Method for modifying tooth surface of mining machinery electric wheel according to tooth surface equation

Abstract

The invention discloses a modification method for a tooth surface of a mining machinery electric wheel based on a tooth surface equation, and relates to the technical field of gear transmission. According to the modification method for the tooth surface of the mining machinery electric wheel based on the tooth surface equation, the reasons of large transmission error and uneven tooth surface load of a planetary gearbox are analyzed by utilizing Romax software, and a gear set needing to be subjected to modification is judged; establishing a cylindrical coordinate system for a gear to be modified by taking the tooth length direction as a z axis and taking an involute starting point as a coordinate origin; the method comprises the following steps: selecting an orthogonal table according to size parameters of a gear needing to be shaped, determining value ranges of six parameters sigma, omega, gamma, beta, mu and # imgabs0 #, and determining tooth direction parameters needing to be shaped; carrying out gear modification in Romax software, and substituting an orthogonal experiment into a tooth surface equation to generate a limited number of tooth surface points; and generating a modified tooth surface through curved surface fitting, and observing the transmission error and the load condition of the modified tooth surface through Romax software.

Description

Technical Field

[0001] The invention relates to the technical field of gear transmission, and in particular to a method for modifying the tooth surface of an electric wheel of a mining machine based on a tooth surface equation. Background Art

[0002] The electric wheel assembly is the core component of a heavy-duty mining dump truck. It is a typical NW planetary reduction mechanism, in which the large planetary gear and the small planetary gear are assembled together by interference fit. One of the tooth grooves between the large planetary gear and the small planetary gear is required to be aligned, and the installation requires an alignment error of ±0.6′. The sun gear and the inner ring gear adopt a radial double floating design, fixing the axes of the three planetary gears, and the sun gear and the inner ring gear are supported by the planetary gears. In the actual production process, the assembled planetary gear system will have a large meshing noise problem during the no-load test. Taking into account various incentive factors such as working condition changes, installation errors, and component manufacturing errors, the system installation errors and the influence of working conditions on the dynamic response characteristics of the system are analyzed; the influence of gear tooth modification on the vibration response of the system is explored to provide theoretical guidance for vibration reduction and noise reduction. Summary of the invention

[0003] The purpose of the present invention is to solve at least one of the technical problems existing in the prior art and to provide a method for modifying the tooth surface of an electric wheel of a mining machinery based on a tooth surface equation, which can solve the problem of large transmission error.

[0004] To achieve the above object, the present invention provides the following technical solution: a method for modifying the tooth surface of an electric wheel of a mining machine based on a tooth surface equation, comprising the following steps:

[0005] Step S1: Based on the three-dimensional model, material properties and actual operating conditions of the gearbox, the transmission error and tooth surface load of the electric wheel of the mining heavy-duty machinery are simulated and analyzed using Romax software;

[0006] Step S2: Establish a cylindrical coordinate system, with the tooth length direction as the z axis and the starting point of the involute as the coordinate origin. Set point P as any point on the tooth surface along a certain tooth section k after modification, and describe point P with the following equation:

[0007] Equation 1:

[0008] Equation 2:

[0009] Equation 3: z ki =z k

[0010] Step S3: Based on step S2, gear modification is performed in Romax software according to the obtained tooth modification parameters, and a suitable orthogonal table is selected as an orthogonal test scheme according to the parameters of the gear modification curve;

[0011] Step S4: Arrange and combine the six parameters of the tooth surface σ, γ, β, ω, μ, and φ by orthogonal experiment;

[0012] Step S5: Generate the modified tooth surface by surface fitting, and observe the transmission error and tooth surface load condition of the modified tooth surface by Romax software;

[0013] Step S6: Bring the modified gear into the Romax software, run the working condition, observe the micro-geometric dimensions of the modified gear, update the modification chart according to the modification parameters, and obtain the final modification curve;

[0014] Step S7: Run micro-geometry contact analysis to obtain the transmission error and tooth surface load conditions, and observe whether they meet the modification expectations.

[0015] Preferably, ra is the radius of the tooth tip circle, l represents the trimming length, lk represents the trimming length at point P, α is the tooth tip circle pressure angle, and z represents the Z-axis coordinate; wherein l is obtained by the following formula:

[0016] Equation 4: l = (ε-1) × m t ×cosα t ×π.

[0017] Preferably, ε is the contact ratio, mt is the end modulus, αt is the end pressure angle; the parameters θ1, θ2, θ3, θk are specifically expressed in the following formula:

[0018] Equation 5: θ 1k =tanα k -α k

[0019] Equation 6:

[0020] Equation set 7:

[0021] Equation set eight:

[0022] Preferably, αk is the pressure angle at point P, sk is the tooth thickness at point P, Δk represents the Δ value of the tooth profile modification at point P, and ck represents the modification amount along the tooth direction at section k; αk, Δk and ck are calculated by the following formula:

[0023] Equation set 9:

[0024] Equation set 10:

[0025] Equation set 11:

[0026] Preferably, σ and w are superposition coefficients, (σ, ω)∈[0, 1]; γ, β, μ, φ are exponential coefficients, the three parameters σ, γ and β control the shape of the tooth profile modification curve, the three parameters ω, μ and φ control the shape of the tooth profile modification curve, and b is the distance from the tooth profile modification center to the gear end face; the tooth profile parameters of the gear modification are determined based on the results.

[0027] Preferably, the step S4: performing orthogonal experimental arrangement and combination of the six parameters of the tooth surface, σ, γ, β, ω, μ, φ, and bringing the six parameters into the tooth surface equation group 10 and the equation group 11.

[0028] Compared with the prior art, the present invention has the following beneficial effects:

[0029] 1. The tooth surface modification method of the electric wheel of mining machinery based on the tooth surface equation is to obtain the modification parameters according to the tooth surface equation, modify the gear in the Romax software, observe the operating conditions of the modified gear, and update the modification chart according to the modification parameters to obtain the final modification curve; run the micro-geometric contact analysis to obtain the transmission error and tooth surface load condition of the tooth surface, and observe whether it meets the modification expectations.

[0030] 2. The tooth surface modification method of the electric wheel tooth surface of the mining machinery based on the tooth surface equation uses Romax software to analyze the reasons for the large transmission error of the planetary gearbox and the uneven load on the tooth surface, and determines the gear set that needs to be modified; for the gear to be modified, a cylindrical coordinate system is established with the tooth length direction as the z-axis and the starting point of the involute as the coordinate origin; an orthogonal table is selected according to the size parameters of the gear to be modified, and σ, ω, γ, β, μ, The value range of the six parameters is determined and the tooth parameters to be modified are determined; the gear is modified in the Romax software, and the tooth surface equation is introduced using the orthogonal experiment to generate a finite number of tooth surface points; the modified tooth surface is generated through surface fitting, and the transmission error and tooth surface load condition of the modified tooth surface are observed through the Romax software. BRIEF DESCRIPTION OF THE DRAWINGS

[0031] The present invention is further described below in conjunction with the accompanying drawings and embodiments:

[0032] Figure 1 It is a schematic diagram of the method flow of the present invention;

[0033] Figure 2 This is a load diagram of the right tooth surface of the sun gear before modification of the present invention;

[0034] Figure 3This is a load diagram of the right tooth surface of the sun gear after the modification of the present invention;

[0035] Figure 4 This is a transmission error diagram before the sun gear is modified according to the present invention;

[0036] Figure 5 This is a transmission error diagram of the sun gear after the modification of the present invention;

[0037] Figure 6 This is a load diagram of the modified front tooth surface of the planetary pinion of the present invention;

[0038] Figure 7 This is a load diagram of the tooth surface of the planetary pinion after modification of the present invention;

[0039] Figure 8 This is a transmission error diagram of the modified front tooth surface of the planetary pinion of the present invention;

[0040] Fig. 9 This is a transmission error diagram of the tooth surface of the planetary pinion after modification of the present invention;

[0041] Fig.10 This is a schematic diagram of kinetic energy transmission according to an embodiment of the present invention;

[0042] Fig.11 It is a schematic diagram of the structure of an embodiment of the present invention.

[0043] Figure numerals: 1, electric motor; 2, spline sleeve; 3, sun gear; 4, large planetary gear; 5, small planetary gear; 6, inner ring gear. DETAILED DESCRIPTION

[0044] This section will describe in detail the specific embodiments of the present invention. The preferred embodiments of the present invention are shown in the accompanying drawings. The purpose of the accompanying drawings is to supplement the description of the text part of the specification with graphics, so that people can intuitively and vividly understand each technical feature and the overall technical solution of the present invention, but it cannot be understood as a limitation on the scope of protection of the present invention.

[0045] In the description of the present invention, it should be understood that descriptions involving orientations, such as up, down, front, back, left, right, etc., and orientations or positional relationships indicated are based on the orientations or positional relationships shown in the accompanying drawings, and are only for the convenience of describing the present invention and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore should not be understood as a limitation on the present invention.

[0046] In the description of the present invention, "greater than", "less than", "exceed" etc. are understood as not including the number itself, and "above", "below", "within" etc. are understood as including the number itself. If there is a description of "first" or "second", it is only used for the purpose of distinguishing technical features, and cannot be understood as indicating or implying relative importance or implicitly indicating the number of the indicated technical features or implicitly indicating the order of the indicated technical features.

[0047] In the description of the present invention, unless otherwise clearly defined, terms such as setting, installing, connecting, etc. should be understood in a broad sense, and technicians in the relevant technical field can reasonably determine the specific meanings of the above terms in the present invention based on the specific content of the technical solution.

[0048] See also Figure 1-11 The present invention provides a technical solution: a method for modifying the tooth surface of an electric wheel of a mining machine based on a tooth surface equation, comprising the following steps:

[0049] Step S1: Based on the three-dimensional model, material properties and actual operating conditions of the gearbox, the transmission error and tooth surface load of the electric wheel of the mining heavy-duty machinery are simulated and analyzed using Romax software;

[0050] Step S2: Establish a cylindrical coordinate system, with the tooth length direction as the z axis and the starting point of the involute as the coordinate origin. Set point P as any point on the tooth surface along a certain tooth section k after modification, and describe point P with the following equation:

[0051] Equation 1:

[0052] Equation 2:

[0053] Equation 3: z ki =z k

[0054] r a is the radius of the tooth tip circle, l represents the modification length, l k represents the modification length at point P, α is the pressure angle of the tooth tip circle, and z represents the Z-axis coordinate; where l is obtained by the following formula:

[0055] Equation 4: l = (ε-1) × m t ×cosα t ×π.

[0056] ε is the contact ratio, m t is the end modulus, α t is the end pressure angle; parameters θ1, θ2, θ3, θ k The specific expression is given in the following formula:

[0057] Equation 5: θ 1k =tanα k -α k

[0058] Equation 6:

[0059] Equation set 7:

[0060] Equation set eight:

[0061] α k is the pressure angle at point P, s k is the tooth thickness at point P, Δ k represents the Δ value of the tooth profile modification at point P, c k Represents the modification amount along the tooth direction at section k; α k , Δ k and c k Calculated by the following formula;

[0062] Equation set 9:

[0063] Equation set 10:

[0064] Equation set 11:

[0065] σ and w are superposition coefficients, (σ, ω)∈[0,1]; γ, β, μ, is the exponential coefficient, σ, γ and β are the three parameters that control the shape of the tooth profile modification curve, ω, μ and Three parameters control the shape of the tooth profile modification curve, b is the distance from the tooth profile modification center to the gear end face; the tooth profile parameters of the gear modification are determined based on the results;

[0066] Step S3: Based on step S2, gear modification is performed in Romax software according to the obtained tooth modification parameters, and a suitable orthogonal table is selected as an orthogonal test scheme according to the parameters of the gear modification curve;

[0067] Step S4: perform orthogonal experimental arrangement and combination of the six parameters of the tooth surface, σ, γ, β, ω, μ, and φ, and bring them into the tooth surface equation group 10 and equation group 11;

[0068] Step S5: Generate the modified tooth surface by surface fitting, and observe the transmission error and tooth surface load condition of the modified tooth surface by Romax software;

[0069] Step S6: Bring the modified gear into the Romax software, run the working condition, observe the micro-geometric dimensions of the modified gear, update the modification chart according to the modification parameters, and obtain the final modification curve;

[0070] Step S7: Run micro-geometry contact analysis to obtain the transmission error and tooth surface load conditions, and observe whether they meet the modification expectations;

[0071] According to the tooth surface equation, the modification parameters are obtained, and the gear is modified in the Romax software. The operating conditions of the modified gear are observed, the micro-geometric dimensions of the modified gear are observed, and the modification chart is updated according to the modification parameters to obtain the final modification curve; the micro-geometric contact analysis is performed to obtain the transmission error and tooth surface load conditions, and observe whether it meets the modification expectations;

[0072]

[0073] Table 1

[0074] The invention discloses a tooth surface modification method for a mining heavy-duty mechanical electric wheel based on a tooth surface equation, which belongs to the technical field of gear transmission. The invention uses Romax software to analyze the reasons for the large transmission error of a planetary gearbox and the uneven load on the tooth surface, and determines the gear set that needs to be modified. A cylindrical coordinate system is established for the gear to be modified, with the tooth length direction as the z-axis and the starting point of the involute as the coordinate origin. An orthogonal table is selected according to the size parameters of the gear to be modified, and σ, ω, γ, β, μ, The value range of the six parameters is determined and the tooth parameters to be modified are determined; the gear is modified in the Romax software, and the tooth surface equation is introduced by orthogonal experiment to generate a finite number of tooth surface points; the modified tooth surface is generated by surface fitting, and the transmission error and tooth surface load condition of the modified tooth surface are observed by the Romax software;

[0075] Example:

[0076] Take the noise reduction of the electric wheel of heavy-duty mining machinery as an example for shape modification analysis:

[0077] The transmission system diagram of the gearbox is as follows: Fig.10 As shown, Fig.11 The three-dimensional model of the transmission part is shown. The output shaft of the motor 1 is connected to the sun gear shaft through the spline sleeve 2, which in turn drives the sun gear 3 to rotate. The sun gear 3 meshes with the three large planetary gears 4, driving the three large planetary gears 4 to rotate. The small planetary gear 5 is coaxial with the large planetary gear 4 and moves with the movement of the large planetary gear 4. The small planetary gear 5 drives the inner gear ring 6 to rotate, outputs kinetic energy, and drives the wheel to rotate through the wheel hub;

[0078] Combined with the vibration signal monitored by the test and the simulation analysis, the results show that the vibration of the sun gear and the asteroid gear-ring gear set is relatively large. The meshing force distribution diagram is as follows: Figure 2 , Figure 6 As shown, from Figure 2 , Figure 6 It can be seen that the meshing force points of the sun gear, asteroid gear and ring gear are mainly on one side of the gear teeth, and the distribution is uneven, indicating that the gear system is unevenly loaded during operation;

[0079] After the modification, the modification parameters of the sun gear and pinion gear are as shown in Table 1. The force distribution after modification is as follows Figure 3 , Figure 7 As shown in the figure, the simulation results show that after the gear tooth modification, the force distribution area is close to the gear meshing center, and the force distribution is more uniform than before the modification, which is beneficial to reduce the transmission error and thus achieve vibration and noise reduction;

[0080] Comparing the forces before and after the modification, it can be seen that the forces are distributed near the meshing line and are relatively evenly distributed.

[0081] The corresponding transmission error changes before and after modification are as follows: Figure 4 , Figure 5 , Figure 8 , Fig. 9 As shown, Figure 4 and 5 are the transmission errors before and after the sun gear is modified, respectively. Figure 8 and Fig. 9 They are the transmission errors before and after the pinion is modified. The simulation analysis results show that modification can effectively reduce the transmission error.

[0082] It can be understood that the present invention is described through some embodiments. Those skilled in the art are aware that various changes or equivalent substitutions can be made to these features and embodiments without departing from the spirit and scope of the present invention. In addition, under the teachings of the present invention, these features and embodiments can be modified to adapt to specific situations and materials without departing from the spirit and scope of the present invention. Therefore, the present invention is not limited to the specific embodiments disclosed herein, and all embodiments falling within the scope of the claims of this application belong to the scope of protection of the present invention.

[0083] The embodiments of the present invention are described in detail above with reference to the accompanying drawings. However, the present invention is not limited to the above embodiments. Various changes can be made within the knowledge scope of ordinary technicians in the technical field without departing from the purpose of the present invention.

Claims

1. A method for modifying the tooth surface of an electric wheel of a mining machine based on a tooth surface equation, characterized in that: The following steps are involved: Step S1: Based on the three-dimensional model, material properties and actual operating conditions of the gearbox, the transmission error and tooth surface load of the electric wheel of the mining heavy-duty machinery are simulated and analyzed using Romax software; Step S2: Establish a cylindrical coordinate system, with the tooth length direction as the z axis and the starting point of the involute as the coordinate origin. Set point P as any point on the tooth surface along a certain tooth section k after modification, and describe point P with the following equation: Equation 1: Equation 2: Equation 3: z ki =z k Step S3: Based on step S2, gear modification is performed in Romax software according to the obtained tooth modification parameters, and a suitable orthogonal table is selected as an orthogonal test scheme according to the parameters of the gear modification curve; Step S4: Arrange and combine the six parameters of the tooth surface σ, γ, β, ω, μ, and φ by orthogonal experiment; Step S5: Generate the modified tooth surface by surface fitting, and observe the transmission error and tooth surface load condition of the modified tooth surface by Romax software; Step S6: Bring the modified gear into the Romax software, run the working condition, observe the micro-geometric dimensions of the modified gear, update the modification chart according to the modification parameters, and obtain the final modification curve; Step S7: Run micro-geometry contact analysis to obtain the transmission error and tooth surface load conditions, and observe whether they meet the modification expectations.

2. The method for modifying the tooth surface of an electric wheel of a mining machine according to a tooth surface equation of claim 1 is characterized by: The ra is the radius of the tooth tip circle, l represents the modification length, lk represents the modification length at point P, α is the tooth tip circle pressure angle, and z represents the Z-axis coordinate; wherein l is obtained by the following formula: Equation 4: l = (ε-1) × m t ×cosα t ×π.

3. The method for modifying the tooth surface of an electric wheel of a mining machine according to a tooth surface equation according to claim 1 is characterized in that: The ε is the contact ratio, mt is the end modulus, and αt is the end pressure angle; the parameters θ1, θ2, θ3, and θk are specifically expressed in the following formula: Equation 5: θ 1k =tanα k -α k Equation set 6: Equation set 7: Equation set eight:

4. The method for modifying the tooth surface of an electric wheel of a mining machine according to a tooth surface equation according to claim 1 is characterized in that: The αk is the pressure angle at point P, sk is the tooth thickness at point P, Δk represents the Δ value of the tooth profile modification at point P, and ck represents the modification amount along the tooth direction at section k; αk, Δk and ck are calculated by the following formula: Equation 9: Equation set 10: Equation set 11:

5. The method for modifying the tooth surface of an electric wheel of a mining machine according to a tooth surface equation according to claim 1 is characterized in that: The σ and w are superposition coefficients, (σ, ω)∈[0, 1]; γ, β, μ, φ are exponential coefficients, the three parameters σ, γ and β control the shape of the tooth profile modification curve, the three parameters ω, μ and φ control the shape of the tooth profile modification curve, and b is the distance from the tooth profile modification center to the gear end face; the tooth profile parameters of the gear modification are determined according to the results.

6. The method for modifying the tooth surface of an electric wheel of a mining machine according to a tooth surface equation of claim 4, characterized in that: The step S4: performing orthogonal experimental arrangement and combination of the six parameters of the tooth surface, σ, γ, β, ω, μ, and φ, and bringing them into the tooth surface equation group 10 and equation group 11.

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