CN102236738B - Method for modelling straight-toothed or helical non-cylindrical gear - Google Patents
Method for modelling straight-toothed or helical non-cylindrical gear Download PDFInfo
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- CN102236738B CN102236738B CN 201110203266 CN201110203266A CN102236738B CN 102236738 B CN102236738 B CN 102236738B CN 201110203266 CN201110203266 CN 201110203266 CN 201110203266 A CN201110203266 A CN 201110203266A CN 102236738 B CN102236738 B CN 102236738B
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Abstract
The invention discloses a method for modelling a straight-toothed or helical non-cylindrical gear, comprising the following steps of: (1) using a computer to establish a tooth profile curve parameterized module; performing a gear tooth surface curve through a gear profile curve set or a cloud point in a part environment; (2) establishing the entity of each gear tooth one by one in the part environment; (3) establishing a non-cylindrical entity of a gear tooth base in the part environment; and (4) mixing the gear tooth and the non-cylindrical entity of the gear tooth base; and finishing so as to obtain an integral virtual three-dimensional gear simulation entity. The invention provides a universal method for modelling straight-toothed and helical non-cylindrical gears, which is simple and easy to learn. The method is applicable for building the three-dimensional entity model of various types of different straight-toothed or helical non-cylindrical gears.
Description
Technical Field
The invention relates to a modeling method of a transmission part, in particular to a method for modeling a non-cylindrical gear with straight teeth or helical teeth by utilizing a powerful secondary development function of computer drawing software.
Background
The non-cylindrical gear with straight teeth or helical teeth is one of the most basic parts for transmitting parallel shaft motion and power in the mechanical field, and is widely applied to various mechanical equipment such as mines, metallurgy, buildings, transportation and the like. With the rapid development of computer technology, the design and manufacture of gears is moving towards computer aided design, manufacture, analysis and measurement. Computer aided design is carried out, firstly, a three-dimensional geometric model of a gear is needed, the conventional modeling method of the straight-tooth and helical-tooth non-cylindrical gear is mainly completed by utilizing the conventional large commercial software or carrying out secondary development on the large commercial software, the modeling mode needs to carry out complicated mathematical calculation, each modeling can only establish a model for a single specific type of gear, and the modeling method cannot be used for establishing models of other different types of straight-tooth and helical-tooth non-cylindrical gears, for example, an involute gear model cannot be used for a cycloid gear. In addition, each pair of non-cylindrical gears with different types of straight teeth or helical teeth is modeled, specific three-dimensional modeling is required according to actual specific requirements, so that a designer is required to have high professional knowledge on the aspects of gears and software, the work is complex and tedious, and the method is not easy to master, and therefore, the unified and simple gear three-dimensional modeling method is urgent.
Disclosure of Invention
The invention aims to solve the technical problem of providing a universal, simple and easy-to-learn modeling method for a straight-tooth or helical-tooth non-cylindrical gear, which is suitable for building three-dimensional solid models of various different straight-tooth or helical-tooth non-cylindrical gears.
Technical scheme
A modeling method for a non-cylindrical gear with straight or helical teeth, comprising the steps of:
(1) establishing a tooth profile curve parameterization module by using a computer, and establishing tooth surface curved surfaces of each tooth through curve groups or cloud points one by one in a component environment;
(2) under the environment of the component, entities of each gear tooth are created one by one;
(3) creating a gear root non-cylindrical solid in a component environment;
(4) combining the gear teeth and the gear tooth root non-cylindrical entity, and finishing to obtain a complete virtual three-dimensional gear simulation entity;
the method is characterized in that: the step (1) is implemented by creating a tooth profile curve parameterization module by a computer, completing a tooth surface curve of the gear tooth through a tooth profile curve group or cloud points and selecting the following parameter equation:
z＝u+lcosγ
wherein,
cosγ＝tanβcosα，
in the above method, in the step (1), when β is 0, λ is α, θ is 0, γ is pi/2, and u is z, the tooth profile is straight teeth.
In the method, the tooth surface curved surface of the gear tooth in the step (1) is manually input, intercepted and finished through a tooth profile curve parameter equation, or the tooth profile curve parameter equation is programmed by a computer language and used as a macro program, the program is operated to obtain a closed sketch of the gear tooth, and the interception and finishing are finished.
In the above method, the steps (2), (3) and (4) are completed by a series of Boolean logic operation commands. Advantageous effects
The invention combines the modern computer aided design and the traditional machining industry and provides a three-dimensional solid model modeling method for a non-cylindrical gear with straight teeth or helical teeth. Different direction angle functions can be obtained for the non-cylindrical gear with straight teeth or helical teeth, and then the rectangular coordinate of any point on the tooth-shaped curved surface is obtained, so that the tooth-shaped curved surface is constructed. The addendum curve and the dedendum curve are equidistant lines of pitch curves, and the method can be applied to different straight-tooth or helical-tooth non-cylindrical gears. The method can be suitable for three-dimensional solid modeling of various straight-tooth or helical-tooth non-cylindrical gears, is simple and easy to learn, can be mastered without high-depth gear and computer software knowledge, can create a gear tooth sketch accurately by using a parameterized equation, can truly reflect the tooth surface profile of the straight-tooth or helical-tooth non-cylindrical gears, can provide accurate coordinate parameters for numerical control processing of high-quality straight-tooth or helical-tooth non-cylindrical gears, and lays a good foundation for research on mechanical properties of various complex straight-tooth or helical-tooth non-cylindrical gears and the like.
Drawings
FIG. 1 is a schematic view of a first embodiment of the present invention of an involute oval spur gear tooth surface curve.
FIG. 2 is a schematic physical representation of involute oval spur gear teeth of a first embodiment of the present invention.
FIG. 3 is a schematic view of a first embodiment of the involute oval spur gear in accordance with the present invention.
FIG. 4 is a schematic view of the tooth surface curve of a second embodiment of an involute oval helical gear non-cylindrical gear in accordance with the present invention.
FIG. 5 is a schematic view of a second embodiment of an involute oval helical gear in a non-cylindrical gear in accordance with the present invention.
Detailed Description
The invention is further illustrated with reference to the following figures and specific examples.
The invention discloses a modeling method of an involute oval straight-tooth non-cylindrical gear, which comprises the following steps:
(1) creating a tooth profile curve parameterization module, and selecting the following parameter equation to finish the tooth surface curve of the gear tooth
Drawing:
z＝u+lcosγ
wherein,
cosγ＝tanβcosα，
while the oval pitch curve is
p＝a(1-e2)，
The configuration equation of the tooth surface curved surface is obtained by taking beta as 0, lambda as alpha, theta as 0, gamma as pi/2 and u as z
z＝u+lcosγ
Wherein,
cosα＝cosβcosψ，
when ψ is 20 °, a is 20, e is 0.3, z is 15, and β is 10 °, the result is as shown in fig. 1.
(2) Under the environment of components, creating entities of each gear tooth one by one according to the gear teeth obtained in the step (1), as shown in the attached figure 2;
(3) under the environment of a part, creating a non-cylindrical entity of a gear tooth root according to the tooth surface curved surface of the gear tooth obtained in the step (1);
(4) combining the gear tooth entity and the gear tooth root cone entity, and finishing to obtain a complete virtual three-dimensional involute oval straight-tooth non-cylindrical gear simulation entity, as shown in figure 3;
and (2) manually inputting, intercepting and finishing the tooth surface curved surface of the gear tooth in the step (1) through a tooth profile curve parameter equation, or programming the tooth profile curve parameter equation by using a computer language and using the programmed tooth profile curve parameter equation as a macro program, operating the program to obtain a closed sketch of the gear tooth, and intercepting and finishing the closed sketch.
And (3) completing the steps (2), (3) and (4) by using a series of Boolean logic operation commands.
Another embodiment of the modeling method is a modeling method for a standard involute-oval helical-tooth non-cylindrical gear, comprising the steps of:
(1) creating a tooth profile curve parameterization module, and finishing the drawing of the tooth surface curved surface of the gear tooth by selecting the following parameter equation:
z＝u+lcosγ
wherein,
cosα＝cosβcosψ，
cosγ＝sinβcosψ，
meanwhile, the oval pitch curve is:
p＝a(1-e2)，
the tooth profile curve parameter equation is manually input or programmed by a computer language and used as a macro program, psi ═ 20 °, a ═ 20, e ═ 0.3, the tooth number is 15, beta ═ 10 °, the program is operated to obtain a closed sketch of the gear teeth, and the graph shown in fig. 4 is obtained by cutting and trimming. And then, according to the steps in the first embodiment, the three-dimensional entity modeling is carried out on the attached figure 4, and the complete virtual three-dimensional standard involute helical tooth cylindrical gear simulation entity figure 5 is obtained through trimming.
Claims (3)
1. A modeling method of an involute oval straight-tooth non-cylindrical gear comprises the following steps:
(1) creating a tooth profile curve parameterization module by using a computer, and creating each tooth surface curve of the gear tooth one by one through a curve group or cloud points in a component environment;
(2) under the environment of the component, entities of each gear tooth are created one by one;
(3) creating a gear root non-cylindrical solid in a component environment;
(4) combining the gear teeth and the gear tooth root non-cylindrical entity, and finishing to obtain a complete virtual three-dimensional gear simulation entity;
the method is characterized in that: the step (1) is implemented by creating a tooth profile curve parameterization module by a computer, completing a tooth surface curve of the gear tooth through a tooth profile curve group or cloud points and selecting the following parameter equation:
z＝u+lcosγ
wherein,
cosγ＝tanβcosα，
in the step (1), when β is 0, λ is α, θ is 0, γ is pi/2, and u is z.
2. A method of modeling an involute oval spur non-cylindrical gear as claimed in claim 1 wherein: and (2) manually inputting, intercepting and finishing the tooth surface curved surface of the gear tooth in the step (1) through a tooth profile curve parameter equation, or programming the tooth profile curve parameter equation by using a computer language and using the programmed tooth profile curve parameter equation as a macro program, operating the program to obtain a closed sketch of the gear tooth, and intercepting and finishing the closed sketch.
3. A method of modeling an involute oval spur non-cylindrical gear as claimed in claim 1 wherein: and (3) completing the steps (2), (3) and (4) by using a series of Boolean logic operation commands.
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| CN 201110203266 CN102236738B (en) | 2011-07-20 | 2011-07-20 | Method for modelling straight-toothed or helical non-cylindrical gear |
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| CN 201110203266 CN102236738B (en) | 2011-07-20 | 2011-07-20 | Method for modelling straight-toothed or helical non-cylindrical gear |
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| CN103488825B (en) * | 2013-09-10 | 2016-05-04 | 太原理工大学 | A kind of data fitting method for gear-profile curve Reconstruction |
| CN107387722A (en) * | 2017-08-17 | 2017-11-24 | 燕山大学 | A kind of design method of fan-shaped non-circular gear |
| CN108389252B (en) * | 2018-01-31 | 2021-09-03 | 厦门理工学院 | Three-dimensional modeling method for processing involute gear tooth profile surface by gear shaping |
| CN109128390B (en) * | 2018-09-28 | 2019-10-25 | 厦门理工学院 | A kind of straight bevel gear planing operation flank profil three-dimensional modeling method and computer readable storage medium |
| CN111914357B (en) * | 2020-06-17 | 2021-07-02 | 成都飞机工业（集团）有限责任公司 | Method for accurately creating bevel gear digifax |
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| CN100399339C (en) * | 2005-07-26 | 2008-07-02 | 上海师范大学 | Worm gear modeling approach |
| CN101251181B (en) * | 2008-03-25 | 2011-02-09 | 东华大学 | Helical teeth elliptic gear as well as method for three-dimensional model-building accurately and entity shaping |
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