CN102278453A - Modeling method for straight cone gear - Google Patents

Abstract

The invention modeling method for a straight cone gear, and the method comprises the following steps: (1) creating parameterized modules of tooth profile curve by using a computer; under the circumstances of components, finishing the curved surface of the gear tooth surface through a group of tooth profile curves or cloud points; (2) under the circumstances of components, creating an entity of a gear tooth; (3) under the circumstances of components, creating an entity of a tooth root cone; (4) under the circumstances of components, annularly arraying the entity of the gear tooth; (5) merging the entity of the gear tooth with the tooth root cone and obtaining an intact virtual three-dimensional gear which emulates a real one through repairing. The modeling method for the straight cone gear provided by the invention is common, simple and easy to learn; and the method is suitable for creating three-dimensional entity models of different straight cone gears.

Description

A kind of modeling method that is used for spur bevel gear

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 spur bevel gear modeling.

Background technique

Spur bevel gear is that mechanical field is used to transmit one of parallel axes motion and the most basic part of power, is widely used in various machinery 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, manufacturing, analysis and direction of measurement development of gear.Carry out computer-aided design, the 3-D geometric model that at first needs a gear, the modeling method of at present common spur bevel gear 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 other dissimilar spur bevel gear, the method for for example building the model of spherical involute spur bevel gear just can not be applicable to the modeling of the cone gear of plane spade cutter cutting.In addition, every pair of dissimilar spur bevel gear carries out modeling, all need specific requirement according to reality, carry out concrete three-dimensional modeling, this just requires the artificer to have the professional knowledge of very high gear and software aspect, work is complicated loaded down with trivial details, is difficult for grasping, therefore urgent a kind of easy gear three-dimensional modeling method of unifying.

Summary of the invention

Technical problem to be solved by this invention provides a kind of modeling method of general spur bevel gear easy to learn, is applicable to the construction of the three-dimensional entity model of various different spur bevel gears.

Technological scheme

A kind of modeling method that is used for spur bevel gear comprises the steps:

(1) creates the tooth curve parameterized module with computer, under the parts environment, finish gear teeth flank of tooth curved surface;

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

(3) under the parts environment, create the entity of Gear Root circular cone;

(4) under the parts environment, annular array gear teeth entity;

(5) entity of merging gear teeth entity and Gear Root circular cone promptly gets complete virtual three-dimensional gear artificial physical by finishing;

Described step (1) active computer is created the tooth curve parameterized module, and under the part environment, when finishing the sealing sketch of gear teeth, wherein gear teeth sealing sketch selects for use following parametric equation to finish:

z＝u-lsinβsinλ

Wherein

$\sin (\mathrm{\λ}-\mathrm{\δ})=\frac{l\cos \mathrm{\δ}}{u\sin \mathrm{\β}},$

r＝utanδ，

The abscissa of any on the x-flank of tooth; The y coordinate of any on the y-flank of tooth;

The axial coordinate of any on the z-flank of tooth; R-gear pitch cone circle cross-section Pitch radius;

δ-gear pitch cone angle; The l-normal for tooth surface is long;

β-normal for tooth surface direction angle; λ-intermediate variable, 0≤λ≤2 π;

-basic parameter; The basic parameter of u-.

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 a kind of three-dimensional entity model modeling method of spur bevel gear is provided.Can obtain different direction angle functions for spur bevel gear, and then try to achieve on the tooth surface right angled coordinates of any arbitrarily, construct tooth surface.The top circle of gear and root circle all are the isometric circles of pitch circle, can be suitable for for different spur bevel gears.This method can be applicable to the d solid modeling of various spur bevel gears, 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, can truly reflect spur bevel gear flank of tooth profile, and can provide the precise coordinates parameter for the high-quality spur bevel gear of digital control processing, also be that the research of the aspects such as spur bevel gear mechanical property research of various complexity lays a good foundation.

Description of drawings

Accompanying drawing 1 is a kind of standard sphere of the present invention Involute Straight-teeth Bevel Gear gear teeth flank of tooth curved surface schematic representation.

Accompanying drawing 2 is the entity schematic representation of a kind of standard sphere of the present invention Involute Straight-teeth Bevel Gear gear teeth.

Accompanying drawing 3 is a kind of standard sphere of the present invention Involute Straight-teeth Bevel Gear entity schematic representation.

Embodiment

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

A kind of modeling method of standard sphere Involute Straight-teeth Bevel Gear, the step that it comprises has:

(1) create the tooth curve parameterized module, select for use following parametric equation to finish the drafting of gear teeth flank of tooth curved surface:

z＝u-lsinβsinλ

Wherein,

$\sin (\mathrm{\λ}-\mathrm{\δ})=\frac{l\cos \mathrm{\δ}}{u\sin \mathrm{\β}},$

r＝utanδ，

The abscissa of any on the x-flank of tooth; The y coordinate of any on the y-flank of tooth;

The axial coordinate of any on the z-flank of tooth; R-gear pitch cone circle cross-section Pitch radius;

δ-gear pitch cone angle; The l-normal for tooth surface is long;

β-normal for tooth surface direction angle; λ-intermediate variable, 0≤λ≤2 π;

-basic parameter; The basic parameter of u-.

With the manual input of this tooth curve parametric equation, perhaps, get with language programming and as macroprogram

Sin δ _b=cos α ₀Sin δ, r=utan δ, δ _b=20 ⁰, α ₀=20 ⁰, δ _bBe the cone generating angle of gear, α ₀Be pressure angle, the number of teeth is 18, and holding modulus greatly is 2, and pitch cone angle is 30 ⁰, move this program, and intercepting, finishing obtain figure as shown in Figure 1;

(2) under the parts environment, according to the entity of gear teeth of step (1) gained gear teeth establishment, as shown in Figure 2;

(3) under the parts environment, create the entity of Gear Root circular cone according to step (1) gained gear teeth flank of tooth curved surface;

(4) under the parts environment, annular array gear teeth entity;

(5) entity of merging gear teeth entity and Gear Root circular cone promptly gets complete virtual three-dimensional standard Involute Straight-teeth Bevel Gear artificial physical by finishing, as shown in Figure 3;

Gear teeth flank of tooth curved surface 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.

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

Claims (3)

1. a modeling method that is used for spur bevel gear comprises the steps:

(1) creates the tooth curve parameterized module with computer, under the parts environment, finish a gear teeth flank of tooth curved surface by tooth curve group or cloud point;

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

(3) under the parts environment, create the entity of Gear Root circular cone;

(4) under the parts environment, annular array gear teeth entity;

(5) entity of merging gear teeth entity and Gear Root circular cone promptly gets complete virtual three-dimensional gear artificial physical by finishing;

It is characterized in that: described step (1) active computer is created the tooth curve parameterized module, finishes a gear teeth flank of tooth curved surface by tooth curve group or cloud point, selects for use following parametric equation to finish:

z＝u-lsinβsinλ

Wherein,

$\sin (\mathrm{\λ}-\mathrm{\δ})=\frac{l\cos \mathrm{\δ}}{u\sin \mathrm{\β}},$

r＝utanδ，

The abscissa of any on the x-flank of tooth; The y coordinate of any on the y-flank of tooth;

The axial coordinate of any on the z-flank of tooth; R-gear pitch cone circle cross-section Pitch radius;

δ-gear pitch cone angle; The l-normal for tooth surface is long;

β-normal for tooth surface direction angle; λ-intermediate variable, 0≤λ≤2 π;

-basic parameter; The basic parameter of u-.

2. a kind of modeling method that is used for spur bevel gear as claimed in claim 1, it is characterized in that: the gear teeth flank of tooth curved surface 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.

3. a kind of modeling method that is used for spur bevel gear 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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