A design method for large gear ring deformation detection and matching pinion

Abstract

The present application relates to gear deformation detection and pairing gear design technical field, specifically relates to a kind of for large gear ring deformation detection and pairing pinion design method.The method includes: step S1, setting strain measurement sensor, the deformation amount of big gear ring gear tooth root is detected using strain measurement sensor;Step S2, according to the deformation amount, the torsion angle of big gear ring gear tooth on end surface is calculated;According to the torsion angle, the tooth slot width increment of big gear ring gear tooth on end surface is obtained;Step S3, using the torsion angle and tooth slot width increment of big gear ring gear tooth on end surface, the pressure angle and modulus of big gear ring after deformation are calculated;Step S4, according to the pressure angle and modulus of big gear ring after deformation, the pressure angle and modulus of pairing pinion are calculated;Pairing pinion is designed based on the pressure angle and modulus of pairing pinion.The present application can detect the deformation of large gear ring, and then design pairing pinion, to meet the engineering design requirements.

Description

Technical Field

[0001] This invention relates to the field of gear deformation detection and mating gear design technology, specifically to a method for detecting deformation of large gear rings and designing mating pinions. Background Technology

[0002] Large gear rings are susceptible to deformation during production and use due to various external factors such as heavy loads, high-speed rotation, and temperature changes, which in turn affect the gear's meshing accuracy and transmission efficiency. In recent years, with the rapid development of industrial technology, the performance requirements for gears have been continuously increasing. Gear bending fatigue resistance, meshing accuracy, and wear resistance have become important standards for measuring their quality. Large gear rings are widely used in mining and heavy machinery. Because of their large size and mass, even under non-operating conditions, the gear teeth deform at the meshing point with the mating pinion simply due to gravity. This affects the meshing transmission conditions, resulting in significant transmission errors and unstable motion, making it difficult to meet the requirements of actual engineering design.

[0003] In existing technologies, methods for inspecting the tooth profile of extra-large bearing gear rings using projection measuring instruments have emerged. This method involves creating a plaster model of the gear ring using ultra-hard plaster for demolding, and then using a projection measuring instrument to inspect and analyze the plaster model to obtain the tooth profile parameters. While this method can improve inspection accuracy to some extent, it still suffers from problems such as complex operation and long inspection cycles.

[0004] Meanwhile, some new attempts and explorations have been made in gear design. For example, by optimizing the gear profile design, the stress distribution of hardened gear teeth can be improved, the gear life can be increased, and the vibration and noise of the gearbox can be reduced. However, these methods still rely on a lot of experimental verification and experience accumulation, and are difficult to directly apply to the design of mating pinions for large gear rings. Summary of the Invention

[0005] To address the aforementioned technical problems, the present invention aims to provide a method for detecting deformation in large gear rings and designing mating pinions. The specific technical solution adopted is as follows: One embodiment of the present invention provides a method for detecting deformation of large gear rings and designing mating pinions: Step S1: Set up a strain measurement sensor and use the strain measurement sensor to detect the deformation at the root of the large gear teeth; Step S2: Calculate the torsion angle of the large gear teeth on the end face based on the deformation amount; obtain the tooth groove width increment of the large gear teeth on the end face based on the torsion angle; Step S3: Calculate the pressure angle and module of the large gear ring after deformation using the torsion angle of the large gear ring teeth on the end face and the tooth space width increment; Step S4: Calculate the pressure angle and module of the mating pinion based on the pressure angle and module of the large gear ring after deformation; design the mating pinion based on the pressure angle and module of the mating pinion.

[0006] Preferably, a strain measurement sensor is provided to detect the deformation at the root of the large gear teeth, including: The strain measurement sensors include a first strain measurement sensor and a second strain measurement sensor; the first strain measurement sensor and the second strain measurement sensor are arranged at the root of the teeth between the theoretical meshing teeth on the two end faces of the large gear ring.

[0007] Preferably, the formula for calculating the torsion angle of the large gear teeth on the end face is: , in, This indicates the angle of twist of the large gear teeth on the end face; and The first and second strain measurement sensors represent the deformation at the root of the large gear teeth, respectively; R represents the distance between the first strain measurement sensor and the center of the large gear; and d represents the distance between the first and second strain measurement sensors.

[0008] Preferably, obtaining the tooth groove width increment on the end face of the large gear ring based on the torsion angle includes: The increment of the tooth groove width on the end face of the large gear ring is the product of the pitch circle radius of the large gear ring and the torsional angle of the large gear ring teeth on the end face.

[0009] Preferably, the pressure angle and module of the large gear ring after deformation include: The pressure angle after the large gear ring is deformed includes the end face pressure angle and the normal pressure angle of the large gear ring after deformation. The module of the large gear ring after deformation includes the normal module and the end face module of the large gear ring after deformation.

[0010] Preferably, the formula for calculating the end face pressure angle after the large gear ring is deformed is: , in, This indicates the end face pressure angle after the large gear ring has deformed. This indicates the end face pressure angle before the large gear ring deforms. Indicates the pitch circle radius of the large gear ring; This indicates the angle of twist of the large gear teeth on the end face; This indicates the increment of the tooth groove width on the end face of the large gear ring; It is represented by the development angle of the involute profile of the large gear ring at the pitch circle before deformation; This indicates the base circle radius of the large gear ring.

[0011] Preferably, the formula for calculating the normal pressure angle of the large gear ring after deformation is as follows: , in, This indicates the normal pressure angle of the large gear ring after deformation. This indicates the end face pressure angle after the large gear ring has deformed. This indicates the helix angle of the large gear ring.

[0012] Preferably, the formula for calculating the normal module of the large gear ring after deformation is as follows: , in, This represents the normal module of the large gear ring after deformation. This represents the normal module of the large gear ring before deformation. Indicates the pitch circle radius of the large gear ring; This indicates the angle of twist of the large gear teeth on the end face; Indicates the helix angle of the large gear ring; It represents pi (π).

[0013] Preferably, the formula for calculating the module of the end face of the large gear ring after deformation is as follows: , in, This indicates the module of the end face of the large gear ring after deformation. This represents the normal module of the large gear ring after deformation. This indicates the helix angle of the large gear ring.

[0014] Preferably, the pressure angle and module of the mating pinion are calculated based on the pressure angle and module after the large gear ring deforms, including: The end face pressure angle and normal pressure angle of the paired pinion are equal to the end face pressure angle and normal pressure angle of the large gear ring after deformation, respectively. The end face module and normal module of the paired pinion are equal to the end face module and normal module of the large gear ring after deformation, respectively.

[0015] The embodiments of the present invention have at least the following beneficial effects: By setting a strain measurement sensor, the present invention can detect the deformation at the root of the teeth of the large gear ring. Compared with the existing detection methods, this not only ensures the accuracy of the detection but also improves the efficiency of the detection. Furthermore, by calculating the deformation of the teeth of the large gear ring, the torsional angle and tooth space width increment of a single tooth on the end face of the corresponding large gear ring are obtained. Based on the changes in the relevant parameters of the large gear ring, the module and pressure angle of the large gear ring after deformation are calculated. Then, the module and pressure angle of the mating pinion are calculated inversely based on the module and pressure angle of the large gear ring after deformation. This ensures that even if the large gear ring is deformed at its theoretical meshing position under non-operational conditions due to its own weight, it still has a good meshing state with the mating pinion designed using this method, thus well meeting the engineering design requirements. Attached Figure Description

[0016] To more clearly illustrate the technical solutions and advantages in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0017] Figure 1 This is a flowchart of a method for detecting deformation of a large gear ring and designing mating pinions, provided in an embodiment of this application. Figure 2 This is a schematic diagram of a method for detecting the deformation of large gear ring teeth and designing a mating pinion, provided in an embodiment of this application. Figure 3 This is a schematic diagram of the involute position of the gear teeth before and after deformation, provided in an embodiment of this application for a method of detecting deformation of large gear rings and designing mating pinions; Figure 4 This is a schematic diagram illustrating the relationship between the pressure angle of a large gear ring after deformation and the pitch circle radius, base circle radius, and development angle, according to an embodiment of this application for a method of detecting deformation of large gear rings and designing paired pinions.

[0018] To better illustrate this embodiment, some parts in the accompanying drawings may be omitted, enlarged, or reduced, and do not represent the actual product dimensions. Furthermore, the drawings are for illustrative purposes only and should not be construed as limiting this application. Detailed Implementation

[0019] To further illustrate the technical means and effects adopted by the present invention to achieve its intended purpose, the following, in conjunction with the accompanying drawings and preferred embodiments, details the specific implementation, structure, features, and effects of a method for detecting deformation of large gear rings and designing mating pinions according to the present invention. In the following description, different "one embodiment" or "another embodiment" do not necessarily refer to the same embodiment. Furthermore, specific features, structures, or characteristics in one or more embodiments can be combined in any suitable form.

[0020] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains.

[0021] The following description, in conjunction with the accompanying drawings, details a specific scheme for a method of detecting deformation in large gear rings and designing mating pinions provided by the present invention.

[0022] Example: The main application scenario of this invention is as follows: In modern industrial manufacturing, gear transmission devices play a crucial role. As fundamental components for transmitting motion and power, gears are widely used in various mechanical systems. Large gear rings, in particular, are commonly used in heavy machinery such as wind turbines, ships, and large construction machinery, and their performance directly affects the stability and reliability of the entire system. Therefore, there is an urgent need for an efficient and practical large gear ring deformation detection device and a matching pinion design method to achieve rapid and accurate detection of large gear ring deformation and precise design of the matching pinion, thereby improving the accuracy and efficiency of gear transmission and meeting the high performance requirements of modern industry.

[0023] Please see Figure 1 The diagram illustrates a flowchart of a method for detecting deformation of a large gear ring and designing mating pinions according to an embodiment of the present invention. The method includes the following steps: Step S1: Set up a strain measurement sensor and use the strain measurement sensor to detect the deformation at the root of the large gear teeth; Step S2: Calculate the torsion angle of the large gear teeth on the end face based on the deformation amount; obtain the tooth groove width increment of the large gear teeth on the end face based on the torsion angle; Step S3: Calculate the pressure angle and module of the large gear ring after deformation using the torsion angle of the large gear ring teeth on the end face and the tooth space width increment; Step S4: Calculate the pressure angle and module of the mating pinion based on the pressure angle and module of the large gear ring after deformation; design the mating pinion based on the pressure angle and module of the mating pinion.

[0024] Specifically, in step S1, a strain measurement sensor is set up to detect the deformation at the root of the large gear teeth.

[0025] For large gear rings whose end faces are perpendicular to the ground when not in operation, these large gear rings are mostly thin-walled gear rings. Therefore, when these gear rings mesh with their mating pinions, the teeth at the meshing position will deform due to their own weight.

[0026] Therefore, it is necessary to detect the deformation of the teeth of the large gear on the two end faces of the theoretical meshing position of the large gear ring and the mating pinion. Two devices for measuring strain are arranged at the tooth root positions between the theoretical meshing teeth on the two end faces of the large gear ring to measure the deformation of the large gear ring. The device used to measure strain is a strain measurement sensor.

[0027] like Figure 2 As shown, in this invention, a first strain measurement sensor and a second strain measurement sensor are respectively arranged at the root of the teeth between the theoretically meshing teeth on both end faces of the large gear ring. The first strain measurement sensor and the second strain measurement sensor respectively correspond to... Figure 2 The strain measurement sensors 1 and 2 are used in the structure, wherein the first strain measurement sensor and the second strain measurement sensor measure the deformation at the root of the large gear tooth. In this embodiment of the invention, the value of i is 1 or 2. and The first strain measurement sensor and the second strain measurement sensor respectively represent the amount of deformation measured at the root of the large gear tooth.

[0028] Thus, the deformation at the root of the large gear ring can be detected using a strain measurement sensor. Compared with methods that use a projection measuring instrument to detect the tooth profile of extra-large bearing gear rings and methods that use manual inspection, the detection method in this invention not only ensures the accuracy of the detection but also takes into account the efficiency of the detection.

[0029] Step S2: Calculate the torsion angle of the large gear teeth on the end face based on the deformation amount; obtain the tooth groove width increment of the large gear teeth on the end face based on the torsion angle.

[0030] Furthermore, such as Figure 2 As shown, the distance between the first strain measuring sensor and the second strain measuring sensor is obtained, denoted as d. Simultaneously, the distance from the first strain measuring sensor to the center of the large gear is obtained, denoted as R. Then, the deformation at the root of the large gear teeth measured by the first and second strain measuring sensors is combined with this information. and The torsion angle of the gear teeth on the end face can be calculated, that is... Figure 3The deflection angle between involute 1 and involute 2 shown is the deflection angle of the involute on the end face, which is also the torsional angle of the gear teeth. Specifically, the formula for calculating the torsional angle of the large gear teeth on the end face is: , in, This indicates the angle of twist of the large gear teeth on the end face; and The first and second strain measurement sensors represent the deformation at the root of the large gear teeth, respectively; R represents the distance between the first strain measurement sensor and the center of the large gear; and d represents the distance between the first and second strain measurement sensors.

[0031] like Figure 2 As shown, the pitch of the end face of the large gear ring before tooth deformation is... The end face tooth thickness is The width of the tooth groove on the end face is e. The tooth pitch on the end face... Equal to end face tooth thickness The sum of the width of the tooth groove on the end face, e.

[0032] Because the teeth of the large gear ring are deformed, there will be a torsional angle in the teeth. Although the gear tooth torsion angle does not affect the end face tooth thickness of the large gear ring, However, this will affect the tooth space width e on the end face. In other words, as the tooth twist angle increases, the tooth space width on the end face of the large gear ring will also increase accordingly. The increase in tooth space width on the end face after deformation is as follows: Figure 3 shown .

[0033] Specifically, the tooth space width increment is the product of the pitch circle radius of the large gear ring and the torsional angle of the large gear ring teeth on the end face. The formula for calculating the tooth space width increment of the large gear ring teeth on the end face is: , in, This indicates the increment of the tooth groove width on the end face of the large gear ring; Indicates the pitch circle radius of the large gear ring; This indicates the torsional angle of the large gear teeth on the end face.

[0034] Therefore, we can obtain the torsion angle of the large gear teeth on the end face and the tooth groove width increment of the large gear teeth on the end face, and then proceed with the next analysis.

[0035] Step S3: Calculate the pressure angle and module of the large gear ring after deformation using the torsion angle of the teeth on the end face and the tooth groove width increment.

[0036] The torsion angle of the gear teeth on the end face and the increment of the tooth space width have been calculated. Figure 4 As shown, after the teeth of the large gear ring deform, Q1 shifts to the position of Q2, and θ is... Figure 3 The involute 1 shown has an angle of development at Q1. for Figure 3 The involute 2 shown has an angle of development at Q2, and the base circle radii of the large gear before and after deformation are respectively... and The end face pressure angle of the large gear ring before deformation is The end face pressure angle of the deformed large gear ring is The change in the end face pressure angle is the difference between the end face pressure angles before and after the deformation of the large gear teeth, i.e. .

[0037] Through Figure 4 The basic parameters and geometric relationships of the large gear ring before and after deformation are shown, and then the following can be derived: The calculation formula is: .like Figure 4 As shown and If there is a certain relationship between them, then and The relationship is: ;in, ; ; ; ; ; ; By combining the above formulas, the formula for calculating the change in the pressure angle of the rear end face of the deformed large gear ring can be obtained as follows: , in, This represents the change in the pressure angle at the rear end face of the deformed large gear ring. Indicates the pitch circle radius of the large gear ring; This indicates the angle of twist of the large gear teeth on the end face; This indicates the increment of the tooth groove width on the end face of the large gear ring; Indicates the development angle of an involute; This represents the base circle radius of the large gear ring. The pressure angles of the large gear ring after deformation include the end face pressure angle and the normal pressure angle after deformation.

[0038] Furthermore, the change in the pressure angle of the rear end face of the deformed large gear ring is... Pressure angle of the end face before deformation of the large gear ring Adding them together yields the end face pressure angle of the deformed large gear ring. The specific calculation formula is as follows: , in, This indicates the end face pressure angle after the large gear ring has deformed. This indicates the end face pressure angle before the large gear ring deforms. Indicates the pitch circle radius of the large gear ring; This indicates the angle of twist of the large gear teeth on the end face; This indicates the increment of the tooth groove width on the end face of the large gear ring; It is represented by the development angle of the involute profile of the large gear ring at the pitch circle before deformation; This indicates the base circle radius of the large gear ring. The calculation formula is: .

[0039] Next, in order to ensure that the subsequent pinion can match the large gear, it is also necessary to calculate the normal pressure angle of the large gear ring after deformation. The specific calculation formula is as follows: , in, This indicates the normal pressure angle of the large gear ring after deformation. This indicates the end face pressure angle after the large gear ring has deformed. This indicates the helix angle of the large gear ring.

[0040] The module of the large gear ring after deformation includes the normal module and the end face module. As the tooth space width increases after deformation, the corresponding end face tooth pitch also increases, which is the end face tooth pitch of the gear. Related to the gear module, end face tooth pitch As the gear changes, its module also changes. Therefore, the normal module of the deformed large gear ring can be calculated using the end face tooth pitch. The formula for calculating the normal module of the deformed large gear ring is as follows: , in, This represents the normal module of the large gear ring after deformation. This represents the normal module of the large gear ring before deformation. Indicates the pitch circle radius of the large gear ring; This indicates the angle of twist of the large gear teeth on the end face; Indicates the helix angle of the large gear ring; It represents pi (π). ,therefore The calculation formula can also be expressed as

[0041] The formula for calculating the end face module of the large gear ring after deformation is as follows: , in, This indicates the module of the end face of the large gear ring after deformation. This represents the normal module of the large gear ring after deformation. This indicates the helix angle of the large gear ring.

[0042] This yielded the end face pressure angle of the deformed large gear ring. The normal pressure angle of the large gear ring after deformation The normal module of the large gear ring after deformation The module of the end face of the large gear ring after deformation .

[0043] Step S4: Calculate the pressure angle and module of the mating pinion based on the pressure angle and module of the large gear ring after deformation; design the mating pinion based on the pressure angle and module of the mating pinion.

[0044] The pressure angles after the large gear ring deforms include the end face pressure angle and the normal pressure angle of the large gear ring after deformation, which are respectively... and The module of the large gear ring after deformation includes the normal module and the end face module of the large gear ring after deformation, which are respectively... and .

[0045] To ensure good meshing between the large gear ring and the mating pinion, the pressure angle and module of the mating pinion should be equal.

[0046] Therefore, the end face pressure angle and normal pressure angle of the mating pinion are equal to the end face pressure angle and normal pressure angle of the deformed large gear ring, respectively. The formulas for calculating the end face pressure angle and normal pressure angle of the mating pinion are: ; ; in, The end face pressure angle after the large gear ring is deformed; Indicates the pressure angle of the pinion's end face; The normal pressure angle of the large gear ring after deformation; This indicates the normal pressure angle of the pinion.

[0047] The face module and normal module of the mating pinion are equal to the face module and normal module of the large gear ring after deformation, respectively. The formulas for calculating the face module and normal module of the mating pinion are as follows: ; ; in, This represents the normal module of the large gear ring after deformation. Indicates the normal module of the paired pinion; This is the module of the end face of the large gear ring after deformation. This indicates the end face module of the paired pinion.

[0048] From this, we can obtain the end face pressure angle and normal pressure angle of the mating pinion, as well as the end face module and normal module of the mating pinion, and design the mating pinion accordingly.

[0049] It should be noted that the order of the above embodiments of the present invention is merely for descriptive purposes and does not represent the superiority or inferiority of the embodiments. Furthermore, the above description focuses on specific embodiments of this specification. Additionally, the processes depicted in the accompanying drawings do not necessarily require a specific or sequential order to achieve the desired results. In some embodiments, multitasking and parallel processing are possible or may be advantageous.

[0050] The various embodiments in this specification are described in a progressive manner. The same or similar parts between the various embodiments can be referred to each other. Each embodiment focuses on describing the differences from other embodiments.

[0051] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the protection scope of the present invention.

Claims

1. A method for detecting deformation of large gear rings and designing mating pinions, characterized in that, The method includes: Step S1: Set up a strain measurement sensor and use the strain measurement sensor to detect the deformation at the root of the large gear teeth; The strain measurement sensors included a first strain measurement sensor and a second strain measurement sensor; the first strain measurement sensor and the second strain measurement sensor were arranged at the root of the tooth between the theoretical meshing teeth on the two end faces of the large gear ring. Step S2: Calculate the torsion angle of the large gear teeth on the end face based on the deformation amount; obtain the tooth groove width increment of the large gear teeth on the end face based on the torsion angle; The formula for calculating the torsion angle of the large gear teeth on the end face is: ， in, This indicates the angle of twist of the large gear teeth on the end face; and denoted by and , respectively, the deformation at the root of the large gear tooth measured by the first strain measuring sensor and the second strain measuring sensor; R represents the distance from the first strain measuring sensor to the center of the large gear; d represents the distance between the first strain measuring sensor and the second strain measuring sensor. The increment of the tooth space width on the end face of the large gear ring is the product of the pitch circle radius of the large gear ring and the torsion angle of the large gear ring teeth on the end face; Step S3: Calculate the pressure angle and module of the large gear ring after deformation using the torsion angle of the large gear ring teeth on the end face and the tooth space width increment; The pressure angle after the large gear ring is deformed includes the end face pressure angle and the normal pressure angle of the large gear ring after deformation. The formula for calculating the end face pressure angle of the large gear ring after deformation is as follows: ， in, This indicates the end face pressure angle after the large gear ring has deformed. This indicates the end face pressure angle before the large gear ring deforms. Indicates the pitch circle radius of the large gear ring; This indicates the angle of twist of the large gear teeth on the end face; This indicates the increment of the tooth groove width on the end face of the large gear ring; It is represented by the development angle of the involute profile of the large gear ring at the pitch circle before deformation; Indicates the base circle radius of the large gear ring; Step S4: Calculate the pressure angle and module of the mating pinion based on the pressure angle and module of the large gear ring after deformation; design the mating pinion based on the pressure angle and module of the mating pinion.

2. The method for detecting deformation of large gear rings and designing mating pinions according to claim 1, characterized in that, The module of the large gear ring after deformation includes the normal module and the end face module of the large gear ring after deformation.

3. The method for detecting deformation of large gear rings and designing mating pinions according to claim 1, characterized in that, The formula for calculating the normal pressure angle of the deformed large gear ring is as follows: , in, This indicates the normal pressure angle of the large gear ring after deformation. This indicates the end face pressure angle after the large gear ring has deformed. This indicates the helix angle of the large gear ring.

4. The method for detecting deformation of large gear rings and designing mating pinions according to claim 2, characterized in that, The formula for calculating the normal module of the large gear ring after deformation is as follows: ， in, This represents the normal module of the large gear ring after deformation. This represents the normal module of the large gear ring before deformation. Indicates the pitch circle radius of the large gear ring; This indicates the angle of twist of the large gear teeth on the end face; Indicates the helix angle of the large gear ring; It represents pi (π).

5. The method for detecting deformation of large gear rings and designing mating pinions according to claim 2, characterized in that, The formula for calculating the module of the end face of the large gear ring after deformation is as follows: ， in, This indicates the module of the end face of the large gear ring after deformation. This represents the normal module of the large gear ring after deformation. This indicates the helix angle of the large gear ring.

6. The method for detecting deformation of large gear rings and designing mating pinions according to claim 1, characterized in that, The calculation of the pressure angle and module of the mating pinion based on the pressure angle and module after the deformation of the large gear ring includes: The end face pressure angle and normal pressure angle of the paired pinion are equal to the end face pressure angle and normal pressure angle of the large gear ring after deformation, respectively. The end face module and normal module of the paired pinion are equal to the end face module and normal module of the large gear ring after deformation, respectively.

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