Combined rotor unbalance estimation method and combined rotor balancing method

Abstract

The application discloses a combined rotor unbalance estimation method and a combined rotor balancing method. The combined rotor unbalance estimation method comprises the following steps: obtaining a run-out eccentricity of the combined rotor; simplifying a first rotor into a first axis representing a rotating shaft of the first rotor and simplifying a second rotor into a second axis representing a rotating shaft of the second rotor; defining a third axis as a line connecting separated ends of the first axis and the second axis, and making a distance between the first axis and the second axis at a joint end and the third axis equal to a quantitative length of the run-out eccentricity, thereby forming a simplified model of the combined rotor; and calculating an unbalance of the combined rotor by combining geometric parameters and weight parameters of the combined rotor, the first rotor and the second rotor. The application calculates the unbalance of the combined rotor based on geometric algebra theory and a balance vector synthesis rule by establishing the simplified model of the combined rotor, and does not need to carry out combined balancing on the combined rotor, thereby simplifying an operation process.

Description

Technical Field

[0001] This invention relates to the field of aero-engines, and in particular to a method for estimating the unbalance of a combined rotor and a method for balancing a combined rotor. Background Technology

[0002] Currently, high-pressure rotor units for aero-engines are mainly produced using simulation balancing and combined balancing methods.

[0003] The simulated balancing process involves assembling a simulated rotor with another rotor in place of a real rotor and then performing dynamic balancing. The two real rotors, after being balanced, directly proceed to the subsequent engine assembly process. The key element in the simulated balancing process is the simulated rotor. To ensure balancing quality, the manufacturing precision requirements for the simulated rotor are extremely high, and the maintenance requirements for the simulated rotor during long-term use are also high, resulting in high costs for balancing tooling.

[0004] The combined balancing process involves first balancing and correcting the two individual maintenance units separately using conventional balancing fixtures, then assembling the two rotors together for combined balancing, ultimately ensuring that the remaining imbalance meets the design requirements. This method requires balancing not only the individual rotors separately but also the combined rotor, making the process complex and cumbersome. Summary of the Invention

[0005] The technical problem to be solved by the present invention is to overcome the shortcomings of the high cost of existing simulation balancing process and the cumbersome process of combined balancing process, and to provide a combined rotor imbalance estimation method and rotor balancing method.

[0006] This invention solves the technical problem in the following ways:

[0007] A method for estimating the imbalance of a combined rotor, wherein the combined rotor is composed of a first rotor and a second rotor, includes the following steps:

[0008] The runout eccentricity of the combined rotor at the joint surface of the first rotor and the second rotor is obtained;

[0009] The first rotor is simplified to a first axis representing its axis of rotation, and the second rotor is simplified to a second axis representing its axis of rotation.

[0010] The first axis and the second axis are connected at one end and separated at the other end. The line connecting the separated ends of the first axis and the second axis is defined as the third axis. The distance between the connected end of the first axis and the second axis and the third axis is equal to the quantized length of the runout eccentricity, thereby forming a simplified model of the combined rotor.

[0011] The imbalance of the combined rotor is calculated by combining the simplified model, the geometric parameters of the first rotor and the second rotor, and the weight parameters of the first rotor and the second rotor.

[0012] This invention establishes a simplified model of the combined rotor, calculates the unbalance of the combined rotor based on geometric algebra theory and the law of balance vector synthesis, and then directly performs correction on the balance correction surface, eliminating the need for combined balancing on a balancing machine, thus simplifying the operation process, improving efficiency, and reducing costs.

[0013] Preferably, the imbalance includes static imbalance. The step of calculating the imbalance of the combined rotor by combining the simplified model, the geometric parameters of the first rotor and the second rotor, and the weight parameters of the first rotor and the second rotor includes:

[0014] Obtain the geometric parameters L 11 L 21 L 12 L 22 , where L 11 L is the distance between the center of gravity of the first rotor on the first axis and the separation end of the first axis. 12 L is the distance between the center of gravity of the first rotor on the first axis and the end where the first axis intersects. 21 L is the distance between the center of gravity of the second rotor on the second axis and the end where the second axis intersects. 22 The distance between the center of gravity of the second rotor located on the second axis and the separation end of the second axis;

[0015] Based on the simplified model's geometric relationships and static imbalance formula, the weights of the first rotor (m1), the second rotor (m2), and the runout eccentricities (S and L) are obtained. 11 L 21 L 12 L 22 With the static imbalance of the combined rotor U s The relationship between them.

[0016] This enables the calculation of static imbalance of combined rotors.

[0017] Preferably, m1, m2, S, and L are obtained. 11 L 21 L 12 L 22 with U S The steps involved in establishing the relationship also include:

[0018] Introducing intermediate parameter R 1H R 2H , where R 1H R is the distance between the center of gravity of the first rotor and the third axis. 2HThis is the distance between the center of gravity of the second rotor and the third axis;

[0019] Establish R 1H and L 11 L 12 The geometric relationship between S and R 2H and L 21 L 22 The geometric relationship between S;

[0020] Establish the static imbalance U of the first rotor s1 and m1, R 1H The geometric relationship between them, the static imbalance U of the second rotor s2 and m2, R 2H The geometric relationship between them;

[0021] Simultaneous elimination of R 1H R 2H ;

[0022] According to the solution of R 1H R 2H U after s1 U s2 The static imbalance U of the combined rotor is obtained. s and m1, m2, S, L 11 L 21 L 12 L 22 The relationship between them.

[0023] By introducing intermediate parameters, the calculation process of static imbalance is simplified, and the calculation efficiency is further improved.

[0024] Preferably, the unbalance includes even unbalance. The step of calculating the unbalance of the combined rotor by combining the simplified model, the geometric parameters of the first rotor and the second rotor, and the weight parameters of the first rotor and the second rotor includes:

[0025] ΔJ1 is obtained based on the weight m1 of the first rotor and its geometric parameters. ΔJ1 is the difference between the diameter rotational inertia and the pole rotational inertia of the first rotor. ΔJ2 is obtained based on the weight m2 of the second rotor and its geometric parameters. ΔJ2 is the difference between the diameter rotational inertia and the pole rotational inertia of the second rotor.

[0026] Obtain the geometric parameters L of the simplified model 11 L 21 L 12 L 22 , where L 11 L is the distance between the center of gravity of the first rotor on the first axis and the separation end of the first axis. 12 L is the distance between the center of gravity of the first rotor on the first axis and the end where the first axis intersects.21 L is the distance between the center of gravity of the second rotor on the second axis and the end where the second axis intersects. 22 The distance between the center of gravity of the second rotor located on the second axis and the separation end of the second axis;

[0027] Based on the geometric relationships of the simplified model and the formula for even unbalance, we obtain ΔJ1, m1, ΔJ2, m2, and L. 11 L 21 L 12 L 22 1. Runout eccentricity S and combined rotor couple imbalance U c The relationship between them.

[0028] This enables the calculation of the unbalance of the combined rotor couple.

[0029] Preferably, ΔJ1, m1, ΔJ2, m2, L are obtained. 11 L 21 L 12 L 22 S and the unbalance of the combined rotor couple U c The steps involved in establishing the relationship include:

[0030] Introducing intermediate parameter R 1H R 2H α, β, where R 1H R is the distance between the center of gravity of the first rotor and the third axis. 2H α is the distance between the center of gravity of the second rotor and the third axis, α is the angle between the first axis and the third axis, and β is the angle between the second axis and the third axis.

[0031] Establish R 1H and L 11 L 12 The geometric relationship between S, α and L 11 L 12 The geometric relationship between S and R 2H and L 21 L 22 The geometric relationship between S, β and L 21 L 22 The geometric relationship between S and S.

[0032] Establish the even imbalance U of the first rotor c1 The relationship between α and ΔJ1, and the even imbalance U of the second rotor. c2 The relationship between β and ΔJ2;

[0033] The even unbalance U of the combined rotor is obtained from the even unbalance formula. c with U c1 U c2m1, m2, L 12 L 21 R 1H R 2H The relationship between them;

[0034] Simultaneous elimination of R 1H R 2H α, β to obtain U c and ΔJ1, m1, ΔJ2, m2, L 11 L 21 L 12 L 22 The relationship between S and S.

[0035] By introducing intermediate parameters, the calculation of even imbalance is simplified, and the calculation efficiency is further improved.

[0036] The present invention also provides a combined rotor balancing method, comprising the following steps:

[0037] The eccentricity angle δ of the combined rotor is obtained;

[0038] The static imbalance U of the combined rotor is obtained based on the method for estimating the imbalance of the combined rotor described above. s Couple imbalance U c ;

[0039] According to δ, U s The mass and installation position of the static unbalanced counterweight are obtained from the geometric relationship of the first mounting surface used to install the static unbalanced counterweight.

[0040] According to U c The mass and installation position of the unbalanced counterweight are obtained by considering the rotation direction and the geometry of the second mounting surface used to install the unbalanced counterweight.

[0041] Therefore, the mass and installation position of the counterweight can be calculated based on the calculated static and even imbalance.

[0042] Preferably, the first mounting surface is the mating surface of the combined rotor.

[0043] This ensures that the correction surface of the combined rotor does not overlap with the correction surfaces of the first and second rotors, thus avoiding violation of the distribution balance principle.

[0044] Preferably, the steps of obtaining the mass and installation position of the statically unbalanced counterweight based on the geometric relationship of the first mounting surface include:

[0045] The distance r between the mounting position on the first mounting surface and the axis of the combined rotor was measured.

[0046] According to r and U sThe mass of the statically unbalanced counterweight is calculated.

[0047] Preferably, the second mounting surface includes the non-joining end face of the first rotor and the non-joining end face of the second rotor.

[0048] Preferably, the step of obtaining the mass of the unbalanced counterweight based on the geometry of the second mounting surface includes:

[0049] The span L between the mounting positions on the non-joined end face of the first rotor and the mounting positions on the non-joined end face of the second rotor was measured.

[0050] The distance r between the mounting position on the non-joined end face of the first rotor and the axis of the combined rotor was measured. front The distance r between the mounting position on the non-joining end face of the second rotor and the axis of the combined rotor. after ;

[0051] According to L, r front r after and U c Calculate the mass of the unbalanced counterweight installed on the non-joined end face of the first rotor and the mass of the unbalanced counterweight installed on the non-joined end face of the second rotor.

[0052] This invention establishes a simplified model of the combined rotor, calculates the unbalance of the combined rotor based on geometric algebra theory and the law of balance vector synthesis, and then directly performs correction on the balance correction surface, eliminating the need for combined balancing on a balancing machine, thus simplifying the operation process, improving efficiency, and reducing costs. Attached Figure Description

[0053] Figure 1 Plan view of the combined rotor

[0054] Figure 2 To simplify the model's view;

[0055] Figure 3 A representation view of the runout eccentricity S and eccentricity angle δ on the mating surface;

[0056] Explanation of reference numerals in the attached figures:

[0057] First rotor 10

[0058] Second rotor 20

[0059] First axis 100

[0060] Second axis 200

[0061] Third axis 300 Detailed Implementation

[0062] The present invention will be further illustrated by way of embodiments below, but the present invention is not limited to the scope of the embodiments.

[0063] like Figure 1 As shown, this invention provides a method for estimating the unbalance of a combined rotor, which is constructed by splicing a first rotor 10 and a second rotor 20. In this invention, the first rotor 10 is a high-pressure compressor maintenance unit rotor, and the second rotor 20 is a high-pressure turbine maintenance unit rotor. The first rotor 10 and the second rotor 20 have a mating surface to allow them to be spliced ​​together to form the combined rotor.

[0064] The method for estimating the unbalance of the combined rotor specifically includes the following steps:

[0065] Combination Figure 1 and Figure 3 To obtain the runout eccentricity S and eccentricity angle δ of the combined rotor at the mating surface of the first rotor 10 and the second rotor 20, specifically, the combined rotor is placed on a balancing machine or special tooling, manually rotated at a constant speed, and the runout value of the combined rotor at the mating surface is measured using a dial indicator / micrometer / displacement sensor. This mating surface is... Figure 1 The outer cylindrical surface (R1 surface) or the inner cylindrical surface (R2 surface) shown in the figure are then fitted using the least squares method to obtain the eccentricity S and eccentricity angle δ at the joint surface. The eccentricity S is the distance between the fitted circle center and the combined rotor shaft center, and the eccentricity angle δ is the angle between the fitted circle center and the line connecting the axis in the joint surface coordinate system.

[0066] Combination Figure 2 The first rotor 10 is simplified to a first axis 100 that represents its rotation axis, the length of which is the same as the length of the first rotor 10; the second rotor 20 is simplified to a second axis 200 that represents its rotation axis, the length of which is the same as the length of the second rotor 20.

[0067] The first axis 100 and the second axis 200 are connected at one end and separated at the other end. The line connecting the separated ends of the first axis 100 and the second axis 200 is defined as the third axis 300. The distance between the connected end of the first axis 100 and the second axis 200 and the third axis 300 is equal to the quantized length of the runout eccentricity. This constitutes a simplified model of the combined rotor, wherein the third axis 300 is used to characterize the rotation axis of the combined rotor.

[0068] The unbalance of the combined rotor is calculated by combining the simplified model, the geometric parameters of the first rotor 10 and the second rotor 20, and the weight parameters of the first rotor 10 and the second rotor 20.

[0069] This invention establishes a simplified model of the combined rotor, calculates the unbalance of the combined rotor based on geometric algebra theory and the law of balance vector synthesis, and then directly performs correction on the balance correction surface, eliminating the need for combined balancing on a balancing machine, thus simplifying the operation process, improving efficiency, and reducing costs.

[0070] In this embodiment, the imbalance includes static imbalance. The step of calculating the static imbalance by combining a simplified model, the geometric parameters of the first rotor 10 and the second rotor 20, and the weight parameters of the first rotor 10 and the second rotor 20 includes:

[0071] Obtain the geometric parameters L 11 L 21 L 12 L 22 , where L 11 L is the distance between the center of gravity of the first rotor 10 on the first axis 100 and the separation end of the first axis 100. 12 L is the distance between the center of gravity of the first rotor 10 on the first axis 100 and the end of the first axis 100 that is connected to it. 21 L is the distance between the center of gravity of the second rotor 20 on the second axis 200 and the end of the second axis 200 that is connected to it. 22 The distance between the center of gravity of the second rotor 20 on the second axis 200 and the separation end of the second axis 200;

[0072] Based on the simplified model's geometric relationships and static imbalance formula, the weights m1 and m2 of the first rotor 10 and the runout eccentricity S and L of the second rotor 20 are obtained. 11 L 21 L 12 L 22 With the static imbalance of the combined rotor U s The relationship between the static imbalance quantity U s The following relationship must be satisfied:

[0073]

[0074] Specifically, in this embodiment, the steps to obtain the above formula (1) include:

[0075] Introducing intermediate parameter R 1H R 2H , where R 1H R is the distance between the center of gravity of the first rotor 10 and the third axis 300. 2H The distance between the center of gravity of the second rotor 20 and the third axis 300;

[0076] Establish R 1H and L 11 L 12The geometric relationship between S and R 2H and L 21 L 22 The geometric relationship between S and S satisfies the following formula:

[0077]

[0078]

[0079] The above formulas can be derived from the similar triangle theorem, and will not be elaborated further here;

[0080] Establish the static imbalance U of the first rotor 10 s1 and m1, R 1H The geometric relationship between them, the static imbalance U of the second rotor 20 s2 and m2, R 2H The geometric relationship between them satisfies the following formula:

[0081] U s1 =m 1* R 1H (4)

[0082] U s2 =m 2* R 2H (5)

[0083] R is eliminated by combining equations (2), (3), (4) and (5). 1H R 2H ;

[0084] According to U s1 U s2 The static imbalance U of the combined rotor is obtained. s and m1, m2, S, L 11 L 21 L 12 L 22 The relationship between them satisfies the following formula:

[0085]

[0086] It should be noted that in this invention, the static imbalance is defined as positive when it is above the third axis 300 and negative when it is below the third axis 300. In this embodiment, since the center of gravity of the first rotor 10 and the second rotor 20 are both located on the same side of the third axis 300, the imbalance of the first rotor 10 and the second rotor 20 is added together in formula (6).

[0087] By introducing intermediate parameter R 1H R 2HThis simplifies the calculation process of static imbalance and further improves calculation efficiency.

[0088] In this embodiment, the imbalance of the combined rotor also includes a pair imbalance. The step of calculating the pair imbalance by combining the simplified model, the geometric parameters of the first rotor 10 and the second rotor 20, and the weight parameters of the first rotor 10 and the second rotor 20 includes:

[0089] ΔJ1 is obtained based on the weight m1 of the first rotor 10 and its radius and length. ΔJ1 is the difference between the diameter rotational inertia and the pole rotational inertia of the first rotor 10. ΔJ2 is obtained based on the weight m2 of the second rotor 20 and its radius and length. ΔJ2 is the difference between the diameter rotational inertia and the pole rotational inertia of the second rotor 20. Since the calculation of rotational inertia is existing technology, it will not be described further here.

[0090] Based on the geometric relationships of the simplified model and the formula for even unbalance, we obtain ΔJ1, m1, ΔJ2, m2, and L. 11 L 21 L 12 L 22 S and the unbalance of the combined rotor couple U c The relationship between them satisfies the following formula:

[0091]

[0092] This enables the calculation of the unbalance of the combined rotor couple.

[0093] In this embodiment, the specific steps for obtaining formula (7) further include:

[0094] Introducing intermediate parameter R 1H R 2H α, β;

[0095] Establish R 1H and L 11 L 12 The geometric relationship between S and R 2H and L 21 L 22 The geometric relationship between S and S satisfies the above formulas (2) and (3) respectively, which will not be elaborated further here;

[0096] Establish α and L 11 L 12 The geometric relationship between S, β and L 21 L 22 The geometric relationship between S and S satisfies the following formula:

[0097]

[0098]

[0099] Establish the even imbalance U of the first rotor 10 c1 The relationship between α and ΔJ1, and the even imbalance U of the second rotor 20. c2 The relationship between β and ΔJ2 satisfies the following formula:

[0100] U c1 =ΔJ1α (10)

[0101] U c2 =ΔJ2β (11)

[0102] The even unbalance U of the combined rotor is obtained from the even unbalance formula. c with U c1 U c2 m1, m2, L 12 L 21 R 1H R 2H The relationship between them satisfies the following formula:

[0103] U c =(ΔJ1α-m1R) 1H L 12 )-(ΔJ2β-m2R 2H L 21 (12)

[0104] It should be noted that the present invention defines the even imbalance in the counterclockwise direction as positive and the even imbalance in the clockwise direction as negative. Since the rotation directions of the first rotor 10 and the second rotor 20 are opposite, the even imbalance in formula (12) is the difference between the two.

[0105] It should also be noted that, since the calculation is of the even unbalance at the center of mass of the combined rotor, the torque m1R of the static unbalance relative to the center of mass of the combined rotor based on the center of mass of the first rotor 10 needs to be included in formula (12). 1H L 12 And the static unbalance of the second rotor 20 relative to the torque m2R of the combined rotor's center of mass. 2H L 21 .

[0106] R is solved by combining formulas (2), (3), (8), (9) and (12). 1H R 2H From this, we can obtain the formula (7).

[0107] By introducing intermediate parameters, the calculation of even imbalance is simplified, and the calculation efficiency is further improved.

[0108] The present invention also provides a combined rotor balancing method, comprising the following steps:

[0109] The first rotor 10 and the second rotor 20 are balanced separately using the existing step-by-step balancing process.

[0110] The runout eccentricity S and eccentricity angle δ of the combined rotor are obtained;

[0111] The static imbalance U of the combined rotor is obtained based on the above method for estimating the imbalance of the combined rotor. s Couple imbalance U c ;

[0112] According to δ, U s The mass and installation position of the static unbalanced counterweight are obtained from the geometric relationship of the first mounting surface used to install the static unbalanced counterweight.

[0113] According to U c The mass and installation position of the unbalanced counterweight are obtained by considering the rotation direction and the geometry of the second mounting surface used to install the unbalanced counterweight.

[0114] Therefore, the mass and installation position of the counterweight can be calculated based on the calculated static and even imbalance.

[0115] In this embodiment, the first mounting surface is the mating surface of the combined rotor. Thus, the correction surface of the combined rotor can avoid the correction surfaces of the first rotor 10 and the second rotor 20, avoiding violation of the step-by-step balance principle due to the overlap of correction surfaces.

[0116] The steps for determining the mass and installation position of the statically unbalanced counterweight based on the geometry of the first mounting surface include:

[0117] The distance r between the mounting position on the first mounting surface and the third axis 300 was measured.

[0118] Based on r and U s The mass m of the statically unbalanced counterweight was calculated. s It satisfies the following formula:

[0119]

[0120] The static imbalance is installed in the direction of δ+180°, which can counteract the static imbalance of the combined rotor.

[0121] In this embodiment, the second mounting surface includes the non-joining end face of the first rotor 10 and the non-joining end face of the second rotor 20. Furthermore, in other alternative embodiments, the second mounting surface may also be a cross-section adjacent to the non-joining end face of the first rotor 10 or the second rotor 20.

[0122] The steps for obtaining the mass and installation position of the unbalanced counterweight based on the geometry of the second mounting surface include:

[0123] The span L between the mounting positions on the non-joining end face of the first rotor 10 and the mounting positions on the non-joining end face of the second rotor 20 was measured.

[0124] The distance r between the mounting position on the non-joining end face of the first rotor 10 and the axis of the combined rotor was measured. front The distance r between the mounting position on the non-joining end face of the second rotor 20 and the axis of the combined rotor. after ;

[0125] According to L, r front r after and U c Calculate the mass m of the unbalanced counterweight installed on the non-coupling end face of the first rotor 10. c1 and the mass m of the unbalanced counterweight installed on the non-coupling end face of the second rotor 20 c2 It satisfies the following formula:

[0126]

[0127]

[0128] The installation positions of the two unbalanced counterweights must be such that the rotation direction of the unbalance generated by the two counterweights is opposite to the rotation direction of the combined rotor, thereby canceling out the unbalance generated by the combined rotor.

[0129] While specific embodiments of the present invention have been described above, those skilled in the art should understand that these are merely illustrative examples, and the scope of protection of the present invention is defined by the appended claims. Those skilled in the art can make various changes or modifications to these embodiments without departing from the principles and essence of the present invention, but all such changes and modifications fall within the scope of protection of the present invention.

Claims

1. A method for estimating the unbalance of a combined rotor, wherein the combined rotor is composed of a first rotor and a second rotor joined together, characterized in that: Includes the following steps: The runout eccentricity of the combined rotor at the joint surface of the first rotor and the second rotor is obtained; The first rotor is simplified to a first axis representing its axis of rotation, and the second rotor is simplified to a second axis representing its axis of rotation. The first axis and the second axis are connected at one end and separated at the other end. The line connecting the separated ends of the first axis and the second axis is defined as the third axis. The distance between the connected end of the first axis and the second axis and the third axis is equal to the quantized length of the runout eccentricity, thereby forming a simplified model of the combined rotor. The imbalance of the combined rotor is calculated by combining the simplified model, the geometric parameters of the first rotor and the second rotor, and the weight parameters of the first rotor and the second rotor. The imbalance includes static imbalance. The steps for calculating the imbalance of the combined rotor by combining the simplified model, the geometric parameters of the first rotor and the second rotor, and the weight parameters of the first rotor and the second rotor include: Obtain the geometric parameters L 11 L 21 L 12 L 22 , where L 11 L is the distance between the center of gravity of the first rotor on the first axis and the separation end of the first axis. 12 L is the distance between the center of gravity of the first rotor on the first axis and the end where the first axis intersects. 21 L is the distance between the center of gravity of the second rotor on the second axis and the end where the second axis intersects. 22 The distance between the center of gravity of the second rotor located on the second axis and the separation end of the second axis; Based on the simplified model's geometric relationships and static imbalance formula, the weights of the first rotor (m1), the second rotor (m2), and the runout eccentricities (S and L) are obtained. 11 L 21 L 12 L 22 With the static imbalance of the combined rotor U s The relationship between the static imbalance quantity U s The following relationship must be satisfied: ； The unbalance includes even unbalance. The steps for calculating the unbalance of the combined rotor by combining the simplified model, the geometric parameters of the first rotor and the second rotor, and the weight parameters of the first rotor and the second rotor include: ΔJ1 is obtained based on the weight m1 of the first rotor and its geometric parameters. ΔJ1 is the difference between the diameter rotational inertia and the pole rotational inertia of the first rotor. ΔJ2 is obtained based on the weight m2 of the second rotor and its geometric parameters. ΔJ2 is the difference between the diameter rotational inertia and the pole rotational inertia of the second rotor. Obtain the geometric parameters L of the simplified model 11 L 21 L 12 L 22 , where L 11 L is the distance between the center of gravity of the first rotor on the first axis and the separation end of the first axis. 12 L is the distance between the center of gravity of the first rotor on the first axis and the end where the first axis intersects. 21 L is the distance between the center of gravity of the second rotor on the second axis and the end where the second axis intersects. 22 The distance between the center of gravity of the second rotor located on the second axis and the separation end of the second axis; Based on the geometric relationships of the simplified model and the formula for even unbalance, we obtain ΔJ1, m1, ΔJ2, m2, and L. 11 L 21 L 12 L 22 1. Runout eccentricity S and combined rotor couple imbalance U c The relationship between them satisfies the following formula: 。 2. The method for estimating the unbalance of a combined rotor as described in claim 1, characterized in that: Get m1, m2, S, L 11 L 21 L 12 L 22 with U S The steps involved in establishing the relationship also include: Introducing intermediate parameter R 1H R 2H , where R 1H R is the distance between the center of gravity of the first rotor and the third axis. 2H This is the distance between the center of gravity of the second rotor and the third axis; Establish R 1H and L 11 L 12 The geometric relationship between S and R 2H and L 21 L 22 The geometric relationship between S; Establish the static imbalance U of the first rotor s1 and m1, R 1H The geometric relationship between them, the static imbalance U of the second rotor s2 and m2, R 2H The geometric relationship between them; Simultaneous elimination of R 1H R 2H ; According to the solution of R 1H R 2H U after s1 U s2 The static imbalance U of the combined rotor is obtained. s and m1, m2, S, L 11 L 21 L 12 L 22 The relationship between them.

3. The method for estimating the unbalance of a combined rotor as described in claim 1, characterized in that: We obtain ΔJ1, m1, ΔJ2, m2, L 11 L 21 L 12 L 22 S and the unbalance of the combined rotor couple U c The steps involved in establishing the relationship include: Introducing intermediate parameter R 1H R 2H α, β, where R 1H R2H is the distance between the center of gravity of the first rotor and the third axis, R2H is the distance between the center of gravity of the second rotor and the third axis, α is the angle between the first axis and the third axis, and β is the angle between the second axis and the third axis. Establish R 1H and L 11 L 12 The geometric relationship between S, α and L 11 L 12 The geometric relationship between S and R 2H and L 21 L 22 The geometric relationship between S, β and L 21 L 22 The geometric relationship between S; Establish the even imbalance U of the first rotor c1 The relationship between α and ΔJ1, and the even imbalance U of the second rotor. c2 The relationship between β and ΔJ2; The even unbalance U of the combined rotor is obtained from the even unbalance formula. c with U c1 U c2 m1, m2, L 12 L 21 R 1H R 2H The relationship between them; Simultaneous elimination of R 1H R 2H α, β to obtain U c and ΔJ1, m1, ΔJ2, m2, L 11 L 21 L 12 L 22 The relationship between S and S.

4. A combined rotor balancing method, characterized in that: Includes the following steps: The eccentricity angle δ of the combined rotor is obtained; The static imbalance U of the combined rotor is obtained according to the combined rotor imbalance estimation method as described in any one of claims 1 to 3. s Couple imbalance U c ; According to δ, U s The mass and installation position of the static unbalanced counterweight are obtained from the geometric relationship of the first mounting surface used to install the static unbalanced counterweight. According to U c The mass and installation position of the unbalanced counterweight are obtained by considering the rotation direction and the geometry of the second mounting surface used to install the unbalanced counterweight.

5. The combined rotor balancing method as described in claim 4, characterized in that: The first mounting surface is the mating surface of the combined rotor.

6. The combined rotor balancing method as described in claim 5, characterized in that: The steps for obtaining the mass of the statically unbalanced counterweight based on the geometric relationship of the first mounting surface include: The distance r between the mounting position on the first mounting surface and the axis of the combined rotor was measured. According to r, U s The mass of the statically unbalanced counterweight is calculated.

7. The combined rotor balancing method as described in claim 4, characterized in that: The second mounting surface includes the non-joining end face of the first rotor and the non-joining end face of the second rotor.

8. The combined rotor balancing method as described in claim 7, characterized in that: The steps for obtaining the mass of the unbalanced counterweight based on the geometry of the second mounting surface include: The span L between the mounting positions on the non-joined end face of the first rotor and the mounting positions on the non-joined end face of the second rotor was measured. The distance r between the mounting position on the non-joined end face of the first rotor and the axis of the combined rotor was measured. front The distance r between the mounting position on the non-joining end face of the second rotor and the axis of the combined rotor. after ; According to L, r front r after and U c Calculate the mass of the unbalanced counterweight installed on the non-joined end face of the first rotor and the mass of the unbalanced counterweight installed on the non-joined end face of the second rotor.

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