CN204584456U - A kind of new gear process tool - Google Patents

Abstract

The utility model discloses a kind of new gear process tool, comprise cutter hub and blade, this gear cutting tool is used for processing mutual conjugation and convex-concave arc meshed gears is secondary; Edge curve is the one in curve corresponding to the Taylor expansion of sine curve and SIN function, the tooth curve of the tip portion of this gear cutting tool is convex, the tooth curve of the root portions of gear cutting tool is spill, with the intersection point of edge curve and cutter reticule for initial point sets up coordinate system O ₁x ₁y ₁, and this coordinate system O ₁x ₁y ₁x ₁axle overlaps with cutter reticule; By coordinate system O ₁x ₁y ₁with initial point O ₁centered by be rotated counterclockwise β angle, β value is 60 ° to 80 °, thus obtains edge curve mode, and final design goes out cutter.The utility model can be used for processing the convex-concave arc engaging tooth wheel set transmitting larger or larger load, and Gear Contact fatigue strength is improved.The utility model also can be used in the Tool Design of the gear with little teeth number of the processing number of teeth less (z≤6), and the gear processed comparatively involute improves 20%-30%.

Description

A kind of new gear process tool

Technical field

The utility model belongs to Design of Gear Cutting Tools technical field, particularly relates to a kind of design of processing novel Tooth Profile Gears cutter.

Background technology

What the tooth curve commonly using gear adopted is involute, and when adopting rack cutter or hobboing cutter machining gears, shaft section blade is straight line in theory.This cutter has design, processes the advantages such as simple, is widely adopted in actual applications.But the involute gear bearing capacity that this rectilinear edge processes is limited, in the transmission occasion that some are special, time as less in the gear number of teeth, requirement of strength can not be met.At present, also have the double circular arc tooth outline gear strong compared with involute gear bearing capacity, but Novikov gears with double circular arc tooth profiles need run and after could meet conjugation engagement.

Therefore, how to design and can go out to meet larger or larger bearing capacity with a tool sharpening, conjugation meshed gears pair can be met again and annoying researcher in the industry all the time.

Utility model content

For the problems referred to above, the purpose of this utility model is, a kind of new gear process tool is provided, edge curve adopts sinusoidal rack cutter or hobboing cutter machining gears, a pair gear of the mutual conjugation of energy and the engagement of convex-concave arc can be processed, to meet the requirement of the larger or larger bearing capacity of gear with a rack cutter or hobboing cutter.

In order to solve the problems of the technologies described above, a kind of new gear process tool that the utility model proposes, comprises cutter hub and blade, and this gear cutting tool is used for processing mutual conjugation and convex-concave arc meshed gears is secondary; Edge curve is the one in curve corresponding to the Taylor expansion of sine curve and SIN function, the tooth curve of the tip portion of this gear cutting tool is convex, the tooth curve of the root portions of this gear cutting tool is spill, with the intersection point of edge curve and cutter reticule for initial point sets up coordinate system O ₁x ₁y ₁, and this coordinate system O ₁x ₁y ₁x ₁axle overlaps with cutter reticule; By coordinate system O ₁x ₁y ₁with initial point O ₁centered by be rotated counterclockwise β angle, β value is 60 ° to 80 °, thus obtains edge curve place coordinate system O ₀x ₀y ₀, edge curve equation is one of following formula (1) or formula (2):

$\left\{\begin{array}{c}{x}_0=t\\ y_0=\mathrm{\λ}\sin \left(\mathrm{\ωt}\right)\end{array}\right.(-\mathrm{\π}/\mathrm{\ω}\≤t\≤\mathrm{\π}/\mathrm{\ω})---\left(1\right)$

$\left\{\begin{array}{c}{x}_0=t\\ y_0=\mathrm{\λ}\underset{k=0}{\overset{\∞}{\mathrm{\Σ}}}\frac{{(-1)}^k}{(2k+1)!}{\left(\mathrm{\ωt}\right)}^{2k+1}\end{array}\right.(-\mathrm{\π}/\mathrm{\ω}\≤t\≤\mathrm{\π}/\mathrm{\ω})---\left(2\right)$

In formula (1) and formula (2), λ is derivative coefficient, this derivative coefficient for determining the convex-concave degree of edge curve, for addendum coefficient, m is modulus.

Further, blade side curve is obtained at coordinate system O by coordinate transform ₁x ₁y ₁expression formula be:

$\left\{\begin{array}{c}{x}_1=x_0\sin \mathrm{\α}-y_0\cos \mathrm{\α}\\ y_1=x_0\cos \mathrm{\α}+y_0\sin \mathrm{\α}\end{array}\right.---\left(3\right)$

The opposite side curve representation formula of blade is:

$\left\{\begin{array}{c}{x}_2={-x}_0\sin \mathrm{\α}+y_0\cos \mathrm{\α}+\mathrm{\πm}/2\\ y_2=x_0\cos \mathrm{\α}+y_0\sin \mathrm{\α}\end{array}\right.---\left(4\right)$

Formula (3), formula (4) curve obtained through translation transformation whole edge curves of cutter.

Compared with prior art, the beneficial effects of the utility model are:

(1) the utility model tool sharpening its flank profil pair of gear pair is out used to be concavo-convex engagement, in gear size identical with material or close to, its bearing capacity can be 1.2 to 3 times of traditional involute gear, therefore, is suitable for use in the occasion of the larger load of transmission.

(2) edge curve of cutter that the utility model is designed has some characteristics of bicircular arcs rack cutter or hobboing cutter, but comparatively bicircular arcs rack cutter or hobboing cutter more easily design, process, and overcome the transmission Novikov gears with double circular arc tooth profiles that processes with prior art bicircular arcs rack cutter or hobboing cutter need to run and after could the shortcoming of correct conjugation engagement.

(3) the utility model cutter also can be used on the gear with little teeth number of the processing number of teeth less (z≤6), and the gear processed can improve 20%-30% compared with the bearing capacity of involute gear.

(4) a kind of special circumstances that the rack cutter of involute gear or hobboing cutter are the utility model cutter in addition, are processed.

Accompanying drawing explanation

Fig. 1 is the utility model embodiment 1 rack cutter schematic diagram;

Fig. 2 is the utility model embodiment 2 gear hob schematic diagram;

Fig. 3 is the tooth curve schematic diagram utilizing embodiment 1 rack cutter to process;

Fig. 4 is the gear schematic diagram utilizing embodiment 1 rack cutter to process;

Detailed description of the invention

Below in conjunction with drawings and Examples, the utility model is described in detail, but not as to any restriction of the present utility model.The utility model is the convex-concave gear with curved teeth utilizing the gear cutting tool shown in Fig. 1 or Fig. 2 to process a pair mutual conjugation engagement of energy, ordinary gear parameter can be chosen during design, such as: the number of teeth, modulus and pressure angle etc., in addition, specific derivative coefficient lambda in the utility model will also be chosen.

As depicted in figs. 1 and 2, a kind of new gear process tool of the utility model, comprise cutter hub and blade, this gear cutting tool is used for processing mutual conjugation and convex-concave arc meshed gears is secondary; Edge curve is the one in curve corresponding to the Taylor expansion of sine curve and SIN function, the tooth curve of the tip portion of this cutter for gear wheel is convex, the tooth curve of the root portions of cutter for gear wheel is spill, with the intersection point of edge curve and cutter reticule for initial point sets up coordinate system O ₁x ₁y ₁, and this coordinate system O ₁x ₁y ₁x ₁axle overlaps with cutter reticule; By coordinate system O ₁x ₁y ₁with initial point O ₁centered by be rotated counterclockwise β angle, β value is 60 ° to 80 °, thus obtains edge curve place coordinate system O ₀x ₀y ₀, edge curve equation is following formula (1), one of formula (2) and formula (3):

$\left\{\begin{array}{c}{x}_0=t\\ y_0=\mathrm{\λ}\sin \left(\mathrm{\ωt}\right)\end{array}\right.(-\mathrm{\π}/\mathrm{\ω}\≤t\≤\mathrm{\π}/\mathrm{\ω})---\left(1\right)$

$\left\{\begin{array}{c}{x}_0=t\\ y_0=\mathrm{\λ}\underset{k=0}{\overset{\∞}{\mathrm{\Σ}}}\frac{{(-1)}^k}{(2k+1)!}{\left(\mathrm{\ωt}\right)}^{2k+1}\end{array}\right.(-\mathrm{\π}/\mathrm{\ω}\≤t\≤\mathrm{\π}/\mathrm{\ω})---\left(2\right)$

In formula (1) and formula (2), λ is derivative coefficient, this derivative coefficient for determining the convex-concave degree of edge curve, for addendum coefficient, m is modulus.

Blade side curve is obtained at coordinate system O by coordinate transform ₁x ₁y ₁expression formula be:

$\left\{\begin{array}{c}{x}_1=x_0\sin \mathrm{\α}-y_0\cos \mathrm{\α}\\ y_1=x_0\cos \mathrm{\α}+y_0\sin \mathrm{\α}\end{array}\right.---\left(3\right)$

The opposite side curve representation formula of blade is:

$\left\{\begin{array}{c}{x}_2={-x}_0\sin \mathrm{\α}+y_0\cos \mathrm{\α}+\mathrm{\πm}/2\\ y_2=x_0\cos \mathrm{\α}+y_0\sin \mathrm{\α}\end{array}\right.---\left(4\right)$

Formula (3), formula (4) curve obtained through translation transformation whole edge curves of cutter.

Embodiment 1: rack cutter

In the present embodiment, module m=1.75, derivative coefficient lambda=0.18, α=28 °, addendum coefficient tip clearance coefficient c ^*=0.25.O in Fig. 1 ₁x ₁y ₁for tooth bar coordinate system, O ₀x ₀y ₀for O ₁x ₁y ₁rotate the coordinate system obtained behind β angle, under this coordinate system, the blade ab section of rack cutter to be Initial phase be 0 sine curve, bc is the straight line tangent with b point, parameter m, c ^*be respectively module, addendum coefficient and tip clearance coefficient, λ is derivative coefficient, and the value of λ can control the amplitude of the convex-concave arc of processed gear profile.Above-mentioned parameter is substituted into formula (1), formula (3) and formula (4), finally obtain the edge curve of the present embodiment rack cutter, with this rack cutter can process can each other conjugation and convex-concave engagement a pair gear, Fig. 3 shows the gear-profile curve processed with this rack cutter, and Fig. 4 shows processed gear-profile.

Embodiment 2, gear hob

Body portion designs identical with general hobboing cutter, unlike the edge curve of shaft section, the design and implementation example 1 of its shaft section edge curve is substantially identical, difference is only, derivative coefficient m=1.5, λ=0.10, α=20 °, above-mentioned parameter is substituted into formula (2), formula (3) and formula (4), finally obtain the edge curve of the present embodiment rack cutter, with this, one hobboing cutter can be processed can mutually conjugation and a pair gear of convex-concave engagement, and hobboing cutter is the same with the principle of rack cutter machining gears, therefore repeats no more and provide gear-profile figure.

Although be described the utility model by reference to the accompanying drawings above; but the utility model is not limited to above-mentioned detailed description of the invention; above-mentioned detailed description of the invention is only schematic; instead of it is restrictive; those of ordinary skill in the art is under enlightenment of the present utility model; when not departing from the utility model aim, can also make and much be out of shape cutter tooth-profile, these all belong within protection of the present utility model.

Claims (2)

1. a new gear process tool, comprises cutter hub and blade, it is characterized in that: this gear cutting tool is used for processing mutual conjugation and convex-concave arc meshed gears is secondary; Edge curve is the one in curve corresponding to the Taylor expansion of sine curve and SIN function, the tooth curve of the tip portion of this gear cutting tool is convex, the tooth curve of the root portions of this gear cutting tool is spill, with the intersection point of edge curve and cutter reticule for initial point sets up coordinate system O ₁x ₁y ₁, and this coordinate system O ₁x ₁y ₁x ₁axle overlaps with cutter reticule; By coordinate system O ₁x ₁y ₁with initial point O ₁centered by be rotated counterclockwise β angle, β value is 60 ° to 80 °, thus obtains edge curve place coordinate system O ₀x ₀y ₀, edge curve equation is one of following formula (1) or formula (2):

In formula (1) and formula (2), λ is derivative coefficient, this derivative coefficient for determining the convex-concave degree of edge curve, for addendum coefficient, m is modulus.

2. new gear process tool according to claim 1, is characterized in that, obtain blade side curve at coordinate system O by coordinate transform ₁x ₁y ₁expression formula be:

The opposite side curve representation formula of blade is:

Formula (3), formula (4) curve obtained through translation transformation whole edge curves of cutter.