CN109858113B - Modeling method, device and equipment for extended involute worm machining tooth surface - Google Patents
Modeling method, device and equipment for extended involute worm machining tooth surface Download PDFInfo
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Abstract
The invention provides a modeling method for a machined tooth surface of an extended involute worm, which comprises the following steps: according to design parameters of the extended involute worm, simulating turning motion of the worm and the relative position of a turning tool and the worm to establish a three-dimensional worm blank model; establishing a turning tool geometric model according to the geometric parameters of the turning tool, and establishing a worm turning three-dimensional model by combining the worm blank three-dimensional model and the turning tool geometric model; simulating the turning motion of the turning tool and the worm according to the processing technological parameters of the extended involute worm, and establishing a three-dimensional model of the curved surface of the blade track; the method comprises the steps of calculating the three-dimensional model of the worm blank, subtracting the three-dimensional model of the blade track curved surface, establishing the three-dimensional model of the worm tooth profile, and adjusting the three-dimensional model of the worm tooth profile to complete the construction of the three-dimensional model of the worm.
Description
Technical Field
The invention relates to the field of modeling of a machined tooth surface of a worm, in particular to a method, a device and equipment for modeling a machined tooth surface of an extended involute worm.
Background
With the development of the numerical control gear machining technology, the machining of the gear with a complex tooth surface is gradually realized, but the high-precision coordinate parameters meeting the numerical control machining requirements are firstly input when the gear is machined by the numerical control technology. At present, for some gears with complex tooth surfaces, to obtain coordinate parameters of the tooth surfaces, the key means is to obtain the coordinate parameters by complex conjugate equation solution or complex operation of intersection and curved surface fitting by a discrete method through a computer, the consumed time is too long, the obtained tooth surfaces have low precision, and the meshing quality between the complex conjugate tooth surfaces cannot be well reflected. Therefore, it is becoming more and more necessary to create a three-dimensional solid model of the gear in order to obtain high-precision coordinate parameters that meet the requirements of numerical control machining. In order to obtain the three-dimensional entity of the high-precision gear quickly, the efficient and correct gear modeling method is the basis.
Disclosure of Invention
The invention discloses a modeling method for an extended involute worm machining tooth surface.
The first embodiment of the invention provides a modeling method for a machined tooth surface of an extended involute worm, which comprises the following steps:
According to design parameters of the extended involute worm, simulating turning motion of the worm and the relative position of a turning tool and the worm to establish a three-dimensional worm blank model;
establishing a turning tool geometric model according to the geometric parameters of the turning tool, and establishing a worm turning three-dimensional model by combining the worm blank three-dimensional model and the turning tool geometric model;
simulating the turning motion of the turning tool and the worm according to the processing technological parameters of the extended involute worm, and establishing a three-dimensional model of the curved surface of the blade track;
and calculating the worm blank three-dimensional model, subtracting the blade track curved surface three-dimensional model, establishing a worm tooth profile three-dimensional model, adjusting the worm tooth profile three-dimensional model, completing the construction of the worm three-dimensional model, and providing a high-precision model and coordinate parameters for numerical control machining.
Preferably, according to the processing parameters of the extended involute worm, the turning motion of the turning tool and the worm is simulated, and a three-dimensional model of the curved surface of the blade track is established, which specifically comprises the following steps:
the turning tool is provided with a first cutting edge and a second cutting edge, the first cutting edge is provided with a first end point and a second end point to generate a first cutting edge track spiral line and a second cutting edge track spiral line, and the second cutting edge is provided with a first end point and a second end point to generate a third cutting edge track spiral line and a fourth cutting edge track spiral line;
And forming a first blade track curved surface by using a first blade track spiral line and a second blade track spiral line generated by a first end point and a second end point on the first blade, forming a second blade track curved surface by using a third blade track spiral line and a fourth blade track spiral line generated by a first end point and a second end point on the second blade, forming a cross blade track curved surface by using the first blade track spiral line on the first blade and the third blade track spiral line on the second blade, and forming a blade track curved surface three-dimensional model according to the first blade track curved surface, the second blade track curved surface and the cross blade track curved surface.
Preferably, the worm tooth profile three-dimensional model is established by calculating the worm blank three-dimensional model and subtracting the blade track curved surface three-dimensional model, and the worm tooth profile three-dimensional model is adjusted to complete the construction of the worm three-dimensional model, specifically:
carrying out sheet body thickening treatment on the first blade track curved surface, the second blade track curved surface and the chisel edge track curved surface on the blade track curved surface three-dimensional model to obtain a first blade track curved surface solid model;
copying the first blade track curved surface solid model, and generating a second blade track curved surface solid model in the positive direction of an X axis, wherein the distance between the first blade track curved surface solid model and the second blade track curved surface solid model is Pa;
And calculating the worm blank three-dimensional model, and subtracting the first blade track curved surface solid model and the second blade track curved surface solid model in sequence to generate a worm tooth profile three-dimensional model.
Preferably, after the worm tooth profile three-dimensional model is generated, the measurement of the turning tool clearance angle of the extended involute worm machining is further included, specifically:
and acquiring a bottom view of the section of the three-dimensional worm tooth profile model, and measuring to obtain the working back angle of the first blade and the working back angle of the second blade.
Preferably, the clockwise rotation of the three-dimensional model of the worm blank is a positive direction, and the movement of the geometric model of the turning tool along the negative direction of the X axis is a positive direction.
A second embodiment of the present invention provides an extended involute worm machining tooth surface modeling apparatus, including:
the worm blank three-dimensional modeling unit is used for simulating the turning motion of the worm and the relative position of a turning tool and the worm to establish a worm blank three-dimensional model according to the design parameters of the extended involute worm;
the worm turning three-dimensional modeling unit is used for establishing a turning tool geometric model according to the geometric parameters of a turning tool and establishing a worm turning three-dimensional model by combining the worm blank three-dimensional model and the turning tool geometric model;
The blade track curved surface three-dimensional model modeling unit is used for simulating the turning motion of the turning tool and the worm according to the processing technological parameters of the extended involute worm and establishing a blade track curved surface three-dimensional model;
and the worm tooth profile three-dimensional modeling unit is used for calculating the worm blank three-dimensional model and subtracting the blade track curved surface three-dimensional model to establish a worm tooth profile three-dimensional model.
Preferably, the worm tooth profile three-dimensional modeling unit further includes a difference calculating module, configured to subtract the first blade trajectory curved surface solid model and the second blade trajectory curved surface solid model from the worm blank three-dimensional model in sequence, so as to generate a worm tooth profile three-dimensional model.
Preferably, the worm tooth profile three-dimensional modeling unit further comprises a worm three-dimensional modeling module, which is used for adjusting the worm tooth profile three-dimensional model to complete the construction of the worm three-dimensional model.
A third embodiment of the present invention provides an extended involute worm machined tooth surface modeling apparatus, including a processor, a memory, and a computer program stored in the memory and configured to be executed by the processor, the processor implementing the extended involute worm machined tooth surface modeling method as described above when executing the computer program.
The invention discloses a modeling method, a device and equipment for an extended involute worm machining tooth surface.
Drawings
FIG. 1 is a schematic flow chart of a method for modeling an extended involute worm machined tooth surface according to an embodiment of the invention;
FIG. 2 is a schematic diagram of a three-dimensional extended involute worm machining model provided by an embodiment of the invention;
FIG. 3 is a front view of a three-dimensional model of an extended involute worm tooling provided in an embodiment of the present invention;
FIG. 4 is a top view of an extended involute worm tooling three-dimensional model provided in accordance with an embodiment of the present invention;
FIG. 5 is a schematic diagram of a three-dimensional model of an extended involute worm turning edge trajectory provided by an embodiment of the present invention;
FIG. 6 is a schematic diagram of a three-dimensional model of a worm tooth profile provided by an embodiment of the invention;
FIG. 7 is a sectional bottom view of a three-dimensional model of a worm tooth profile provided by an embodiment of the present invention;
fig. 8 is a schematic diagram of a three-dimensional model of a worm according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings of the embodiments of the present invention. All other embodiments, which can be obtained by a person skilled in the art without inventive efforts based on the embodiments of the present invention, are within the scope of protection of the present invention. Thus, the following detailed description of the embodiments of the present invention, as presented in the figures, is not intended to limit the scope of the invention, as claimed, but is merely representative of selected embodiments of the invention. All other embodiments, which can be obtained by a person skilled in the art without inventive efforts based on the embodiments of the present invention, are within the scope of protection of the present invention.
The following detailed description of specific embodiments of the invention refers to the accompanying drawings.
Referring to fig. 1, a first embodiment of the present invention provides a method for modeling an extended involute worm machining tooth surface, including:
S101, according to design parameters of an extended involute worm, simulating turning motion of the worm and relative positions of a turning tool and the worm to establish a three-dimensional worm blank model;
s102, establishing a turning tool geometric model according to the geometric parameters of the turning tool, and establishing a worm turning three-dimensional model by combining the worm blank three-dimensional model and the turning tool geometric model;
referring to fig. 2 to 4, fig. 2 is a three-dimensional extended involute worm turning model, where x, y, and z are coordinate axes, 1 is a worm tooth profile zone blank, 2 is a turning tool, V is a moving speed (mm/r) of the turning tool during machining, n is a blank rotating speed (r/min) during machining, and fig. 3 is a front view of the three-dimensional extended involute worm turning model, where a horizontal coordinate axis is an x axis and a vertical coordinate axis is a z axis. In fig. 3, 1 is a blank, 2 is a turning tool, L is a length (mm) of a worm profile zone, β 1 is an included angle (°) between the turning tool and a z axis, and is positive counterclockwise, fig. 4 is a top view of a three-dimensional extended involute worm turning model, 1 is a blank, and 2 is a turning tool. β 2 is positive counterclockwise by an angle (°) around the z-axis.
S103, simulating the turning motion of the turning tool and the worm according to the processing parameters of the extended involute worm, and establishing a three-dimensional model of a blade track curved surface;
Referring to fig. 5, the turning tool is provided with a first blade 4 and a second blade 6, the first blade 4 is provided with a first end point and a second end point to generate a first blade trajectory helix and a second blade trajectory helix, and the second blade 6 is provided with a first end point and a second end point to generate a third blade trajectory helix and a fourth blade trajectory helix;
forming a first blade track curved surface by using a first blade track spiral line and a second blade track spiral line generated by a first end point and a second end point on the first blade 4, forming a second blade track curved surface by using a third blade track spiral line and a fourth blade track spiral line generated by a first end point and a second end point on the second blade 6, forming a chisel edge 5 by using a second end point on the first blade 4 and a first end point on the second blade 6, forming a chisel edge track curved surface by using a first blade track spiral line on the first blade and a third blade track spiral line on the second blade, and forming a blade track curved surface three-dimensional model 3 according to the first blade track curved surface, the second blade track curved surface and the chisel edge track curved surface.
And S104, calculating the worm blank three-dimensional model, subtracting the blade track curved surface three-dimensional model, establishing a worm tooth profile three-dimensional model, adjusting the worm tooth profile three-dimensional model, completing construction of the worm three-dimensional model, and providing a high-precision model and coordinate parameters for numerical control machining.
Referring to fig. 6, the first blade track curved surface, the second blade track curved surface and the chisel edge track curved surface on the blade track curved surface three-dimensional model 3 are subjected to sheet thickening processing to obtain a first blade track curved surface solid model;
copying the first blade track curved surface solid model, and generating a second blade track curved surface solid model in the positive direction of the X axis, wherein the distance between the first blade track curved surface solid model and the second blade track curved surface solid model is Pa;
and calculating the three-dimensional worm blank model, and sequentially subtracting the first blade track curved surface solid model and the second blade track curved surface solid model to generate a worm tooth profile three-dimensional model 7, wherein Pa is a thread pitch (mm).
Preferably, after the worm tooth profile three-dimensional model is generated, the measurement of the turning tool clearance angle of the extended involute worm machining is further included, specifically:
referring to fig. 7, a sectional bottom view of the three-dimensional worm tooth profile model 7 is obtained, and a working clearance angle of a first blade and a working clearance angle of a second blade are obtained through measurement, wherein 8 is a first blade face, 9 is a second blade face, 10 is a first tooth profile face, and 11 is a second tooth profile face.
Preferably, the clockwise rotation of the three-dimensional model of the worm blank is a positive direction, and the movement of the geometric model of the turning tool along the negative direction of the X axis is a positive direction.
A second embodiment of the present invention provides an extended involute worm machining tooth surface modeling apparatus, including:
the worm blank three-dimensional modeling unit is used for simulating the turning motion of the worm and the relative position of a turning tool and the worm to establish a worm blank three-dimensional model according to the design parameters of the extended involute worm;
the worm turning three-dimensional modeling unit is used for establishing a turning tool geometric model according to the geometric parameters of a turning tool and establishing a worm turning three-dimensional model by combining the worm blank three-dimensional model and the turning tool geometric model;
the three-dimensional model modeling unit of the blade track curved surface simulates the turning motion of the turning tool and the worm according to the processing technological parameters of the extended involute worm and establishes a three-dimensional model of the blade track curved surface;
and the worm tooth profile three-dimensional modeling unit is used for calculating the worm blank three-dimensional model, subtracting the blade track curved surface three-dimensional model and establishing a worm tooth profile three-dimensional model.
Preferably, the worm tooth profile three-dimensional modeling unit further includes a difference calculating module, configured to subtract the first blade trajectory curved surface solid model and the second blade trajectory curved surface solid model from the worm blank three-dimensional model in sequence, so as to generate a worm tooth profile three-dimensional model.
Preferably, referring to fig. 8, the worm tooth profile three-dimensional modeling unit further includes a worm three-dimensional modeling module, which is used for adjusting the worm tooth profile three-dimensional model 7 and supplementing the power transmission section 12 and the support section 13 to complete the construction of the worm three-dimensional model.
A third embodiment of the present invention provides an extended involute worm machined tooth surface modeling apparatus comprising a processor, a memory, and a computer program stored in the memory and configured to be executed by the processor, the processor implementing the extended involute worm machined tooth surface modeling method as described above when executing the computer program.
The invention discloses a modeling method, a device and equipment for an extended involute worm machining tooth surface.
The above are only preferred embodiments of the present invention, and the scope of the present invention is not limited to the above examples, and all technical solutions that fall under the spirit of the present invention belong to the scope of the present invention.
Claims (7)
1. A modeling method for a machined tooth surface of an extended involute worm is characterized by comprising the following steps:
according to design parameters of the extended involute worm, simulating turning motion of the worm and the relative position of a turning tool and the worm to establish a three-dimensional worm blank model;
establishing a turning tool geometric model according to the geometric parameters of the turning tool, and establishing a worm turning three-dimensional model by combining the worm blank three-dimensional model and the turning tool geometric model;
according to the processing technological parameters of the extended involute worm, the turning motion of the turning tool and the worm is simulated, and a three-dimensional model of the curved surface of the blade track is established, which specifically comprises the following steps: the turning tool is provided with a first cutting edge and a second cutting edge, the first cutting edge is provided with a first end point and a second end point to generate a first cutting edge track spiral line and a second cutting edge track spiral line, and the second cutting edge is provided with a first end point and a second end point to generate a third cutting edge track spiral line and a fourth cutting edge track spiral line;
forming a first blade track curved surface by using first and second blade track spiral lines generated by a first end point and a second end point on the first blade, forming a second blade track curved surface by using a third and fourth blade track spiral lines generated by a first end point and a second end point on the second blade, forming a chisel edge track curved surface by using the first blade track spiral line on the first blade and the third blade track spiral line on the second blade, and forming a blade track curved surface three-dimensional model according to the first blade track curved surface, the second blade track curved surface and the chisel edge track curved surface;
Calculating the three-dimensional worm blank model, subtracting the three-dimensional blade track curved surface model, establishing a worm tooth profile three-dimensional model, adjusting the worm tooth profile three-dimensional model, completing the construction of the worm three-dimensional model, and providing a high-precision model and coordinate parameters for numerical control machining, wherein the method specifically comprises the following steps: carrying out sheet body thickening treatment on the first blade track curved surface, the second blade track curved surface and the chisel blade track curved surface on the blade track curved surface three-dimensional model to obtain a first blade track curved surface solid model;
copying the first blade track curved surface solid model, and generating a second blade track curved surface solid model in the positive direction of the X axis, wherein the distance between the first blade track curved surface solid model and the second blade track curved surface solid model is Pa;
and calculating the worm blank three-dimensional model, and subtracting the first blade track curved surface solid model and the second blade track curved surface solid model in sequence to generate a worm tooth profile three-dimensional model.
2. The method for modeling the machined tooth surface of the extended involute worm according to claim 1, wherein after the three-dimensional worm tooth profile model is generated, measurement of a turning tool clearance angle of the extended involute worm is further included, and the method specifically comprises the following steps:
and acquiring a bottom view of the section of the three-dimensional worm tooth profile model, and measuring to obtain the working back angle of the first blade and the working back angle of the second blade.
3. The modeling method for the machined tooth surface of the extended involute worm according to claim 1, wherein the clockwise rotation of the worm blank three-dimensional model is a positive direction, and the movement of the turning tool geometric model along the negative direction of the X axis is a positive direction.
4. An extended involute worm machining tooth surface modeling device is characterized by comprising:
the worm blank three-dimensional modeling unit is used for simulating the turning motion of the worm and the relative position of a turning tool and the worm to establish a worm blank three-dimensional model according to the design parameters of the extended involute worm;
the worm turning three-dimensional modeling unit is used for establishing a turning tool geometric model according to the geometric parameters of a turning tool and establishing a worm turning three-dimensional model by combining the worm blank three-dimensional model and the turning tool geometric model;
the three-dimensional model modeling unit of the cutting edge track curved surface is used for simulating the turning motion of the turning tool and the worm according to the processing technological parameters of the extended involute worm, and establishing the three-dimensional model of the cutting edge track curved surface, and is particularly used for generating a first cutting edge spiral line and a second cutting edge track spiral line by arranging a first end point and a second end point on the first cutting edge, and generating a third cutting edge track spiral line and a fourth cutting edge track spiral line by arranging a first end point and a second end point on the second cutting edge;
Forming a first blade track curved surface by using first and second blade track spiral lines generated by a first end point and a second end point on the first blade, forming a second blade track curved surface by using a third and fourth blade track spiral lines generated by a first end point and a second end point on the second blade, forming a chisel edge track curved surface by using the first blade track spiral line on the first blade and the third blade track spiral line on the second blade, and forming a blade track curved surface three-dimensional model according to the first blade track curved surface, the second blade track curved surface and the chisel edge track curved surface;
the worm tooth profile three-dimensional modeling unit is used for calculating the worm blank three-dimensional model, subtracting the blade track curved surface three-dimensional model and establishing a worm tooth profile three-dimensional model, and is specifically used for performing sheet thickening treatment on a first blade track curved surface, a second blade track curved surface and a chisel blade track curved surface on the blade track curved surface three-dimensional model to obtain a first blade track curved surface solid model;
copying the first blade track curved surface solid model, and generating a second blade track curved surface solid model in the positive direction of an X axis, wherein the distance between the first blade track curved surface solid model and the second blade track curved surface solid model is Pa;
And calculating the worm blank three-dimensional model, and subtracting the first blade track curved surface solid model and the second blade track curved surface solid model in sequence to generate a worm tooth profile three-dimensional model.
5. The extended involute worm machining tooth surface modeling device according to claim 4, wherein the worm tooth profile three-dimensional model unit further comprises a difference calculating module, and the difference calculating module is used for subtracting the first blade path curved surface solid model and the second blade path curved surface solid model from the worm blank three-dimensional model in sequence to generate a worm tooth profile three-dimensional model.
6. The extended involute worm machined tooth surface modeling apparatus according to claim 4, wherein the worm tooth profile three-dimensional modeling unit further comprises a worm three-dimensional modeling module, and the worm three-dimensional modeling module is configured to adjust the worm tooth profile three-dimensional model to complete construction of the worm three-dimensional model.
7. An extended involute worm machining tooth surface modeling apparatus comprising a processor, a memory, and a computer program stored in the memory and configured to be executed by the processor, the processor when executing the computer program implementing an extended involute worm machining tooth surface modeling method as claimed in any one of claims 1 to 3.
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| CN112643143B (en) * | 2020-11-13 | 2022-05-06 | 重庆大学 | Profile design method for drum-shaped worm grinding wheel of grinding face gear |
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| US6916140B2 (en) * | 2003-09-24 | 2005-07-12 | Yakov Fleytman | Method of producing an enveloping worm |
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