Worm tooth surface with segmented design and method of design

Abstract

The application provides a worm tooth surface with a segmented design and a design method. The worm tooth surface with the segmented design comprises: a one-side worm tooth surface and an opposite-side worm tooth surface, each of which comprises a meshing-in segment tooth surface, a meshing segment tooth surface, a transition segment tooth surface and a non-meshing segment tooth surface arranged in sequence; the one-side worm tooth surface is arranged along a first direction, the opposite-side worm tooth surface is arranged along a second direction, and the lengths of the segments of the one-side worm tooth surface and the opposite-side worm tooth surface are respectively corresponding and the same; the first direction and the second direction are opposite; wherein the worm tooth surface comprises a facing surface towards the rotating direction of the worm wheel, at the meshing segment tooth surface, the facing surface is in zero side gap contact with the worm wheel tooth surface, and the acting force between the facing surface and the worm wheel tooth surface is A, A>0; at the non-meshing segment tooth surface, the back surface is in zero side gap contact with the worm wheel tooth surface, and the acting force between the back surface and the worm wheel tooth surface is B, B=0.

Description

Technical Field

[0001] This application belongs to the field of mechanical transmission technology, and in particular relates to a worm gear tooth surface with segmented design and its design method. Background Technology

[0002] Worm gear drives, as a typical interleaved shaft transmission mechanism, occupy an irreplaceable position in fields such as industrial robots, CNC machine tools, elevators, automotive steering systems, and aerospace equipment due to their advantages such as compact structure, large transmission ratio, and strong self-locking. However, the transmission backlash in worm gear drives can cause impact vibrations between the meshing teeth, affecting transmission smoothness and accuracy, making it difficult to meet high-precision requirements.

[0003] Existing research on backlash elimination structures mainly focuses on applying external conditions to the transmission structure to eliminate backlash, resulting in relatively complex device structures. Summary of the Invention

[0004] In view of this, this application provides a worm gear tooth surface with a segmented design, which eliminates transmission backlash and simplifies the structure through its segmented tooth surface structure.

[0005] To achieve the above objectives, this application provides the following technical solution:

[0006] A worm gear tooth surface with a segmented design includes:

[0007] The worm tooth surface on one side and the worm tooth surface on the other side of the worm gear each include a sequentially connected engagement section tooth surface, a meshing section tooth surface, a transition section tooth surface, and a non-meshing section tooth surface. The engagement section tooth surface is the initial tooth surface that meshes with the worm wheel tooth surface. The meshing section tooth surface is the tooth surface that meshes with the worm wheel tooth surface with zero backlash. The transition section tooth surface is used to realize the transition of the worm wheel tooth surface between the engagement section tooth surface and the non-meshing section tooth surface. The non-meshing section tooth surface is the engagement tooth surface used for the worm wheel tooth surface.

[0008] The engagement section, meshing section, transition section, and non-meshing section of the worm tooth surface on one side are arranged along a first direction, while the engagement section, meshing section, transition section, and non-meshing section of the worm tooth surface on the other side are arranged along a second direction. The lengths of the engagement section, meshing section, transition section, and non-meshing section of the worm tooth surface on one side are the same as those of the engagement section, meshing section, transition section, and non-meshing section of the worm tooth surface on the other side, wherein the first direction and the second direction are opposite.

[0009] The worm gear tooth surface includes an facing surface that faces the rotation direction of the worm wheel and a back surface that faces away from the rotation direction of the worm wheel.

[0010] At the meshing section tooth surface, the facing surface is in zero backlash contact with the worm gear tooth surface, and the force between the facing surface and the worm gear tooth surface is A, where A > 0;

[0011] At the transition section tooth surface, both the adjacent facing surface and the back facing surface have a gap with the worm gear tooth surface;

[0012] At the non-meshing section of the tooth surface, the back face is in zero backlash contact with the worm gear tooth surface, and the force between the back face and the worm gear tooth surface is B, where B = 0;

[0013] The worm gear tooth surface is obtained by the following method:

[0014] Step 1: Select the tool mother surface and establish the initial coordinates between the worm gear blank and the tool mother surface;

[0015] Step 2: Establish the equation for the diameter of the tool mother surface, and the diameter of the tool mother surface changes with a certain trend as the rotation angle of the worm gear blank. The equation of the tool mother surface has a shaping function.

[0016] Step 3: The tool mother surface and the worm gear blank rotate, and the revolution center point of the tool mother surface coincides with the rotation center of the worm gear blank, so as to form the worm gear tooth surface on one side;

[0017] Step 4: Repeat steps 1-3 to form the tooth surface on the other side of the worm.

[0018] Optionally, in the above-mentioned worm gear tooth surface with segmented design, the transition section tooth surface is curved to achieve a smooth transition of the worm gear tooth surface from the meshing section tooth surface to the non-meshing section tooth surface.

[0019] Optionally, in the above-mentioned worm gear tooth surface with segmented design, the meshing section tooth surface is curved to achieve smooth meshing between the worm gear tooth surface and the worm wheel tooth surface.

[0020] Optionally, in the above-mentioned worm gear tooth surface with segmented design, the equation in step 2 includes:

[0021] At the meshing section tooth surface, the equation for the diameter of the tool mother surface is: R(θ) = a0θ 2 +a1θ+a2, θ0≤θ≤θ1, where... θ0 is the rotation angle of the worm gear blank corresponding to the beginning of the meshing section tooth surface, θ1 is the rotation angle of the worm gear blank corresponding to the beginning of the meshing section tooth surface, R0 is the diameter of the tool mother surface at the meshing section tooth surface, and R2 is the diameter of the tool mother surface corresponding to the beginning of the meshing section tooth surface.

[0022] At the meshing section tooth surface, the equation for the diameter of the tool mother surface is: R(θ)=R0, θ1≤θ≤θ2, where θ1 is the rotation angle of the worm gear blank corresponding to the starting point of the meshing section tooth surface, θ2 is the rotation angle of the worm gear blank corresponding to the tail end of the meshing section tooth surface, and R0 is the diameter of the tool mother surface at the meshing section tooth surface;

[0023] At the transition section tooth surface, the equation for the diameter of the tool mother surface is: R(θ) = b0θ 3 +b1θ 2 +b2θ+b3, θ2≤θ≤θ3, where... θ2 is the rotation angle of the worm gear blank corresponding to the tail end of the meshing section tooth surface, θ3 is the rotation angle of the worm gear blank corresponding to the tail end of the transition section tooth surface, R0 is the diameter of the tool mother surface at the meshing section tooth surface, and R1 is the diameter of the tool mother surface at the non-meshing section tooth surface.

[0024] At the non-meshing section tooth surface, the equation for the diameter of the tool mother surface is: R(θ)=R1, θ≥θ3, where θ3 is the rotation angle of the worm gear blank corresponding to the tail end of the transition section tooth surface, and R1 is the diameter of the tool mother surface at the non-meshing section tooth surface.

[0025] This application provides a worm gear tooth surface with a segmented design. Both sides of the worm gear tooth surface are segmented, and the segmented engagement section, meshing section, transition section, and non-meshing section tooth surfaces are arranged along a first direction on one side of the tooth surface and along a second direction on the other side of the tooth surface, with the first and second directions being opposite. Furthermore, the lengths of the engagement section, meshing section, transition section, and non-meshing section tooth surfaces on one side and the other side are respectively the same. The worm gear tooth surface includes an oriented surface facing the rotation direction of the worm wheel and a back surface facing away from the rotation direction of the worm wheel. In the meshing section of the tooth surface, the oriented surface has zero backlash contact with the worm wheel tooth surface, and the force between the oriented surface and the worm wheel tooth surface is A, where A > 0. In the transition section of the tooth surface, both adjacent oriented and back surfaces have clearance with the worm wheel tooth surface. In the non-meshing section of the tooth surface, the back surface has zero backlash contact with the worm wheel tooth surface, and the force between the back surface and the worm wheel tooth surface is B, where B = 0. This achieves zero backlash meshing between the worm gear and the worm wheel during forward and reverse rotation.

[0026] In summary, the worm gear tooth surface eliminates transmission backlash, improves transmission accuracy, and simplifies the structure through its own structure. Attached Figure Description

[0027] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only embodiments of this application. For those skilled in the art, other drawings can be obtained based on the provided drawings without creative effort.

[0028] Figure 1 This is a schematic diagram of the worm gear tooth surface forming provided in this application;

[0029] Figure 2 A schematic diagram of a worm gear that can eliminate transmission backlash, provided for this application;

[0030] Figure 3 The segmented design worm gear tooth surface distribution diagram provided for this application;

[0031] Figure 4 This is a schematic diagram of the movement from the engagement section to the meshing section of the tool face provided in this application;

[0032] Figure 5 A schematic diagram of the motion of the meshing section of the tool's mother surface provided in this application;

[0033] Figure 6 This is a schematic diagram of the movement from the engagement section to the transition section of the tool's mother surface, provided in this application.

[0034] Figure 7 A schematic diagram of the motion of the non-meshing section of the tool's mother surface provided in this application;

[0035] Figure 8 This is a schematic diagram illustrating the variation in the diameter of the cylindrical tool's parent surface provided in this application;

[0036] Figure 9 The tool mother surface diameter is shown as a trend of change with the worm gear rotation angle in this application.

[0037] Figure 10 A schematic diagram illustrating the change in the diameter of the spherical tool's parent surface and the generated tooth shape provided in this application;

[0038] Figure 11 A schematic diagram illustrating the change in the diameter of the frustum-shaped tool face and the generation of the tooth profile provided in this application.

[0039] exist Figures 1-11 middle:

[0040] 1. Worm; 2. Worm tooth surface; 3. Engagement section tooth surface; 4. Meshing section tooth surface; 5. Transition section tooth surface; 6. Non-meshing section tooth surface; 7. Worm wheel; 8. Facing surface; 9. Backing surface; 10. Tool face; 11. Worm gear blank; E. Diameter change of the tool face corresponding to the transition from the engagement section tooth surface to the meshing section tooth surface; F. Diameter change of the tool face corresponding to the transition section tooth surface; G. Diameter change of the tool face corresponding to the transition section tooth surface; Detailed Implementation

[0041] This application provides a worm gear tooth surface with a segmented design, which eliminates transmission backlash through its segmented tooth surface structure, thus simplifying the structure.

[0042] The technical solutions of the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.

[0043] like Figures 1-11 As shown, the worm tooth surface 2 with a segmented design provided in this application includes a meshing section tooth surface 3, a meshing section tooth surface 4, a transition section tooth surface 5, and a non-meshing section tooth surface 6, which are sequentially and continuously arranged on both sides of the worm 1. The meshing section tooth surface 3 is the initial tooth surface that meshes with the worm wheel tooth surface of the worm wheel 7. The meshing section tooth surface 4 is the tooth surface that meshes with the worm wheel tooth surface with zero backlash. The transition section tooth surface 5 is used to realize the transition of the worm wheel tooth surface between the meshing section tooth surface 3 and the non-meshing section tooth surface 6. The non-meshing section tooth surface 6 is the tooth surface that is used for the meshing out of the worm wheel tooth surface.

[0044] The engagement section tooth surface 3, meshing section tooth surface 4, transition section tooth surface 5, and non-meshing section tooth surface 6 of one side of the worm tooth surface 2 are arranged along a first direction, while the engagement section tooth surface 3, meshing section tooth surface 4, transition section tooth surface 5, and non-meshing section tooth surface 6 of the other side of the worm tooth surface 2 are arranged along a second direction. The lengths of the engagement section tooth surface 3, meshing section tooth surface 4, transition section tooth surface 5, and non-meshing section tooth surface 6 of one side of the worm tooth surface 2 are the same as those of the engagement section tooth surface 3, meshing section tooth surface 4, transition section tooth surface 5, and non-meshing section tooth surface 6 of the other side of the worm tooth surface 2. The first direction and the second direction are opposite.

[0045] It should be noted that the first direction is the direction of spiraling from the first end to the second end of the worm 1 along the center line of the worm 1, and the second direction is the direction of spiraling from the second end to the first end of the worm 1 along the center line of the worm 1. The first end and the second end refer to the two ends that are set on the worm 1 along the worm axial direction, and the direction of the center line of the worm 1 is consistent with the axial direction of the worm 1.

[0046] Among them, such as Figure 2 As shown, the worm tooth surface 2 of the worm 1 includes an facing surface 8 facing the rotation direction of the worm wheel 7 and a back surface 9 facing away from the rotation direction of the worm wheel 7. At the meshing section tooth surface 4, the facing surface 8 is in zero backlash contact with the worm wheel 7 tooth, and the force between the facing surface 8 and the worm wheel 7 tooth is A, where A > 0. That is to say, at the meshing section tooth surface 4, there is zero backlash between the facing surface 8 and the worm wheel 7, and it carries the load. At the transition section tooth surface 5, the adjacent facing surface 8 and back surface 9 both have clearance with the worm wheel 7 tooth. At the non-meshing section tooth surface 6, the facing surface 8 is in zero backlash contact with the worm wheel 7 tooth, and the force between the facing surface 8 and the worm wheel 7 tooth is B, where B = 0. That is to say, at the non-meshing section tooth surface 6, although there is zero backlash between the facing surface 8 and the worm wheel 7 tooth, it does not carry the load.

[0047] It should be noted that the facing surface 8 and the back surface 9 will switch depending on the direction of rotation of the worm gear 7. For example, when the worm gear 7 rotates clockwise, if the worm tooth surface 2 is facing surface 8, then when the worm gear 7 rotates counterclockwise, the worm tooth surface 2 facing surface 8 will switch to the back surface 9. Similarly, when the worm gear 7 rotates clockwise, if the worm tooth surface 2 is the back surface 9, then when the worm gear 7 rotates counterclockwise, the worm tooth surface 2 facing surface 9 will switch to the facing surface 8.

[0048] Among them, such as Figure 3 As shown, the transition section tooth surface 5 is curved to achieve a smooth transition of the worm gear tooth surface from the meshing section tooth surface 4 to the non-meshing section tooth surface 6, thereby reducing the impact vibration caused by the change of the worm tooth surface 2.

[0049] In addition, such as Figure 3 As shown, the tooth surface 3 of the meshing section is curved to achieve smooth meshing between the worm tooth surface 2 and the worm wheel tooth surface, and reduce the impact vibration of the tooth entering the tooth.

[0050] The segmented tooth surface of the worm gear of this application is obtained by the following method, which includes:

[0051] Step 1: Select the tool mother surface 10 and establish the initial coordinates between the worm gear blank 11 of the worm gear 1 and the tool mother surface 10;

[0052] Step 2, establish the equation for the diameter of the tool mother surface 10:

[0053] Step 3: The tool mother surface 10 and the worm gear blank 11 rotate, and the revolution center point of the tool mother surface 10 coincides with the rotation center of the worm gear blank 11, so as to form the worm gear tooth surface 2 on one side;

[0054] Step 4: Repeat steps 1-3 above to form the other side worm tooth surface 2.

[0055] In one example, such as Figure 1 As shown, in step 1, the tool mother surface 10 can be a cylinder, a frustum, or a sphere, etc. The initial position coordinates σ of the worm gear blank 11 and the tool mother surface 10 during their revolution are established. q (o q -x q ,y q ,z q ), σ p (o p -x p ,y p ,z p The worm gear blank 11 is fixed to the motion coordinate σ2 (o2-x2,y2,z2) and rotates about its central axis z2 in the direction of rotation ω1. The center point of the tool mother surface 10 is the same as the center of rotation of the worm wheel and is fixed to the motion coordinate σ1 (o1-x1,y1,z1) and rotates about its central axis z1 in the direction of rotation ω2. The displacement angles of the worm gear blank 11 and the tool mother surface 10 are φ2 and φ1, respectively. The diameter of the tool mother surface 10 changes with a certain trend as the displacement angle φ2 of the worm 1 (which is the same as the rotation angle θ). ω1 and ω2 are related to the transmission ratio i of the worm gear 1, i=Z2 / Z1, the number of worm 1 threads Z1, the number of worm gear teeth Z2, the worm 1 rotational speed: ω2=ω1×i, the revolution speed of the tool mother surface 10: ω1=ω2 / i, and φ2 / φ1=ω2 / ω1; the central axis x2 of the worm gear blank 11 is based on the revolution central axis z1 of the tool mother surface 10, and the distance between them is the center distance D of the worm gear 1; the movement of the tool mother surface 10 is consistent with the worm gear teeth, and the rotational movement of the tool mother surface 10 and the worm 1 satisfies the meshing relationship of the worm gear 1, and the envelope forms the worm gear tooth surface 2.

[0056] In step 2, taking a cylinder as the tool face 10 as an example, the diameter of the tool face 10 changes with the rotation angle of the worm gear blank 11. Without interference, the values ​​of R1 and R2 can be reasonably chosen. For example, R0 = 6.5mm, R1 = 8.5mm, and R2 = 9.5mm, where R0 is guaranteed to be equal to the diameter of the worm gear tooth. Figure 8 , Figure 9 As shown, when the tool mother surface 10 enters the meshing section tooth surface 3 of the worm tooth surface 2, the diameter of the tool mother surface 10 begins to gradually decrease. An unreasonable change in the diameter of the tool mother surface 10 will cause a step in the segment position, affecting the transmission performance. Therefore, the meshing section tooth surface 3 is modified with a high-order polynomial to establish the tooth profile. Please refer to the following explanation for the specific equation.

[0057] like Figure 8 , Figure 9As shown, the tool mother surface 10 enters the transition section tooth surface 5. Similarly, in order to avoid unreasonable changes in the diameter of the tool mother surface 10, which would cause a step in the segment position and affect the transmission performance, the transition section tooth surface 5 adopts a cubic polynomial to establish the modified tooth profile. Please refer to the following description for the specific equation.

[0058] Among them, at the tooth surface 3 of the meshing section, the equation for the diameter of the tool mother surface 10 is: R(θ)=a0θ 2 +a1θ+a2, θ0≤θ≤θ1, where... θ0 is the rotation angle of the worm gear blank 11 corresponding to the beginning of the meshing section, θ1 is the rotation angle of the worm gear blank 11 corresponding to the beginning of the meshing section, R0 is the diameter of the tool mother surface 10 in the meshing section, and R2 is the diameter of the tool mother surface 10 corresponding to the beginning of the meshing section.

[0059] At the tooth surface 4 of the meshing section, the equation for the diameter of the tool mother surface 10 is: R(θ)=R0, θ1≤θ≤θ2, where θ1 is the rotation angle of the worm gear blank 11 corresponding to the starting point of the meshing section, θ2 is the rotation angle of the worm gear blank 11 corresponding to the tail end of the meshing section, and R0 is the diameter of the tool mother surface at the tooth surface of the meshing section.

[0060] At the transition section tooth surface 5, the equation for the diameter of the tool mother surface 10 is: R(θ) = b0θ 3 +b1θ 2 +b2θ+b3, θ2≤θ≤θ3, where... θ2 is the rotation angle of the worm gear blank 11 corresponding to the tail end of the meshing section, θ3 is the rotation angle of the worm gear blank 11 corresponding to the tail end of the transition section, R0 is the diameter of the tool mother surface 10 in the meshing section, and R1 is the diameter of the tool mother surface 10 in the non-meshing section.

[0061] At the non-meshing section tooth surface 6, the equation for the diameter of the tool mother surface 10 is: R(θ)=R1, θ≥θ3, where θ3 is the rotation angle of the worm gear blank 11 corresponding to the tail end of the transition section, and R1 is the diameter of the tool mother surface 10 in the non-meshing section.

[0062] like Figure 9 As shown, the equation for the tool mother surface 10 established in this application has a shaping effect. The diameter of the tool mother surface 10 transitions smoothly at each segment of the tooth surface, avoiding the occurrence of hard bending. Because the worm tooth surface 2 formed by the tool mother surface 10 in this application can transition smoothly at each segment of the tooth surface, the impact vibration caused by the change of the worm tooth surface 2 is reduced. More specifically, as... Figure 9 The solid line mark 13 in the figure represents the trend of the diameter variation of the unmodified tool mother surface 10. Figure 9The dashed line 12 in the figure represents the change trend of the diameter of the modified tool mother surface 10. The change curve of the diameter of the unmodified tool mother surface 10 has an inflection point at the segment of the worm tooth surface 2. An unreasonable change in the diameter of the tool mother surface 10 will cause a step in the segment position. The change curve of the diameter of the modified tool mother surface 10 has no inflection point at the segment of the worm tooth surface 2, and the change is smooth. The enveloping segment tooth surface is more stable, effectively reducing the adverse effects of the step and improving the transmission performance.

[0063] It should be noted that the starting angle θ0 and ending angle θ4 of worm 1 are related to the number of meshing teeth of worm gear 1. Let the number of meshing teeth be N, θ0 = -(N+1)π, θ4 = (N-1)π, and the throat angle θ2 of worm 1 = (θ4-θ0) / 2 - (N+1)π. The design of the mother surface 10 of other types of tools is similar, and its R variation trend satisfies Figure 8 trend.

[0064] It should also be pointed out that, in Figure 9 In the diagram, θ0-θ1 represents the rotation angle of the worm during the tooth surface formation stage of the meshing section; θ1-θ2 represents the rotation angle of the worm during the tooth surface formation stage of the meshing section; θ2-θ3 represents the rotation angle of the worm during the tooth surface formation stage of the transition section; and θ3-θ4 represents the rotation angle of the worm during the tooth surface formation stage of the transition section.

[0065] like Figure 10 As shown, the diagram illustrates the variation of the diameter R of the spherical tool mother surface 10, the parameters of R corresponding to the tool mother surface 10, and the generated worm tooth surface 2. Here, R is selected as the diameter of the sphere, generating the arc-shaped worm tooth surface 2. Figure 11 As shown, while ensuring that the height h of the frustum tool mother surface 10 is consistent with the cone angle β, R is selected as the diameter of its base to generate the conical worm tooth surface 2.

[0066] Taking the design of a single-sided segmented worm gear tooth surface 2 as an example, the worm 1 maintains axial rotation, and the tool mother surface 10 and the worm wheel tooth movement trajectory are consistent in enveloping motion. An initial diameter is given to the tool mother surface 10, the value of which is between the maximum tooth pitch of the worm 1 and the diameter of the worm wheel tooth (R2 is between 100% and 146% of R0, because if R2 is greater than 146% of R0, interference will occur between the two tooth surfaces when designing the other side). The tool mother surface 10 begins to envelop motion according to the worm wheel tooth trajectory, and simultaneously the worm 1 begins to rotate axially. The motion trajectory of the worm 1 and the tool mother surface 10 is consistent with the meshing trajectory of the worm wheel and worm 1; for example... Figure 4 As shown, as the tool mother surface 10 begins its enveloping motion, its diameter gradually decreases to the diameter of the worm gear teeth, forming the meshing section tooth surface 3 of the worm tooth surface 2; as Figure 5As shown, the worm 1 and the tool mother surface 10 continue their enveloping motion, but during this stage, the diameter of the tool mother surface 10 remains consistent with the diameter of the worm gear teeth, forming the meshing section tooth surface 4 of the worm tooth surface 2; as Figure 6 As shown, the worm 1 continues to rotate, and the tool face 10 continues to maintain the envelope motion along the trajectory of the worm gear teeth. During this stage, the radius of the tool face 10 gradually increases to a certain value, which is between the maximum tooth pitch and the diameter of the worm gear teeth, forming the transition section tooth surface 5 of the worm tooth surface 2; as shown... Figure 7 As shown, the worm 1 and the tool mother surface 10 continue to envelop each other until the tool mother surface 10 completes a full motion cycle of the worm gear teeth. During this stage, the diameter of the tool mother surface 10 maintains the final size of the transition stage diameter, forming the non-meshing section tooth surface 6 of the worm tooth surface 2.

[0067] It should be noted that, Figures 4-7 This is only a schematic diagram showing the change in diameter of the tool mother surface 10 when the tool mother surface 10 and the worm gear blank 11 envelop each other to form the worm gear tooth surface 2. In reality, at the initial stage when the tool mother surface 10 and the worm gear blank 11 envelop each other to form the worm gear tooth surface 2, there is no worm gear tooth surface 2 on the worm gear blank 11. The worm gear tooth surface 2 is gradually formed as the enveloping motion proceeds. For example, as the worm gear blank 11 rotates, the meshing section tooth surface 3 is formed first, and the meshing section tooth surface 4, the transition section tooth surface 5, and the non-meshing section tooth surface 6 are not formed.

[0068] The basic principles of this application have been described above with reference to specific embodiments. However, it should be noted that the advantages, benefits, and effects mentioned in this application are merely examples and not limitations, and should not be considered as essential features of each embodiment of this application. Furthermore, the specific details disclosed above are for illustrative and facilitative purposes only, and are not limitations. These details do not limit the application to the necessity of employing the aforementioned specific details for implementation.

[0069] The block diagrams of devices, apparatuses, devices, and systems involved in this application are merely illustrative examples and are not intended to require or imply that they must be connected, arranged, or configured in the manner shown in the block diagrams. As those skilled in the art will recognize, these devices, apparatuses, devices, and systems can be connected, arranged, and configured in any manner. Words such as “comprising,” “including,” “having,” etc., are open-ended terms meaning “including but not limited to,” and are used interchangeably with them. The terms “or” and “and” as used herein refer to the terms “and / or,” and are used interchangeably with them unless the context clearly indicates otherwise. The term “such as” as used herein refers to the phrase “such as but not limited to,” and is used interchangeably with it.

[0070] It should also be noted that in the apparatus, equipment, and housing of this application, each component or step can be disassembled and / or reassembled. These disassemblies and / or reassemblies should be considered as equivalent solutions of this application.

[0071] The above description of the disclosed aspects is provided to enable any person skilled in the art to make or use this application. Various modifications to these aspects will be readily apparent to those skilled in the art, and the general principles defined herein can be applied to other aspects without departing from the scope of this application. Therefore, this application is not intended to be limited to the aspects shown herein, but rather to be accorded the widest scope consistent with the principles and novel features disclosed herein.

[0072] It should be understood that the qualifying terms “first,” “second,” “third,” “fourth,” “fifth,” and “sixth” used in the description of the embodiments of this application are only used to more clearly illustrate the technical solutions and are not intended to limit the scope of protection of this application.

[0073] The above description has been given for purposes of illustration and description. Furthermore, this description is not intended to limit the embodiments of this application to the forms disclosed herein. Although numerous exemplary aspects and embodiments have been discussed above, those skilled in the art will recognize certain variations, modifications, alterations, additions, and sub-combinations thereof.

Claims

1. A worm gear tooth surface with a segmented design, characterized in that, include: The worm tooth surface on one side and the worm tooth surface on the other side of the worm gear each include a sequentially connected engagement section tooth surface, a meshing section tooth surface, a transition section tooth surface, and a non-meshing section tooth surface. The engagement section tooth surface is the initial tooth surface that meshes with the worm wheel tooth surface. The meshing section tooth surface is the tooth surface that meshes with the worm wheel tooth surface with zero backlash. The transition section tooth surface is used to realize the transition of the worm wheel tooth surface between the engagement section tooth surface and the non-meshing section tooth surface. The non-meshing section tooth surface is the engagement tooth surface used for the worm wheel tooth surface. The engagement section, meshing section, transition section, and non-meshing section of the worm tooth surface on one side are arranged along a first direction, while the engagement section, meshing section, transition section, and non-meshing section of the worm tooth surface on the other side are arranged along a second direction. The lengths of the engagement section, meshing section, transition section, and non-meshing section of the worm tooth surface on one side are the same as those of the engagement section, meshing section, transition section, and non-meshing section of the worm tooth surface on the other side, wherein the first direction and the second direction are opposite. The worm gear tooth surface includes an facing surface that faces the rotation direction of the worm wheel and a back surface that faces away from the rotation direction of the worm wheel. At the meshing section tooth surface, the facing surface is in zero backlash contact with the worm gear tooth surface, and the force between the facing surface and the worm gear tooth surface is A, where A > 0; At the transition section tooth surface, both the adjacent facing surface and the back facing surface have a gap with the worm gear tooth surface; At the non-meshing section of the tooth surface, the back face is in zero backlash contact with the worm gear tooth surface, and the force between the back face and the worm gear tooth surface is B, where B = 0; The worm gear tooth surface is obtained by the following method: Step 1: Select the tool mother surface and establish the initial coordinates between the worm gear blank and the tool mother surface; Step 2: Establish the equation for the diameter of the tool mother surface, and the diameter of the tool mother surface changes with a certain trend as the rotation angle of the worm gear blank. The equation of the tool mother surface has a shaping function. Step 3: The tool mother surface and the worm gear blank rotate, and the revolution center point of the tool mother surface coincides with the rotation center of the worm gear blank, so as to form the worm gear tooth surface on one side; Step 4: Repeat steps 1-3 to form the tooth surface on the other side of the worm.

2. The worm gear tooth surface with segmented design according to claim 1, characterized in that, The transition section tooth surface is curved to achieve a smooth transition of the worm gear tooth surface from the meshing section tooth surface to the non-meshing section tooth surface.

3. The worm gear tooth surface with segmented design according to claim 2, characterized in that, The meshing section tooth surface is curved to achieve smooth meshing between the worm tooth surface and the worm wheel tooth surface.

4. The worm gear tooth surface with segmented design according to claim 1, characterized in that, The equations in step 2 include: At the meshing section tooth surface, the equation for the diameter of the tool mother surface is: R(θ) = a0θ 2 +a1θ+a2, θ0≤θ≤θ1, where, θ0 is the rotation angle of the worm gear blank corresponding to the beginning of the meshing section tooth surface, θ1 is the rotation angle of the worm gear blank corresponding to the beginning of the meshing section tooth surface, R0 is the diameter of the tool mother surface at the meshing section tooth surface, and R2 is the diameter of the tool mother surface corresponding to the beginning of the meshing section tooth surface. At the meshing section tooth surface, the equation for the diameter of the tool mother surface is: R(θ)=R0, θ1≤θ≤θ2, where θ1 is the rotation angle of the worm gear blank corresponding to the starting point of the meshing section tooth surface, θ2 is the rotation angle of the worm gear blank corresponding to the tail end of the meshing section tooth surface, and R0 is the diameter of the tool mother surface at the meshing section tooth surface; At the transition section tooth surface, the equation for the diameter of the tool mother surface is: R(θ) = b0θ 3 +b1θ 2 +b2θ+b3, θ2≤θ≤θ3, where... θ2 is the rotation angle of the worm gear blank corresponding to the tail end of the meshing section tooth surface, θ3 is the rotation angle of the worm gear blank corresponding to the tail end of the transition section tooth surface, R0 is the diameter of the tool mother surface at the meshing section tooth surface, and R1 is the diameter of the tool mother surface at the non-meshing section tooth surface. At the non-meshing section tooth surface, the equation for the diameter of the tool mother surface is: R(θ)=R1, θ≥θ3, where θ3 is the rotation angle of the worm gear blank corresponding to the tail end of the transition section tooth surface, and R1 is the diameter of the tool mother surface at the non-meshing section tooth surface.

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