A transverse static stiffness measuring device and method for a circular-arc end tooth connecting structure

Abstract

The present application belongs to the technical field of aero-engine structural mechanics measurement, in order to solve the problems of complex test measurement device, local loading introducing local deformation and unable to measure local stiffness alone in the evaluation of the lateral stiffness of the end tooth connection structure, the present application provides a kind of lateral static stiffness measuring device and method of arc end tooth connection structure, the measuring device includes supporting seat, arc end tooth connection structure, lateral force loading mechanism and displacement measuring mechanism, the arc end tooth connection structure is vertically installed on the supporting seat, the lateral force loading mechanism is installed on the supporting seat and located below the arc end tooth connection structure, the vertical center line of the lateral force loading mechanism is perpendicular to the center line of the arc end tooth connection structure, the displacement measuring mechanism is arranged on the top of the arc end tooth connection structure, for measuring the displacement before and after the loading of the arc end tooth connection structure. The present application has the advantages of simple structure, low construction cost, uniform loading and local stiffness measurement of end tooth connection structure.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of aero-engine structural mechanics measurement, and particularly relates to a transverse static stiffness measuring device and method for a circular-arc end tooth connecting structure. BACKGROUND

[0002] The circular-arc end tooth connecting structure is a non-continuous connecting method for a rotor system of an aero-engine, and has the characteristics of high load transmission capacity, high-precision positioning and convenient maintenance.

[0003] The short bolt connecting circular-arc end tooth connecting structure has the advantages of automatic centering, convenient disassembly and connection stability, is a core component of a medium and large aero-engine, and is often used in rotor connecting structures, such as the connection between a compressor shaft and a turbine shaft. The short bolt connecting circular-arc end tooth connecting structure can realize torque transmission and transverse load transmission, and can also provide bending and shear deformation resistance, thereby realizing stable connection of two rotors.

[0004] The rotor of the short bolt connecting circular-arc end tooth connecting structure is a non-continuous rotor. As a connecting component, the stiffness of the end tooth connecting structure affects the dynamic characteristics of the overall rotor. In particular, the aero-engine rotor is often operated above the bending critical speed, and the transverse stiffness of the end tooth connecting structure is required to be large enough to enhance the ability of the rotor to resist bending deformation and prevent connection failure. As shown in the Journal of Vibration Engineering, Vol. 6, No. 1, 1993, calculated by Yin Zeyong et al., the end tooth connecting structure significantly weakens the local stiffness of the rotor, and the local transverse stiffness of the rotor decreases by about 70%; as shown in Gas Turbine Technology, Vol. 35, No. 3, 2022, simulation by Qiu Kexin et al. shows that the end tooth stiffness has a significant impact on the first-order critical speed of the rotor.

[0005] Therefore, when designing the end tooth connecting structure, it is necessary to accurately evaluate the connecting stiffness. At present, the stiffness of the end tooth connecting structure is mainly evaluated by numerical simulation method. For example, Li Pu et al. in Thermal Turbine, Vol. 41, No. 1, 2012, and Yang Zhenglie et al. in Mechanical Strength, Vol. 42, No. 6, 2020, all use the finite element software ANSYS for evaluation. However, the connecting stiffness of the short bolt connecting circular-arc end tooth connecting structure is affected by various factors, including tooth number, tooth height, tooth width, pressure angle, radius, tooth bottom chamfer and other end tooth geometric parameters, as well as the number, diameter and pre-tightening force of the connecting bolts. The numerical simulation method for calculating the stiffness of the end tooth connecting structure is also affected by human factors such as contact surface setting, load application method and boundary conditions, and has high calculation uncertainty.

[0006] On the other hand, there is currently a lack of experimental measuring devices for the lateral stiffness of short bolt connected circular arc end tooth connection structures. For example, the Chinese invention patent with patent number CN118424617A discloses a circular arc end tooth connecting rod rotor bending stiffness simulation test device considering the influence of multiple loads, which can be used to measure the bending stiffness of a central connecting rod rotor with multiple end tooth connection structures. However, the device is complex and has high construction cost, and cannot measure the local stiffness of the end tooth connection structure alone. For another example, the Chinese invention patent with patent number CN116481748A discloses a multi-axle loading test device for a gas generator rotor end tooth connection structure, which can measure the rotor stiffness characteristics under the influence of multiple loads. However, one is that the lateral loading is a local loading in the circumferential direction of the rotor, which can easily cause local deformation of the drum rotor and affect the accuracy of the stiffness measurement. Two is that it still cannot measure the local stiffness of the circular arc end tooth connection structure.

[0007] In order to solve the problems of large simulation uncertainty, complex experimental measuring device, local loading introducing local deformation, and inability to measure the local stiffness of the circular arc end tooth connection structure alone in the evaluation of the lateral stiffness of the short bolt connected circular arc end tooth connection structure of the aero-engine, a lateral stiffness measuring device and method for the short bolt connected circular arc end tooth connection structure are proposed, which is particularly important for ensuring the stability and safety of the core components of the aero-engine. SUMMARY

[0008] In view of the defects in the prior art, the present application aims to provide a lateral static stiffness measuring device and method for a circular arc end tooth connection structure, which is used to measure the lateral static stiffness of a short bolt connected circular arc end tooth connection structure and has the advantages of simple structure, low construction cost, uniform loading, and the ability to measure the local stiffness of the circular arc end tooth connection structure.

[0009] To achieve the above purpose, the technical solution adopted by the present application is as follows:

[0010] On the one hand, the present application discloses a lateral static stiffness measuring device for a circular arc end tooth connection structure, comprising:

[0011] a support seat,

[0012] a circular arc end tooth connection structure vertically installed on the support seat;

[0013] a lateral force loading mechanism installed on the support seat and located below the circular arc end tooth connection structure, and the vertical center line of the lateral force loading mechanism is perpendicular to the center line of the circular arc end tooth connection structure;

[0014] a displacement measuring mechanism arranged at the top of the circular arc end tooth connection structure for measuring the displacement before and after the loading of the circular arc end tooth connection structure.

[0015] As a further preferred embodiment of the above technical solution, the circular-arc end tooth connecting structure comprises a convex tooth shaft and a concave tooth shaft connected by a short bolt, wherein:

[0016] One end of the convex tooth shaft is provided with an annular outer flange connected with the support seat, and the other end of the convex tooth shaft is provided with a first inner flange having an end tooth convex tooth machined thereon;

[0017] The concave tooth shaft is provided with a second inner flange having an end tooth concave tooth machined thereon at one end close to the convex tooth shaft, and the end tooth concave tooth is engaged with the end tooth convex tooth.

[0018] As a further preferred embodiment of the above technical solution, the transverse force loading mechanism comprises:

[0019] The force ring is connected with the outer flange on the concave tooth shaft;

[0020] The planar force measuring flange is arranged below the force ring, and the planar force measuring flange and the force ring are connected through the adapter flange;

[0021] The force loading assembly is installed on the support seat and located below the planar force measuring flange, and a force sensor is further arranged between the force loading assembly and the planar force measuring flange.

[0022] As a further preferred embodiment, the bottom of the force ring is integrally provided with a long handle, the end of the long handle is machined with a first thread, and the upper end surface of the adapter flange is provided with a first center threaded hole, the long handle is installed on the adapter flange by matching the first thread with the first center threaded hole.

[0023] As a further preferred embodiment, the bottom of the planar force measuring flange is provided with a boss, the lower end of the boss is machined with a second outer thread, and the upper end surface of the force sensor is provided with a second center threaded hole, the planar force measuring flange is installed on the force sensor by matching the second outer thread with the second center threaded hole.

[0024] Based on the above technical solution, further, the force loading assembly comprises:

[0025] The loading flange is connected with the force sensor at the upper end surface thereof, and a circular recess is arranged at the center of the bottom of the loading flange;

[0026] The loader is located at the bottom of the loading flange, and the loading rod is arranged at the top of the loader and extends into the circular recess, so that the loader is connected with the loading flange.

[0027] As a further preferred embodiment, the upper end of the support seat is provided with an annular hollow hole, and a first annular mounting groove and a second annular mounting groove are machined at the two ends along the annular hollow hole, wherein:

[0028] The inner diameter of the second annular mounting groove is not less than the outer diameter of the annular outer flange, the outer cylindrical surface part of the annular outer flange is transitioned or gap mounted in the second annular mounting groove, the end surface of the annular outer flange away from the convex tooth shaft is in contact with the end surface of the second annular mounting groove, the axial position of the convex tooth shaft is limited, the outer cylindrical surface of the convex tooth shaft away from the concave tooth shaft end is interference mounted in the annular hollow hole, the radial position and the circumferential position of the convex tooth shaft are limited.

[0029] As a further preferred embodiment, the displacement measuring mechanism comprises:

[0030] The first displacement sensor is arranged at the top of the convex tooth shaft near the end of the concave tooth shaft, and is used for measuring the displacement of the outer cylindrical surface of the convex tooth shaft near the end of the concave tooth shaft before and after the load.

[0031] The second displacement sensor is arranged at the top of the concave tooth shaft near the end of the convex tooth shaft, and is used for measuring the displacement of the outer cylindrical surface of the concave tooth shaft near the end of the convex tooth shaft before and after the load.

[0032] In another aspect, the application also discloses a transverse static stiffness measuring method of the circular arc end tooth connecting structure, which is realized based on a transverse static stiffness measuring device of the circular arc end tooth connecting structure and comprises the following steps:

[0033] S1: the short bolts connected to the convex tooth shaft and the concave tooth shaft are tightened according to the set bolt tightening torque;

[0034] S2: the loader does not apply load, that is, F=0 is kept, the initial displacement x01 of the outer cylindrical surface of the convex tooth shaft near the end of the concave tooth shaft is measured by the first displacement sensor, and the initial displacement x02 of the outer cylindrical surface of the concave tooth shaft near the end of the convex tooth shaft is measured by the second displacement sensor;

[0035] S3: the transverse force load F is applied by the loader, the initial displacement x11 of the outer cylindrical surface of the convex tooth shaft near the end of the concave tooth shaft is measured again by the first displacement sensor, and the initial displacement x12 of the outer cylindrical surface of the concave tooth shaft near the end of the convex tooth shaft is measured again by the second displacement sensor;

[0036] S4: the transverse static stiffness k of the circular arc end tooth connecting structure is calculated:

[0037] .

[0038] Compared with the prior art, the application can produce the following beneficial effects:

[0039] 1. This invention adopts a modular design, connecting the arc-shaped end tooth connection structure to the support seat using short bolts. At the same time, the convex tooth shaft of the arc-shaped end tooth connection structure is matched with the annular hollow hole on the support seat, simultaneously realizing the axial, radial, and axial limiting of the convex tooth shaft. The arc-shaped end tooth connection structure is loaded and the displacement is measured by the transverse force loading mechanism and the displacement measuring mechanism. There is no complicated control system or actuator, the structure is simple, and the construction cost is low.

[0040] 2. The present invention uses a force-applying ring to apply a full-circumference load to one end of the arc-shaped end tooth connection structure. The lateral force is applied evenly, which can avoid local deformation of the end tooth shaft wall caused by local loading, effectively reduce local deformation interference, and reduce measurement error.

[0041] 3. The drum sections of the convex and concave tooth shafts of the present invention are very short, and their drum lengths are no more than 5 times the tooth height of the convex or concave end teeth. They are only used to fix the convex and concave end teeth and apply loads, and have little impact on the stiffness of the end tooth shaft itself. In addition, the measuring device of the present invention measures the displacement difference at the convex and concave end teeth, so it can realize the local stiffness measurement of the arc end tooth connection structure.

[0042] 4. When calculating the stiffness of the arc-shaped end tooth connection structure, this invention removes the initial deformation of the end tooth shaft caused by the preload of the short bolts, thereby improving the measurement accuracy of the lateral stiffness of the arc-shaped end tooth connection structure. Attached Figure Description

[0043] To more clearly illustrate the technical solutions in the embodiments of the present invention, the accompanying drawings required in the embodiments will be briefly introduced below.

[0044] Figure 1 This is a schematic diagram of the overall three-dimensional structure of the transverse static stiffness measuring device with a circular arc end tooth connection structure according to the present invention.

[0045] Figure 2 This is a left view of the overall structure of the present invention;

[0046] Figure 3 This is a right view of the overall structure of the present invention;

[0047] Figure 4 This is a front view of the overall structure of the present invention;

[0048] Figure 5 This is a front view of the support base and the arc-shaped end tooth connection structure of the present invention;

[0049] Figure 6 For the present invention Figure 5 A cross-sectional view along the AA direction;

[0050] Figure 7Front view of transverse force loading mechanism of the present application;

[0051] Figure 8 Front view of transverse force loading mechanism of the present application; Figure 7 Sectional view along B-B direction of the present application;

[0052] Figure 9 Sectional view along C-C direction of the present application;

[0053] Figure 10 Sectional view along C-C direction of the present application;

[0054] Figure 11 Front view of transverse force loading mechanism of the present application; Figure 10 Sectional view along B-B direction of the present application;

[0055] Figure 12 Sectional view along C-C direction of the present application;

[0056] Figure 13 Sectional view along C-C direction of the present application;

[0057] Figure 14 Sectional view along C-C direction of the present application;

[0058] In the figure:

[0059] 1, support seat; 11, annular hollow hole; 12, reinforcing rib; 13, top wire through hole;

[0060] 2, circular arc end tooth connecting structure; 21, convex tooth shaft; 211, annular outer flange; 212, first inner flange; 213, interference mounting surface; 22, concave tooth shaft; 221, second inner flange;

[0061] 3, transverse force loading mechanism; 31, force applying ring; 311, long handle; 32, planar force measuring flange; 33, adapter flange; 34, force sensor; 35, loading flange; 36, loader;

[0062] 4, displacement measuring mechanism; 41, first displacement sensor; 42, second displacement sensor. DETAILED DESCRIPTION

[0063] The following will be described in detail with reference to the accompanying drawings. Figure 1 to the accompanying drawings. Figure 8The specific embodiments of the present invention will be described in detail below. In the description of the present invention, it should be understood that the terms "center," "upper," "lower," "front," "rear," "left," "right," "vertical," "horizontal," "top," "bottom," "inner," and "outer," etc., indicating orientations or positional relationships, are based on the orientations or positional relationships shown in the accompanying drawings and are only for the convenience of describing the present invention and simplifying the description, and are not intended to indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation, and therefore should not be construed as a limitation of the present invention.

[0064] The terms "first" and "second" are used for descriptive purposes only and should not be construed as indicating or implying relative importance or implicitly specifying the number of technical features indicated. Thus, a feature defined as "first" or "second" may explicitly or implicitly include one or more of that feature; in the description of this invention, unless otherwise stated, "a plurality of" means two or more.

[0065] Example 1: Refer to Figures 1-14 This invention provides a transverse static stiffness measuring device for an arc-shaped end tooth connection structure, comprising a support base 1, an arc-shaped end tooth connection structure 2, a transverse force loading mechanism 3, and a displacement measuring mechanism 4. The arc-shaped end tooth connection structure 2 is vertically mounted on the support base 1, with its centerline along the horizontal direction. The transverse force loading mechanism 3 is mounted on the support base 1 and located below the arc-shaped end tooth connection structure 2, with its vertical centerline perpendicular to the centerline of the arc-shaped end tooth connection structure 2. The transverse force loading direction is the same as that of the vertical centerline of the transverse force loading mechanism 3. The displacement measuring mechanism 4 is located at the top of the arc-shaped end tooth connection structure 2 and is used to measure the displacement of the arc-shaped end tooth connection structure 2 before and after the loading force. The displacement direction of the arc-shaped end tooth connection structure 2 measured by the displacement measuring mechanism 4 is the same as that of the transverse force loading direction.

[0066] like Figure 1 , Figure 3 As shown, the arc-shaped end tooth connection structure 2 includes a convex tooth shaft 21 and a concave tooth shaft 22, one end of the convex tooth shaft 21 (i.e. Figure 1 The left end of the toothed shaft 21 is machined with an annular outer flange 211. The toothed shaft 21 is mounted on the support seat 1 through the annular outer flange 211. The other end of the toothed shaft 21 (i.e., Figure 1 The right end of the first inner flange 212 is provided with a ring of end teeth protruding. The concave tooth shaft 22 is located at one end of the convex tooth shaft 21 (i.e., Figure 1 The left end of the middle is provided with a second inner flange 221. The second inner flange 221 is machined with end teeth concave teeth, and the end teeth concave teeth mesh with the end teeth convex teeth. The convex tooth shaft 21 and the concave tooth shaft 22 are connected by a full circle of short bolts.

[0067] Further, the bottom of the support seat 1 is a mounting plane for fixing the support seat 1 and playing a stabilizing role, referring to Figure 2 , the lower ends of the two sides of the support seat 1 are welded with a plurality of reinforcing ribs 12 for enhancing the rigidity of the support seat 1; the upper end of the support seat 1 is provided with an annular hollow hole 11, and the two ends (i.e. the left-right direction in Figure 1 ) of the annular hollow hole 11 are respectively provided with a first annular mounting groove and a second annular mounting groove, the inner diameter of the second annular mounting groove is not less than the outer diameter of the annular outer flange 211 (in this embodiment, the inner diameter of the second annular mounting groove is equal to the outer diameter of the annular outer flange 211), the outer cylindrical surface part of the annular outer flange 211 is transitionally or gapingly mounted in the second annular mounting groove, the left end surface of the annular outer flange 211 is in contact with the end surface of the second annular mounting groove, realizing the axial limiting of the cogged shaft 21, the outer cylindrical surface of the left end of the cogged shaft 21 is interference-mounted in the annular hollow hole 11, realizing the radial and circumferential limiting of the cogged shaft 21. A circle of through holes one is respectively processed in the end surfaces of the first annular mounting groove and the second annular mounting groove, the center of the circle of through holes one is the same as the center of the annular hollow hole 11, and the cogged shaft 21 is fixedly connected with the support seat 1 by penetrating the through holes one of the first annular mounting groove, the through holes two on the annular outer flange 211 of the cogged shaft 21, and the through holes one on the second annular mounting groove with bolts; the end surfaces of the first annular mounting groove and the second annular mounting groove are also provided with a plurality of threaded top pin through holes 13 for disassembling the cogged shaft 21; in this embodiment, the top pin through holes 13 are uniformly arranged in four (as shown in Figure 2 ).

[0068] More specifically, as shown in Figures 4-6 , Figures 9-11 , the cogged shaft 21 is a stepped drum structure, the left end of the cogged shaft 21 is an outer cylindrical surface and an annular outer flange 211, and the right end of the cogged shaft 21 is an inner mounting edge, which is provided with a circle of end tooth cog teeth; referring to Figure 9 and Figure 14 , the outer cylindrical surface of the cogged shaft 21 is sequentially an interference mounting surface 213, an annular outer flange outer ring surface, and a general outer cylindrical surface from left to right, the interference mounting surface 213 of the cogged shaft 21 is interference-mounted in the annular hollow hole 11 of the support seat 1, the annular outer flange outer ring surface is transitionally or gapingly mounted in the second annular mounting groove of the support seat 1, and the inner cylindrical surface of the cogged shaft 21 is sequentially a general inner cylindrical surface and an inner mounting edge inner cylindrical surface from left to right, the difference between the radius of the general inner cylindrical surface and the radius of the inner mounting edge inner cylindrical surface is greater than the tooth width of the end tooth cog teeth.

[0069] Preferably, the recessed shaft 22 is a drum structure with flanges at both ends, referring to Figure 12 and Figure 14The left end of the concave toothed shaft 22 is the second inner flange 221, the inner diameter of which is smaller than the outer diameter of the concave toothed shaft 22. The right end of the concave toothed shaft 22 is the outer flange, the outer diameter of which is larger than the outer diameter of the concave toothed shaft 22. A ring of end teeth is machined on the second inner flange 221. The end teeth mesh with the end teeth, thereby achieving circumferential, circumferential and radial limiting of the convex toothed shaft 21 and the concave toothed shaft 22.

[0070] In this embodiment, a ring of through holes three is machined through the inner mounting edge at the right end of the convex gear shaft 21, and a ring of through holes four is machined through the second inner flange 221 at the left end of the concave gear shaft 22. Multiple short bolts are used to pass through each through hole three and its corresponding through hole four, thereby fixing the convex gear shaft 21 and the concave gear shaft 22 together. In this embodiment, the number of through holes three and four (i.e., the number of short bolts) is 24 each. A ring of through holes five is machined through the outer flange at the right end of the concave gear shaft 22, through which the concave gear shaft 22 is connected to the transverse force loading mechanism 3.

[0071] like Figures 7-8 , Figures 13-14 As shown, the transverse force loading mechanism 3 includes a force-applying ring 31, a planar force-measuring flange 32, a transition flange 33, a force sensor 34, and a force loading assembly. The end of the force-applying ring 31 near the concave gear shaft 22 is connected to the outer flange on the concave gear shaft 22. The planar force-measuring flange 32 is located below the force-applying ring 31, and the planar force-measuring flange 32 and the force-applying ring 31 are connected through the transition flange 33. The force loading assembly is installed on the support 1 and located below the planar force-measuring flange 32, and a force sensor 34 is also provided between the force loading assembly and the planar force-measuring flange 32.

[0072] Specifically, such as Figures 13-14 As shown, the bottom of the force-applying ring 31 is integrally formed with a long handle 311. The left end face of the force-applying ring 31 contacts the outer flange face of the right end of the concave gear shaft 22. A ring of through holes six is ​​machined through the force-applying ring 31. The force-applying ring 31 and the concave gear shaft 22 are fixedly connected by bolts passing through through holes five and six. In this embodiment, the number of through holes five and six is ​​also 24. The end of the long handle 311 is machined with a first thread. The upper end face of the adapter flange 33 is provided with a first central threaded hole. The long handle 311 is installed on the adapter flange 33 by the first thread and the first central threaded hole. In this embodiment, the first thread is an M30 coarse external thread.

[0073] In this embodiment, the adapter flange 33 is a disc structure with a boss, and the boss on its upper end face is a hollow cylinder, as shown in the reference. Figure 8 The hollow cylinder has threads inside for installing the long handle 311. A through hole 7 is machined at the same pitch circle radius between the boss and the outer ring surface of the adapter flange 33 for bolting the flat force measuring flange 32.

[0074] like Figure 8As shown, the flat force flange 32 is a two-step disc structure as a whole, and the upper end surface thereof is a flat structure in contact with the lower end surface of the adapter flange 33. The flat force flange 32 comprises, from top to bottom, a flange plate, a first boss, and a second boss, and the outer diameters of the three are successively reduced. A circle of through holes eight is processed on the end surface between the outer ring surface of the flange plate and the first boss, and the through holes eight are used for the bolts to pass through the through holes seven and the through holes eight to connect the adapter flange 33 and the flat force flange 32. In the embodiment, the number of the through holes seven and the through holes eight is four.

[0075] In the embodiment, the force sensor 34 adopts the existing technology, such as a spoke force sensor 34, for measuring the lateral force F applied by the force loading assembly. The middle part of the force sensor 34 is provided with a second center threaded hole, and the flat force flange 32 is installed on the force sensor 34 through the cooperation of the second external thread and the second center threaded hole.

[0076] As shown in Figures 3-4 , Figure 7 , the force loading assembly comprises a loading flange 35 and a loader 36. The upper end surface of the loading flange 35 is connected with the force sensor 34, and the bottom center of the loading flange 35 is provided with a circular groove. The top of the loader 36 is provided with a loading rod, and the loader 36 is connected with the loading flange 35 by installing the loading rod in the circular groove.

[0077] Specifically, the loading flange 35 is a cylindrical structure, and the upper end surface of the loading flange 35 is in contact with the lower end surface of the force sensor 34. A circle of threaded holes is processed on the end surface close to the outer ring surface, and at the same time, a circle of through holes nine is processed through the end surface close to the outer ring surface of the force sensor 34. The bolts pass through the through holes nine and are screwed into the threaded holes of the loading flange 35 to connect the loading flange 35 and the force sensor 34. The center of the lower end surface of the loading flange 35 is provided with a circular groove, and the upper end surface of the loading rod at the top of the loader 36 is in contact with the bottom surface of the circular groove. Among them, the diameter of the circular groove of the loading flange 35 is greater than the diameter of the loading rod. In the embodiment, the loader 36 adopts the existing technology, including but not limited to a vertical jack, a split hydraulic jack, etc.

[0078] As shown in Figures 3-4As shown, the displacement measuring mechanism 4 includes a first displacement sensor 41 and a second displacement sensor 42, the first displacement sensor 41 is arranged on the top of the male spline shaft 21 near the end of the female spline shaft 22, for measuring the displacement of the outer cylindrical surface of the male spline shaft 21 near the end of the female spline shaft 22 before and after the load; the second displacement sensor 42 is arranged on the top of the female spline shaft 22 near the end of the male spline shaft 21, for measuring the displacement of the outer cylindrical surface of the female spline shaft 22 near the end of the male spline shaft 21 before and after the load; the displacement direction measured by the first displacement sensor 41 and the second displacement sensor 42 is the same as the direction of the transverse force applied by the loader 36.

[0079] In this embodiment, the first displacement sensor 41 and the second displacement sensor 42 are both eddy current displacement sensors, and can also be laser displacement sensors, and the measured displacement direction is the vertical direction.

[0080] Embodiment two: the present application provides a kind of transverse static stiffness measurement method of circular arc end tooth connection structure, comprising the following steps:

[0081] S1: according to the bolt tightening torque of 75N·m, the short bolt connected with the male spline shaft 21 and the female spline shaft 22 is tightened;

[0082] S2: the loader 36 does not apply load, i.e. keep F=0, the initial displacement x01=10.5 μm of the outer cylindrical surface of the right end of the male spline shaft 21 is measured by the first displacement sensor 41, and the initial displacement x02=11.0 μm of the outer cylindrical surface of the left end of the female spline shaft 22 is measured by the second displacement sensor 42;

[0083] S3: the transverse force load of F=15000N is applied by the loader 36, the initial displacement x11=11.5 μm of the outer cylindrical surface of the right end of the male spline shaft 21 is measured again by the first displacement sensor 41, and the initial displacement x12=16.0 μm of the outer cylindrical surface of the left end of the female spline shaft 22 is measured again by the second displacement sensor 42;

[0084] S4: the transverse static stiffness k of the circular arc end tooth connection structure 2 is calculated:

[0085] .

[0086] It should be noted that the male spline shaft 21 and the female spline shaft 22 represent a pair of circular arc end tooth connection structures, and the male spline and the female spline can also be interchanged, which does not affect the implementation of the present application.

[0087] It should be apparent that the foregoing detailed description of the embodiments of the application provided herein is just for further illustration of the application and is not intended to limit the scope of the application claimed, but merely represents selected embodiments of the application. Some non-essential improvements and adjustments made by those skilled in the art based on the above description of the embodiments of the application are within the scope of the protection of the application.

Claims

1. A transverse static stiffness measuring device for a circular arc end tooth connection structure, characterized in that, include: Support base (1). The arc-shaped end tooth connection structure (2) is vertically installed on the support base (1); The arc-shaped end tooth connection structure (2) includes a convex tooth shaft (21) and a concave tooth shaft (22) connected by short bolts, wherein: One end of the toothed shaft (21) is machined with an annular outer flange (211), which is connected to the support seat (1). The other end of the toothed shaft (21) is provided with a first inner flange (212), which is machined with end teeth. A second inner flange (221) is provided at one end of the concave tooth shaft (22) near the convex tooth shaft (21). The second inner flange (221) is machined with end tooth concave teeth, and the end tooth concave teeth mesh with the end tooth convex teeth. A lateral force loading mechanism (3) is mounted on the support base (1) and located below the arc-shaped end tooth connection structure (2), and the vertical centerline of the lateral force loading mechanism (3) is perpendicular to the centerline of the arc-shaped end tooth connection structure (2); the lateral force loading mechanism (3) includes: The force ring (31) is connected to the outer flange on the concave gear shaft (22); the bottom of the force ring (31) is integrally formed with a long handle (311), the end of the long handle (311) is machined with a first thread, and the upper end face of the adapter flange (33) is provided with a first central thread hole. The long handle (311) is installed on the adapter flange (33) by the first thread and the first central thread hole. A planar force-measuring flange (32) is located below the force-applying ring (31), and the planar force-measuring flange (32) and the force-applying ring (31) are connected by a transition flange (33); A force loading assembly is installed on the support (1) and located below the flat force measuring flange (32), and a force sensor (34) is also provided between the force loading assembly and the flat force measuring flange (32). A displacement measuring mechanism (4) is installed on the top of the arc-shaped end tooth connection structure (2) and is used to measure the displacement of the arc-shaped end tooth connection structure (2) before and after the loading force; the displacement measuring mechanism (4) includes: The first displacement sensor (41) is located on the top of the convex tooth shaft (21) near the concave tooth shaft (22) and is used to measure the displacement of the outer cylindrical surface of the convex tooth shaft (21) near the concave tooth shaft (22) before and after the loading force. The second displacement sensor (42) is located on the top of the concave tooth shaft (22) near the convex tooth shaft (21) and is used to measure the displacement of the outer cylindrical surface of the concave tooth shaft (22) near the convex tooth shaft (21) before and after the loading force.

2. The transverse static stiffness measuring device for a circular arc end tooth connection structure according to claim 1, characterized in that, The bottom of the flat force-measuring flange (32) is provided with a boss, and the lower end of the boss is machined with a second external thread. The upper end face of the force sensor (34) is provided with a second central thread hole. The flat force-measuring flange (32) is installed on the force sensor (34) by the cooperation of the second external thread and the second central thread hole.

3. The transverse static stiffness measuring device for a circular arc end tooth connection structure according to claim 2, characterized in that, The force loading component includes: The loading flange (35) has its upper end face connected to the force sensor (34), and a circular groove is provided at the bottom center of the loading flange (35); The loader (36) is located at the bottom of the loading flange (35), and a loading rod is provided on the top of the loader (36) and the loading rod extends into the circular groove.

4. The transverse static stiffness measuring device for a circular arc end tooth connection structure according to claim 1, characterized in that, The upper end of the support (1) is provided with an annular hollow hole (11), and a first annular mounting groove and a second annular mounting groove are respectively machined at both ends along the axial direction of the annular hollow hole (11), wherein: The inner diameter of the second annular mounting groove is not less than the outer diameter of the annular outer flange (211). The outer cylindrical surface of the annular outer flange (211) is transitionally or gappedly installed in the second annular mounting groove. The end face of the annular outer flange (211) away from the convex tooth shaft (21) contacts the end face of the second annular mounting groove to achieve axial positioning of the convex tooth shaft (21). The outer cylindrical surface of the end of the convex tooth shaft (21) away from the concave tooth shaft (22) is interference-fitted into the annular hollow hole (11) to achieve radial and circumferential positioning of the convex tooth shaft (21).

5. A method for measuring the lateral static stiffness of a circular arc end tooth connection structure, characterized in that, This measurement method is based on the transverse static stiffness measuring device of the arc-shaped end tooth connection structure according to any one of claims 1-4, and includes the following steps: S1: Tighten the short bolts that connect the convex gear shaft (21) and the concave gear shaft (22) one turn according to the set bolt tightening torque; S2: The loader (36) does not apply a load. The first displacement sensor (41) measures the initial displacement x01 of the outer cylindrical surface of the convex tooth shaft (21) near the concave tooth shaft (22), and the second displacement sensor (42) measures the initial displacement x02 of the outer cylindrical surface of the concave tooth shaft (22) near the convex tooth shaft (21). S3: Apply the lateral force load F through the loader (36), and measure the initial displacement x11 of the outer cylindrical surface of the convex tooth shaft (21) near the concave tooth shaft (22) again with the first displacement sensor (41), and measure the initial displacement x12 of the outer cylindrical surface of the concave tooth shaft (22) near the convex tooth shaft (21) again with the second displacement sensor (42). S4: Calculate the lateral static stiffness k of the arc-shaped end tooth connection structure (2): 。

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