CN110110420B - Modeling method, device and equipment for machining tooth surface of cambered surface worm - Google Patents
Modeling method, device and equipment for machining tooth surface of cambered surface worm Download PDFInfo
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Abstract
The invention provides a cambered surface worm tooth surface machining modeling method, which comprises the following steps: according to the design parameters of the cambered surface worm, simulating the turning motion of the cambered surface worm and the relative position of a turning tool and the cambered surface worm, and establishing a three-dimensional model of a cambered surface worm blank; establishing a turning tool geometric model according to the geometric parameters of the turning tool, and establishing a cambered surface worm turning three-dimensional model by combining a cambered surface worm blank three-dimensional model and the turning tool geometric model; simulating the turning motion of a turning tool and the cambered surface worm according to the processing technological parameters of the cambered surface worm, and establishing a three-dimensional model of the blade track curved surface in sections; the three-dimensional model of the arc worm blank is calculated, the three-dimensional model of the blade track curved surface is subtracted, the three-dimensional model of the arc worm tooth profile is established, the three-dimensional model of the arc worm tooth profile is adjusted, and the construction of the three-dimensional model of the arc worm is completed.
Description
Technical Field
The invention relates to the field of worm machining modeling, in particular to a method, a device and equipment for machining and modeling a cambered surface worm tooth surface.
Background
With the development of the numerical control gear machining technology, the machining of the arc worm 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 arc worm is machined by the numerical control technology. At present, for some cambered surface worms with complex tooth surfaces, the coordinate parameters of the tooth surfaces are obtained by the main means of carrying out complex conjugate equation solving or complex operation of intersecting and then surface fitting by a dispersion 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 becomes more and more necessary to establish a three-dimensional solid model of the arc worm for obtaining high-precision coordinate parameters meeting the requirements of numerical control machining. In order to obtain the three-dimensional entity of the high-precision cambered surface worm quickly, the efficient and correct cambered surface worm modeling method is the basis.
Disclosure of Invention
The invention discloses a method, a device and equipment for modeling the processing of a tooth surface of a cambered surface worm.
The first embodiment of the invention provides a cambered surface worm tooth surface machining modeling method, which comprises the following steps:
according to the design parameters of the cambered surface worm, simulating the turning motion of the cambered surface worm and the relative position of a turning tool and the cambered surface worm, and establishing a three-dimensional model of a cambered surface worm blank;
establishing a turning tool geometric model according to the geometric parameters of the turning tool, and establishing a cambered surface worm turning three-dimensional model by combining the cambered surface worm blank three-dimensional model and the turning tool geometric model;
according to the processing technological parameters of the arc surface worm, the turning motion of the turning tool and the arc surface worm is simulated, and a three-dimensional model of the blade track curved surface is established in sections;
and calculating the three-dimensional model of the arc surface worm blank, subtracting the three-dimensional model of the blade track curved surface, establishing the three-dimensional model of the arc surface worm tooth profile, adjusting the three-dimensional model of the arc surface worm tooth profile, completing the construction of the three-dimensional model of the arc surface worm, and providing a high-precision model and coordinate parameters for a machine tool when the arc surface worm is machined.
Preferably, according to the processing parameters of the arc surface worm, the turning motion of the turning tool and the arc surface worm is simulated, and a three-dimensional model of the blade track curved surface 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, a first cutting edge track spiral line and a second cutting edge track spiral line are generated in a segmented mode, the second cutting edge is provided with a first end point and a second end point, and a third cutting edge track spiral line and a fourth cutting edge track spiral line are generated in a segmented mode;
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 first blade path helix, the second blade path helix, the third blade path helix and the fourth blade path helix are generated by dividing into 7 segments.
Preferably, the pitches and radii of the first, second, third and fourth blade path helices are all non-linearly varied.
Preferably, the turning tool makes a circular arc motion.
Preferably, the measurement of the working relief angle of the arc-shaped worm is further included after the construction of the three-dimensional arc-shaped worm model is completed by calculating the three-dimensional arc-shaped worm blank model and subtracting the three-dimensional blade track curved surface model to establish the three-dimensional arc-shaped worm tooth profile model and adjusting the three-dimensional arc-shaped worm tooth profile model, and specifically includes:
according to the design parameters of the cambered surface worm, a cylindrical three-dimensional model is established, the cambered surface worm three-dimensional model and the turning tool are operated, the cylindrical three-dimensional model is subtracted, and then the included angles between the first cutting edge rear cutter face and the tooth face of the cambered surface worm and the included angles between the second cutting edge rear cutter face and the tooth face of the cambered surface worm are obtained, namely the working relief angle of the cambered surface worm is obtained.
The second embodiment of the invention provides a cambered surface worm tooth surface machining modeling method and device, which comprises the following steps:
the cambered surface worm blank modeling unit is used for simulating the turning motion of the cambered surface worm and the relative position of a turning tool and the cambered surface worm according to the design parameters of the cambered surface worm, and establishing a three-dimensional model of the cambered surface worm blank;
the cambered surface worm turning modeling unit is used for establishing a turning tool geometric model according to the geometric parameters of a turning tool and establishing a cambered surface worm turning three-dimensional model by combining the cambered surface worm blank three-dimensional model and the turning tool geometric model;
the three-dimensional modeling unit of the blade track curved surface is used for simulating the turning motion of the turning tool and the cambered surface worm according to the processing technological parameters of the cambered surface worm and establishing a three-dimensional model of the blade track curved surface in sections;
and the cambered surface worm tooth profile three-dimensional modeling unit is used for calculating the cambered surface worm blank three-dimensional model and subtracting the blade track curved surface three-dimensional model to complete the construction of the cambered surface worm three-dimensional model.
Preferably, the three-dimensional model unit of the arc worm tooth profile further comprises a difference calculating module, and the difference calculating module is used for subtracting the multi-segment blade edge trajectory curved surface solid model from the three-dimensional model of the arc worm blank in sequence.
The third embodiment of the invention provides cambered surface worm tooth surface machining modeling equipment, which comprises a processor, a memory and a computer program stored in the memory and configured to be executed by the processor, wherein the processor realizes the cambered surface worm tooth surface machining modeling method when executing the computer program.
Based on the method, the device and the equipment for processing and modeling the tooth surface of the cambered surface worm, a three-dimensional model of a cambered surface worm blank and a three-dimensional model of a turning tool are established according to design parameters of the cambered surface worm and the turning tool and simulated turning motion, a track spiral line is formed in a segmented mode according to the end points of the turning tool, then the track curved surface three-dimensional model is formed, the track curved surface three-dimensional model is subtracted from the cambered surface worm through operation on the cambered surface worm blank, then the three-dimensional model of the tooth profile of the cambered surface worm is obtained, and a high-precision model and coordinate parameters are provided for numerical control processing.
Drawings
FIG. 1 is a schematic flow chart of a modeling method for machining a tooth surface of a cambered surface worm according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a three-dimensional model for processing a cambered surface worm according to an embodiment of the present invention;
FIG. 3 is a front view of a three-dimensional cambered surface worm machining model provided by the embodiment of the invention;
FIG. 4 is a left side view of a three-dimensional cambered surface worm machining model provided by the embodiment of the invention;
FIG. 5 is a top view of a three-dimensional model for cambered surface worm machining provided by an embodiment of the present invention;
FIG. 6 is a schematic diagram of a three-dimensional model of a curved worm turning edge trajectory provided by an embodiment of the invention;
FIG. 7 is a schematic diagram of a three-dimensional model of a cambered surface worm tooth profile provided by an embodiment of the invention;
FIG. 8 is a sectional bottom view of a three-dimensional model of a cambered worm tooth profile provided by an embodiment of the present invention;
fig. 9 is a schematic diagram of a three-dimensional model of a cambered surface 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 described clearly and completely with reference to the accompanying drawings of the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all embodiments of the present invention. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention. Thus, the following detailed description of the embodiments of the present invention, 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 any inventive step based on the embodiments of the present invention, are within the scope of the present invention.
The following detailed description of specific embodiments of the invention refers to the accompanying drawings.
The invention discloses a method, a device and equipment for modeling the processing of a tooth surface of a cambered surface worm.
Referring to fig. 1, a first embodiment of the present invention provides a method for modeling a cambered surface worm tooth surface, including:
s101, simulating turning motion of the arc worm and relative positions of a turning tool and the arc worm according to design parameters of the arc worm, and establishing a three-dimensional model of an arc worm blank;
s102, establishing a turning tool geometric model according to the geometric parameters of the turning tool, and establishing a cambered worm turning three-dimensional model by combining the cambered worm blank three-dimensional model and the turning tool geometric model;
referring to fig. 2 to 5, fig. 2 is a three-dimensional model of turning of the cambered worm, in which x, y, and z are coordinate axes, 1 is a blank of the cambered worm, 2 is a turning tool for machining the blank of the cambered worm, n1 is a turning speed (r/min) of the turning tool during machining, and n is a blank turning speed (r/min) during machining. n1/n is z/z 1. Z is the number of teeth of the worm wheel (number), Z1 is the number of teeth of the arc surface worm (number), FIG. 3 is a front view of a three-dimensional model for turning the arc surface worm, in FIG. 3, 1 is a blank of the arc surface worm, 2 is a turning tool for processing the blank of the arc surface worm, and L is the length (mm) of the tooth profile area of the arc surface worm. Rf2 is the radius of the root circle of the worm gear (mm), and L1 is the distance (mm) between the turning center of the turning tool and the turning center of the blank. Fig. 4 is a left side view of the three-dimensional model of turning the arc surface worm, 1 is a blank of the arc surface worm, 2 is a turning tool for processing the blank of the arc surface worm, fig. 5 is a top view of the three-dimensional model of turning the arc surface worm, 1 is a blank of the arc surface worm, and 2 is a turning tool for processing the blank of the arc surface worm.
S103, simulating the turning motion of the turning tool and the arc surface worm according to the processing technological parameters of the arc surface worm, and establishing a three-dimensional model of the blade track curved surface in sections;
referring to fig. 6, the turning tool is provided with a first blade 6 and a second blade 4, the first blade 6 is provided with a first end point and a second end point, a first blade trajectory helix and a second blade trajectory helix are generated in a segmented manner, the second blade 4 is provided with a first end point and a second end point, and a third blade trajectory helix and a fourth blade trajectory helix are generated in a segmented manner;
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 6, 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 4, forming a chisel edge track curved surface by using the first blade track spiral line on the first blade 6 and the third blade track spiral line on the second blade 4, 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. The first end of the first blade 6 and the first end of the second blade 4 form a chisel edge 5.
S104, calculating the three-dimensional model of the arc worm blank, subtracting the three-dimensional model of the blade track curved surface, building a three-dimensional arc worm tooth profile model 7 as shown in FIG. 7, adjusting the three-dimensional arc worm tooth profile model 7, completing the building 7 of the three-dimensional arc worm model, and providing a high-precision model and coordinate parameters for a machine tool when the arc worm is machined.
In this embodiment, the first blade trajectory helix, the second blade trajectory helix, the third blade trajectory helix and the fourth blade trajectory helix are generated by dividing into 7 segments. It should be noted that the trajectory spiral generated according to the end points on the first cutting edge and the second cutting edge is generated in segments, and is preferably generated in 7 segments, and may also be generated in 6 segments, 8 segments, etc., and please refer to fig. 7 without specific limitation, wherein the pitch Pa of each segment is equal to the projection length of the corresponding worm wheel peripheral node on the worm axis when the worm wheel and the worm are engaged.
In this embodiment, the thread pitches Pa and the radii of the first blade path helix, the second blade path helix, the third blade path helix, and the fourth blade path helix are all non-linearly changed, and it should be noted that the radius of each segment of helix is equal to the distance from the corresponding blade end point to the worm axis.
In this embodiment, the turning tool makes a circular arc motion. Please refer to fig. 3, the turning tool 1 performs a circular motion as shown in fig. 3 during the turning process.
In this embodiment, the calculating the three-dimensional model of the arc worm blank to subtract the three-dimensional model of the blade track curved surface, establishing the three-dimensional model of the arc worm tooth profile, adjusting the three-dimensional model of the arc worm tooth profile, and after the construction of the three-dimensional model of the arc worm is completed, measuring the working relief angle of the arc worm, specifically:
referring to fig. 7, according to design parameters of the arc worm, a cylindrical three-dimensional model is established, the three-dimensional model of the arc worm and the turning tool are calculated, and the cylindrical three-dimensional model is subtracted, so that included angles between the first blade flank and the second blade flank and the tooth flank of the arc worm are obtained, that is, the working relief angle of the arc worm is shown in fig. 8. Wherein α oe1 is the left working clearance angle (°), α oe2 is the right working clearance angle (°), 10 is the left flank face, 11 is the right flank face, 12 is the left flank face, and 13 is the right flank face. It should be noted that the axial direction of the cylinder is the y coordinate direction, the radius of the cylinder is preferably 34mm, and other values corresponding to the tooth surface height, such as 35, 37, etc., may also be used according to practical situations, and are not specifically limited herein, and it should be noted that the height of the cylinder should be greater than the diameter of the cambered surface worm blank.
Referring to fig. 9, the three-dimensional model of the arc worm tooth profile is improved, and the transmission section 8 and the support section 9 are added to obtain the three-dimensional model of the worm.
The second embodiment of the invention provides a cambered surface worm tooth surface machining modeling method and device, which comprises the following steps:
the cambered surface worm blank modeling unit is used for simulating the turning motion of the cambered surface worm and the relative position of a turning tool and the cambered surface worm according to the design parameters of the cambered surface worm, and establishing a three-dimensional model of the cambered surface worm blank;
the cambered surface worm turning modeling unit is used for establishing a turning tool geometric model according to the geometric parameters of the turning tool and establishing a cambered surface worm turning three-dimensional model by combining the cambered surface worm blank three-dimensional model and the turning tool geometric model;
the cutting edge track curved surface three-dimensional modeling unit is used for simulating the turning motion of the turning tool and the cambered surface worm according to the cambered surface worm machining process parameters and establishing a cutting edge track curved surface three-dimensional model in a segmented manner;
and the cambered surface worm tooth profile three-dimensional modeling unit is used for calculating the cambered surface worm blank three-dimensional model and subtracting the blade track curved surface three-dimensional model to complete the construction of the cambered surface worm three-dimensional model.
Preferably, the three-dimensional model unit of the arc worm tooth profile further comprises a difference calculating module, and the difference calculating module is used for subtracting the multi-segment blade edge trajectory curved surface solid model from the three-dimensional model of the arc worm blank in sequence.
The third embodiment of the invention provides cambered surface worm tooth surface machining modeling equipment, which comprises a processor, a memory and a computer program stored in the memory and configured to be executed by the processor, wherein the processor realizes the cambered surface worm tooth surface machining modeling method when executing the computer program.
Based on the method, the device and the equipment for processing and modeling the tooth surface of the cambered surface worm, a three-dimensional model of a cambered surface worm blank and a three-dimensional model of a turning tool are established according to design parameters of the cambered surface worm and the turning tool and simulated turning motion, a track spiral line is formed in a segmented mode according to the end points of the turning tool, then the track curved surface three-dimensional model is formed, the track curved surface three-dimensional model is subtracted from the cambered surface worm through operation on the cambered surface worm blank, then the three-dimensional model of the tooth profile of the cambered surface worm is obtained, and a high-precision model and coordinate parameters are provided for numerical control processing.
The above is only a preferred embodiment of the present invention, and the protection scope of the present invention is not limited to the above-mentioned embodiments, and all technical solutions belonging to the idea of the present invention belong to the protection scope of the present invention.
Claims (7)
1. A cambered surface worm tooth surface machining modeling method is characterized by comprising the following steps:
according to the design parameters of the cambered surface worm, simulating the turning motion of the cambered surface worm and the relative position of a turning tool and the cambered surface worm, and establishing a three-dimensional model of a cambered surface worm blank;
establishing a turning tool geometric model according to the geometric parameters of the turning tool, and establishing a cambered surface worm turning three-dimensional model by combining the cambered surface worm blank three-dimensional model and the turning tool geometric model;
according to the arc surface worm machining process parameters, simulating the turning motion of the turning tool and the arc surface worm, and establishing a blade track curved surface three-dimensional model in a segmented manner, wherein the method 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, a first cutting edge track spiral line and a second cutting edge track spiral line are generated in a segmented mode, the second cutting edge is provided with a first end point and a second end point, and a third cutting edge track spiral line and a fourth cutting edge track spiral line are generated in a segmented mode;
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 model of the arc surface worm blank, subtracting the three-dimensional model of the blade track curved surface, establishing the three-dimensional model of the arc surface worm tooth profile, adjusting the three-dimensional model of the arc surface worm tooth profile, completing the construction of the three-dimensional model of the arc surface worm, providing a high-precision model and coordinate parameters for a machine tool when the arc surface worm is machined, and then measuring the working relief angle of the arc surface worm, wherein the measurement specifically comprises the following steps:
according to the design parameters of the cambered surface worm, a cylindrical three-dimensional model is established, the cambered surface worm three-dimensional model and the turning tool are operated, the cylindrical three-dimensional model is subtracted, and then the included angles between the first cutting edge rear cutter face and the tooth face of the cambered surface worm and the included angles between the second cutting edge rear cutter face and the tooth face of the cambered surface worm are obtained, namely the working relief angle of the cambered surface worm is obtained.
2. The cambered surface worm tooth surface machining modeling method according to claim 1, wherein the first blade trajectory helix, the second blade trajectory helix, the third blade trajectory helix and the fourth blade trajectory helix are generated by dividing into 7 segments.
3. The cambered surface worm tooth surface machining modeling method according to claim 1, wherein the pitches and radii of the first blade path helix, the second blade path helix, the third blade path helix and the fourth blade path helix all vary non-linearly.
4. The modeling method for cambered surface worm tooth surface machining according to claim 1, wherein the turning tool makes circular arc motion.
5. The utility model provides a cambered surface worm flank of tooth processing modeling device which characterized in that includes:
the cambered surface worm blank modeling unit is used for simulating the turning motion of the cambered surface worm and the relative position of a turning tool and the cambered surface worm according to the design parameters of the cambered surface worm, and establishing a three-dimensional model of the cambered surface worm blank;
the cambered surface worm turning modeling unit is used for establishing a turning tool geometric model according to the geometric parameters of a turning tool and establishing a cambered surface worm turning three-dimensional model by combining the cambered surface worm blank three-dimensional model and the turning tool geometric model;
the three-dimensional modeling unit of the cutting edge track curved surface is used for simulating the turning motion of the turning tool and the cambered surface worm according to the processing technological parameters of the cambered surface worm, and establishing a three-dimensional model of the cutting edge track curved surface in sections, and is specifically used for: 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, a first cutting edge track spiral line and a second cutting edge track spiral line are generated in a segmented mode, the second cutting edge is provided with a first end point and a second end point, and a third cutting edge track spiral line and a fourth cutting edge track spiral line are generated in a segmented mode;
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 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 according to the first blade track curved surface, the second blade track curved surface and the chisel edge track curved surface;
the three-dimensional modeling unit of the arc surface worm tooth profile is used for calculating the three-dimensional model of the arc surface worm blank, subtracting the three-dimensional model of the blade track curved surface, and completing the construction of the three-dimensional model of the arc surface worm, and then measuring the working relief angle of the arc surface worm, and specifically comprises the following steps:
according to the design parameters of the cambered surface worm, a cylindrical three-dimensional model is established, the cambered surface worm three-dimensional model and the turning tool are operated, the cylindrical three-dimensional model is subtracted, and then the included angles between the first cutting edge rear cutter face and the tooth face of the cambered surface worm and the included angles between the second cutting edge rear cutter face and the tooth face of the cambered surface worm are obtained, namely the working relief angle of the cambered surface worm is obtained.
6. The cambered surface worm tooth surface machining modeling device according to claim 5, wherein the cambered surface worm tooth profile three-dimensional model unit further comprises a difference calculating module for sequentially subtracting a plurality of sections of blade track curved surface solid models from the cambered surface worm blank three-dimensional model.
7. Cambered surface worm tooth surface machining modeling equipment is characterized by comprising a processor, a memory and a computer program which is stored in the memory and configured to be executed by the processor, wherein the processor executes the computer program to realize the cambered surface worm tooth surface machining modeling method according to any one of claims 1 to 4.
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| 平面二次包络环面蜗杆数字化实体建模研究;刘志等;《机械设计与制造》;20170331(第03期);第242-245、249页 * |
| 球面包络环面蜗杆齿形分析及加工;蔡英杰等;《福州大学学报(自然科学版)》;20030228;第31卷(第01期);第62-64页 * |
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