Method, device, equipment and storage medium for determining meshing stiffness of modified herringbone gears

Abstract

The present invention relates to the technical field of gear mechanics calculation, and particularly to a method, device, equipment and storage medium for determining the meshing stiffness of modified herringbone gears. The method includes: discretizing the herringbone gear pair to obtain slice information, and determining the initial load distribution information according to the design parameters, working condition parameters and slice information of the herringbone gears; using the slice information to determine the meshing point coordinate information of each slice gear, and further confirming the load angle; confirming the tooth body meshing stiffness based on the initial load distribution information, and calculating the matrix deformation stiffness, so as to obtain the gear pair meshing stiffness; judging whether the gear pair meshing stiffness meets the iteration stop condition, if not, calculating the corrected load distribution information; returning to execute confirming the tooth body meshing stiffness based on the initial load distribution information; the method disclosed in this application considers the non-linear load transfer characteristics of the herringbone gear pair, and analyzes the influence of the modification coefficient on the tooth surface contact characteristics, thereby improving the prediction accuracy of the time-varying meshing stiffness model of the herringbone gear pair.

Description

Technical Field

[0001] The present invention relates to the technical field of gear mechanics calculation, and particularly to a method, device, equipment and storage medium for determining the meshing stiffness of modified herringbone gears. Background Art

[0002] A herringbone gear is composed of a left-handed and a right-handed helical gear symmetrically combined along the center line. Its unique symmetrical structure can balance the axial force components on both sides of the gear, fundamentally eliminating the axial force problem in helical gear transmission; the structural advantages of herringbone gears make them show significant engineering application value under heavy load and high-speed working conditions; at the same time, the gear modification machining technology realizes multiple optimization goals by adjusting the relative position of the tool and the gear blank, on the basis of avoiding undercutting: it can not only improve the load-carrying capacity of the gear pair, but also adapt to the center distance parameter, and can also optimize the spatial layout of the transmission system.

[0003] However, the change in the tooth profile geometry caused by modification machining will lead to a significant change in the load distribution characteristics of the left and right helical gears of the herringbone gear; this adjustment of geometric parameters will directly affect the meshing stiffness distribution law of the herringbone gear through mechanisms such as the meshing contact line distribution and the load transfer path; there are still two key theoretical gaps in the current research field: firstly, the quantitative influence mechanism of the modification coefficient on the load distribution characteristics of each meshing point of the double helical gear has not been clarified; secondly, the influence law of the modification parameters on the overall meshing stiffness of the herringbone gear lacks a systematic mathematical model analysis; when considering the modification effect, the existing meshing stiffness calculation models generally have problems such as a single modeling dimension and an incomplete parameter coupling relationship, which seriously restricts the applicable range and calculation accuracy of the models.

[0004] It can be seen that the existing technology still needs to be improved. Summary of the Invention

[0005] In order to overcome the deficiencies of the existing technology, the purpose of the present invention is to provide a method for determining the meshing stiffness of modified herringbone gears, which can accurately determine the meshing stiffness of the gear pair during the meshing process of the herringbone gear pair under the influence of the modification coefficient.

[0006] The first aspect of the present invention provides a method for determining the meshing stiffness of a modified herringbone gear, including: discretizing the herringbone gear pair to obtain slice information, and based on the obtained design parameters and operating conditions parameters of the herringbone gear and the slice information, confirming the initial load distribution information of the herringbone gear pair; determining the meshing point coordinate information of each slice gear obtained by the discretization process based on the slice information, and confirming the load angle of the herringbone gear pair based on the meshing point coordinate information; confirming the tooth body meshing stiffness based on the initial load distribution information, calculating the matrix deformation stiffness based on the confirmed load angle, and then calculating the gear pair meshing stiffness based on the tooth body meshing stiffness and the matrix deformation stiffness; judging whether the preset iteration stop condition is satisfied based on the gear pair meshing stiffness, if not, then calculating and confirming the corrected load distribution information based on the initial load distribution information and the calculated gear pair meshing stiffness; using the corrected load distribution information as the initial load distribution information, and returning to execute confirming the tooth body meshing stiffness based on the initial load distribution information.

[0007] Optionally, in the first implementation manner of the first aspect of the present invention, the discretizing the herringbone gear pair to obtain slice information, and based on the obtained design parameters and operating conditions parameters of the herringbone gear and the slice information, confirming the initial load distribution information of the herringbone gear pair includes: discretizing the herringbone gear pair in the tooth width direction to obtain a plurality of left-handed helical gear slices, a plurality of right-handed helical gear slices and slice information, where the slice information includes the number of slices; obtaining the design parameters and operating conditions parameters of the herringbone gear, where the design parameters include the normal pressure angle and helix angle of the left-handed helical gear and the normal pressure angle and helix angle of the right-handed helical gear, and the operating conditions parameters include the torque transmitted by the driving wheel of the herringbone gear pair; confirming the initial load distribution information of the herringbone gear pair based on the obtained design parameters and operating conditions parameters of the herringbone gear, the slice information and a pre-constructed load equation.

[0008] Optionally, in the second implementation manner of the first aspect of the present invention, the determining the meshing point coordinate information of each slice gear obtained by the discretization process based on the slice information includes: constructing a local coordinate system, and establishing a reference line parallel to the tooth width direction of the herringbone gear pair within the constructed local coordinate system; determining the meshing point coordinate information of each left-handed helical gear slice and each right-handed helical gear slice obtained by the discretization process based on the constructed local coordinate system and the reference line.

[0009] Optionally, in the third implementation manner of the first aspect of the present invention, the confirming the load angle of the herringbone gear pair based on the meshing point coordinate information includes: confirming the pressure angle and the tooth center distance at the meshing point based on the meshing point coordinate information; calculating the pitch circle radius at the meshing point based on the design parameters and operating conditions parameters of the herringbone gear; calculating the load angle of the herringbone gear pair based on the confirmed pressure angle and tooth center distance at the meshing point and the calculated pitch circle radius.

[0010] Optionally, in the fourth implementation manner of the first aspect of the present invention, the confirmation of the tooth body meshing stiffness based on the initial load distribution information includes: according to the obtained design parameters and working conditions parameters of the herringbone gear, combining with the initial load distribution information, confirming the force information of the herringbone gear pair, where the force information includes the radial component of the meshing force, the tangential component of the meshing force, and the axial component of the meshing force; calculating the deformation stiffness of each slice gear based on the design parameters and working conditions parameters of the herringbone gear, the calculated initial load distribution information, and the confirmed force information, where the deformation stiffness includes Hertz contact stiffness, tangential bending stiffness, tangential shear stiffness, radial compression stiffness, axial bending stiffness, axial shear stiffness, and axial torsional stiffness; calculating the tooth body meshing stiffness based on the calculated deformation stiffness of each slice gear.

[0011] Optionally, in the fifth implementation manner of the first aspect of the present invention, the calculation of the matrix deformation stiffness based on the confirmed load angle, and then the calculation of the gear pair meshing stiffness based on the tooth body meshing stiffness and the matrix deformation stiffness includes: calculating the matrix deformation stiffness based on the design parameters and working conditions parameters of the herringbone gear and the confirmed load angle; obtaining the matrix deformation correction coefficient, and calculating the meshing stiffness of the left-handed slice helical gear pair and the meshing stiffness of the right-handed slice helical gear pair based on the tooth body meshing stiffness, the matrix deformation stiffness, and the matrix deformation correction coefficient; calculating the gear pair meshing stiffness based on the meshing stiffness of the left-handed slice helical gear pair and the meshing stiffness of the right-handed slice helical gear pair.

[0012] Optionally, in the sixth implementation manner of the first aspect of the present invention, the judgment of whether the preset iteration stop condition is satisfied based on the gear pair meshing stiffness, and if not, the calculation and confirmation of the corrected load distribution information based on the initial load distribution information and the calculated gear pair meshing stiffness includes: if the calculated gear pair meshing stiffness does not meet the preset convergence accuracy and the current iteration number < the preset maximum iteration number, then the preset iteration stop condition is not satisfied; obtaining the preset constraint conditions and the pre-constructed objective function, and confirming the meshing number information based on the preset constraint conditions, the initial load distribution information, and the gear pair meshing stiffness; correcting the pre-constructed objective function based on the meshing number information, and using the genetic algorithm to solve the corrected objective function to obtain the corrected load distribution information.

[0013] The second aspect of the present invention provides a device for determining the meshing stiffness of a modified herringbone gear, comprising: an initialization module, configured to discretize the herringbone gear pair to obtain slice information, and based on the obtained design parameters and operating parameters of the herringbone gear and the slice information, confirm the initial load distribution information of the herringbone gear pair; a confirmation module, configured to determine the meshing point coordinate information of each slice gear obtained by the discretization process based on the slice information, and confirm the load angle of the herringbone gear pair based on the meshing point coordinate information; a calculation module, configured to confirm the tooth body meshing stiffness based on the initial load distribution information, calculate the matrix deformation stiffness based on the confirmed load angle, and then calculate the gear pair meshing stiffness based on the tooth body meshing stiffness and the matrix deformation stiffness; a judgment module, configured to judge whether the gear pair meshing stiffness meets a preset iteration stop condition, and if not, calculate and confirm the corrected load distribution information based on the initial load distribution information and the calculated gear pair meshing stiffness; an iteration module, configured to use the corrected load distribution information as the initial load distribution information, and return to execute the confirmation of the tooth body meshing stiffness based on the initial load distribution information.

[0014] The third aspect of the present invention provides a device for determining the meshing stiffness of a modified herringbone gear. The device for determining the meshing stiffness of the modified herringbone gear comprises: a memory and at least one processor, wherein instructions are stored in the memory; at least one of the processors calls the instructions in the memory so that the device for determining the meshing stiffness of the modified herringbone gear executes each step of the method for determining the meshing stiffness of the modified herringbone gear as described in any one of the above.

[0015] The fourth aspect of the present invention provides a computer-readable storage medium, on which instructions are stored, and when the instructions are executed by a processor, each step of the method for determining the meshing stiffness of the modified herringbone gear as described in any one of the above is implemented.

[0016] In the technical solution of the present invention, the herringbone gear pair is discretized to obtain slice information, and based on the design parameters, operating parameters and slice information of the herringbone gear, the initial load distribution information is determined; the meshing point coordinate information of each slice gear is determined by using the slice information, and then the load angle is confirmed; the tooth body meshing stiffness is confirmed based on the initial load distribution information, and the matrix deformation stiffness is calculated, so as to obtain the gear pair meshing stiffness; it is judged whether the gear pair meshing stiffness meets the iteration stop condition, and if not, the corrected load distribution information is calculated; return to execute the confirmation of the tooth body meshing stiffness based on the initial load distribution information; in the method disclosed in this application, by considering the non-linear load transfer characteristics of the left and right helical gear pairs and analyzing the influence mechanism of the modification coefficient on the tooth surface contact characteristics, the evolution law of the time-varying meshing stiffness of the herringbone gear can be confirmed, thereby significantly improving the prediction accuracy of the time-varying meshing stiffness model of the herringbone gear pair, that is, improving the accuracy and reliability of the output gear pair meshing stiffness. Description of the Drawings

[0017] Figure 1 It is a logic flowchart of the meshing stiffness determination method provided by the embodiment of the present invention;

[0018] Figure 2 It is a structural schematic diagram of the meshing stiffness determination device for profile-shifted herringbone gears provided by the embodiment of the present invention;

[0019] Figure 3 It is a structural schematic diagram of the meshing stiffness determination equipment for profile-shifted herringbone gears provided by the embodiment of the present invention;

[0020] Figure 4 It is a schematic diagram of the meshing analysis model of the herringbone gear pair;

[0021] Figure 5 It is a schematic diagram of the contact line distribution law of the herringbone gear pair;

[0022] Figure 6 It is a force analysis diagram of the left-handed sliced gear;

[0023] Figure 7 It is a schematic diagram of the load angle calculation model of the herringbone gear pair;

[0024] Figure 8 It is a schematic diagram of the meshing stiffness calculation result of the herringbone gear pair. Specific embodiments

[0025] The present invention provides a method, device, equipment and storage medium for determining the meshing stiffness of profile-shifted herringbone gears. In the present invention, the terms "first", "second", "third", "fourth", etc. (if any) in the specification, claims and above-mentioned drawings of the present invention are used to distinguish similar objects, and do not have to be used to describe a specific order or sequence. It should be understood that such data can be interchanged under appropriate circumstances so that the embodiments described here can be implemented in an order different from that shown or described here. In addition, the terms "comprising" or "having" and any deformation thereof are intended to cover non-exclusive inclusion. For example, a process, method, system, product or equipment comprising a series of steps or units does not have to be limited to those steps or units clearly listed, but may include other steps or units not clearly listed or inherent to these processes, methods, products or equipment.

[0026] For ease of understanding, the specific process of the embodiment of the present invention will be described below. Please refer to Figures 1 to 8 , an embodiment of the meshing stiffness determination method for profile-shifted herringbone gears in the embodiment of the present invention includes:

[0027] 101. Discretize the herringbone gear pair to obtain slice information. Based on the obtained design parameters, operating parameters of the herringbone gear, and the slice information, confirm the initial load distribution information of the herringbone gear pair;

[0028] In this embodiment, based on the idea of the "slicing method", discretize the herringbone gear pair along the tooth width direction, which can reduce the modeling difficulty of the meshing stiffness of the herringbone gear pair and can accurately determine the meshing point coordinate information of each slice gear, helping to deeply understand the meshing characteristics of the herringbone gear pair.

[0029] 102. Based on the slice information, determine the meshing point coordinate information of each slice gear obtained by the discretization process. Based on the meshing point coordinate information, confirm the load angle of the herringbone gear pair;

[0030] 103. Based on the initial load distribution information, confirm the tooth body meshing stiffness, calculate the matrix deformation stiffness based on the confirmed load angle, and then calculate the gear pair meshing stiffness based on the tooth body meshing stiffness and the matrix deformation stiffness;

[0031] 104. Based on the gear pair meshing stiffness, determine whether the preset iteration stop condition is met. If not, calculate and confirm the corrected load distribution information based on the initial load distribution information and the calculated gear pair meshing stiffness;

[0032] 105. Use the corrected load distribution information as the initial load distribution information, and return to execute the confirmation of the tooth body meshing stiffness based on the initial load distribution information;

[0033] In this embodiment, by solving the corrected load distribution information and using the corrected load distribution information as the initial load distribution information, and returning for repeated iteration, the calculation result of the load distribution can be continuously optimized until the preset iteration stop condition is met, ensuring the accuracy and reliability of the finally output gear pair meshing stiffness.

[0034] The present application discloses a method for determining the meshing stiffness of a modified herringbone gear. The herringbone gear pair is discretized to obtain slice information, and based on the design parameters, operating conditions parameters and slice information of the herringbone gear, the initial load distribution information is determined; the meshing point coordinate information of each slice gear is determined using the slice information, and then the load angle is confirmed; the tooth body meshing stiffness is confirmed based on the initial load distribution information, and the matrix deformation stiffness is calculated, thereby obtaining the gear pair meshing stiffness; it is determined whether the gear pair meshing stiffness meets the iteration stop condition, and if not, the corrected load distribution information is calculated; return to execute the confirmation of the tooth body meshing stiffness based on the initial load distribution information; the method disclosed in the present application can confirm the evolution law of the time-varying meshing stiffness of the herringbone gear by considering the non-linear load transfer characteristics of the left- and right-handed helical gear pairs and analyzing the influence mechanism of the modification coefficient on the tooth surface contact characteristics, thus significantly improving the prediction accuracy of the time-varying meshing stiffness model of the herringbone gear pair, that is, improving the accuracy and reliability of the output gear pair meshing stiffness.

[0035] In the second embodiment of the method for determining the meshing stiffness of the modified herringbone gear in the embodiment of the present invention, step 101 includes:

[0036] 201. Discretize the herringbone gear pair along the tooth width direction to obtain a plurality of left-handed helical gear slices, a plurality of right-handed helical gear slices and slice information, where the slice information includes the number of slices.

[0037] In this embodiment, the meshing analysis model and the contact line distribution law of the herringbone gear pair are respectively as Figure 4 and Figure 5 shown; Figure 4 In R bi ( i = p , g , respectively represent the driving and driven wheels) and w i respectively represent the base circle radius and rotational speed of the gear i ; according to previous research, the herringbone gear can be regarded as an equivalent model of the left- and right-handed helical gears; observing Figure 5 it can be seen that the contact lines of the two helical gears are symmetrically distributed around A 3 B 3, and there are multiple contact lines, and any point on the contact line participates in meshing, which undoubtedly increases the complexity of the meshing stiffness modeling of the herringbone gear pair; in order to simplify the modeling process, this embodiment draws on the concept of the "slicing method" and takes the driving wheel as an example to discretize the herringbone gear along the tooth width direction, as Figure 5 shown.

[0038] Figure 5 In d w = B / n is the tooth width of the sliced herringbone gear, n is the number of slices, and B is the tooth width; each contact line is parallel to each other in the meshing plane and separated by a base circular pitch P bt , A 1 and B 1 are respectively the intersection points of the meshing line of the herringbone gear pair and the addendum circles of the driving and driven wheels, B m is the length of the meshing plane.

[0039] 202. Obtain the design parameters and operating parameters of the herringbone gear. The design parameters include the normal pressure angle and helix angle of the left-handed helical gear and the normal pressure angle and helix angle of the right-handed helical gear. The operating parameters include the torque transmitted by the driving wheel of the herringbone gear pair;

[0040] Please refer to Table 1, which shows the design parameters and operating parameters of the herringbone gear pair studied in this embodiment.

[0041] Table 1 Gear Design Parameters and Operating Parameters

[0042]

[0043] 203. Based on the obtained design parameters and operating parameters of the herringbone gear, and the pre-constructed load equation, confirm the initial load distribution information of the herringbone gear pair;

[0044] In this embodiment, according to the meshing principle of the herringbone gear, the axial components of the meshing forces of its left-handed part and right-handed part are equal, and the meshing forces of the left-handed part and right-handed part should correspond to the torque transmitted by the driving wheel. Therefore, based on the following pre-constructed load equation, the initial load distribution information of the herringbone gear pair can be confirmed:

[0045] (1)

[0046] In the formula, T p is the torque transmitted by the driving wheel of the herringbone gear pair, α nl and β l are respectively the normal pressure angle and helix angle of the left-handed helical gear, α nr and β r are respectively the normal pressure angle and helix angle of the right-handed helical gear, is the load borne by the left-handed slices kk in the contact line j , is the load borne by the right-handed slices kk in the contact line j , F l is the load allocated to the left-handed helical gear, which is a known value; The load distributed to the right-hand helical gear is a known value; R bp It is the base circle radius of the driving wheel of the herringbone gear pair, which is the set input value.

[0047] Based on the gear meshing principle, the number of contact lines of a helical gear pair generally does not exceed 4. In this embodiment, in the initial stage, the initial load distribution information of the herringbone gear pair is confirmed based on formula (1), and the initial load distribution information includes the initial load borne by each slice of the left-handed helical gear and the initial load borne by each slice of the right-handed helical gear in the herringbone gear; wherein, in the initial stage, it is defined that the initial load borne by each slice of the left-handed helical gear is equal, and the initial load borne by each slice of the right-handed helical gear is equal, that is, based on the number of slices, the initial load borne by each slice can be confirmed.

[0048] In a third embodiment of the method for determining meshing stiffness of a modified herringbone gear according to an embodiment of the present invention, step 102 includes:

[0049] 301. Construct a local coordinate system, and establish a reference line parallel to the tooth width direction of the herringbone gear pair in the constructed local coordinate system;

[0050] 302. Based on the constructed local coordinate system and reference line, determine the meshing point coordinate information of each left-handed helical gear slice and each right-handed helical gear slice obtained by discretization processing.

[0051] according to Figure 5 , the meshing point X of each slice herringbone gear pair is the intersection of the slice center line and the contact line; according to Figure 5 As shown, establish a local coordinate system x m - A 1- y m , the coordinates of the meshing position X on each slice can be calculated through geometric relationships ( x m , y m ); Taking the left-handed sliced helical gear in the driving wheel as an example, project point X to A 1 B 1, it can be determined that the meshing position of the left-handed sliced helical gear of the herringbone gear is on the meshing line A 1 B Projection point on 1 X ' ; According to the principle of gear meshing, X ' That is the projected meshing position of the left-handed sliced helical gear of the herringbone gear corresponding to point X on the end face, from which the meshing parameters of the left-handed sliced helical gear at point X can be determined.

[0052] Figure 5It shows that the meshing point of the left-hand helical gear pair in the herringbone gear pair is from point A 1 point B 3 Move, the meshing point of the right-hand helical gear pair moves from point A 2-way point B 3 movement; through this meshing process, this embodiment can derive the change law of the contact line of the herringbone gear pair, which will not be described in detail here.

[0053] In order to reduce the workload of subsequent modeling, Figure 5 Select a line parallel to the width of the herringbone gear teeth mesh As a reference line; Figure 5 It can be seen that mesh There are intersections with both the left-handed sliced helical gear and the right-handed sliced helical gear, which is the intersection of the herringbone gear pair at that moment. mesh The coordinates of the meshing points on the , can be calculated by the following formula:

[0054] (2)

[0055] In the formula, kk For contact line kk (kk =1,2,3…, N , N is the number of contact lines), x mesh For Line mesh and x m The horizontal coordinate of the axis intersection point, slope kk For contact line kk The slope of b kk is the intercept of the contact line kk on the y-axis; through formula (2), the coordinate information of the meshing point between the left-handed helical gear and the right-handed helical gear can be obtained;

[0056] In the fourth embodiment of the method for determining meshing stiffness of a modified herringbone gear in the embodiment of the present invention, step 102 further includes:

[0057] 401. Confirm the pressure angle and tooth center distance at the meshing point based on the meshing point coordinate information;

[0058] In this embodiment, the pitch diameter and pressure angle at the meshing point can be calculated based on the meshing point coordinate information; the meshing point is the acting point of load transfer. When herringbone gears mesh, the force is transmitted through the tooth surface contact point. The coordinates of each meshing point directly determine the position of the point on the tooth surface (such as near the tooth tip, tooth root or middle of the tooth), affecting the influence of tooth profile (tooth thickness change caused by modification) on stiffness; and determine the direction and distribution of the contact line (the contact line of helical gears is an inclined line, and the left and right hand contact lines of herringbone gears are symmetric), thereby affecting the load distribution in the tooth width direction (for example, the middle slice may be more stressed).

[0059] 402. Calculate the pitch diameter at the meshing point based on the design parameters and working conditions parameters of the herringbone gear;

[0060] 403. Calculate the load angle of the herringbone gear pair based on the confirmed pressure angle and pitch diameter at the meshing point and the calculated pitch diameter.

[0061] Previous studies have shown that the meshing stiffness of a pair of meshing helical gears is related to its load angle; therefore, it is necessary to determine the load angle of the modified helical gear; taking the left-handed helical gear pair of the herringbone gear i as an example, its load angle calculation model is as Figure 7 shown; in the figure, X is the meshing point, R Xi is the meshing point X to the gear i tooth center O i of the pitch diameter, A 1 X is the meshing line, R bi is the gear i base circle radius, α Xikk,j,l and θ Xikk,j,l are the pressure angle and load angle at the meshing point of the gear i respectively.

[0062] From Figure 7 it can be seen that t at the moment, the load angle of the left-handed helical gear pair of the gear i can be obtained from Equation (3):

[0063] (3)

[0064] In the formula, z i and α i are the number of teeth and the reference pressure angle of the left-handed helical gear pair of the gear i respectively, αXikk,j,l ( kk = 1, 2, …, N , N is the number of contact lines, j = 1, 2, …, n , n (where i at the meshing point X is the pressure angle of the gear inv ( x ) = tan( x ) - x is the involute function; if R Xi < R i ,Equation (3) takes the + sign, if R Xi ≥ R i ,Equation (3) takes the - sign; R Xi and R i are respectively the pitch diameter center distance and the pitch diameter radius of the gear i at the meshing point X ; the pitch diameter radius R i is calculated through the number of teeth and the module of the gear i ; ss i is the tooth thickness of the pitch circle of the gear i in the left - hand helical gear pair of the herringbone gear, and can be obtained from Equation (4):

[0065] (4)

[0066] Wherein, m is the module of the left - hand helical gear pair in the herringbone gear, x i is the modification coefficient of the gear i in the left - hand helical gear pair.

[0067] The fifth embodiment of the method for determining the meshing stiffness of the modified herringbone gear in the embodiments of the present invention, step 103 includes:

[0068] 501. According to the obtained design parameters and working conditions parameters of the herringbone gear, combined with the initial load distribution information, confirm the force information of the herringbone gear pair, and the force information includes the radial component of the meshing force, the tangential component of the meshing force, and the axial component of the meshing force;

[0069] In this embodiment, taking the left - hand sliced helical gear in the herringbone gear as an example, its force condition is as Figure 6 shown; Figure 6Among them, F kk,j,l ( kk = 1, 2, …, N , N is the number of contact lines, j = 1, 2, …, n , n is the number of slices), 、 F mt and F ma are respectively the load borne by each slice of the left - hand helical gear in the herringbone gear, the radial component of the meshing force, the tangential component of the meshing force, and the axial component of the meshing force.

[0070] It can be known from Figure 6 that F mr 、 F mt and F ma can be expressed as:

[0071] (5)

[0072] (6)

[0073] (7)

[0074] For the convenience of subsequent derivation, the resultant forces F a and F b in the radial and tangential directions of the left - hand helical gear slice on the end face are given, as shown in Equation (8):

[0075] (8)

[0076] In the formula, α nl is the normal pressure angle of the left - hand helical gear, β l is the helix angle of the left - hand helical gear.

[0077] 502. Calculate the deformation stiffness of each slice gear based on the design parameters and operating parameters of the herringbone gear, the calculated initial load distribution information, and the confirmed force information. The deformation stiffness includes Hertz contact stiffness, tangential bending stiffness, tangential shear stiffness, radial compression stiffness, axial bending stiffness, axial shear stiffness, and axial torsional stiffness;

[0078] In this embodiment, according to the energy method, during the meshing process, the energy stored in the left - hand helical gear slice pair j (j = 1, 2, …, n ,n The potential energy on the number of slices (the number of slices) includes seven parts: Hertz contact potential energy U hj,l , tangential bending potential energy U tbikk,j,l , tangential shear potential energy U tsikk,j,l , radial compression potential energy U tcikk,j,l , axial bending potential energy U abikk,j,l , axial shear potential energy U asikk,j,l and axial torsion potential energy U atikk,j,l； These seven parts of potential energy correspond to Hertz contact stiffness k hj,l , tangential bending stiffness k tbikk,j,l , tangential shear stiffness k tsikk,j,l , radial compression stiffness k tcikk,j,l , axial bending stiffness k abikk,j,l , axial shear stiffness k asikk,j,l and axial torsion stiffness k atikk,j,l , which can be obtained from mechanics of materials:

[0079] (9)

[0080] (10)

[0081] (11)

[0082] (12)

[0083] (13)

[0084] (14)

[0085] (15)

[0086] In the formula, E i , G i and v i are the elastic modulus, shear modulus and Poisson's ratio of the gear i respectively, ρ Xiis the radius of curvature, and Ax, Ix, h, d, x, and dx are respectively the calculation parameters of the meshing stiffness; is the gear i at the meshing point X the Hertz contact half-width, which is related to the distributed load of the gear and can be obtained by the following formula:

[0087] (16)

[0088] In the first iteration process, the initial load distribution information is used to calculate the gear i at the meshing point X the Hertz contact half-width to calculate the initial Hertz contact stiffness; in the subsequent iteration process, the corrected load distribution information is used to calculate the gear i at the meshing point X the Hertz contact half-width to calculate the corrected Hertz contact stiffness, so as to continuously reduce the error and gradually approach the true solution.

[0089] 503. Calculate the tooth body meshing stiffness based on the deformation stiffness of each sliced gear calculated;

[0090] In this embodiment, for example, the tooth body meshing stiffness of the left-handed sliced helical gear pair j (j = 1, 2, …, n , n (where is the number of slices) is shown in Equation (17):

[0091] (17)

[0092] Each parameter in the formula can be obtained from Equations (9)-(15), is the tooth body meshing stiffness of the left-handed sliced helical gear pair j (j = 1, 2, …, n , n (where is the number of slices).

[0093] In the fifth embodiment of the method for determining the meshing stiffness of the modified herringbone gear in the embodiment of the present invention, step 103 further includes:

[0094] 601. Calculate the matrix deformation stiffness based on the design parameters, operating conditions parameters of the herringbone gear, and the confirmed load angle;

[0095] In this embodiment, during the gear meshing process, the gear matrix will also undergo a certain deformation, and the stiffness corresponding to this part of the deformation is the matrix deformation stiffness k fikk,j，l , which can be obtained by the following formula:

[0096] (18)

[0097] In the formula,μ f is the distance from the focus of the engagement line and the tooth symmetry line to the root circle of the tooth S f is the base circle arc corresponding to the entire tooth profile 、 、 and are coefficients and can be obtained from the following polynomial

[0098] (19)

[0099] wherein is 、 、 and any one of A 、 B′ 、 C 、 D 、 E′ and F′ see Table 2 for details h f = r fp / r int , r fp is the root circle radius of the driving gear tooth r int is the radius of the gear shaft hole of the driving gear θ f is the central angle of the tooth profile of the driving gear tooth

[0100] Table 2 and value of

[0101]

[0102] 602. Obtain the matrix deformation correction coefficient, and calculate the meshing stiffness of the left-handed sliced helical gear pair and the meshing stiffness of the right-handed sliced helical gear pair based on the tooth body meshing stiffness, the matrix deformation stiffness and the matrix deformation correction coefficient

[0103] In this embodiment, for example, the meshing stiffness of the left-handed sliced helical gear pair can be obtained from Equation (20)

[0104] (20)

[0105] wherein ε i is the matrix deformation correction coefficient, generally 1.1 is the meshing stiffness of the left-handed sliced helical gear pair j ​

[0106] 603. Calculate the meshing stiffness of the gear pair based on the meshing stiffness of the left-handed sliced helical gear pair and the meshing stiffness of the right-handed sliced helical gear pair;

[0107] In this embodiment, after obtaining the meshing stiffness of each left-handed sliced helical gear pair, superimpose it along the tooth width direction and the contact line to obtain the meshing stiffness of the left-handed helical gear pair, as shown in Equation (21):

[0108] (21)

[0109] Similarly, the meshing stiffness of the right-handed helical gear pair can be obtained, which will not be elaborated here; the meshing stiffness of the gear pair is the sum value between the meshing stiffness of the left-handed helical gear pair and the meshing stiffness of the right-handed helical gear pair, as shown in the following formula:

[0110] (22)

[0111] In the formula, k l and k r are the meshing stiffness of the left-handed helical gear pair and the meshing stiffness of the right-handed helical gear pair respectively.

[0112] The sixth embodiment of the method for determining the meshing stiffness of the modified herringbone gear in the embodiment of the present invention, step 104 includes:

[0113] 701. If the meshing stiffness of the calculated gear pair does not meet the preset convergence accuracy and the current iteration number < the preset maximum iteration number, then the preset iteration stop condition is not met;

[0114] In this embodiment, when the meshing stiffness of the calculated gear pair ≤ the preset convergence accuracy, or the current iteration number ≥ the preset maximum iteration number, it indicates that the preset iteration stop condition is met. At this time, output the meshing stiffness value of the gear pair calculated in the last iteration as the final meshing stiffness of the herringbone gear pair; the preset convergence accuracy is the preset true value of the meshing stiffness, which can be set in advance according to the actual working conditions.

[0115] 702. Obtain the preset constraint conditions and the pre-constructed objective function, and confirm the meshing number information based on the preset constraint conditions, the initial load distribution information, and the meshing stiffness of the gear pair. The meshing number information includes the set of contact line numbers of the gear pair participating in meshing and the set of sliced helical gear pair numbers;

[0116] In this embodiment, it can be seen from Equation (9) that the Hertz contact stiffness of the left-handed sliced helical gear pair is related to the load it bears; the load j borne by the left-handed sliced F kk,j,l ( kk= 1, 2, …, N , N (where the number of contact lines) can be obtained from the slice load distribution equation:

[0117] (23)

[0118] In the formula, F kk,j,l and S kk,j,l are respectively the load borne by the left - hand helix slice helical gear pair and the meshing error in the contact line kk of the left - hand helix slice helical gear pair j ; F kk,l , k kk,l and S kk,l are respectively the load borne by the contact line kk , the meshing stiffness and the meshing error; this constraint condition reveals that the load distribution between slices must follow the principle of local balance.

[0119] In this embodiment, Equation (23) is used to determine the numbers of the slice helical gear pairs participating in meshing; the specific method is as follows: First, based on the initial load distribution information, confirm the load kk borne by the contact line F kk,l , then substitute F kk,l , the meshing stiffness of the slice helical gear pair calculated based on Equation (20), and the meshing errors of each slice helical gear pair into this slice load distribution equation, and the meshing forces F kk,j,l of each left - hand helix slice helical gear pair can be obtained; when F kk,j,l < 0, it indicates that the kk th slice helical gear pair on the j th contact line does not participate in meshing, that is, remove the corresponding parameters in this slice load distribution equation and recalculate until the numbers of the finally participating slice helical gear pairs are determined.

[0120] The meshing loads distributed to each contact line of the left - hand helix helical gear pair can be determined by the load coordination equation, and the constraint conditions formed by this load coordination equation reveal that the load distribution between the left - hand helix helical gear and the right - hand helix helical gear must satisfy the axial force balance and the moment balance; the load coordination equation is shown in Equation (24):

[0121] (24)

[0122] In the formula, F l is the load distributed to the left - hand helix helical gear, which is obtained from formula (1).

[0123] In this embodiment, Equation (24) is used to determine the load borne by each contact line F kk ; specifically, the meshing stiffness of each left-handed slice helical gear pair participating in meshing is superimposed to obtain the meshing stiffness of the contact line , and then , the load assigned to the left-handed helical gear determined by Equation (1) F l and the meshing error of each contact line are substituted into this load coordination equation to obtain the load borne by each contact line F kk,l ; when F kk,l <0, it indicates that the kk th contact line does not participate in meshing. That is, the corresponding parameters are removed from this load coordination equation and recalculated until the numbers of the finally participating contact lines are determined

[0124] Furthermore, it can be seen from Equations (1), (23), and (24) that it is difficult to solve the loads assigned to the left-handed and right-handed helical gears in a herringbone gear; to address this problem, the present invention uses a genetic algorithm for solution; among them, the objective function and constraint conditions are as shown in Equation (25):

[0125] (25)

[0126] In the formula, s.t .1, s.t .2, and s.t .3 are the constraint conditions of the objective function f 1 and the objective function f 2 respectively, s.t .1, s.t .2 are the slice load distribution equation and the load coordination equation respectively, including the cases of left-handed slice gears and right-handed slice gears; and are the sets of the numbers of the contact lines participating in meshing and the numbers of the slice helical gear pairs of the left-handed helical gear pair and the right-handed helical gear pair determined according to Equations (23) and (24), that is, on the premise of satisfying the constraint conditions s.t .1 and s.t .2; taking the left-handed helical gear pair as an example, when a certain slice helical gear pair on a specific contact line participates in meshing, (kk, j, l) ∈ , at this time, F kk,j,l >0; conversely, when a specific contact line does not participate in meshing, or when a certain slice helical gear pair on a specific contact line does not participate in meshing, (kk, j, l) , at this time,F kk,j,l = 0.

[0127] 703. Modify the pre - constructed objective function based on the meshing number information, and use the genetic algorithm to solve the modified objective function to obtain the modified load distribution information.

[0128] In this embodiment, when solving the modified load distribution information based on the genetic algorithm, first, use real - number coding to arrange the loads borne by all engaged left - hand helical gear pairs j and right - hand helical gear pairs j calculated according to formula (23) into a vector in sequence. After determining the value range of the elements, randomly generate an initial population containing N individuals; then use the objective function as the fitness function to evaluate the pros and cons of each individual; then use the roulette wheel selection method combined with the elite retention strategy for the selection operation to select individuals with high fitness from the current population; then perform crossover operations on the selected individuals in a single - point crossover manner according to the preset crossover probability to generate new individuals, and then perform mutation operations on the individuals in a uniform mutation manner according to the preset mutation probability; in each iteration process, judge whether any of the two termination conditions of reaching the maximum number of iterations or the fitness value of the optimal individual in the population being less than or equal to the preset fitness threshold is satisfied. If not, repeat the evaluation, selection, crossover, and mutation steps. If satisfied, stop the iteration, and output the load distribution scheme corresponding to the individual with the smallest fitness value in the population as the modified load distribution information.

[0129] Please refer to Figure 8 , Figure 8 which is a schematic diagram of the meshing stiffness calculation result of a herringbone gear pair; as shown in Figure 8 , with the increase of the torque T p transmitted by the driving wheel, the meshing stiffness of the herringbone gear pair calculated by the method disclosed in this embodiment shows an increasing trend accordingly. The main reason for this phenomenon lies in the load non - linear characteristics of the Hertz contact of the gear pair; further observing Figure 8 , it can be found that there are slight fluctuations in the meshing stiffness of the herringbone gear pair calculated by the method disclosed in this embodiment. This kind of fluctuation phenomenon is attributed to the load distribution situations between the left - hand and right - hand helical gears of the herringbone gear, between the contact lines of the helical gears, and between the adjacent contact points of the contact lines of the helical gears. These distribution situations will change with the change of the meshing parameters of the herringbone gear pair; this discovery emphasizes the significant influence of load distribution on the meshing mechanism and its dynamic response of the herringbone gear, indicating that it must be considered in the subsequent modeling of the meshing stiffness of the herringbone gear.

[0130] The present application discloses a method for determining the meshing stiffness of a modified herringbone gear pair. First, based on the structural characteristics of the herringbone gear, it is decomposed into a left-handed and a right-handed helical gear, and a meshing analysis model of the corresponding modified helical gear pair is constructed using the gear meshing principle. Secondly, by analyzing the influence of modification on the meshing of the helical gear pair and drawing on the idea of the "slicing method", the meshing stiffness of the modified helical gear pair is derived. Then, through the load coordination equations, the load distribution relationship between the meshing points of the helical gear pair and between the left-handed and right-handed helical gears is studied, and the meshing stiffness of the modified herringbone gear pair is calculated based on the proposed iterative algorithm. The method disclosed in the present application makes it possible to study the load distribution relationship between the left-handed and right-handed helical gears and the influence mechanism of the modification design, thereby significantly improving the prediction accuracy of the time-varying meshing stiffness model of the herringbone gear pair, that is, improving the accuracy and reliability of the meshing stiffness of the output gear pair.

[0131] The method for determining the meshing stiffness of the modified herringbone gear in the embodiment of the present invention is described above. Next, the device for determining the meshing stiffness of the modified herringbone gear in the embodiment of the present invention will be described. Please refer to Figure 2 , an embodiment of the device for determining the meshing stiffness of the modified herringbone gear in the embodiment of the present invention includes:

[0132] An initialization module 801 is configured to discretize the herringbone gear pair to obtain slice information, and based on the obtained design parameters and operating parameters of the herringbone gear and the slice information, confirm the initial load distribution information of the herringbone gear pair;

[0133] A confirmation module 802 is configured to determine the meshing point coordinate information of each sliced gear obtained by the discretization process based on the slice information, and confirm the load angle of the herringbone gear pair based on the meshing point coordinate information;

[0134] A calculation module 803 is configured to confirm the tooth body meshing stiffness based on the initial load distribution information, calculate the matrix deformation stiffness based on the confirmed load angle, and then calculate the gear pair meshing stiffness based on the tooth body meshing stiffness and the matrix deformation stiffness;

[0135] A judgment module 804 is configured to judge whether a preset iteration stop condition is satisfied based on the gear pair meshing stiffness. If not, calculate and confirm the corrected load distribution information based on the initial load distribution information and the calculated gear pair meshing stiffness;

[0136] An iteration module 805 is configured to use the corrected load distribution information as the initial load distribution information, and return to execute the confirmation of the tooth body meshing stiffness based on the initial load distribution information.

[0137] Based on the same idea as the method in the above embodiment, the device provided in the present application can implement the method in the above embodiment.

[0138] AboveFigure 2 The meshing stiffness determination device of the modified herringbone gear in the embodiments of the present invention is described in detail from the perspective of modular functional entities. Next, the meshing stiffness determination device of the modified herringbone gear in the embodiments of the present invention is described in detail from the perspective of hardware processing.

[0139] Figure 3 FIG. is a schematic structural diagram of a meshing stiffness determination device of a modified herringbone gear provided by an embodiment of the present invention. The meshing stiffness determination device 900 of the modified herringbone gear may vary greatly due to different configurations or performances, and may include one or more processors (central processing units, CPUs) 910 (for example, one or more processors) and a memory 920, and one or more storage media 930 (for example, one or more mass storage devices) storing application programs 933 or data 932. Among them, the memory 920 and the storage media 930 may be transient storage or persistent storage. The program stored in the storage media 930 may include one or more modules (not shown in the figure), and each module may include a series of instruction operations on the meshing stiffness determination device 900 of the modified herringbone gear. Further, the processor 910 may be configured to communicate with the storage media 930 and execute a series of instruction operations in the storage media 930 on the meshing stiffness determination device 900 to implement the steps of the meshing stiffness determination method of the modified herringbone gear provided in the above method embodiments.

[0140] The meshing stiffness determination device 900 of the modified herringbone gear may further include one or more power supplies 940, one or more wired or wireless network interfaces 950, one or more input / output interfaces 960, and / or one or more operating systems 931, such as Windows Serve, Mac OS X, Unix, Linux, FreeBSD, and so on. Those skilled in the art can understand that Figure 3 the shown structural diagram of the meshing stiffness determination device of the modified herringbone gear does not limit the meshing stiffness determination device of the modified herringbone gear, and may include more or fewer components than shown, or combine certain components, or have different component arrangements.

[0141] The present invention also provides a computer-readable storage medium, which may be a non-volatile computer-readable storage medium or a volatile computer-readable storage medium. Instructions are stored in the computer-readable storage medium. When the instructions run on a computer, the computer is caused to execute the steps of the meshing stiffness determination method of the modified herringbone gear.

[0142] Those skilled in the art can clearly understand that for the convenience and brevity of description, the specific working processes of the systems, devices, or units described above can refer to the corresponding processes in the foregoing method embodiments and will not be elaborated herein.

[0143] If the integrated unit is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on such an understanding, the technical solution of the present invention, in essence, or the part that contributes to the prior art, or all or part of the technical solution, can be embodied in the form of a software product. The computer software product is stored in a storage medium and includes several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of the present invention. The foregoing storage medium includes: various media such as USB flash drives, mobile hard disks, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical discs that can store program codes.

[0144] Finally, it should be noted that the above are only preferred examples of the present invention and are not used to limit the present invention. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art can still modify the technical solutions recorded in the foregoing embodiments or perform equivalent replacements for some of the technical features. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principle of the present invention shall be included within the protection scope of the present invention.

Claims

1. A method for determining the meshing stiffness of a modified herringbone gear, characterized in that, Including: Discretize the herringbone gear pair to obtain slice information, and based on the obtained design parameters and operating conditions of the herringbone gear and the slice information, confirm the initial load distribution information of the herringbone gear pair; Based on the slice information, determine the meshing point coordinate information of each slice gear obtained by the discretization process, and based on the meshing point coordinate information, confirm the load angle of the herringbone gear pair; Based on the initial load distribution information, confirm the tooth body meshing stiffness, calculate the matrix deformation stiffness based on the confirmed load angle, and then calculate the gear pair meshing stiffness based on the tooth body meshing stiffness and the matrix deformation stiffness; Including: According to the obtained design parameters and operating conditions of the herringbone gear, combined with the initial load distribution information, confirm the force information of the herringbone gear pair, and the force information includes the radial component of the meshing force, the tangential component of the meshing force, and the axial component of the meshing force; Based on the design parameters and operating conditions of the herringbone gear, the calculated initial load distribution information, and the confirmed force information, calculate the deformation stiffness of each slice gear, and the deformation stiffness includes Hertz contact stiffness, tangential bending stiffness, tangential shear stiffness, radial compression stiffness, axial bending stiffness, axial shear stiffness, and axial torsion stiffness; Based on the calculated deformation stiffness of each slice gear, calculate the tooth body meshing stiffness; Based on the design parameters and operating conditions of the herringbone gear and the confirmed load angle, calculate the matrix deformation stiffness; Obtain the matrix deformation correction coefficient, and calculate the meshing stiffness of the left-handed slice helical gear pair and the meshing stiffness of the right-handed slice helical gear pair based on the tooth body meshing stiffness, the matrix deformation stiffness, and the matrix deformation correction coefficient; Based on the meshing stiffness of the left-handed slice helical gear pair and the meshing stiffness of the right-handed slice helical gear pair, calculate the gear pair meshing stiffness; Based on the gear pair meshing stiffness, determine whether the preset iteration stop condition is satisfied. If not, then calculate and confirm the corrected load distribution information based on the initial load distribution information and the calculated gear pair meshing stiffness; Use the corrected load distribution information as the initial load distribution information, and return to execute the confirmation of the tooth body meshing stiffness based on the initial load distribution information.

2. The method for determining the meshing stiffness of a modified herringbone gear according to claim 1, wherein The discretization process of the herringbone gear pair to obtain slice information, and based on the obtained design parameters and operating conditions of the herringbone gear and the slice information, confirm the initial load distribution information of the herringbone gear pair, including: Discretize the herringbone gear pair along the tooth width direction to obtain a plurality of left-handed helical gear slices, a plurality of right-handed helical gear slices, and slice information, and the slice information includes the number of slices; Obtain the design parameters and operating conditions of the herringbone gear, and the design parameters include the normal pressure angle and helix angle of the left-handed helical gear and the normal pressure angle and helix angle of the right-handed helical gear, and the operating conditions include the torque transmitted by the driving wheel of the herringbone gear pair; Based on the obtained design parameters and operating conditions of the herringbone gear, the slice information, and the pre-constructed load equation, confirm the initial load distribution information of the herringbone gear pair.

3. The method for determining the meshing stiffness of a modified herringbone gear according to claim 1, characterized in that The determination of the meshing point coordinate information of each slice gear obtained by the discretization process based on the slice information, including: Construct a local coordinate system, and establish a reference line parallel to the tooth width direction of the herringbone gear pair within the constructed local coordinate system; Based on the constructed local coordinate system and reference line, determine the coordinate information of the meshing points of each left-handed helical gear slice and each right-handed helical gear slice obtained by discretization processing.

4. The method for determining the meshing stiffness of the modified herringbone gear according to claim 1, wherein The confirmation of the load angle of the herringbone gear pair based on the coordinate information of the meshing points includes: Confirm the pressure angle and the center distance of the teeth at the meshing point based on the coordinate information of the meshing points; Calculate the pitch circle radius at the meshing point based on the design parameters and operating conditions of the herringbone gear; Calculate the load angle of the herringbone gear pair based on the confirmed pressure angle and center distance of the teeth at the meshing point and the calculated pitch circle radius.

5. The method for determining the meshing stiffness of the modified herringbone gear according to claim 1, characterized in that, The determination of whether the preset iteration stop condition is satisfied based on the meshing stiffness of the gear pair. If not, calculate and confirm the corrected load distribution information based on the initial load distribution information and the calculated meshing stiffness of the gear pair, including: If the calculated meshing stiffness of the gear pair does not meet the preset convergence accuracy and the current iteration number < the preset maximum iteration number, then the preset iteration stop condition is not satisfied; Obtain the preset constraint conditions and the pre-constructed objective function, and confirm the meshing number information based on the preset constraint conditions, the initial load distribution information, and the meshing stiffness of the gear pair; Correct the pre-constructed objective function based on the meshing number information, and use the genetic algorithm to solve the corrected objective function to obtain the corrected load distribution information.

6. A device for determining the meshing stiffness of a modified herringbone gear, characterized in that It includes: An initialization module for discretizing the herringbone gear pair to obtain slice information, and based on the obtained design parameters and operating conditions of the herringbone gear and the slice information, confirm the initial load distribution information of the herringbone gear pair; A confirmation module for determining the coordinate information of the meshing points of each sliced gear obtained by discretization processing based on the slice information, and confirming the load angle of the herringbone gear pair based on the coordinate information of the meshing points; A calculation module for confirming the tooth body meshing stiffness based on the initial load distribution information, calculating the matrix deformation stiffness based on the confirmed load angle, and then calculating the meshing stiffness of the gear pair based on the tooth body meshing stiffness and the matrix deformation stiffness; it includes: according to the obtained design parameters and operating conditions of the herringbone gear, combined with the initial load distribution information, confirm the force information of the herringbone gear pair, and the force information includes the radial component of the meshing force, the tangential component of the meshing force, and the axial component of the meshing force; calculate the deformation stiffness of each sliced gear based on the design parameters and operating conditions of the herringbone gear, the calculated initial load distribution information, and the confirmed force information, and the deformation stiffness includes Hertz contact stiffness, tangential bending stiffness, tangential shear stiffness, radial compression stiffness, axial bending stiffness, axial shear stiffness, and axial torsion stiffness; calculate the tooth body meshing stiffness based on the calculated deformation stiffness of each sliced gear; calculate the matrix deformation stiffness based on the design parameters and operating conditions of the herringbone gear and the confirmed load angle; obtain the matrix deformation correction coefficient, and calculate the meshing stiffness of the left-handed sliced helical gear pair and the right-handed sliced helical gear pair based on the tooth body meshing stiffness, the matrix deformation stiffness, and the matrix deformation correction coefficient; calculate the meshing stiffness of the gear pair based on the meshing stiffness of the left-handed sliced helical gear pair and the right-handed sliced helical gear pair; A judgment module, configured to judge whether a preset iteration stop condition is satisfied based on the meshing stiffness of the gear pair. If not, the corrected load distribution information is calculated based on the initial load distribution information and the calculated meshing stiffness of the gear pair. An iteration module, configured to use the corrected load distribution information as the initial load distribution information and return to execute the confirmation of the tooth body meshing stiffness based on the initial load distribution information.

7. A meshing stiffness determination device for a modified herringbone gear, characterized in that The meshing stiffness determination device of the modified herringbone gear includes: a memory and at least one processor, and instructions are stored in the memory. At least one of the processors calls the instructions in the memory, so that the meshing stiffness determination device of the modified herringbone gear executes each step of the method for determining the meshing stiffness of the modified herringbone gear as described in any one of claims 1-5.

8. A computer-readable storage medium having instructions stored thereon, characterized in that, When the instructions are executed by the processor, each step of the method for determining the meshing stiffness of the modified herringbone gear as described in any one of claims 1-5 is implemented.

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