CN102262696A - Modeling method for cylindrical gear of straight tooth or helical tooth - Google Patents

Abstract

The invention provides a modeling method for a cylindrical gear of a straight tooth or helical tooth, comprising the following steps: (1) using a computer to create a tooth profile curve parameterization sketch module and finishing a sealing sketch and a dedendum circle sketch of a gear tooth; (2) creating an entity of the gear tooth in a component environment; (3) creating an entity of a dedendum circle cylinder in the component environment; (4) taking the entity of the dedendum circle cylinder as an entity of a reference annular array gear tooth; and (5) combining the entity of the gear tooth with the entity of the dedendum circuit cylinder, and finishing to obtain an integrated simulation entity of a virtual three-dimensional gear. The common modeling method for the cylindrical gear of the straight tooth or helical tooth provided by the invention is simple and easy to learn, is suitable for modeling three-dimensional entity models for the various cylindrical gears of the different straight teeth or helical teeth.

Description

A kind of modeling method that is used for the cylindrical gear of straight-tooth or helical teeth

Technical field

The present invention relates to a kind of modeling method of driving parts, particularly a kind of method of utilizing the powerful secondary development function realization of computer drawing software to the cylindrical gear modeling of straight-tooth or helical teeth.

Background technology

The cylindrical gear of straight-tooth or helical teeth is that mechanical field is used to transmit one of parallel shafts motion and the most basic part of power, is widely used in various plant equipment such as mine, metallurgy, building and transportation.Along with the high speed development of computer technology, the manufacturing and designing towards by computer-aided design (CAD), manufacturing, analysis and direction of measurement development of gear.Carry out computer-aided design (CAD), the 3-D geometric model that at first needs a gear, the modeling method of the at present common straight-tooth or the cylindrical gear of helical teeth is mainly utilized existing large scale business software or large scale business software is carried out secondary development finish, this modeling pattern need be carried out loaded down with trivial details mathematical computations, and each modeling can only be set up model for the gear of certain single particular type, the construction model that can not be used for the cylindrical gear of other dissimilar straight-tooth or helical teeth, the method for model of for example building the cylindrical gear of involute urve straight-tooth or helical teeth just can not be applicable to the modeling to the cylindrical gear of cycloid straight-tooth or helical teeth.In addition, the cylindrical gear of the every pair of dissimilar straight-tooth or helical teeth carries out modeling, all needs the specific requirement according to reality, carry out concrete three-dimensional modeling, this just requires the deviser to have the professional knowledge of very high gear and software aspect, and work is complicated loaded down with trivial details, is difficult for grasping.So urgent a kind of easy gear three-dimensional modeling method of unifying.

Summary of the invention

Technical matters to be solved by this invention provides a kind of general straight-tooth easy to learn or the modeling method of helical gears, is applicable to the construction of three-dimensional entity model of the cylindrical gear of various different straight-tooth or helical teeth.

Technical scheme

A kind of modeling method that is used for the cylindrical gear of straight-tooth or helical teeth comprises the steps:

(1) creates tooth curve parametric sketch module with computing machine, finish the sealing sketch and the dedendum circle sketch of gear teeth;

(2) under the parts environment, create the entity of gear teeth;

(3) under the parts environment, create the entity of dedendum circle cylinder;

(4) be benchmark annular array gear teeth entities with the dedendum circle cylindrical solid;

(5) merge gear teeth entity and gear root cylindrical solid, promptly get complete virtual three-dimensional gear artificial physical by finishing;

It is characterized in that: described step (1) active computer is created tooth curve parametric sketch module, and when finishing the sealing sketch of gear teeth and dedendum circle sketch, the sealing sketch of one of them gear teeth selects for use following parametric equation to finish:

z＝u+lcosγ

Simultaneously

cosγ＝tanβcosα，

$\cos \mathrm{\λ}=\frac{\cos \mathrm{\α}}{\sin \mathrm{\γ}},$

$u=\frac{r}{\tan \mathrm{\β}}\mathrm{\θ},$

The horizontal ordinate of any on the x-flank of tooth; The ordinate of any on the y-flank of tooth;

The axial coordinate of any on the z-flank of tooth; R-is the pitch circle radius;

The l-normal for tooth surface is long; The deflection of α-normal for tooth surface, 0≤α≤π;

The deflection of γ-normal for tooth surface, 0≤γ≤π; β-be helical gear helix angle;

λ-intermediate variable, 0≤λ≤2 π; τ-intermediate variable;

-basic parameter; θ-basic parameter;

The basic parameter of u-.

In the said method, work as β=0 in the described parametric equation, λ=alpha, gamma=pi/2,

And the profile of tooth that obtains during u=z is a straight-tooth.

In the said method, gear teeth sealing sketch in the described step (1) can be finished by the manual input of tooth curve parametric equation, intercepting, finishing, also can be the tooth curve parametric equation with language programming and as macroprogram, move the sealing sketch that this program obtains the gear teeth, and intercept, repair and finish.

In the said method, described step (2), (3), (4), (5) can use a series of boolean calculation orders to finish.

Beneficial effect

The present invention combines modern computer Aided Design and traditional mechanical processing industry, and the three-dimensional entity model modeling method of the cylindrical gear of a kind of straight-tooth or helical teeth is provided.Gear for straight-tooth or helical teeth can obtain different deflection functions, and then tries to achieve on the tooth surface rectangular coordinate of any arbitrarily, constructs tooth surface.The point circle of gear and dedendum circle all are the isometric circles of pitch circle, can be suitable for for the gear of different straight-tooth or helical teeth.This method can be applicable to the d solid modeling of the cylindrical gear of various straight-tooth or helical teeth, easy to learn, not needing advanced gear and computer software knowledge just can grasp, and it is very accurate to create the gear tooth sketch with the parametrization equation, the Cylindrical Gears profile that can truly reflect straight-tooth or helical teeth, and can provide the precise coordinates parameter for the high-quality straight-tooth of digital control processing and helical gears, also the research for the aspects such as cylindrical gear mechanical property research of the straight-tooth of various complexity or helical teeth lays a good foundation.

Description of drawings

Accompanying drawing 1 is the first embodiment of the invention gear teeth and dedendum circle sketch.

Accompanying drawing 2 is the entity synoptic diagram of the first embodiment of the invention gear teeth.

Accompanying drawing 3 is the entity synoptic diagram of first embodiment of the invention dedendum circle cylinder.

Accompanying drawing 4 is a first embodiment of the invention array gear teeth entity synoptic diagram.

Accompanying drawing 5 is a first embodiment of the invention standard involute spur entity synoptic diagram.

Accompanying drawing 6 is the second embodiment of the invention gear teeth and dedendum circle sketch.

Accompanying drawing 7 is a second embodiment of the invention standard involute urve helical gears entity synoptic diagram.

Embodiment

Below in conjunction with the drawings and specific embodiments, further set forth the present invention.

The modeling method of a kind of standard involute spur of first embodiment of the invention, the step that it comprises has:

(1) create tooth curve parametric sketch module, select for use following parametric equation to finish the drafting of the sealing sketch of the gear teeth:

z＝u+lcosγ

Wherein,

cosγ＝tanβcosα，

$\cos \mathrm{\λ}=\frac{\cos \mathrm{\α}}{\sin \mathrm{\γ}},$

$u=\frac{r}{\tan \mathrm{\β}}\mathrm{\θ},$

Get α=λ=20 °, β=θ=0, γ=pi/2,

Simplify:

z＝u

The horizontal ordinate of any on the x-flank of tooth; The ordinate of any on the y-flank of tooth;

The axial coordinate of any on the z-flank of tooth; R-is the pitch circle radius;

The l-normal for tooth surface is long; The deflection of α-normal for tooth surface, 0≤α≤π;

The deflection of γ-normal for tooth surface, 0≤γ≤π; β-be helical gear helix angle;

λ-intermediate variable, 0≤λ≤2 π; τ-intermediate variable;

-basic parameter; θ-basic parameter;

The basic parameter of u-;

With the manual input of this tooth curve parametric equation, perhaps with language programming and as macroprogram, getting module here is 2, and the number of teeth is the sealing sketch dedendum circle sketch that 20 these programs of operation obtain the gear teeth, and intercepting, and finishing obtains figure as shown in Figure 1;

(2) under the part environment, finish the entity of creating gear teeth according to step (1) gained gear teeth sketch, as shown in Figure 2;

(3) under the part environment, finish the entity of creating the dedendum circle cylinder according to step (1) gained dedendum circle sketch, as shown in Figure 3;

(4) be benchmark annular array gear teeth entities with the dedendum circle cylindrical solid, as shown in Figure 4;

(5) merge gear teeth entity and root cylinder entity, finish finishing and promptly get complete virtual three-dimensional standard involute spur artificial physical, as shown in Figure 5.

Described step (2), (3), (4) (5) can use a series of boolean calculation orders to finish.

Another embodiment of this modeling method is the modeling method of standard involute urve helical gears, and the step that it comprises has:

(1) creating a standard involute urve helical gears tooth curve parametric sketch module, select for use following parametric equation to finish the drafting of the sealing sketch of the gear teeth:

z＝u+lcosγ

Wherein,

ctanγ＝tanβcosλ，

cosα＝sinγcosλ，

$\mathrm{\θ}=\frac{u\tan \mathrm{\β}}{r},$

The horizontal ordinate of any on the x-flank of tooth; The ordinate of any on the y-flank of tooth;

The axial coordinate of any on the z-flank of tooth; R-is the pitch circle radius;

The l-normal for tooth surface is long; The deflection of α-normal for tooth surface, 0≤α≤π;

The deflection of γ-normal for tooth surface, 0≤γ≤π; β-be helical gear helix angle;

λ-intermediate variable, 0≤λ≤2 π; τ-intermediate variable;

-basic parameter; θ-basic parameter;

The basic parameter of u-.

The manual input of this tooth curve parametric equation, perhaps with language programming and as macroprogram, get λ=20 °, β=10 °, basic parameter 0＜u＜20, normal module is 2, and the number of teeth is that 20 these programs of operation obtain the sealing sketch of the gear teeth, and intercepting, finishing obtain figure as shown in Figure 6.According to the step among first embodiment accompanying drawing 6 is passed through three-dimensional solid modelings then, promptly get complete virtual three-dimensional standard involute urve helical gears artificial physical Fig. 7 by finishing.

Claims (4)

1. a modeling method that is used for straight-tooth or helical gears comprises the steps:

(1) creates tooth curve parametric sketch module with computing machine, finish the sealing sketch and the dedendum circle sketch of gear teeth;

(2) under the parts environment, create the entity of gear teeth;

(3) under the parts environment, create the entity of dedendum circle cylinder;

(4) be benchmark annular array gear teeth entities with the dedendum circle cylindrical solid;

(5) merge gear teeth entity and gear root cylindrical solid, promptly get complete virtual three-dimensional gear artificial physical by finishing;

It is characterized in that: described step (1) active computer is created tooth curve parametric sketch module, and when finishing the sealing sketch of gear teeth and dedendum circle sketch, the sealing sketch of one of them gear teeth selects for use following parametric equation to finish:

z＝u+lcosγ

Wherein,

cosγ＝tanβcos?α，

$\cos \mathrm{\λ}=\frac{\cos \mathrm{\α}}{\sin \mathrm{\γ}},$

$u=\frac{r}{\tan \mathrm{\β}}\mathrm{\θ},$

The horizontal ordinate of any on the x-flank of tooth; The ordinate of any on the y-flank of tooth;

The axial coordinate of any on the z-flank of tooth; R-is the pitch circle radius;

The l-normal for tooth surface is long; The deflection of α-normal for tooth surface, 0≤α≤π;

The deflection of γ-normal for tooth surface, 0≤γ≤π; β-be helical gear helix angle;

λ-intermediate variable, 0≤λ≤2 π; τ-intermediate variable;

-basic parameter; θ-basic parameter;

The basic parameter of u-.

2. a kind of modeling method that is used for straight-tooth and helical gears as claimed in claim 1 is characterized in that: in the described parametric equation when β=0, λ=alpha, gamma=pi/2,

And the profile of tooth that obtains during u=z is a straight-tooth.

3. a kind of modeling method that is used for straight-tooth or helical gears as claimed in claim 1, it is characterized in that: the gear teeth sealing sketch in the described step (1) can be finished by the manual input of tooth curve parametric equation, intercepting, finishing, also can be the tooth curve parametric equation with language programming and as macroprogram, move the sealing sketch that this program obtains the gear teeth, and intercept, repair and finish.

4. a kind of modeling method that is used for the cylindrical gear of straight-tooth or helical teeth as claimed in claim 1 is characterized in that: described step (2), (3), (4), (5) can use a series of boolean calculation orders to finish.

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