CN110750922A - Method for quickly modeling finite element contact model of spur gear with web structure - Google Patents
Method for quickly modeling finite element contact model of spur gear with web structure Download PDFInfo
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- CN110750922A CN110750922A CN201910859189.2A CN201910859189A CN110750922A CN 110750922 A CN110750922 A CN 110750922A CN 201910859189 A CN201910859189 A CN 201910859189A CN 110750922 A CN110750922 A CN 110750922A
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
- F16H55/02—Toothed members; Worms
- F16H55/17—Toothed wheels
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Abstract
The invention provides a method for quickly modeling a finite element contact model of a spur gear with a web structure, which comprises the following steps: step 1, inputting gear parameters and grid parameters; step 2, calculating the coordinates of the single gear teeth of the gear; step 3, calculating to obtain the coordinates of the web plate; step 4, performing unit combination by adopting a 3-dimensional 8-node reduction integral entity unit (C3D8R) according to the gear tooth coordinates and the web coordinates to generate a mesh model of the single gear tooth of the gear and a mesh model of the web; step 5, carrying out circumferential array according to the single gear tooth model of the gear to establish a full-tooth model; and 6, combining the full-tooth model and the mesh model of the web plate to generate a gear finite element model containing the web plate. The modeling method can accurately and efficiently complete the establishment of the finite element model of the gear comprising the web plate, complete the grid division, has clear and clear operation process and is beneficial to reducing the working strength of researchers.
Description
Technical Field
The invention relates to the technical field of gear modeling and machining, in particular to a method for quickly modeling a finite element contact model of a spur gear with a web structure.
Background
The gear transmission is widely applied in the field of mechanical transmission, and basic theories and methods about the dynamics of gear systems are relatively perfect. Before carrying out gear dynamics analysis, the time-varying meshing rigidity and the static transmission error of the gear pair are calculated. And then subsequently analyzed as a system stimulus. At present, a finite element model of a gear system is mainly established by adopting a finite element method, and a gear meshing process is simulated through gear contact analysis, so that the meshing time-varying rigidity and the static transmission error of the gear system can be conveniently obtained. For establishing a finite element model of a gear system, a three-dimensional model of a gear structure is established in three-dimensional software, then the three-dimensional model is introduced into the finite element software for meshing and finite element analysis, and during gear contact analysis, meshing is required to be performed on a gear tooth part of a gear so as to obtain a more accurate result, so that the three-dimensional model needs to be split, the operation is complicated, and the burden of researchers is increased. In addition, many workers currently ignore the effect of the web structure in performing gear contact analysis, but in practice, when the gear web structure is thin, it has a large effect on the meshing stiffness between the gear pairs. Therefore, a web structure should be included in the actual modeling. In view of the above, there is a need to develop a rapid modeling method for implementing a cylindrical gear contact model with a web structure, so as to improve the efficiency of workers.
Disclosure of Invention
The present invention is directed to solving at least one of the problems of the prior art. Therefore, the invention provides a method for quickly modeling a finite element contact model of a spur gear with a web structure, which comprises the following steps:
step 1, inputting gear parameters and grid parameters;
step 2, calculating the coordinates of the single gear teeth of the gear;
step 3, calculating to obtain the coordinates of the web plate;
step 4, performing unit combination by adopting a 3-dimensional 8-node reduction integral entity unit (C3D8R) according to the gear tooth coordinates and the web coordinates to generate a mesh model of the single gear tooth of the gear and a mesh model of the web;
step 5, carrying out circumferential array according to the single gear tooth model of the gear to establish a full-tooth model;
and 6, combining the full-tooth model and the mesh model of the web plate to generate a gear finite element model containing the web plate.
The modeling method provided by the embodiment of the invention at least has the following technical effects: the modeling method can accurately and efficiently complete the establishment of the finite element model of the gear comprising the web plate, complete the grid division, has clear and clear operation process and is beneficial to reducing the working strength of researchers.
According to some embodiments of the present invention, the gear parameters input in step 1 include tooth number, module number, pressure angle, tooth width, tooth crest coefficient, clearance coefficient, web inner diameter, web outer diameter and web thickness, and the grid parameters include the number of grid cells of each line segment of the gear end face and the number of grid cells of the web structure in radial, circumferential and axial directions.
The modeling method provided by the embodiment of the invention at least has the following technical effects: and (3) obtaining the accurate coordinates of the single gear tooth and the web plate in the step (2) and the step (3) through specific parameters, and further obtaining an accurate grid model in the step (4).
According to some embodiments of the present invention, in the step 2, an XYZ coordinate system is established, coordinates of eight boundary nodes of a single gear tooth are marked on one side of the Y axis in the XOY coordinate system, ten line segments are generated through the eight boundary nodes, coordinates of internal nodes of the line segment are calculated according to the number of grid elements of each line segment, a half contour of the single gear tooth is surrounded, and then the line segment is stretched along the Z axis and mirrored symmetrically about the Y axis to obtain all node coordinates of the single gear tooth.
The modeling method provided by the embodiment of the invention at least has the following technical effects: the coordinates of half of the outline of a single gear tooth are obtained through calculation, then the coordinates of the other half of the outline are obtained through symmetry, and the working efficiency is high.
According to some embodiments of the present invention, in the step 3, an XYZ coordinate system is established, all node coordinates on one end surface of the web are calculated according to the inner diameter, the outer diameter and the thickness of the web and the number of divided grid cells in the XOY coordinate system, and all node coordinates of the web are obtained by Z-axis stretching.
The modeling method provided by the embodiment of the invention at least has the following technical effects: all node coordinates of one end face of the web are obtained through calculation, and then all node coordinates of the web are obtained through stretching, so that the efficiency is high, and the result is accurate.
According to some embodiments of the present invention, in the step 5, the established single-tooth model is imported by using a quadratic development language Python of abaqus, and the full-tooth model is established by programming a circumferential array of the single-tooth mesh model.
The modeling method provided by the embodiment of the invention at least has the following technical effects: the secondary development language Python of abaqus can efficiently and conveniently establish a model, and the workload of researchers is reduced.
According to some embodiments of the invention, there is further included step 7 of programming and assigning material properties to the gear model.
According to some embodiments of the invention, the gear comprises a driven tooth and a driving tooth, and after step 7 there is a step 8 of programming the contact pairs of the driven tooth and the driving tooth and setting the boundary conditions, the analysis step and the output.
According to some embodiments of the invention, there is further included step 9 of saving the model as a CAE file.
Additional aspects and advantages of the invention will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the invention.
Drawings
The invention is further illustrated with reference to the following figures and examples:
FIG. 1 is one embodiment of a coordinate calculation of a single tooth;
fig. 2 is an embodiment of the present invention.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the accompanying drawings are illustrative only for the purpose of explaining the present invention, and are not to be construed as limiting the present invention.
In the description of the present invention, it should be understood that the orientation or positional relationship referred to in the description of the orientation, such as the upper, lower, front, rear, left, right, etc., is based on the orientation or positional relationship shown in the drawings, and is only for convenience of description and simplification of description, and does not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus, should not be construed as limiting the present invention.
In the description of the present invention, the meaning of a plurality of means is one or more, the meaning of a plurality of means is two or more, and larger, smaller, larger, etc. are understood as excluding the number, and larger, smaller, inner, etc. are understood as including the number. If the first and second are described for the purpose of distinguishing technical features, they are not to be understood as indicating or implying relative importance or implicitly indicating the number of technical features indicated or implicitly indicating the precedence of the technical features indicated.
In the description of the present invention, unless otherwise explicitly limited, terms such as arrangement, installation, connection and the like should be understood in a broad sense, and those skilled in the art can reasonably determine the specific meanings of the above terms in the present invention in combination with the specific contents of the technical solutions.
The invention discloses a method for quickly modeling a finite element contact model of a spur gear with a web structure, which comprises the following steps of:
step 1, inputting gear parameters and grid parameters;
step 2, calculating the coordinates of a single gear tooth of the gear;
step 3, calculating to obtain the coordinates of the web plate;
step 4, performing unit combination by adopting a 3-dimensional 8-node reduction integral entity unit (C3D8R) according to the coordinates of the gear teeth and the coordinates of the web plate to generate a grid model of the single gear teeth of the gear and a grid model of the web plate;
step 5, carrying out circumferential array according to a single gear tooth model of the gear to establish a full-tooth model;
and 6, combining the full-tooth model and the mesh model of the web plate to generate a gear finite element model containing the web plate.
The steps are adopted for gear modeling, the finite element model building of the gear comprising the web plate can be accurately and efficiently completed, the mesh division is completed, the operation process is clear and clear, and the work intensity of researchers is favorably reduced.
The gear parameters input in the step 1 comprise tooth number, modulus, pressure angle, tooth width, tooth crest coefficient, clearance coefficient, web inner diameter, web outer diameter and web thickness, and the grid parameters comprise the grid unit number of each line segment of the gear end face and the grid unit number of the web structure in the radial direction, the circumferential direction and the axial direction. Obviously, the parameters are different for gears of different specifications, so that the parameters are not described in detail in the invention. Thus, the precise coordinates of the single gear tooth and the web plate are obtained in the step 2 and the step 3 through the specific parameters, and further, a precise grid model can be obtained in the step 4.
According to some embodiments of the present invention, referring to fig. 1, in step 2, an XYZ coordinate system is established, coordinates of eight boundary nodes of a single gear tooth are marked on one side of a Y axis in the XOY coordinate system, ten line segments are generated through the eight boundary nodes, coordinates of internal nodes of a line segment are calculated according to the number of grid elements of each line segment, a half contour of the single gear tooth is enclosed, and then all node coordinates of the single gear tooth are obtained by stretching along the Z axis and mirror-imaging symmetrically about the Y axis. Therefore, the coordinates of one half of the outline of a single gear tooth are calculated firstly, and then the coordinates of the other half of the outline are obtained symmetrically, so that the working efficiency is high.
According to some embodiments of the present invention, in step 3, an XYZ coordinate system is established, all node coordinates on one end surface of the web are calculated according to the inner diameter, the outer diameter and the thickness of the web and the number of divided grid cells in the XOY coordinate system, and all node coordinates of the web are obtained by stretching through the Z axis. Therefore, all node coordinates of one end face of the web are obtained through calculation, and all node coordinates of the web are obtained through stretching, so that the efficiency is high, and the result is accurate.
The XYZ coordinate systems established in step 2 and step 3 may be the same, or may be two different systems, for example, two drawing documents are established in three-dimensional software, and a single-tooth model and a web model are respectively established.
According to some embodiments of the present invention, in step 5, the established single-tooth model is imported using the quadratic development language Python of abaqus, and the full-tooth model is established by programming the circumferential array of the single-tooth mesh model. Therefore, the model can be efficiently and conveniently established through the secondary development language Python of abaqus, and the workload of researchers is reduced.
And after step 6, a step 7 of programming and assigning material properties to the gear model is also included.
In some embodiments of the invention, the gear comprises a driven tooth and a driving tooth, so there is a step 8 after step 7 of programming to establish the contact pairs of driven and driving teeth and to set the boundary conditions, analysis steps and outputs.
In order to facilitate the timely calling of the established model, in some embodiments of the present invention, step 9 is further included to save the model as a CAE file.
Referring to FIG. 2, in some embodiments, the modeling of the gears and the modeling of the webs may be performed simultaneously.
In the description herein, references to the description of the term "one embodiment," "some embodiments," "an illustrative embodiment," "an example," "a specific example," or "some examples" or the like mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the invention. In this specification, the schematic representations of the terms used above do not necessarily refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
While embodiments of the invention have been shown and described, it will be understood by those of ordinary skill in the art that: various changes, modifications, substitutions and alterations can be made to the embodiments without departing from the principles and spirit of the invention, the scope of which is defined by the claims and their equivalents.
Claims (8)
1. A method for quickly modeling a finite element contact model of a spur gear with a web structure is characterized by comprising the following steps:
step 1, inputting gear parameters and grid parameters;
step 2, calculating the coordinates of the single gear teeth of the gear;
step 3, calculating to obtain the coordinates of the web plate;
step 4, performing unit combination by adopting a 3-dimensional 8-node reduction integral entity unit (C3D8R) according to the gear tooth coordinates and the web coordinates to generate a mesh model of the single gear tooth of the gear and a mesh model of the web;
step 5, carrying out circumferential array according to the single gear tooth model of the gear to establish a full-tooth model;
and 6, combining the full-tooth model and the mesh model of the web plate to generate a gear finite element model containing the web plate.
2. The method for rapidly modeling a finite element contact model of a spur gear with a web structure according to claim 1, wherein the gear parameters input in the step 1 include the number of teeth, modulus, pressure angle, tooth width, tooth crest coefficient, clearance coefficient, web inner diameter, web outer diameter and web thickness, and the mesh parameters include the number of mesh elements of each line segment of the gear end face and the number of mesh elements of the web structure in the radial direction, the circumferential direction and the axial direction.
3. A method for rapid modeling of a finite element contact model of a spur gear having a web structure according to claim 2, wherein in the step 2, an XYZ coordinate system is established, coordinates of eight boundary nodes of a single gear tooth are marked on one side of a Y axis in the XOY coordinate system, ten line segments are generated by the eight boundary nodes, coordinates of internal nodes of the line segments are calculated according to the number of mesh elements of each line segment to form a half contour of the single gear tooth, and then the line segments are stretched along the Z axis and mirrored symmetrically about the Y axis to obtain all the node coordinates of the single gear tooth.
4. A method for rapid modeling of a spur gear finite element contact model of a web-containing structure according to claim 2, wherein in the step 3, an XYZ coordinate system is established, all node coordinates on one end face of the web are calculated in an XOY coordinate system according to the inner diameter, the outer diameter and the thickness of the web and the number of divided grid elements, and all the node coordinates of the web are obtained by Z-axis stretching.
5. A method for rapid modeling of a finite element contact model of a spur gear with a web structure according to claim 2, wherein in the step 5, the established single-tooth model is imported and programmed to realize a circumferential array of the single-tooth mesh model by using a quadratic development language Python of abaqus, so as to establish the full-tooth model.
6. A method for rapid modeling of a spur gear finite element contact model with a web structure according to claim 5, further comprising step 7 of programming and assigning material properties to the gear model.
7. A method for rapid modeling of a finite element contact model of a spur gear with a web structure according to claim 6, wherein the gear comprises a driven tooth and a driving tooth, and after step 7, there is further step 8 of programming the contact pair of the driven tooth and the driving tooth and setting the boundary conditions, the analysis step and the output.
8. A method for rapid modeling of a spur gear finite element contact model of a web containing structure as set forth in claim 7, further comprising a step 9 of saving the model as a CAE file.
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| CN201910859189.2A CN110750922A (en) | 2019-09-11 | 2019-09-11 | Method for quickly modeling finite element contact model of spur gear with web structure |
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| CN201910859189.2A CN110750922A (en) | 2019-09-11 | 2019-09-11 | Method for quickly modeling finite element contact model of spur gear with web structure |
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| CN104408241A (en) * | 2014-11-06 | 2015-03-11 | 北京航空航天大学 | Finite element grid automatic generation method of profiling cylindrical gear |
| CN109145484A (en) * | 2018-09-04 | 2019-01-04 | 中南大学 | Numerical value load Tooth Contact Analysis method based on hyperboloid shell unit model |
| CN109726520A (en) * | 2019-02-01 | 2019-05-07 | 东北大学 | Consider the spur gear mesh stiffness calculation method of complicated substrate and crack propagation path |
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2019
- 2019-09-11 CN CN201910859189.2A patent/CN110750922A/en active Pending
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|---|---|---|---|---|
| CN104408241A (en) * | 2014-11-06 | 2015-03-11 | 北京航空航天大学 | Finite element grid automatic generation method of profiling cylindrical gear |
| CN109145484A (en) * | 2018-09-04 | 2019-01-04 | 中南大学 | Numerical value load Tooth Contact Analysis method based on hyperboloid shell unit model |
| CN109726520A (en) * | 2019-02-01 | 2019-05-07 | 东北大学 | Consider the spur gear mesh stiffness calculation method of complicated substrate and crack propagation path |
Non-Patent Citations (3)
| Title |
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| BAI FAN 等: "Comparisons of dynamic responses of a spur gear pair with two forms of profile deviation", 《AUSTRALIAN JOURNAL OF MECHANICAL ENGINEERING》 * |
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