An asymmetric modification method of cylindrical rolling body, terminal and computer readable storage medium

Abstract

The application discloses a method for asymmetrically shaping a cylindrical rolling body, a terminal and a computer readable storage medium. The application discloses a method for asymmetrically shaping a cylindrical rolling body, first, the load borne by a rolling bearing is acquired, the stress state of the cylindrical rolling body is analyzed, and the cylindrical rolling body is subjected to non-equal slicing treatment based on the load-bearing state of the cylindrical rolling body, so that the stress state of the stress concentration part of the cylindrical rolling body can be more accurately acquired. Meanwhile, the initial shaping amount of the cylindrical rolling body is reasonably designed based on the load-bearing state of the cylindrical rolling body, the initial shaping amount is asymmetric, the initial shaping amount of the stress concentration part of the cylindrical rolling body is increased, the initial shaping amount is closer to the final shaping amount, the accuracy of the final shaping curve is ensured, and the iteration optimization process is simplified. The application also discloses a terminal and a computer readable storage medium.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of bearing design, in particular to an asymmetric modification method of cylindrical rolling elements, a terminal and a computer readable storage medium. BACKGROUND

[0002] Cylindrical rolling element bearings are widely used in transmission devices due to their strong load-carrying capacity and good fatigue resistance. However, when straight-line cylindrical rolling elements are subjected to load, they inevitably produce large local stress concentration at both ends. When the local stress exceeds a certain limit, the rolling bearing will fail, seriously affecting the service life of the bearing and causing serious economic losses. In view of the load-carrying disadvantage and application limitation of straight-line cylindrical rolling elements, in 1939, the Swedish scientist Lundberg proposed the basic theory of cylindrical rolling element modification based on the theory of elasticity, and established the logarithmic modification method. Bearing manufacturers and research institutions have further studied the cylindrical rolling element modification technology to improve the modification effect of cylindrical rolling elements and reduce the processing difficulty. So far, cylindrical, logarithmic, full-convex arc and modified line modification methods have been widely used in engineering.

[0003] However, the current cylindrical rolling element modification method is mainly a symmetric modification method for ideal working conditions. When the bearing only bears unidirectional load, this modification method can effectively solve the problem of edge stress concentration of cylindrical rolling elements under symmetric load. However, in actual work, the bearing inevitably bears complex multi-directional load. When the rolling bearing bears a specific load with a tilting moment, the inner and outer rings will inevitably deform at a certain angle. Under the effect of partial load, the deformation of the local contact between the cylindrical rolling element and the ring increases, resulting in that the stress on the cylindrical rolling element is not symmetrically distributed along the axial symmetry plane. At this time, the traditional symmetric modification method cannot completely solve the problem of local stress concentration of cylindrical rolling elements. SUMMARY

[0004] Therefore, the present application provides an asymmetric modification method of cylindrical rolling elements to more accurately and efficiently solve the problem of local stress concentration of cylindrical rolling elements under specific load, thereby improving the service life of cylindrical rolling element bearings.

[0005] To achieve the above purpose, the present application provides an asymmetric modification method of cylindrical rolling elements, comprising the following steps:

[0006] An asymmetric modification method of cylindrical rolling elements, comprising the following steps:

[0007] Step one, according to the stress distribution state of the cylindrical rolling element, the cylindrical rolling element is divided into several slices along the axial direction;

[0008] Step two, according to the stress distribution state of the cylindrical rolling element, an initial modification curve of the cylindrical rolling element is established;

[0009] Step three, building force balance equation and moment balance equation of cylindrical rolling body to obtain deformation of slice; calculating stress of slice according to deformation of slice;

[0010] Step four, taking maximum stress of all slices less than allowable stress as finishing condition of modification; if finishing condition of modification is not met, optimizing current modification curve and returning to step three; if finishing condition of modification is met, entering next step;

[0011] Step five, fitting final modification amount of all slices to obtain final modification curve of cylindrical rolling body.

[0012] Preferably, in the step two:

[0013] The greater the stress of slice, the greater the modification amount of slice;

[0014] The initial modification curve of cylindrical rolling body is established in the following way:

[0015] Taking the midpoint of the axis of cylindrical rolling body as the origin, x aj represents the jth slice on the left of the origin, Δ(x aj ) represents the modification amount of the jth slice on the left of the origin, x bj represents the jth slice on the right of the origin, and Δ(x bj ) is the modification amount of the jth slice on the right of the origin. The initial assignment equation of Δ(x aj ) and Δ(x bj ) is:

[0016]

[0017]

[0018] Wherein, D is the diameter of cylindrical rolling body, L is the length of cylindrical rolling body, a and b are initial assignment coefficients of Δ(x aj ) and Δ(x bj ) respectively, and the assignment coefficients are positively correlated with the stress of slice.

[0019] Preferably, a = 2b, and b = 0.00001-0.00055.

[0020] Preferably, in the step three:

[0021] The force balance equation and the moment balance equation are built, and specifically:

[0022] p = f(δ 1a1 , δ 1a2 ,..., δ iaj ,..., δ naN..., δ 1b1 , δ 1b2 ..., δ ibj ..., δ nbN );

[0023] wherein, p is the bearing working load, δ iaj is the deformation amount generated by the ajth slice of the ith cylindrical rolling body, δ ibj is the deformation amount generated by the bjth slice of the ith cylindrical rolling body;

[0024] According to the force balance equation and the moment balance equation, the bearing working load p obtains the deformation amount of the slice.

[0025] Preferably, the step three comprises:

[0026] A physical equation between the stress borne by the slice and the deformation amount of the slice is established, and specifically is:

[0027] σ = h (δ) ; wherein, σ is the stress borne by the slice, and the maximum stress σ max borne by the slice is calculated.

[0028] Preferably, in the step four, a genetic algorithm is used to optimize the slice reshaping amount.

[0029] Preferably, in the step five, a least square method is used to fit the slice reshaping amount.

[0030] Preferably, in the step one: the number of slices is at least 20; the thicker the slice segment on the cylindrical rolling body is, the smaller the thickness of the slice obtained by division is along the axial direction.

[0031] Preferably, the step one further comprises a stress distribution step, specifically: obtaining the load borne by the cylindrical rolling body, and analyzing the stress distribution state of the cylindrical rolling body.

[0032] The present application has at least the following beneficial effects:

[0033] First, the load borne by the rolling bearing is obtained, the stress state of the cylindrical rolling body is analyzed, and based on the load-bearing state of the cylindrical rolling body, the cylindrical rolling body is processed by non-equal division slicing, and the stress state of the stress concentration part is more accurately obtained by precise slicing processing at the stress concentration part of the cylindrical rolling body. At the same time, based on the load-bearing state of the cylindrical rolling body, the initial reshaping amount is reasonably designed, the initial reshaping amount is increased by using an asymmetric initial reshaping amount, the initial reshaping amount is closer to the final reshaping amount, the accuracy of the final obtained reshaping curve is ensured, and the iteration optimization process is simplified.

[0034] The application further discloses a terminal, which comprises a processor, a memory and a communication bus.

[0035] The communication bus is used to enable communication between the processor and the memory;

[0036] The processor is used to execute one or more programs stored in the memory to implement the steps of the asymmetric shaping method described above.

[0037] The present invention also discloses a computer-readable storage medium storing at least one instruction, at least one program, code set, or instruction set, wherein the instruction, program, code set, or instruction set is loaded and executed by a processor to perform the operations performed in the asymmetric shaping method described above. Attached Figure Description

[0038] To more clearly illustrate the technical solutions of the embodiments of this application, the accompanying drawings used in the embodiments will be briefly described below. It should be understood that the following drawings only show some embodiments of this application. For those skilled in the art, other related drawings can be obtained based on these drawings without creative effort.

[0039] Figure 1 A flowchart illustrating an asymmetric shaping method for a cylindrical rolling element provided in this application embodiment;

[0040] Figure 2 This is a schematic diagram of an asymmetric load distribution on a cylindrical rolling element provided in an embodiment of this application;

[0041] Figure 3 In response to Figure 2 A schematic diagram of a specific slicing method for a cylindrical rolling element;

[0042] Figure 4 A comparison diagram of two profile curves for cylindrical rolling elements;

[0043] Figure 5 To use separately Figure 4 A simulation comparison of the stress on the cylindrical rolling element after modifying the two different profile curves.

[0044] in, Figure 4 The horizontal axis represents the slice position, and the vertical axis represents the amount of reshaping. Figure 5 The horizontal axis represents the slice location, and the vertical axis represents the stress. Detailed Implementation

[0045] To make the objectives, technical solutions, and advantages of this application clearer, the technical solutions in the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. It should be understood that the accompanying drawings in this application are for illustrative and descriptive purposes only and are not intended to limit the scope of protection of this application.

[0046] Referring to Figure 1 The asymmetric modification method of the cylindrical rolling element provided by the embodiment of the application comprises the following steps:

[0047] In step S1, the load borne by the cylindrical rolling element is obtained, and the stress distribution state of the cylindrical rolling element is analyzed.

[0048] In step S2, the cylindrical rolling element is divided into a plurality of slices in an axial direction according to the stress distribution state of the cylindrical rolling element. Specifically, the thicker the slice is in the axial direction, the more concentrated the stress on the slice is.

[0049] In step S3, the initial modification curve of the cylindrical rolling element is established according to the stress distribution state of the cylindrical rolling element. Specifically, the greater the stress on the slice is, the greater the modification amount of the slice is.

[0050] In step S4, the force balance equation and the moment balance equation of the cylindrical rolling element are constructed, and the deformation amount of the slice is obtained.

[0051] In step S5, the stress borne by the slice is calculated according to the deformation amount of the slice.

[0052] In step S6, the maximum stress borne by all the slices is less than the allowable stress as the modification termination condition. If the modification termination condition is not met, the modification amount is optimized (the current modification curve is optimized), and the cycle from step S4 is started until the modification termination condition is met.

[0053] In step S7, the final modification amount of all the slices is fitted to obtain the final modification curve of the cylindrical rolling element.

[0054] The asymmetric modification method of the cylindrical rolling element described above first obtains the load borne by the rolling bearing, analyzes the stress state of the cylindrical rolling element, and performs non-equivalent slicing processing on the cylindrical rolling element based on the load state of the cylindrical rolling element. The stress state of the stress concentration part can be more accurately obtained through precise slicing processing on the stress concentration part of the cylindrical rolling element. At the same time, the initial modification amount of the cylindrical rolling element is reasonably designed based on the load state of the cylindrical rolling element. The initial modification amount is asymmetric, the initial modification amount of the stress concentration part of the cylindrical rolling element is increased, the initial modification amount is closer to the final modification amount, the accuracy of the final modification curve is ensured, and the iterative optimization process is simplified.

[0055] Based on Figure 1 The asymmetric modification method of the cylindrical rolling element is shown in the following specific application scenario.

[0056] As Figure 2As shown, in a specific application scenario, the load on the cylindrical rolling element decreases from end A to end B. Following the slicing method provided in this embodiment, the cylindrical rolling element is sliced ​​from denser to sparser sections from end A to end B. The slicing result is as follows. Figure 3 As shown.

[0057] In this implementation, the initial profile modification curve of the cylindrical rolling element is established in the following manner:

[0058] With the midpoint of the cylindrical rolling element's axis as the origin, x aj Denotes the j-th slice to the left of the origin, Δ(x) aj ) represents the reshaping amount of the j-th slice to the left of the origin, x bj Denotes the j-th slice to the right of the origin, Δ(x) bj ) is the reshaping amount of the j-th slice to the right of the origin, given by Δ(x) aj ) and Δ(x bj The initial assignment equation for ) is:

[0059]

[0060]

[0061] Where D is the diameter of the cylindrical rolling element, L is the length of the cylindrical rolling element, and a and b are Δ(x) and Δ(x) respectively. aj ) and Δ(x bj The initial assignment coefficients, which are positively correlated with the stress on the slice, specifically... Figure 2 , Figure 3 In the application scenario shown, we take a = 2b and b = 0.00035.

[0062] Next, the equilibrium equations and torque equilibrium equations are constructed, specifically as follows:

[0063] p = f(δ) 1a1 ,δ 1a2 ,...,δ iaj ,...,δ naN ,...,δ 1b1 ,δ 1b2 ,...,δ ibj ,...,δ nbN );

[0064] Where p is the working load of the cylindrical rolling element bearing, δ iaj δ represents the deformation generated by the aj-th slice of the i-th cylindrical rolling element. ibj The deformation generated for the bj-th slice of the i-th cylindrical rolling body.

[0065] Since p is known, δ can be calculated. ibjthe value of the number of slices, i.e. the deformation of the specific slice.

[0066] Next, a physical equation between the stress suffered by the slice and the deformation of the slice is established, specifically:

[0067] σ = h (δ) ; wherein σ is the stress suffered by the slice. Since different slices have different deformations, the stress they suffer is also different. The slice with the maximum deformation has the maximum stress σ max .

[0068] Due to factors such as structure and material, the cylindrical rolling body itself has a allowable stress [σ], and the stress suffered by any point on the cylindrical rolling body is less than the allowable stress [σ], so in the embodiment of the application, the modification termination condition is set as σ max <[σ]. When the modification amount does not meet the modification termination condition, the entire modification curve is optimized until the modification termination condition is met.

[0069] In the embodiment, the genetic algorithm is used to optimize the slice modification amount, and good optimization results can be obtained.

[0070] In the embodiment, the least squares method is used to fit the slice modification amount, and a modification curve that is more consistent with the actual situation can be obtained.

[0071] In the embodiment, the number of slices is 30. The more slices, the easier it is to obtain a more accurate modification curve, but the more slices, the greater the amount of calculation. In other specific embodiments, the number of slices can also be in other ranges, but preferably the number of slices is at least 20.

[0072] In Figure 2 , Figure 3 The asymmetric modification method of the cylindrical rolling body described in the embodiment of the application is implemented in the specific application scenario shown in Figure 4 .

[0073] Further, after modification using the two modification curves in Figure 4 , in the embodiment, the stress suffered by the cylindrical rolling body is also simulated and compared, as shown in Figure 5 , compared with the traditional modification method, the final modification curve obtained by the asymmetric modification method is more consistent with the stress distribution state of the cylindrical rolling body.

[0074] In summary, the embodiment of the present application analyzes the stress state of the cylindrical rolling body under specific load, reasonably and ingeniously designs the slice size and initial modification amount of different load parts of the cylindrical rolling body, and further ensures the accuracy of the final obtained modification curve and simplifies the iterative optimization process of the modification amount. Based on the traditional symmetric modification method, the asymmetric initial modification amount suitable for the cylindrical rolling body under the effect of the asymmetric initial modification amount is obtained, and the initial modification amount is perfected through the iterative optimization process, and finally the optimal modification curve is obtained.

[0075] The embodiment also relates to a terminal, which comprises a processor, a memory and a communication bus;

[0076] The communication bus is used to realize the connection communication between the processor and the memory;

[0077] The processor is used to execute one or more programs stored in the memory to realize the steps of the asymmetric modification method.

[0078] The embodiment also relates to a computer readable storage medium, which stores at least one instruction, at least one program, a code set or an instruction set, and the processor loads and executes the operation performed in the asymmetric modification method.

[0079] In the specification, “in some specific embodiments”, “in some possible embodiments” or “in the present application” means that in one or more embodiments of the present application, the specific features, structures or characteristics described in connection with the embodiment are included. Therefore, the statements “in some specific embodiments”, “in some possible embodiments” or “in the present application” appearing in different parts of the specification do not necessarily refer to the same embodiment, but mean “one or more but not all embodiments”, unless otherwise specifically emphasized. The terms “include”, “contain”, “have” and their variants mean “include but are not limited to”, unless otherwise specifically emphasized.

[0080] The above-described embodiments are only some embodiments of the present application, not all embodiments. The components of the embodiments of the present application generally described and shown in the drawings can be arranged and designed in various different configurations. Therefore, the detailed description of the embodiments of the present application provided in the drawings is not intended to limit the protection scope of the present application, but only represents selected embodiments of the present application. Therefore, the protection scope of the present application should be subject to the protection scope of the claims. In addition, all other embodiments obtained by those skilled in the art based on the embodiments of the present application without creative labor should belong to the scope of protection of the present application.

Claims

1. An asymmetric shaping method for a cylindrical rolling element, characterized in that, Includes the following steps: Step 1: Based on the stress distribution of the cylindrical rolling element, divide the cylindrical rolling element into several slices along the axial direction in a non-equal manner; Step 2: Based on the stress distribution of the cylindrical rolling element, establish the initial shaping curve of the cylindrical rolling element; Step 3: Construct the force balance equation and moment balance equation of the cylindrical rolling element, and obtain the deformation of the slice; calculate the stress on the slice based on the deformation of the slice; Step 4: The shaping is terminated when the maximum stress experienced by all slices is less than the allowable stress. If the shaping termination condition is not met, optimize the current shaping curve and return to step three; if the shaping termination condition is met, proceed to the next step. Step 5: Fit the final shaping amount of all slices to obtain the final shaping curve of the cylindrical rolling element; The initial shaping curve of the cylindrical rolling element in step two is established in the following manner: With the midpoint of the cylindrical rolling element's axis as the origin, x aj Denotes the j-th slice to the left of the origin, Δ(x) aj ) represents the reshaping amount of the j-th slice to the left of the origin, x bj Denotes the j-th slice to the right of the origin, Δ(x) bj ) is the reshaping amount of the j-th slice to the right of the origin, given by Δ(x) aj ) and Δ(x bj The initial assignment equation for ) is: Where D is the diameter of the cylindrical rolling element, L is the length of the cylindrical rolling element, and a and b are Δ(x) and Δ(x) respectively. aj ) and Δ(x bj The initial assignment coefficients are positively correlated with the stress on the slice.

2. The asymmetric shaping method according to claim 1, characterized in that, In step two: The greater the stress, the greater the amount of reshaping required for the slice.

3. The asymmetric shaping method according to claim 2, characterized in that, a=2b, b=0.00001-0.00055.

4. The asymmetric shaping method according to claim 1, characterized in that, In step three: The force balance equations and moment balance equations are constructed as follows: p=f(δ 1a1 ,d 1a2 ,...,d iaj ,...,d naN ,...,d 1b1 ,d 1b2 ,...,d ibj ,...,d nbN ); Where p is the bearing working load, δ iaj δ represents the deformation generated by the aj-th slice of the i-th cylindrical rolling element. ibj The deformation generated for the bj-th slice of the i-th cylindrical rolling element; Based on the force balance equation and the torque balance equation, the deformation of the slice is obtained from the bearing working load p.

5. The asymmetric shaping method according to claim 4, characterized in that, Step three includes: The physical equations relating the stress on the slice to its deformation are established as follows: σ = h(δ); where σ is the stress on the slice, and the maximum stress σ on the slice is calculated. max .

6. The asymmetric shaping method according to claim 1, characterized in that, In step four, a genetic algorithm is used to optimize the amount of slice reshaping. In step five, the least squares method is used to fit the slice reshaping amount.

7. The asymmetric shaping method according to claim 1, characterized in that, In step one: the number of slices is at least 20; the more concentrated the stress is on the segment of the cylindrical rolling body, the smaller the thickness of the slice along the axial direction.

8. The asymmetric shaping method according to claim 1, characterized in that, Before step one, there is also a stress distribution step, which specifically involves: obtaining the load on the cylindrical rolling element and analyzing the stress distribution state of the cylindrical rolling element.

9. A terminal, the terminal comprising a processor, a memory, and a communication bus; The communication bus is used to enable communication between the processor and the memory; The processor is used to execute one or more programs stored in the memory to implement the steps of the asymmetric shaping method as described in any one of claims 1 to 8.

10. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores at least one instruction, at least one program, code set, or instruction set, the instruction, program, code set, or instruction set being loaded and executed by a processor to perform the operations performed in the asymmetric shaping method as described in any one of claims 1 to 8.

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