double-Bessel arc gear hob
Technical Field
The utility model relates to a gear hob is particularly useful for processing the gear hob of involute gear.
Background
For involute gears, particularly those used for heavy duty transmissions, the strength of the tooth root is often the primary factor that defines the transmission capacity, for example: in a wind power gear box planetary gear train, the strength of a planetary gear tooth root is often the weakest ring in torque transmission. Improving the root stress distribution can improve the load-carrying capacity of the product, and optimizing the gear root transition curve can effectively improve the root stress distribution.
In production, hobbing is most widely used. At present, hobbing cutters generally adopt full-arc structures, and gear tooth roots machined by the hobbing cutters are weak in strength.
SUMMERY OF THE UTILITY MODEL
In order to solve the not enough of prior art, the utility model provides a two Bessel arc hobbing cutter tool bit structures compares full circular arc hobbing cutter tool bit structure, and this hobbing cutter structure can produce bigger hobbing cutter addendum radius of curvature. The utility model discloses a hobbing cutter profile of tooth structure can effectively improve the camber distribution on the excessive curve of tooth root of its conjugate profile of tooth, increases the excessive curved curvature radius of tooth root, reduces the tooth root maximum stress, improves involute gear tooth root intensity.
In order to achieve the above object, the utility model adopts the following scheme:
a double bezier arc gear hob comprising: a plurality of hob teeth; the tooth profile contour line of the hob tooth includes: the first tooth root straight line, the first main cutting straight line, the first auxiliary cutting straight line, the first tooth top curve, the second auxiliary cutting straight line, the second main cutting straight line and the second tooth root straight line are connected in sequence.
The first addendum curve is connected to the first minor cutting line and tangent at the connection point; the second crest curve is connected with the second secondary cutting straight line and is tangent at the connecting point; the first addendum curve and the second addendum curve are both third-order Bezier curves, and the first addendum curve is defined with a first starting point, a first terminal point, a first upper control point and a first lower control point; the second crest curve defines a second starting point, a second ending point, a second upper control point, and a second lower control point.
The first tooth crest curve and the second tooth crest curve are connected and tangent at a connecting point; the first end point and the second end point are coincided to form a connecting point of a first tooth crest curve and a second tooth crest curve; the connecting line of the first lower control point and the first terminal point and the connecting line of the second lower control point and the second terminal point are positioned on the same straight line; a connecting line of the first starting point and the first upper control point is positioned on an extension line of the first auxiliary cutting straight line and is connected with the first auxiliary cutting straight line; and a connecting line of the second starting point and the second upper control point is positioned on an extension line of the second secondary cutting straight line and is connected with the second secondary cutting straight line.
Furthermore, a symmetrical line is defined by the hob teeth; the first minor cutting line, the first major cutting line, and the first root line are symmetrical to the second minor cutting line, the second major cutting line, and the second root line about the symmetry line.
Further, a tangent of the first addendum curve passing through a connecting point of the first addendum curve and the second addendum curve is perpendicular to the symmetry line.
Further, a connection point of the first addendum curve and the second addendum curve is located on one side of the symmetry line.
Further, the connecting point of the first addendum curve and the second addendum curve is located on the symmetry line.
Further, the first addendum curve and the second addendum curve are symmetrical with respect to the symmetry line.
Further, the connecting line of the first lower control point and the second lower control point is perpendicular to the symmetry line.
Further, a connection point of the first addendum curve and the second addendum curve is located on a connection line of the first lower control point and the second lower control point.
The utility model discloses an useful part lies in, adopts two Bessel arc hobbing cutter profile of tooth structures, compares full circular arc hobbing cutter profile of tooth structure, can produce bigger hobbing cutter addendum circular arc, can effectively improve the camber distribution on the excessive curve of tooth root, increases the excessive curved curvature radius in tooth root, reduces tooth root maximum stress, improves involute gear tooth root intensity.
Drawings
Fig. 1 is a schematic diagram of the tooth profile contour line of the hob teeth of the double bezier arc gear hob of the present invention.
The hob tooth 100, the line of symmetry 101, the first dedendum straight line AB, the first main cutting straight line BC, the first minor cutting straight line CD, the first addendum curve DE, the second addendum curve D ' E, the second minor cutting straight line C ' D ', the second main cutting straight line B ' C ', and the second dedendum straight line a ' B '.
Detailed Description
The present invention will be described in detail with reference to the accompanying drawings and specific embodiments.
As shown in fig. 1, a double bezier arc gear hob includes: a plurality of cutter teeth 100.
The tooth profile contour of the hob tooth 100 includes: a first tooth root straight line AB, a first main cutting straight line BC, a first auxiliary cutting straight line CD, a first tooth top curve DE, a second tooth top curve D ' E, a second auxiliary cutting straight line C ' D ', a second main cutting straight line B ' C ' and a second tooth root straight line a ' B ' which are connected in sequence.
The first addendum curve DE is connected to the first minor cutting line CD and tangent thereto at a connection point. Specifically, the first addendum curve DE and the first sub-cutting straight line CD are connected at a point D, which is a tangent point of the first addendum curve DE and the first sub-cutting straight line CD.
The second crest curve D ' E and the second secondary cutting straight line C ' D ' are connected and tangent at the connection point. Specifically, the second crest curve D ' E and the second secondary cutting straight line C ' D ' are connected at a point D ' which is a tangent point of the second crest curve D ' E and the second secondary cutting straight line C ' D '.
The first addendum curve DE and the second addendum curve D' E are both third-order bezier curves. The third order bezier curve includes a start point, an end point, and two control points. Specifically, the first addendum curve DE defines a first start point D, a first end point E, a first upper control point F1, and a first lower control point F2. The second crest curve D 'E defines a second starting point D', a second ending point E, a second upper control point G1, and a second lower control point G2.
The first addendum curve DE and the second addendum curve D' E are connected and tangent at a connection point. Specifically, the first addendum curve DE and the second addendum curve D' E are connected at a point D, and the tangent point is the point D. The first end point E and the second end point E coincide with each other as a connection point E of the first addendum curve DE and the second addendum curve D' E.
A line connecting the first lower control point F2 and the first end point E is located on the same straight line as a line connecting the second lower control point G2 and the second end point E.
A connecting line of the first starting point D and the first upper control point F1 is located on an extension of the first minor cutting line CD and is connected to the first minor cutting line CD. A line connecting the second starting point D ' and the second upper control point G1 is located on an extension line of the second sub-cutting straight line C ' D ' and connected to the second sub-cutting straight line C ' D '.
In one embodiment, the hob teeth 100 define a line of symmetry 101. The first minor cutting straight line CD, the first major cutting straight line BC, and the first root straight line AB are symmetrical to the second minor cutting straight line C 'D', the second major cutting straight line B 'C', and the second root straight line a 'B' with respect to the symmetry line 101.
A tangent of the first addendum curve DE passing through the connection point E of the first addendum curve DE and the second addendum curve D' E is perpendicular to the symmetry line 101. Point E is located on line segment FG.
As a specific embodiment, the line connecting the first lower control point F2 and the second lower control point G2 is perpendicular to the line of symmetry 101. A connection point E of the first addendum curve DE and the second addendum curve D' E is located on a line connecting the first lower control point F2 and the second lower control point G2.
As a specific embodiment, the connection point of the first addendum curve DE and the second addendum curve D' E is located on one side of the symmetry line 101. The strength of the conjugate tooth profile unilateral wing root can be emphatically enhanced.
As an alternative embodiment, the point of connection of the first tooth tip curve and the second tooth tip curve lies on the line of symmetry. The strength of the tooth roots on both sides of the conjugate tooth profile is strengthened to the same degree. Further, the first addendum curve and the second addendum curve are symmetrical with respect to the symmetry line. The shape of both sides of the conjugate tooth shape is completely the same.
Adopt two Bessel arc hobbing cutter profile of tooth structures, compare full circular arc hobbing cutter profile of tooth structure, can produce bigger hobbing cutter addendum circular arc, can effectively improve the camber distribution on the excessive curve of tooth root, increase the excessive curved curvature radius of tooth root, reduce tooth root maximum stress, improve involute gear tooth root intensity.
The foregoing illustrates and describes the principles, general features, and advantages of the present invention. It should be understood by those skilled in the art that the above embodiments do not limit the present invention in any way, and all technical solutions obtained by adopting equivalent replacement or equivalent transformation fall within the protection scope of the present invention.