novikov gearing obtains its exceptional tooth surface load capacity by using concave-convex circular arc profiles of nearly the same radii, so that the contact area between mating teeth is very large and the Hertzian stress low. Because the centers of these arcs are very close together, a small error in center-distance produces excessive changes in pressure angle and overloads the tips of the concave teeth. The subject invention eliminates this problem by using profile curves having a radius of curvature that increases with distance from the pitch circle. The discrete arc centers of Novikov gearing are replaced by continuous evolute curves which are positioned to be tangent to the pressure line near the point where it passes through the pitch point. This allows much closer profile conformity for a given center-distance error, reducing surface stresses and increasing torque capacity.