Aviation floating spline contact stress calculation method, system, equipment and medium

Abstract

The invention belongs to the field of aero-engines, relates to an engine part contact stress calculation technology, and provides an aviation floating spline contact stress calculation method, system and device and a medium, and the method comprises the steps: building a maneuvering deformation mechanical model comprising an inner spline shaft, an outer spline shaft and a plurality of bearings; obtaining the radial support stiffness of the radial intermediate bearing according to the spline normal stiffness and the spline structure; maneuvering deformation simulation analysis is conducted on the radial supporting rigidity of the radial intermediate bearing and the supporting rigidity of each bearing through the simulation model, and maneuvering deformation of the floating spline under the maneuvering load is obtained; and inputting the maneuvering deformation into the established contact stress simulation model for contact stress analysis to obtain the contact stress of the floating spline. Compared with a traditional design method, the service time of the spline designed through the method before excessive contact fatigue abrasion occurs in long-term service is prolonged by about 25%-30%, the maintenance and replacement period of the spline is prolonged, and the maintenance cost and the economic cost are saved.

Description

Technical Field

[0001] The present invention relates to the field of aero-engines, and to a contact stress calculation technology for engine parts, and in particular to a contact stress calculation method, system, equipment and medium for aero-floating splines. Background Art

[0002] In the engineering practice of aircraft engines, in order to facilitate the assembly of the transfer shaft, floating splines are often used to connect the two rotors. It is a commonly used rotor connection structure in the engine. The structure of the floating spline is as follows Figure 1 As shown, it is formed by an inner spline shaft 1, an outer spline shaft 2, a roller bearing 3 and a ball bearing 4. Among them, the spline contact stress is the most important design index affecting the reliable operation of the spline. In order to ensure the safe operation of the aircraft engine rotor, it is necessary to conduct a detailed analysis of the contact stress of the floating spline of the aircraft engine.

[0003] At present, the design method of spline pair contact pressure is usually calculated according to navigation marks or national standards. Although the eccentric load coefficient and stress concentration in operation are taken into account during the calculation, the floating splines in actual service are still prone to premature contact wear and fatigue failure, and the splines need to be frequently repaired or replaced, resulting in a large waste of manpower and financial resources. Studies have found that the main reason for the contact wear of floating splines is that the floating amount of floating splines in actual work is difficult to control. In addition, the floating deformation of splines caused by assembly, processing errors and working loads will also directly affect the floating amount of splines. Among them, the maneuvering overload in actual flight has a significant impact on the floating amount of splines. If the influence of maneuvering deformation is not considered in the calculation, it may lead to a large difference between the design results and the service status, resulting in premature contact fatigue or wear of the splines.

[0004] Therefore, for the design and analysis of contact stress of aero-engine floating splines, it is crucial to propose a design method for contact stress of aero-engine floating splines that takes into account maneuvering deformation. Summary of the invention

[0005] In order to solve the technical problem that the influence of maneuvering deformation is not considered in the calculation of contact stress of floating splines of existing aircraft engines, which makes it difficult to control the floating amount of splines, and then there is a large difference between the design result and the service state, resulting in premature contact fatigue or wear of the splines, the present invention discloses a method for calculating contact stress of floating splines of aircraft engines, and the method comprises the following steps: S1. A motorized deformation mechanics model is established by adopting a simplified floating spline connection structure, wherein the motorized deformation mechanics model includes an inner spline shaft, an outer spline shaft, a first radial grounding bearing, a second radial grounding bearing, a third radial grounding bearing, a first axial grounding bearing, a second axial grounding bearing and a radial intermediate bearing; S2. Obtain radial support stiffness of radial intermediate bearing according to spline normal stiffness and spline structure; S3, establishing a simulation model according to the maneuverable deformation mechanical model, performing maneuverable deformation simulation analysis through the radial support stiffness of the radial intermediate bearing, the first radial ground bearing support stiffness, the second radial ground bearing support stiffness, the third radial ground bearing support stiffness, the first axial ground bearing support stiffness and the second axial ground bearing support stiffness, to obtain the maneuverable deformation of the floating spline under the maneuverable load; S4. According to the spline input shaft length, output shaft length and spline tooth surface meshing contact length, a contact stress simulation model is established using the floating spline connection structure, the mechanical deformation is input into the contact stress simulation model to perform contact stress analysis, and the floating spline contact stress is obtained.

[0006] Furthermore, in step S1, a simplified floating spline connection structure is used to establish a maneuvering deformation mechanics model, including: S11, performing structural analysis on the floating spline, extracting the inner spline shaft and the outer spline shaft from the structural analysis results to establish a simplified floating spline connection structure; S12. Set a first radial grounding bearing at a position on the inner spline shaft that contacts the roller bearing, set a second radial grounding bearing and a first axial grounding bearing at a position on the inner spline shaft that contacts the ball bearing, set a radial intermediate bearing at a position on the inner spline shaft that contacts the outer spline shaft, and set a third radial grounding bearing and a second axial grounding bearing at a position on the outer spline shaft that cooperates with other splines to obtain a motorized deformation mechanics model.

[0007] Further, in step S2, the radial support stiffness of the radial intermediate bearing is obtained according to the spline normal stiffness and the spline structure, including: S21, calculating the angle between the normal direction and the vertical direction of the tooth contact surface of each tooth according to the rotation angle and contact pressure angle of each tooth matched between the internal spline and the external spline in polar coordinates; S22, obtaining the displacement of the single tooth model caused by applying a unit load in the normal direction by a simulation method, and obtaining the spline normal stiffness by taking the inverse of the displacement; S23, calculating the radial support stiffness of each tooth according to the included angle and the spline normal stiffness; S24. Sum the radial support stiffness of all teeth mating between the internal spline and the external spline to obtain the radial support stiffness of the radial intermediate bearing.

[0008] Further, in step S3, a simulation model is established according to the maneuverable deformation mechanical model, and a maneuverable deformation simulation analysis is performed through the radial support stiffness of the radial intermediate bearing, the first radial ground bearing support stiffness, the second radial ground bearing support stiffness, the third radial ground bearing support stiffness, the first axial ground bearing support stiffness and the second axial ground bearing support stiffness to obtain the maneuverable deformation of the floating spline under the maneuverable load, including: S31. Acquire a first radial grounded bearing support stiffness according to the roller bearing structure, and acquire a second radial grounded bearing support stiffness, a third radial grounded bearing support stiffness, a first axial grounded bearing support stiffness, and a second axial grounded bearing support stiffness according to the ball bearing structure; S32, inputting the unit axial overload or unit radial overload, the unit gyroscopic moment, the radial support stiffness of the radial intermediate bearing, the first radial grounded bearing support stiffness, the second radial grounded bearing support stiffness, the third radial grounded bearing support stiffness, the first axial grounded bearing support stiffness and the second axial grounded bearing support stiffness into a simulation model established by a maneuverable deformation mechanics model, and obtaining the axial deformation and the first angular deformation and the first radial deformation, or obtaining the axial deformation and the second angular deformation and the second radial deformation; S33, obtaining a first motorized deformation through the axial deformation, the first angular deformation and the first radial deformation, obtaining a second motorized deformation through the axial deformation, the second angular deformation and the second radial deformation, and using the first motorized deformation and the second motorized deformation as motorized deformations.

[0009] In an improved embodiment of the above-mentioned aviation floating spline contact stress calculation method, the method further includes: S5. Evaluate the fatigue reserve of the floating spline according to the floating spline contact stress.

[0010] Furthermore, in the above step S5, the floating spline fatigue reserve is evaluated according to the floating spline contact stress, including: The floating spline fatigue reserve is evaluated according to the contact fatigue limit and the floating spline contact stress, or the floating spline fatigue reserve is evaluated according to the floating spline contact stress and the target life.

[0011] An embodiment of the present invention further provides an aviation floating spline contact stress calculation system, comprising a maneuvering deformation mechanical model construction module, a support stiffness calculation module, a floating spline maneuvering deformation calculation module and a contact stress calculation module.

[0012] The motorized deformation mechanics model building module is used to establish a motorized deformation mechanics model using a simplified floating spline connection structure, and the motorized deformation mechanics model includes an inner spline shaft, an outer spline shaft, a first radial grounding bearing, a second radial grounding bearing, a third radial grounding bearing, a first axial grounding bearing, a second axial grounding bearing and a radial intermediate bearing; The support stiffness calculation module is used to obtain the radial support stiffness of the radial intermediate bearing according to the spline normal stiffness and the spline structure; The floating spline maneuvering deformation calculation module is used to establish a simulation model based on the maneuvering deformation mechanical model, and perform maneuvering deformation simulation analysis through the radial support stiffness of the radial intermediate bearing, the first radial ground bearing support stiffness, the second radial ground bearing support stiffness, the third radial ground bearing support stiffness, the first axial ground bearing support stiffness and the second axial ground bearing support stiffness to obtain the maneuvering deformation of the floating spline under the maneuvering load; The contact stress calculation module is used to establish a contact stress simulation model using the floating spline connection structure based on the spline input shaft length, output shaft length and spline tooth surface meshing contact length, input the mechanical deformation into the contact stress simulation model to perform contact stress analysis, and obtain the floating spline contact stress.

[0013] Furthermore, the system further comprises an evaluation module, and the evaluation module is used to evaluate the fatigue reserve of the floating spline according to the floating spline contact stress.

[0014] An embodiment of the present invention also provides a computer device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor implements any of the above-mentioned methods for calculating contact stress of aviation floating splines when executing the computer program, so as to solve the technical problem that the influence of maneuvering deformation is not considered in the contact stress calculation of existing aviation engine floating splines, resulting in the difficulty in controlling the floating amount of the splines, and thus there is a large difference between the design results and the service status, resulting in premature contact fatigue or wear of the splines.

[0015] An embodiment of the present invention also provides a computer-readable storage medium, which stores a computer program for executing any of the above-mentioned aviation floating spline contact stress calculation methods, so as to solve the technical problem that the influence of maneuvering deformation is not considered when calculating the contact stress of the existing aircraft engine floating spline, resulting in the difficulty in controlling the spline floating amount, and then there is a large difference between the design result and the service status, which leads to premature contact fatigue or wear of the spline.

[0016] Compared with the prior art, the beneficial effects that can be achieved by at least one of the above technical solutions adopted in the embodiments of this specification include at least: the method of the present invention can quickly establish a mechanical model of the maneuvering deformation of aviation floating splines and a contact stress calculation model, forming a contact stress design method for aviation floating splines that takes into account maneuvering deformation, which is mainly used in the simulation analysis of the contact stress of aircraft engine transmission splines, and can solve the contact fatigue problem of splines working for a long time in the maneuvering state of the aircraft during flight. The service life of the splines designed by the present invention before excessive contact fatigue wear occurs in long-term service is increased by about 25% to 30% compared with the traditional design method, which increases the maintenance and replacement cycle of the splines and saves maintenance costs and economic costs. BRIEF DESCRIPTION OF THE DRAWINGS

[0017] In order to more clearly illustrate the technical solutions of the embodiments of the present application, the drawings required for use in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

[0018] Figure 1 It is a structural schematic diagram of a floating spline in the prior art; Figure 2 A flow chart of a method for calculating contact stress of an aviation floating spline disclosed in an embodiment of the present invention; Figure 3 A schematic diagram of a motorized deformation mechanics model disclosed in an embodiment of the present invention; Figure 4 A schematic diagram of the meshing of a group of internal and external splines in a floating spline disclosed in an embodiment of the present invention; Figure 5 The spline contact stress-fatigue life curve disclosed in the embodiment of the present invention; Figure 6 This is a schematic diagram of the contact stress calculation of the aviation floating spline disclosed in an embodiment of the present invention; Among them, 1. inner spline shaft; 2. outer spline shaft; 3. roller bearing; 4. ball bearing; 5. first radial grounded bearing; 6. second radial grounded bearing; 7. first axial grounded bearing; 8. radial intermediate bearing; 9. third radial grounded bearing; 10. second axial grounded bearing; 601. maneuvering deformation mechanics model construction module; 602. support stiffness calculation module; 603. floating spline maneuvering deformation calculation module; 604. contact stress calculation module; 605. evaluation module. DETAILED DESCRIPTION

[0019] The embodiments of the present application are described in detail below with reference to the accompanying drawings.

[0020] The following describes the implementation methods of the present application through specific specific examples, and those skilled in the art can easily understand other advantages and effects of the present application from the content disclosed in this specification. Obviously, the described embodiments are only a part of the embodiments of the present application, rather than all the embodiments. The present application can also be implemented or applied through other different specific implementation methods, and the details in this specification can also be modified or changed in various ways based on different viewpoints and applications without departing from the spirit of the present application. It should be noted that the following embodiments and the features of the embodiments can be combined with each other in the absence of conflict. Based on the embodiments in the present application, all other embodiments obtained by ordinary technicians in the field without making creative work belong to the scope of protection of the present application.

[0021] The present invention discloses a method for calculating contact stress of an aviation floating spline, see Figure 2 As shown, the method comprises the following steps: S1. A motorized deformation mechanics model is established by adopting a simplified floating spline connection structure, wherein the motorized deformation mechanics model includes an inner spline shaft, an outer spline shaft, a first radial grounding bearing, a second radial grounding bearing, a third radial grounding bearing, a first axial grounding bearing, a second axial grounding bearing and a radial intermediate bearing; S2. Obtain radial support stiffness of radial intermediate bearing according to spline normal stiffness and spline structure; S3, establishing a simulation model according to the maneuverable deformation mechanical model, performing maneuverable deformation simulation analysis through the radial support stiffness of the radial intermediate bearing, the first radial ground bearing support stiffness, the second radial ground bearing support stiffness, the third radial ground bearing support stiffness, the first axial ground bearing support stiffness and the second axial ground bearing support stiffness, to obtain the maneuverable deformation of the floating spline under the maneuverable load; S4. According to the spline input shaft length, output shaft length and spline tooth surface meshing contact length, a contact stress simulation model is established using the floating spline connection structure, the mechanical deformation is input into the contact stress simulation model to perform contact stress analysis, and the floating spline contact stress is obtained.

[0022] Furthermore, in step S1, a simplified floating spline connection structure is used to establish a maneuvering deformation mechanics model, including: S11, performing structural analysis on the floating spline, extracting the inner spline shaft and the outer spline shaft from the structural analysis results to establish a simplified floating spline connection structure; S12, a first radial grounding bearing 5 is arranged at a position on the inner spline shaft that contacts the roller bearing, a second radial grounding bearing 6 and a first axial grounding bearing 7 are arranged at a position on the inner spline shaft that contacts the ball bearing, a radial intermediate bearing 8 is arranged at a position on the inner spline shaft that contacts the outer spline shaft, and a third radial grounding bearing 9 and a second axial grounding bearing 10 are arranged at a position on the outer spline shaft that cooperates with other splines, so as to obtain the following: Figure 3 The mechanical model of the motorized deformation is shown. In step S3, when the simulation model is established, each bearing in the mechanical model of the motorized deformation can be simulated by using a spring unit.

[0023] Further, in step S2, the radial support stiffness of the radial intermediate bearing is obtained according to the spline normal stiffness and the spline structure, including: S21, calculating the angle between the normal direction and the vertical direction of the tooth contact surface of each tooth according to the rotation angle and contact pressure angle of each tooth matched between the internal spline and the external spline in polar coordinates; S22, obtaining the displacement of the single tooth model caused by applying a unit load in the normal direction by a simulation method, and obtaining the spline normal stiffness by taking the inverse of the displacement; S23, calculating the radial support stiffness of each tooth according to the included angle and the spline normal stiffness; S24. Sum the radial support stiffness of all teeth mating between the internal spline and the external spline to obtain the radial support stiffness of the radial intermediate bearing.

[0024] In specific implementation, the meshing diagram of a set of internal and external splines in the floating spline is as follows: Figure 4 As shown, the definition is the angle between the normal direction of the tooth contact surface of the i-th tooth and the vertical direction, , see Figure 4 As shown, θ i is the rotation angle of the i-th tooth in polar coordinates, is the contact pressure angle of the spline tooth surface, where the contact pressure angle Can be positive or negative, The positive or negative value of is related to the load transfer mode of the front guide surface. When the external spline is the active tooth, Take a negative value, when the internal spline is the active tooth, Take a positive value. Each tooth of the spline can be regarded as a separate spring, where the radial support stiffness of the i-th tooth is K i , which can be calculated according to the following formula (1): Formula (1), where K nis the normal stiffness of the spline. The displacement caused by the unit load applied to the single tooth model in the normal direction can be obtained by simulation method, that is, the flexibility. Then, the reciprocal of the displacement can be obtained to get the normal stiffness. For example, the calculated result is 8.9×10 8 N / m.

[0025] The total radial stiffness of all contacting teeth of a set of splines is , that is, the radial support stiffness of the radial intermediate bearing can be calculated according to the following formula (2): Formula (2), where m is the total number of spline contact teeth. The spline in this implementation case has a total of 18 teeth, and the contact pressure angle is 30°. The radial stiffness of the spline obtained by solving the above formulas (1) and (2) is 5.3×10 9 N / m.

[0026] Further, in step S3, a simulation model is established according to the maneuverable deformation mechanical model, and a maneuverable deformation simulation analysis is performed through the radial support stiffness of the radial intermediate bearing, the first radial ground bearing support stiffness, the second radial ground bearing support stiffness, the third radial ground bearing support stiffness, the first axial ground bearing support stiffness and the second axial ground bearing support stiffness to obtain the maneuverable deformation of the floating spline under the maneuverable load, including: S31, obtaining a first radial ground bearing support stiffness K1 according to the roller bearing structure, and obtaining a second radial ground bearing support stiffness K2 according to the ball bearing structure R 、Third radial ground bearing support stiffness K4 R , the first axial ground bearing support stiffness K2 x and the second axial ground bearing support stiffness K4 x In specific implementation, the stiffness values ​​of each bearing are shown in Table 1 below: Table 1: Support stiffness of each bearing in the maneuvering deformation mechanics model

[0027] S302: calculate the unit axial overload or unit radial overload, the unit gyroscopic moment, the radial intermediate bearing radial support stiffness K3, the first radial ground bearing support stiffness K1, and the second radial ground bearing support stiffness K2. R , the third radial ground bearing support stiffness K4 R , the first axial ground bearing support stiffness K2 x and the second axial ground bearing support stiffness K4 x The input is input into a simulation model established by a motorized deformation mechanics model to obtain the axial deformation, the first angular deformation, and the first radial deformation, or to obtain the axial deformation, the second angular deformation, and the second radial deformation.

[0028] In specific implementation, the unit axial overload is 1g, the unit gyroscopic moment is a steady-state acceleration of 1rad / s around any axis in the plane perpendicular to the rotor axial direction, and the axial deformation U is obtained by the axial overload. X , the radial deformation U is obtained by unit gyro moment ωR and angular deformation U ωθ The unit radial overload is 1g, and the second radial deformation U is obtained by radial overload. RR and the second angular deformation U Rθ .

[0029] In specific implementation, according to the common ω around any axis in the plane perpendicular to the rotor axis θ The steady-state angular velocity in rad / s (given values) and the maximum axial load factor n Xmax or radial n Rmax The maximum load coefficient is used to calculate the motor deformation. U XZ =ω θ ×U ωθ +ω θ ×U ωR +U X ×n Xmax or U XZ =ω θ ×U ωθ +ω θ ×U ωR +U RR ×n Rmax + U Rθ ×n Rmax , after analysis, we know that the value U XZ It is composed of angular displacement and radial or axial translation displacement.

[0030] The calculation results of the floating spline unit maneuvering deformation calculated according to the support stiffness in Table 1 above are shown in Table 2 below: Table 2: Calculation results of unit maneuvering deformation of floating spline

[0031] S303, solving the first motorized deformation under the spline limit load by the first motorized deformation as the motorized deformation U JX .

[0032] In specific implementation, according to the maximum ω around any axis in the plane perpendicular to the rotor axis max rad / s steady-state angular velocity and 1g radial load, the maneuvering deformation calculation is performed, and this value is U JX =ω max ×U ωθ +ω max ×U ωR +U RR ×1+U Rθ × 1 , it can be seen that this value is composed of angular displacement and radial translation displacement.

[0033] Furthermore, when the above step S4 is implemented, a contact stress calculation model is established according to the length of the spline input shaft and the output shaft and the meshing contact length of the spline tooth surface. When establishing the contact stress calculation model, the maximum steady-state working torque load can be applied to the input end, and the output end can be fixedly constrained. At the same time, according to the Saint-Venant principle, in order to reduce the influence of load and boundary on the simulation analysis results of the contact pair, the length of the spline input shaft and the output shaft is 3 times the meshing contact length of the spline tooth surface. By establishing standard friction contact on the meshing tooth surfaces of the internal and external splines, the external splines and the internal splines are contact surfaces and target surfaces to each other. During the assembly process of the internal and external splines, the mechanical deformation geometric state of the splines is artificially set, and the contact state is adjusted during the calculation to ensure that no serious interference occurs.

[0034] When calculating the contact stress of the floating spline, first, a finite element simulation model of the contact stress calculation model can be established to analyze the contact stress under the mobile deformation calculation. The mobile deformation U XZ and mobile deformation U JX , output spline contact stress; secondly, according to the mechanical deformation U XZ Under the condition of analysis, the contact stresses under the limit load are σ X and σ R σ X The maximum axial overload corresponds to (through U XZ =ω θ ×U ωθ +ω θ ×U ωR + U X ×nXmax Calculation), σ R The maximum radial overload corresponds to (through U XZ =ω θ ×U ωθ +ω θ ×U ωR +U RR ×n Rmax +U Rθ ×n Rmax Calculate); Finally, solve the spline limit load dynamic deformation U JX The contact stress under the action is calculated according to the dynamic deformation U JX Under the condition of analysis, the contact stresses under the limit load are σ max .

[0035] Among them, the selection of the limiting load and the ultimate load calculated according to Table 2 above and the deformation superposition results are shown in Table 3 below: Table 3: Limit load and ultimate load selection and deformation superposition results

[0036] The contact stress results of the limiting load and ultimate load calculated in Table 3 above are shown in Table 4 below: Table 4 Contact stress results of limit load and ultimate load

[0037] In an improved embodiment of the above-mentioned aviation floating spline contact stress calculation method, the method further includes: S5. Evaluate the fatigue reserve of the floating spline according to the floating spline contact stress.

[0038] Furthermore, in the above step S5, the floating spline fatigue reserve is evaluated according to the floating spline contact stress, including: The floating spline fatigue reserve is evaluated based on the contact fatigue limit and the floating spline contact stress, or the floating spline fatigue reserve is evaluated based on the floating spline contact stress and the target life. In specific implementation, the load on each tooth in the circumferential direction of the spline changes after the motorized deformation, and each rotation undergoes a load cycle, and it is necessary to evaluate according to contact fatigue. At the same time, with the help of the spline contact stress-fatigue life curve measured by the experiment, refer to Figure 5 As shown, Figure 5 The contact fatigue limit is σ Hlim , usually 107 The contact fatigue strength corresponding to the number of cycles is σ, and the fatigue strength of a certain target life N is HN .

[0039] On the one hand, according to the contact stress and contact fatigue limit under the limit load, the contact stress of the spline under the limit load dynamic deformation can be evaluated according to the infinite life. At this time, the maximum contact stress σ of the spline X and σ R Should not be greater than the contact fatigue limit σ Hlim , that is, the contact fatigue reserve factor under the limiting load k XZ The following equations (3) and (4) are satisfied: Formula (3); Formula (4); If the contact fatigue reserve coefficient is less than 1, it means that the floating spline fatigue reserve is insufficient and the floating spline should be replaced or modified.

[0040] On the other hand, according to the contact stress under the limit load and the contact fatigue strength of a certain target life N, the contact stress under the limit load dynamic deformation of the spline can be evaluated according to the limited target life N. Under the limit load, the spline is required to have a maximum speed at steady state. n max Under the condition of short-term working ability, the time is determined to be t seconds, and the target life N is calculated by the following formula (5): Formula (5); See also Figure 5 As shown, according to formula (5), the fatigue strength for determining the target life N is σ HN , at this time the maximum spline contact stress σ under the limit load max Not greater than contact fatigue limit σ HN , that is, the contact fatigue reserve factor under the limit load k JX Satisfies the following formula (6): Formula (6); The method of the present invention can quickly establish a mechanical model of the dynamic deformation of aviation floating splines and a contact stress calculation model, forming a contact stress design method for aviation floating splines that takes dynamic deformation into consideration, which is mainly used in the simulation analysis of the contact stress of aircraft engine transmission splines, and can solve the contact fatigue problem of splines working for a long time in the maneuvering state of the aircraft during flight. The splines designed by the present invention have a service life of about 25% to 30% longer before excessive contact fatigue wear occurs in long-term service than the traditional design method, which increases the maintenance and replacement cycle of the splines and saves maintenance costs and economic costs.

[0041] Based on the same inventive concept, an aviation floating spline contact stress calculation system is also provided in an embodiment of the present invention, as described in the following embodiments. Since the principle of solving the problem by the aviation floating spline contact stress calculation system is similar to the aviation floating spline contact stress calculation method described in the above embodiments, the implementation of the aviation floating spline contact stress calculation system can refer to the implementation of the above aviation floating spline contact stress calculation method, and the repeated parts will not be repeated. As used below, the term "unit" or "module" can be a combination of software and / or hardware that implements predetermined functions. Although the device described in the following embodiments is preferably implemented in software, the implementation of hardware, or a combination of software and hardware, is also possible and conceived.

[0042] Figure 6 is a structural block diagram of an aviation floating spline contact stress calculation system disclosed in an embodiment of the present invention, such as Figure 6 As shown, the aviation floating spline contact stress calculation system includes a maneuvering deformation mechanical model construction module 601, a support stiffness calculation module 602, a floating spline maneuvering deformation calculation module 603 and a contact stress calculation module 604, and the structure is described below.

[0043] The motorized deformation mechanics model building module 601 is used to establish a motorized deformation mechanics model using a simplified floating spline connection structure, and the motorized deformation mechanics model includes an inner spline shaft, an outer spline shaft, a first radial grounding bearing, a second radial grounding bearing, a third radial grounding bearing, a first axial grounding bearing, a second axial grounding bearing and a radial intermediate bearing; The support stiffness calculation module 602 is used to obtain the radial support stiffness of the radial intermediate bearing according to the spline normal stiffness and the spline structure; The floating spline motorized deformation calculation module 603 is used to establish a simulation model according to the motorized deformation mechanical model, and perform motorized deformation simulation analysis through the radial support stiffness of the radial intermediate bearing, the first radial ground bearing support stiffness, the second radial ground bearing support stiffness, the third radial ground bearing support stiffness, the first axial ground bearing support stiffness and the second axial ground bearing support stiffness, so as to obtain the motorized deformation of the floating spline under the motorized load; The contact stress calculation module 604 is used to establish a contact stress simulation model using the floating spline connection structure according to the spline input shaft length, the output shaft length and the spline tooth surface meshing contact length, input the mechanical deformation into the contact stress simulation model to perform contact stress analysis, and obtain the floating spline contact stress.

[0044] Further, see Figure 6As shown, the system further includes an evaluation module 605, and the evaluation module 605 is used to evaluate the fatigue reserve of the floating spline according to the floating spline contact stress.

[0045] In this embodiment, a computer device is provided, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the computer program, any of the above-mentioned aviation floating spline contact stress calculation methods is implemented.

[0046] Specifically, the computer device may be a computer terminal, a server or a similar computing device.

[0047] In this embodiment, a computer-readable storage medium is provided, wherein the computer-readable storage medium stores a computer program for executing any of the above-mentioned methods for calculating contact stress of aviation floating splines.

[0048] Specifically, computer-readable storage media include permanent and non-permanent, removable and non-removable media that can be used to store information by any method or technology. Information can be computer-readable instructions, data structures, program modules or other data. Examples of computer-readable storage media include, but are not limited to, phase change memory (PRAM), static random access memory (SRAM), dynamic random access memory (DRAM), other types of random access memory (RAM), read-only memory (ROM), electrically erasable programmable read-only memory (EEPROM), flash memory or other memory technology, compact disk read-only memory (CD-ROM), digital versatile disk (DVD) or other optical storage, magnetic cassettes, tape disk storage or other magnetic storage devices or any other non-transmission media that can be used to store information that can be accessed by a computing device. As defined herein, computer-readable storage media does not include temporary computer-readable media (transitory media), such as modulated data signals and carrier waves.

[0049] Obviously, those skilled in the art should understand that the modules or steps of the above-mentioned embodiments of the present invention can be implemented by a general computing device, they can be concentrated on a single computing device, or distributed on a network composed of multiple computing devices, and optionally, they can be implemented by a program code executable by a computing device, so that they can be stored in a storage device and executed by the computing device, and in some cases, the steps shown or described can be executed in a different order from that here, or they can be made into individual integrated circuit modules, or multiple modules or steps therein can be made into a single integrated circuit module for implementation. In this way, the embodiments of the present invention are not limited to any specific combination of hardware and software.

[0050] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. For those skilled in the art, the embodiments of the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.

Claims

1. A method for calculating contact stress of aviation floating spline, characterized in that: include: A simplified floating spline connection structure is used to establish a dynamic deformation mechanical model, wherein the dynamic deformation mechanical model includes an inner spline shaft, an outer spline shaft, a first radial grounding bearing, a second radial grounding bearing, a third radial grounding bearing, a first axial grounding bearing, a second axial grounding bearing and a radial intermediate bearing; The radial support stiffness of the radial intermediate bearing is obtained based on the spline normal stiffness and the spline structure; A simulation model is established according to the maneuverable deformation mechanics model, and a maneuverable deformation simulation analysis is performed through the radial support stiffness of the radial intermediate bearing, the first radial ground bearing support stiffness, the second radial ground bearing support stiffness, the third radial ground bearing support stiffness, the first axial ground bearing support stiffness, and the second axial ground bearing support stiffness to obtain the maneuverable deformation of the floating spline under the maneuverable load; According to the spline input shaft length, output shaft length and spline tooth surface meshing contact length, a contact stress simulation model is established using the floating spline connection structure, the mechanical deformation is input into the contact stress simulation model for contact stress analysis, and the floating spline contact stress is obtained.

2. The method for calculating contact stress of aviation floating spline according to claim 1, characterized in that: A simplified floating spline connection structure is used to establish a dynamic deformation mechanics model, including: Conduct structural analysis on the floating spline, extract the inner spline shaft and the outer spline shaft from the structural analysis results to establish a simplified floating spline connection structure; A first radial grounding bearing is arranged at a position on the inner spline shaft that contacts the roller bearing, a second radial grounding bearing and a first axial grounding bearing are arranged at a position on the inner spline shaft that contacts the ball bearing, a radial intermediate bearing is arranged at a position on the inner spline shaft that contacts the outer spline shaft, and a third radial grounding bearing and a second axial grounding bearing are arranged at a position on the outer spline shaft that cooperates with other splines, thereby obtaining a motorized deformation mechanics model.

3. The method for calculating contact stress of aviation floating spline according to claim 1, characterized in that: The radial support stiffness of the radial intermediate bearing is obtained based on the spline normal stiffness and spline structure, including: According to the rotation angle and contact pressure angle of each tooth matched between the internal spline and the external spline in polar coordinates, the angle between the normal direction and the vertical direction of the tooth contact surface of each tooth is calculated by the rotation angle and the contact pressure angle; The displacement of a single tooth model caused by applying a unit load in the normal direction is obtained by a simulation method, and the normal stiffness of the spline is obtained by taking the inverse of the displacement; Calculate the radial support stiffness of each tooth through the included angle and the spline normal stiffness; The radial support stiffness of the radial intermediate bearing is obtained by summing the radial support stiffness of all teeth matched between the internal spline and the external spline.

4. The method for calculating contact stress of aviation floating spline according to claim 1, characterized in that: A simulation model is established according to the maneuverable deformation mechanical model, and a maneuverable deformation simulation analysis is performed through the radial support stiffness of the radial intermediate bearing, the first radial ground bearing support stiffness, the second radial ground bearing support stiffness, the third radial ground bearing support stiffness, the first axial ground bearing support stiffness, and the second axial ground bearing support stiffness to obtain the maneuverable deformation of the floating spline under the maneuverable load, including: Obtain a first radial grounded bearing support stiffness according to the roller bearing structure, and obtain a second radial grounded bearing support stiffness, a third radial grounded bearing support stiffness, a first axial grounded bearing support stiffness, and a second axial grounded bearing support stiffness according to the ball bearing structure; Inputting the unit axial overload or unit radial overload, the unit gyroscopic moment, the radial support stiffness of the radial intermediate bearing, the first radial grounded bearing support stiffness, the second radial grounded bearing support stiffness, the third radial grounded bearing support stiffness, the first axial grounded bearing support stiffness and the second axial grounded bearing support stiffness into a simulation model established by a maneuverable deformation mechanics model to obtain the axial deformation and the first angular deformation and the first radial deformation, or to obtain the axial deformation and the second angular deformation and the second radial deformation; A first motorized deformation is obtained through the axial deformation, the first angular deformation and the first radial deformation, and a second motorized deformation is obtained through the axial deformation, the second angular deformation and the second radial deformation. The first motorized deformation and the second motorized deformation are used as motorized deformation.

5. The method for calculating contact stress of aviation floating spline according to claim 1, characterized in that: Also includes: The floating spline fatigue reserve is evaluated according to the floating spline contact stress.

6. The method for calculating contact stress of aviation floating splines according to claim 5, characterized in that: The floating spline fatigue reserve is evaluated based on the floating spline contact stress, including: The floating spline fatigue reserve is evaluated according to the contact fatigue limit and the floating spline contact stress, or the floating spline fatigue reserve is evaluated according to the floating spline contact stress and the target life.

7. An aviation floating spline contact stress calculation system, characterized in that: include: A motorized deformation mechanics model building module, wherein the motorized deformation mechanics model building module is used to establish a motorized deformation mechanics model using a simplified floating spline connection structure, wherein the motorized deformation mechanics model includes an inner spline shaft, an outer spline shaft, a first radial grounding bearing, a second radial grounding bearing, a third radial grounding bearing, a first axial grounding bearing, a second axial grounding bearing, and a radial intermediate bearing; A support stiffness calculation module, wherein the support stiffness calculation module is used to obtain the radial support stiffness of the radial intermediate bearing according to the spline normal stiffness and the spline structure; A floating spline motorized deformation calculation module, the floating spline motorized deformation calculation module is used to establish a simulation model according to the motorized deformation mechanical model, and perform motorized deformation simulation analysis through the radial support stiffness of the radial intermediate bearing, the first radial grounded bearing support stiffness, the second radial grounded bearing support stiffness, the third radial grounded bearing support stiffness, the first axial grounded bearing support stiffness and the second axial grounded bearing support stiffness, so as to obtain the motorized deformation of the floating spline under the motorized load; A contact stress calculation module is used to establish a contact stress simulation model based on the spline input shaft length, output shaft length and spline tooth surface meshing contact length, adopt the floating spline connection structure, input the mechanical deformation into the contact stress simulation model to perform contact stress analysis, and obtain the floating spline contact stress.

8. The aviation floating spline contact stress calculation system according to claim 7, characterized in that: The method further comprises an evaluation module, wherein the evaluation module is used for evaluating the fatigue reserve of the floating spline according to the floating spline contact stress.

9. A computer 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 computer program, the aviation floating spline contact stress calculation method according to any one of claims 1 to 6 is implemented.

10. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores a computer program for executing the aviation floating spline contact stress calculation method according to any one of claims 1 to 6.

Images