A rolling bearing fatigue life calculation method and system considering shaft current damage
By establishing a calculation model for the fatigue life of rolling bearings affected by shaft current damage, the problem of the impact of shaft current damage on bearing life was solved, enabling accurate life prediction and fault diagnosis, and improving the reliability of bearings and the dynamic performance of the system.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- NORTHEASTERN UNIV CHINA
- Filing Date
- 2023-10-31
- Publication Date
- 2026-07-21
AI Technical Summary
Existing technologies cannot accurately predict the impact of shaft current damage on the fatigue life of rolling bearings, leading to premature bearing failure.
By establishing a calculation model for the fatigue life of rolling bearings with shaft current damage, the bearing structural design parameters and working load are obtained, a generalized displacement is generated, an early shaft current micro-damage characterization model is established, the bearing contact deformation and life are calculated, and the fatigue life of bearings with shaft current damage is generated.
Accurately predicting bearing rated life and assessing remaining service life improves the accuracy of early fault diagnosis and guides the dynamic performance and reliability of mechanical systems.
Smart Images

Figure CN117725720B_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of bearing technology, and in particular to a method for calculating the fatigue life of rolling bearings that takes into account shaft current damage. Background Technology
[0002] In recent years, issues such as ecological degradation, global warming, and energy shortages have received increasing attention, making the use of clean and renewable energy to replace traditional fossil fuels an inevitable trend in development. Wind power, as a new type of renewable and clean energy, has maintained a rapid development trend. However, wind turbines operate under harsh conditions and are subject to impact loads. They need to withstand a wide range of temperature, humidity, and load variations, thus requiring bearings with good sealing, lubrication, high reliability, impact resistance, and long service life.
[0003] Bearings in wind turbine units are prone to generating shaft voltage at both ends of the shaft. When the shaft voltage exceeds the threshold voltage of the bearing lubricating oil film, it penetrates the thin oil film between the rolling elements and the raceway, generating an electric spark discharge phenomenon. The damage caused by the shaft current drastically shortens the bearing fatigue wear process, leading to premature bearing failure. The shaft current problem involves multiple theories and is an extremely complex phenomenon. Therefore, the fatigue life of rolling bearings considering shaft current damage is still difficult to know. Summary of the Invention
[0004] Therefore, the technical problem to be solved by the present invention is to overcome the limitations of the prior art.
[0005] To address the aforementioned technical problems, the first aspect of this invention provides a method for calculating the fatigue life of rolling bearings considering shaft current damage, comprising:
[0006] Obtain bearing structural design parameters and operating load;
[0007] Based on the bearing structure design parameters and the working load, the force balance equation of the bearing inner ring is established, and the generalized displacement of each rolling element at any point is generated.
[0008] A micro-damage characterization model for early shaft current of rolling bearings is established. The generalized displacement is substituted into the micro-damage characterization model for early shaft current of rolling bearings to generate bearing contact deformation considering shaft current damage.
[0009] Establish a life calculation model for bearing rolling elements and inner and outer rings at any point. Substitute the bearing contact deformation considering shaft current damage and the bearing structural design parameters into the life calculation model for bearing rolling elements and inner and outer rings at any point to generate the fatigue life of bearing rolling elements, the fatigue life of bearing inner rings and the fatigue life of bearing outer ring contact points under shaft current damage.
[0010] A fatigue life calculation model for rolling bearings considering shaft current damage is established. The fatigue life of the rolling elements of the bearing with shaft current damage, the fatigue life of the inner ring of the bearing, and the fatigue life of the contact point of the outer ring of the bearing are substituted into the fatigue life calculation model for the rolling bearing considering shaft current damage to generate the fatigue life of the rolling bearing with shaft current damage.
[0011] In one embodiment of the present invention, the step after inputting the bearing structure design parameters and the working load to establish the force balance equation of the bearing inner ring further includes:
[0012] The contact characteristics of the rolling bearing are analyzed for the generalized displacement to generate the contact force between the bearing and the raceway and the stiffness of the contact pair.
[0013] Substitute the contact force and the stiffness of the contact pair into the force balance equation of the inner ring of the bearing;
[0014] Determine whether the force balance equation of the inner ring of the bearing converges;
[0015] If so, output the generalized displacement of each rolling element at any point;
[0016] If not, then regenerate the generalized displacement of each rolling element at any point.
[0017] In one embodiment of the present invention, the formula for the stiffness of the contact pair is as follows:
[0018]
[0019] In one embodiment of the present invention, the step of generating the generalized displacement of each rolling element at any point includes:
[0020] The force balance equation of the inner ring of the bearing is solved using Newton's iteration method, and the generalized displacement is generated based on the target iteration convergence accuracy and the target number of iteration steps.
[0021] In one embodiment of the present invention, the force balance equation of the bearing inner ring is as follows:
[0022]
[0023] Among them, F x ,F y F represents radial force. z M represents axial force. x M y Let α represent the bending moment, and let α be the contact angle between the j-th rolling element of the bearing and its inner ring. j r p and z p ψ represents the radial and axial distances between the centers of curvature of the inner raceway. j The position angle of the rolling element.
[0024] In one embodiment of the present invention, the formulas for generating the fatigue life of the bearing rolling elements damaged by shaft current, the fatigue life of the bearing inner ring, and the fatigue life of the bearing outer ring contact point are as follows:
[0025]
[0026] Among them, Q vj Q is the contact load between the j-th rolling element and the raceway; nvj This represents the contact between the j-th rolling element and the inner and outer raceways, as well as the basic rated dynamic load of the rolling element.
[0027] In one embodiment of the present invention, the formula for generating the fatigue life of a rolling bearing damaged by shaft current is as follows:
[0028]
[0029] Among them, L cij L coj The fatigue life of each contact point on the inner and outer rings of the bearing; L bij L boj N represents the fatigue life of the rolling element in contact with the inner and outer rings; ij represents the number of revolutions of the ball per revolution of the rotating ring; j = 1 indicates that the calculation starts from the first rolling element; N b is the number of rolling elements; e is the Weibull coefficient.
[0030] The second aspect of the present invention provides a rolling bearing fatigue life calculation system that considers shaft current damage, applied to the rolling bearing fatigue life calculation method considering shaft current damage described in the first aspect above. The system includes: a data processing module and a calculation module.
[0031] The data processing module is configured to: acquire bearing structural design parameters and working load;
[0032] Based on the bearing structure design parameters and the working load, the force balance equation of the bearing inner ring is established, and the generalized displacement of each rolling element at any point is generated.
[0033] The calculation module is configured to: establish a micro-damage characterization model of early shaft current of rolling bearing, substitute the generalized displacement into the micro-damage characterization model of early shaft current of rolling bearing, and generate bearing contact deformation considering shaft current damage.
[0034] Establish a life calculation model for bearing rolling elements and inner and outer rings at any point. Substitute the bearing contact deformation considering shaft current damage and the bearing structural design parameters into the life calculation model for bearing rolling elements and inner and outer rings at any point to generate the fatigue life of bearing rolling elements, the fatigue life of bearing inner rings and the fatigue life of bearing outer ring contact points under shaft current damage.
[0035] A fatigue life calculation model for rolling bearings considering shaft current damage is established. The fatigue life of the rolling elements of the bearing with shaft current damage, the fatigue life of the inner ring of the bearing, and the fatigue life of the contact point of the outer ring of the bearing are substituted into the fatigue life calculation model for the rolling bearing considering shaft current damage to generate the fatigue life of the rolling bearing with shaft current damage.
[0036] A third aspect of the present invention provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the steps of a method for calculating the fatigue life of a rolling bearing considering shaft current damage as described in the first aspect above.
[0037] The fourth aspect of the present invention provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of a method for calculating the fatigue life of a rolling bearing considering shaft current damage as described in the first aspect.
[0038] The technical solution of the present invention has the following advantages compared with the prior art:
[0039] This invention discloses a method for calculating the fatigue life of rolling bearings considering shaft current damage. By establishing a calculation model for the fatigue life of rolling bearings considering shaft current damage, the fatigue life of rolling bearings with shaft current damage is generated. The method explores the mapping relationship between the mechanism of bearing shaft current damage and the evolution of bearing defect shape, size and morphological characteristics. It serves as a reference for predicting the life of bearings with shaft current damage and provides guidance for predicting the dynamic performance and reliability of mechanical systems and improving the accuracy of early bearing fault diagnosis. Attached Figure Description
[0040] To make the content of this invention easier to understand, the invention will be further described in detail below with reference to specific embodiments and accompanying drawings, wherein...
[0041] Figure 1 This is a flowchart of a method for calculating the fatigue life of a rolling bearing that considers shaft current damage, as mentioned in this invention.
[0042] Figure 2 This is a flowchart of another method for calculating the fatigue life of rolling bearings that considers shaft current damage, as mentioned in this invention.
[0043] Figure 3 This is a line graph showing the calculation results of the bearing fatigue life due to shaft current damage in Embodiment 1 of the rolling bearing fatigue life calculation method considering shaft current damage mentioned in this invention.
[0044] Figure 4 This is a line graph showing the calculation results of the bearing fatigue life due to shaft current damage in Embodiment 2 of the rolling bearing fatigue life calculation method considering shaft current damage mentioned in this invention.
[0045] Figure 5 This is a line graph showing the calculation results of the bearing fatigue life due to shaft current damage in Embodiment 3 of the rolling bearing fatigue life calculation method considering shaft current damage mentioned in this invention.
[0046] Figure 6 This is a line graph showing the calculation results of the bearing fatigue life due to shaft current damage in Embodiment 4 of the rolling bearing fatigue life calculation method considering shaft current damage mentioned in this invention.
[0047] Figure 7 This is a line graph showing the calculation results of the bearing fatigue life due to shaft current damage in Embodiment 5 of the rolling bearing fatigue life calculation method considering shaft current damage mentioned in this invention.
[0048] Figure 8 This is a line graph showing the calculation results of the bearing fatigue life due to shaft current damage in Embodiment 6 of the rolling bearing fatigue life calculation method considering shaft current damage mentioned in this invention.
[0049] Figure 9 This is a system architecture diagram of a rolling bearing fatigue life calculation system that considers shaft current damage, as mentioned in this invention. Detailed Implementation
[0050] The present invention will be further described below with reference to the accompanying drawings and specific embodiments, so that those skilled in the art can better understand and implement the present invention. However, the embodiments described are not intended to limit the present invention.
[0051] Reference Figure 1 and Figure 2 As shown, the present invention provides a method for calculating the fatigue life of rolling bearings considering shaft current damage, comprising:
[0052] Step 1: Obtain the bearing structural design parameters and working load;
[0053] It should be noted that the bearing structural parameters include the inner and outer ring raceway curvature radii r. i and r o Rolling element diameter D, number of rolling elements N bContact angle α0, bearing pitch circle diameter d m The radius of curvature coefficient f of the inner and outer raceways of the bearing i and f o wait;
[0054] Working load includes F x ,F y ,F z M x M y etc., among which, F x ,F y F represents radial force. z M represents axial force. x M y Indicates bending moment.
[0055] Step 2: Establish the force balance equation of the bearing inner ring based on the bearing structural design parameters and working load, and generate the generalized displacement δ of each rolling element at any point;
[0056] In one embodiment of the present invention, after inputting the bearing structure design parameters and working load, the step of establishing the force balance equation of the bearing inner ring further includes:
[0057] The contact characteristics of the rolling bearing are analyzed for the generalized displacement δ to generate the contact force F between the bearing and the raceway and the stiffness K of the contact pair.
[0058] Substitute the contact force F and the stiffness K of the contact pair into the force balance equation of the bearing inner ring;
[0059] Determine whether the force balance equations for the inner ring of the bearing converge.
[0060] If so, output the generalized displacement δ of each rolling element at any point;
[0061] If not, then regenerate the generalized displacement δ of each rolling element at any point.
[0062] Specifically, initial and iterative values of the generalized displacement δ are set, and the contact characteristics of the rolling bearing are analyzed. The contact force F between the bearing and the raceway, the stiffness K of the contact pair, and other relevant parameters are calculated. The calculated contact force and other parameters are substituted into the force balance equation of the inner ring of the bearing, and convergence is determined. If convergence is achieved, the generalized displacement δ of each rolling element at any point is output. The specific calculation process is as follows:
[0063] External load F on the inner ring of the bearing T and the displacement δ generated under this external load T Represented as:
[0064] F T =[F x ,F y ,F z Mx M y ] T (1);
[0065] In equation (1), F x ,F y F represents radial force. z M represents axial force. x M y Indicates bending moment.
[0066] δ T =[δ x ,δ y ,δ z ,θ x ,θ y ] T (2);
[0067] In equation (2), δ x δ y δ is the amount of radial deformation produced. z θ represents the axial deformation. x θ y The amount of angular deformation caused.
[0068] The force vector of any rolling element acting on the inner ring of the bearing is denoted by Q. j The displacement vector is represented by u. j express.
[0069]
[0070] In equation (3), Q r Q z T and T represent the force and torque exerted by the rolling elements on the inner ring of the bearing, respectively.
[0071]
[0072] In equation (4), u z For the resulting axial displacement, u r The radial displacement is denoted by θ, and the angular displacement is denoted by θ.
[0073] u j =R j ·δ (5);
[0074] In equation (5), R j Indicate u j The transformation matrix from local coordinates to global coordinates.
[0075]
[0076] After simplification, the force balance equation for the inner ring of the bearing is as follows:
[0077]
[0078] In equation (7), the contact angle between the j-th rolling element and the inner ring is α. j r p and z p This indicates the radial and axial distances between the centers of curvature of the inner raceway.
[0079] In one embodiment of the present invention, the step of generating the generalized displacement δ of each rolling element at any point includes:
[0080] The force balance equation of the bearing inner ring is solved using Newton's iteration method, and the generalized displacement δ is generated based on the target iteration convergence accuracy and the target number of iteration steps.
[0081] For example, the nonlinear equations can be solved using the Newton-Raphson iteration method. The iteration convergence accuracy is set to 10-8 mm, and the maximum number of iteration steps is set to 1000. The generalized displacement δ of each rolling element at any position can be obtained, and the corresponding contact deformation can be calculated.
[0082] In one embodiment of the present invention, for an angular contact ball bearing, the formula for the stiffness coefficient K of the contact pair between the rolling element and the inner and outer rings is as follows:
[0083]
[0084] In equation (8), K i and K o These represent the contact stiffness between the rolling element and the outer and inner rings, respectively.
[0085] Step 3: Establish a micro-damage characterization model for early shaft current of rolling bearings. Substitute the generalized displacement δ into the micro-damage characterization model for early shaft current of rolling bearings to generate the bearing contact deformation δ considering shaft current damage. j The specific calculation process is as follows:
[0086] The size ratio of the rolling element to the damage pit is defined as:
[0087]
[0088] In equation (9), D is the diameter of the rolling element, L is the length of the shaft current damage pit, and B is the width of the shaft current damage pit.
[0089] The aspect ratio of a damage pit is defined as:
[0090]
[0091] In equation (10), L is the length of the shaft current damage pit and B is the width of the shaft current damage pit.
[0092] The depth of the rolling element embedded in the damage pit can be expressed as a function of:
[0093]
[0094] In equation (11), the position angle of the rolling element within the damage pit is expressed as: H1~H4 represent h b Functions at different η bd or η d The different forms of are specifically expressed as follows:
[0095] In the formula, H1 is a constant function at the damage pit:
[0096]
[0097] H2 is a half-sine function at the damage pit:
[0098]
[0099] H3 is a piecewise function at the damage pit:
[0100]
[0101] Circumferential angle of damage pit The depth H when the rolling element and the pit are at their extreme contact position d The following formula represents:
[0102]
[0103] In equation (15), D is the diameter of the rolling element, L is the length of the shaft current damage pit, and d m This is the diameter of the bearing pitch circle.
[0104] H d =0.5d-(r b 2 -(0.5B) 2 ) 0.5 (16);
[0105] In equation (16), r b B is the radius of the rolling element, and B is the width of the shaft current damage pit.
[0106] In conclusion, it can be seen that
[0107]
[0108] In equation (17), H d c is the depth of the pit when it is at the limit contact position. dIt is an intermediate value used to calculate the additional displacement excitation caused by shaft current damage.
[0109] Contact deformation δ under shaft current damage j It can be represented as follows:
[0110] δ j =A-A0 (18);
[0111] In equation (18), A represents the relative distance, and A0 represents the center distance between the curvature radii of the two raceways.
[0112] They are defined as follows:
[0113]
[0114] In equation (19), A represents the relative distance, A0 represents the distance between the centers of the curvature radii of the two raceways, and ψ j The position angle of the rolling element.
[0115] A0=(r i +r o -1)D (20);
[0116] In equation (20), D is the diameter of the rolling element, r i and r o Let be the radius of curvature of the raceway.
[0117] ψ j The rolling element position angle can be represented as follows:
[0118]
[0119] Effective displacement u of the rolling element in the radial and axial directions r u z It can be represented by the relative bearing displacement δ produced under external load:
[0120]
[0121] In equation (22), ψ j The position angle of the rolling element.
[0122] Step 4: Establish a life calculation model for the bearing rolling elements and inner and outer rings at any point, considering the bearing contact deformation δ under shaft current damage. j Substitute the bearing structure design parameters into the life calculation model under the contact of the bearing rolling element and the inner and outer rings at any point to generate the fatigue life of the bearing rolling element damaged by shaft current, the fatigue life of the bearing inner ring and the fatigue life of the bearing outer ring contact point.
[0123] The specific calculation process for fatigue life of bearing rolling elements and each contact point of the inner and outer rings due to shaft current damage is as follows:
[0124] The fatigue life of a bearing is measured in the number of revolutions of the rotating rings, and is as follows:
[0125]
[0126] In equation (23), n b n is the rotational speed of the rolling element (r / min); i The rotational speed (r / min) of the inner ring of the bearing; d m D is the bearing pitch circle diameter (mm); D is the rolling element diameter (mm).
[0127] Since the contact angle between the rolling element and any point of contact with the inner and outer raceways is constantly changing, the basic rated dynamic load of the inner and outer rings and the rolling element is calculated based on the actual contact condition between each rolling element and the inner and outer raceways, as shown in the following formula:
[0128]
[0129] In equation (24), Q cvj Q represents the basic rated dynamic load of the raceway when the j-th rolling element is in contact with the raceway. bvj This represents the basic rated dynamic load of the rolling element when the j-th rolling element is in contact with the raceway.
[0130] The contact load between the j-th rolling element and the raceway is:
[0131]
[0132] In equation (25), Q ij Q is the contact load between the j-th rolling element and the inner raceway; oj Let be the contact load between the j-th rolling element and the outer raceway; κ is the elliptic eccentricity parameter; Γ represents the first-kind complete elliptic integral; Σ represents the second-kind complete elliptic integral; E represents the elastic modulus of the contacting objects; Σρ represents the curvature of the contact between the two objects.
[0133] In one embodiment of the present invention, the formulas for generating the fatigue life of the bearing rolling elements damaged by shaft current, the fatigue life of the bearing inner ring, and the fatigue life of the bearing outer ring contact point are as follows:
[0134]
[0135] In equation (26), n∈(c,b),v∈(i,o), where i represents inside and o represents outside.
[0136] The relevant parameters and deformation δ obtained in the preceding steps jSubstituting into the above formula, the life of the bearing under the condition of shaft current damage to the rolling elements and inner and outer rings at any point can be calculated.
[0137] Step 5: Establish a fatigue life calculation model for rolling bearings considering shaft current damage. Substitute the fatigue life of the rolling elements, the inner ring, and the contact point of the outer ring of the bearing with shaft current damage into the fatigue life calculation model for rolling bearings considering shaft current damage to generate the fatigue life of the rolling bearing with shaft current damage.
[0138] In one embodiment of the present invention, the fatigue life of the bearing damaged by shaft current is calculated by substituting the above-mentioned lifespan into the fatigue life calculation model of the bearing damaged by shaft current.
[0139] For example, the formula for generating the fatigue life of a rolling bearing damaged by shaft current is as follows:
[0140]
[0141] In equation (27), L cij L coj It refers to the fatigue life of each contact point on the inner and outer rings of the bearing; L bij L boj It is the fatigue life of the rolling element in contact with the inner and outer rings; j Nb is the number of ball revolutions per revolution of the rotating ring; e is the number of rolling elements; e is the Weibull coefficient, which is 3 for angular contact ball bearings.
[0142] This allows us to calculate the fatigue life curve of rolling bearings considering damage pits caused by different axial currents.
[0143] refer to Figure 3 , Figure 4 , Figure 5 , Figure 6 , Figure 7 and Figure 8 This represents the bearing fatigue life under different radial loads according to this application. When the calculated bearing fatigue life reaches a critical point where the width B of the shaft current damage pit reaches a critical point, the bearing life changes drastically. Beyond this critical point B, the cumulative damage to the bearing reaches its maximum, and the bearing life begins to decrease rapidly. From... Figure 3 , Figure 4 , Figure 5 , Figure 6 , Figure 7 and Figure 8 The variation pattern shows that when the radial load increases, the damage accumulation rate at the contact points between each rolling element raceway accelerates, and the bearing life is significantly reduced; as the radial force increases, the B value at the inflection point of the bearing fatigue life also increases.
[0144] Bt The width (mm) of the shaft current damage pit when the rate of change of bearing life changes abruptly due to shaft current damage;
[0145] L t Inflection point B t The corresponding shaft current damages the fatigue life (million revolutions) of the bearing;
[0146] This application mentions a method for calculating the fatigue life of rolling bearings that considers shaft current damage. This method can accurately predict the rated life of bearings and assess their remaining service life based on damage conditions during actual use. It possesses both significant practical engineering value and substantial theoretical value, providing guidance for predicting the dynamic performance and reliability of mechanical systems and improving the accuracy of early bearing fault diagnosis. Furthermore, analyzing the causes of shaft current in wind turbine generators is of paramount importance for maintaining motor bearings, reducing motor failures caused by shaft current damage, and ensuring the normal operation of the motor.
[0147] Secondly, referring to Figure 9 As shown, this application provides a second aspect of the invention, which provides a rolling bearing fatigue life calculation system considering shaft current damage, applied to the rolling bearing fatigue life calculation method considering shaft current damage mentioned in the first aspect above. The system includes: a data processing module and a calculation module.
[0148] The data processing module is configured to: acquire bearing structural design parameters and operating load;
[0149] Based on the bearing structural design parameters and working load, the force balance equation of the bearing inner ring is established, and the generalized displacement δ of each rolling element at any point is generated.
[0150] The calculation module is configured to: establish a micro-damage characterization model of early shaft current in rolling bearings; substitute the generalized displacement δ into the micro-damage characterization model of early shaft current in rolling bearings; and generate the bearing contact deformation δ considering shaft current damage. j ;
[0151] Establish a life calculation model for bearing rolling elements and inner / outer ring contact at arbitrary points, and consider bearing contact deformation δ under shaft current damage. j Substitute the bearing structure design parameters into the life calculation model under the contact of the bearing rolling element and the inner and outer rings at any point to generate the fatigue life of the bearing rolling element damaged by shaft current, the fatigue life of the bearing inner ring and the fatigue life of the bearing outer ring contact point.
[0152] A fatigue life calculation model for rolling bearings considering shaft current damage is established. The fatigue life of the rolling elements, the inner ring, and the contact point of the outer ring of the bearing with shaft current damage are substituted into the fatigue life calculation model for rolling bearings considering shaft current damage to generate the fatigue life of rolling bearings with shaft current damage.
[0153] The effects of applying the aforementioned method in the above system can be found in the description of the aforementioned method embodiments, and will not be repeated here.
[0154] A third aspect of the present invention provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the program, it implements the steps of the rolling bearing fatigue life calculation method considering shaft current damage as described in the first aspect or any of the first aspects.
[0155] The fourth aspect of the present invention provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of a method for calculating the fatigue life of a rolling bearing considering shaft current damage as described in the first aspect.
[0156] Those skilled in the art will understand that embodiments of this application can be provided as methods, systems, or computer program products. Therefore, this application can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, this application can take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.
[0157] This application is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this application. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart... Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.
[0158] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.
[0159] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.
[0160] Obviously, the above embodiments are merely illustrative examples for clear explanation and are not intended to limit the implementation. Those skilled in the art will recognize that other variations or modifications can be made based on the above description. It is neither necessary nor possible to exhaustively list all possible implementations here. However, obvious variations or modifications derived therefrom are still within the scope of protection of this invention.
Claims
1. A method for calculating the fatigue life of rolling bearings considering shaft current damage, characterized in that, include: Obtain bearing structural design parameters and operating load; Based on the bearing structure design parameters and the working load, the force balance equation of the bearing inner ring is established, and the generalized displacement of each rolling element at any point is generated. Based on the bearing structure design parameters and the working load, an early shaft current micro-damage characterization model for rolling bearings is established. The generalized displacement is substituted into the early shaft current micro-damage characterization model for rolling bearings to generate bearing contact deformation considering shaft current damage. Based on the bearing structure design parameters and the working load, a life calculation model is established for the bearing rolling element and inner and outer rings in contact at any point. The bearing contact deformation considering shaft current damage and the bearing structure design parameters are substituted into the life calculation model for the bearing rolling element and inner and outer rings in contact at any point to generate the bearing rolling element fatigue life, bearing inner ring fatigue life and bearing outer ring contact point fatigue life under shaft current damage. Based on the bearing structure design parameters and the working load, a fatigue life calculation model for rolling bearing considering shaft current damage is established. The fatigue life of the rolling elements of the bearing with shaft current damage, the fatigue life of the inner ring of the bearing, and the fatigue life of the contact point of the outer ring of the bearing are substituted into the fatigue life calculation model for rolling bearing considering shaft current damage to generate the fatigue life of rolling bearing with shaft current damage. Among them, the contact deformation δ under shaft current damage is considered. j As shown below: ; In the formula, A represents the relative distance, and A0 represents the center distance between the curvature radii of the two raceways, which are defined as follows: ; ; In the formula, D is the rolling element position angle; D is the rolling element diameter, r i and r o Let u be the radius of curvature of the raceway. r u z These represent the effective radial and axial displacements, respectively; As shown below: ; Effective displacement u of the rolling element in the radial and axial directions r u z The relative bearing displacement δ generated under external load is represented by: ; In the formula, , The amount of radial deformation produced, This is the axial deformation. , The amount of angular deformation caused.
2. The method for calculating the fatigue life of rolling bearings considering shaft current damage according to claim 1, characterized in that, The steps following the input of the bearing structural design parameters and the working load, and the establishment of the force balance equation for the bearing inner ring, further include: The contact characteristics of the rolling bearing are analyzed for the generalized displacement to generate the contact force between the bearing and the raceway and the stiffness of the contact pair. Substitute the contact force and the stiffness of the contact pair into the force balance equation of the inner ring of the bearing; Determine whether the force balance equation of the inner ring of the bearing converges; If so, output the generalized displacement of each rolling element at any point; If not, then regenerate the generalized displacement of each rolling element at any point.
3. The method for calculating the fatigue life of rolling bearings considering shaft current damage according to claim 2, characterized in that, The formula for the stiffness of the contact pair is as follows: ; in, This indicates the contact stiffness of the outer ring of the bearing rolling element. This indicates the contact stiffness of the inner ring of the rolling element in a bearing.
4. The method for calculating the fatigue life of rolling bearings considering shaft current damage according to claim 1, characterized in that, The steps to generate the generalized displacement of each rolling element at any point include: The force balance equation of the inner ring of the bearing is solved using Newton's iteration method, and the generalized displacement is generated based on the target iteration convergence accuracy and the target number of iteration steps.
5. The method for calculating the fatigue life of rolling bearings considering shaft current damage according to claim 1, characterized in that, The force balance equation for the inner ring of the bearing is as follows: ; in, Indicates radial force. Indicates axial force. Let α represent the bending moment, and let α be the contact angle between the j-th rolling element of the bearing and its inner ring. j , and This represents the radial and axial distances between the centers of curvature of the inner raceway. The position angle of the rolling element.
6. The method for calculating the fatigue life of rolling bearings considering shaft current damage according to claim 1, characterized in that, The formulas for generating bearing rolling element fatigue life, bearing inner ring fatigue life, and bearing outer ring contact point fatigue life due to shaft current damage are as follows: ; Among them, Q nvj Q represents the basic rated dynamic load when the j-th rolling element contacts the raceway; vj Let be the contact load between the j-th rolling element and the raceway.
7. The method for calculating the fatigue life of rolling bearings considering shaft current damage according to claim 1, characterized in that, The formula for generating axial current damage to the fatigue life of rolling bearings is as follows: ; Among them, L cij L coj The fatigue life of each contact point on the inner and outer rings of the bearing; L bij L boj为 Fatigue life of the rolling element in contact with the inner and outer rings; j This represents the number of revolutions of the ball per revolution of the rotating ring; j=1 indicates that the calculation starts from the first rolling element; N b is the number of rolling elements; e is the Weibull coefficient.
8. A system for calculating the fatigue life of rolling bearings considering shaft current damage, characterized in that, The system for calculating the fatigue life of a rolling bearing considering shaft current damage, as described in any one of claims 1 to 7, comprises: a data processing module and a calculation module; The data processing module is configured to: acquire bearing structural design parameters and working load; Based on the bearing structure design parameters and the working load, the force balance equation of the bearing inner ring is established, and the generalized displacement of each rolling element at any point is generated. The calculation module is configured to: establish a micro-damage characterization model of early shaft current of rolling bearing, substitute the generalized displacement into the micro-damage characterization model of early shaft current of rolling bearing, and generate bearing contact deformation considering shaft current damage. Establish a life calculation model for bearing rolling elements and inner and outer rings at any point. Substitute the bearing contact deformation considering shaft current damage and the bearing structural design parameters into the life calculation model for bearing rolling elements and inner and outer rings at any point to generate the fatigue life of bearing rolling elements, the fatigue life of bearing inner rings and the fatigue life of bearing outer ring contact points under shaft current damage. A fatigue life calculation model for rolling bearings considering shaft current damage is established. The fatigue life of the rolling elements of the bearing with shaft current damage, the fatigue life of the inner ring of the bearing, and the fatigue life of the contact point of the outer ring of the bearing are substituted into the fatigue life calculation model for the rolling bearing considering shaft current damage to generate the fatigue life of the rolling bearing with shaft current damage.
9. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the steps of the method for calculating the fatigue life of a rolling bearing considering shaft current damage as described in any one of claims 1 to 7.
10. A non-transitory computer-readable storage medium having a computer program stored thereon, characterized in that, When executed by a processor, the computer program implements the steps of a method for calculating the fatigue life of a rolling bearing considering shaft current damage as described in any one of claims 1 to 7.