Combined Rotor Balancing Method, Combined Rotor and Computer Readable Storage Medium

Abstract

A combined rotor balancing method, a combined rotor and a computer-readable storage medium. The combined rotor balancing method includes step S4 and step S5. In step S4, balancing fasteners are circumferentially distributed on a distribution circle, and on the distribution circle, from the first intersection point to the second intersection point, the mass of the balancing fasteners gradually increases. In step S5, the theoretical unbalance of the combined rotor is calculated, and the theoretical unbalance is compared with the design limit value: if the theoretical unbalance meets the design limit value, the distribution of the balancing fasteners is determined; otherwise, at least part of the balancing fasteners are replaced, and steps S4 and S5 are re-executed. The combined rotor balancing method distributes the setting of the fasteners on the combined rotor according to the mass of the fasteners, reduces the unbalance of the combined rotor, and does not damage the original balanced state of the unit rotors after being balanced separately.

Description

Technical Field

[0001] The present invention relates to the field of aero-engine assembly, and in particular to a combined rotor balancing method, a combined rotor, and a computer-readable storage medium. Background Art

[0002] During the aero-engine assembly process, the balancing process needs to be carried out on two unit bodies of the high-pressure compressor rotor and the high-pressure turbine rotor respectively. After the balancing, the high-pressure compressor rotor and the high-pressure turbine rotor have a relatively low remaining unbalance. However, when the high-pressure compressor rotor and the high-pressure turbine rotor are connected and assembled into a high-pressure rotor, affected by the combined eccentricity vector, the initial unbalance of the high-pressure rotor is in a relatively high state, and the double-sided unbalance usually reaches about 1000 g·mm (1000 grams times millimeters). If you want to reduce the initial unbalance of the high-pressure rotor, the currently common method is to perform combined balancing on the high-pressure rotor obtained by assembling the high-pressure compressor rotor and the high-pressure turbine rotor, and reconfigure balance weights on the front and rear correction planes of the high-pressure rotor. This method requires additional balancing operations, which not only waste time, but also break the original balance states of the high-pressure compressor rotor and the high-pressure turbine rotor respectively during the combined balancing process, affecting the vibration state analysis during the high-speed operation of the engine. Summary of the Invention

[0003] The purpose of the present invention is to provide a combined rotor balancing method, a combined rotor, and a computer-readable storage medium, which are used to improve the situation that the original balance states of unit rotors are damaged during the combined balancing of the combined rotor.

[0004] A combined rotor balancing method according to one aspect of an embodiment of the present invention, the combined rotor balancing method includes steps S1, S2, S3, S4, and S5. Step S1, obtain the unbalance amount of the combined rotor and the angular phase position where the unbalance amount is located. On the combined rotor, a coordinate system is constructed, with the rotation center of the combined rotor as the origin, one radial direction where the angular phase position is located as the horizontal axis, and the other radial direction perpendicular to the horizontal axis as the vertical axis; Step S2, obtain the distribution circle of the combined rotor, where the center of the distribution circle coincides with the origin of the coordinate system, the distribution circle intersects the horizontal axis, defining a first intersection point and a second intersection point, and the first intersection point is located at the angular phase position; Step S3, obtain a plurality of fasteners and the fastener mass of each fastener, where the fastener masses of the plurality of fasteners follow a normal distribution, and at least some of the fasteners are selected from the plurality of fasteners as balancing fasteners; Step S4, circumferentially distribute the balancing fasteners on the distribution circle. On the distribution circle, from the first intersection point to the second intersection point, the mass of the balancing fasteners gradually increases; Step S5, calculate the theoretical unbalance amount of the combined rotor, and compare the theoretical unbalance amount with the design limit value: if the theoretical unbalance amount meets the design limit value, determine the distribution of the balancing fasteners; otherwise, replace at least some of the balancing fasteners and re-execute steps S4 and S5.

[0005] In one or more embodiments, the normal distribution has an expected value μ and a standard deviation σ, the mass of the balancing fastener at the first intersection point is less than μ - 5σ, and the mass of the balancing fastener at the second intersection point is greater than μ + 5σ.

[0006] In one or more embodiments, replacing at least some of the balancing fasteners includes comparing the difference between the theoretical unbalance amount and the design limit value with a threshold: if the difference is less than the threshold, replace the balancing fastener at the vertical axis of the coordinate system; otherwise, replace the balancing fastener at the horizontal axis of the coordinate system.

[0007] In one or more embodiments, in step S3, the selection of the balancing fasteners adopts equidistant sampling.

[0008] A combined rotor according to another aspect of an embodiment of the present invention, the combined rotor is obtained by the above combined rotor balancing method.

[0009] A computer-readable storage medium according to still another aspect of an embodiment of the present invention, the computer-readable storage medium stores instructions for executing the above combined rotor balancing method.

[0010] The embodiments of the present invention have the following beneficial effects:

[0011] On the basis that the quality of the fasteners meets the design requirements, by borrowing the quality imbalance generated in the fastener processing process, the fasteners are distributed on the combined rotor according to their quality, so as to reduce the unbalance of the combined rotor. At the same time, as the connecting piece between the unit rotors, the distribution of the fasteners to reduce the unbalance of the combined rotor will not damage the original balanced state of the unit rotors after being separately balanced. Brief Description of the Drawings

[0012] The above-mentioned and other features, properties and advantages of the present invention will become more obvious through the following description with reference to the drawings and embodiments, wherein:

[0013] Figure 1 is a schematic structural diagram of a high-pressure rotor;

[0014] Figure 2 is a schematic structural diagram of a high-pressure rotor;

[0015] Figure 3 is a schematic diagram of the combined rotor balancing method;

[0016] Figure 4 is a schematic diagram of the normal distribution curve of the fastener quality;

[0017] Figure 5 is a schematic diagram of the distribution circle of the fasteners;

[0018] Figure 6 is a flowchart of the combined rotor balancing method. Detailed Embodiments

[0019] According to one aspect of the embodiments of the present invention, a combined rotor balancing method is provided. The balancing object of the combined rotor balancing method is described and illustrated by taking the high-pressure rotor 4 as an example. As Figure 1 and Figure 2 shown, in the assembly of an aeroengine, the high-pressure compressor rotor 1 as a unit body is connected to the high-pressure turbine rotor 2 to be assembled into the high-pressure rotor 4 as a combined body. Azimuth terms such as "radial" are referenced to the fastener assembly plane of the high-pressure rotor 4. As used herein, the terms "first" and "second" can be used interchangeably to distinguish one feature from another, and are not intended to indicate that the respective features must be located in the positions shown in the figures in each embodiment.

[0020] Before the high-pressure compressor rotor 1 and the high-pressure turbine rotor 2 are assembled into the high-pressure rotor 4, the high-pressure compressor rotor 1 and the high-pressure turbine rotor 2 respectively complete the balancing process. After the balancing is completed, the high-pressure compressor rotor 1 and the high-pressure turbine rotor 2 have a relatively low remaining unbalance. However, when the high-pressure compressor rotor 1 and the high-pressure turbine rotor 2 are connected and assembled into the high-pressure rotor 4, affected by the combined eccentricity vector, the initial unbalance of the high-pressure rotor 4 is in a relatively high state. The double-sided unbalance usually reaches about 1000 g·mm (1000 grams times millimeters). If you want to reduce the initial unbalance of the high-pressure rotor 4, the commonly used method at present is to perform combined balancing on the high-pressure rotor 4 as a combined body, and reconfigure balance blocks on the front and rear correction planes of the high-pressure rotor 4. This method requires additional balancing operations, which not only wastes time, but also breaks the original balanced state of the high-pressure compressor rotor 1 and the high-pressure turbine rotor 2, which are unit bodies, after separate balancing during the combined balancing process, affecting the vibration state analysis during the high-speed operation of the engine.

[0021] As Figure 6 shown, the combined rotor balancing method for balancing the high-pressure rotor 4 includes step S1 shown in block 11, step S2 shown in block 12, step S3 shown in block 13, step S4 shown in block 14, and step S5 shown in diamond frame 15.

[0022] As Figure 6 In step S1 shown in block 11 in [reference], obtain the unbalance P and the angular phase position A where it is located. Obtain the unbalance P of the high-pressure rotor 4 without assembling the balancing fastener 3 and the angular phase position A where the unbalance P is located, and construct a coordinate system on the high-pressure rotor 4. The coordinate system takes the rotation center of the high-pressure rotor 4 as the origin O, one radial direction where the angular phase position A is located as the horizontal axis X, and the other radial direction perpendicular to the horizontal axis X as the vertical axis Y. The angular phase position A and this coordinate system are shown in Figure 3 in [reference].

[0023] In this embodiment, the unbalance P of the high-pressure rotor 4 and the angular phase position A where the unbalance P is located are obtained by reading from a pre-set database. In another or multiple embodiments, the unbalance P and the angular phase position A where it is located are obtained by measuring with a machine (such as a dynamic balancing tester). In yet another or multiple embodiments, the unbalance P and the angular phase position A where it is located are obtained by manual measurement. In yet another or multiple embodiments, the unbalance P and the angular phase position A where it is located are obtained by other means.

[0024] As Figure 6Step S2 shown in the square box 12, obtaining the distribution circle 5, obtaining the distribution circle 5 of the high-pressure rotor 4, wherein the center of the distribution circle 5 coincides with the origin O of the coordinate system, the distribution circle 5 intersects with the horizontal axis X, obtaining the first intersection point 6 and the second intersection point 7, the first intersection point 6 is located at the angular phase position A, the second intersection point 7 is located at the opposite of the angular phase position A, the first intersection point 6, the second intersection point 7 and the distribution circle 5 are shown in Figure 3 it.

[0025] In this embodiment, the distribution circle 5 is obtained by reading from a pre-set database. In another or multiple embodiments, the distribution circle 5 is obtained by machine measurement. In yet another or multiple embodiments, the distribution circle 5 is obtained by manual measurement. In yet another or multiple embodiments, the distribution circle 5 is obtained by other means.

[0026] As Figure 6 Step S3 shown in the square box 13, obtaining the fastener mass m and selecting the balancing fasteners 3, obtaining a plurality of fasteners and the fastener mass m of each fastener, wherein the fastener masses m of the plurality of fasteners follow a normal distribution N(μ,σ 2 ), the normal distribution N(μ,σ 2 ) has an expected value μ and a standard deviation σ, the normal distribution curve 8 of the normal distribution N(μ, σ 2 ) is shown in Figure 4 , and the probability density function f(m) of the normal distribution N(μ,σ 2 ) is shown as follows:

[0027]

[0028] wherein, π represents the pi, σ represents the standard deviation, μ represents the expected value, m represents the fastener mass, and e represents the natural constant;

[0029] And at least part of the fasteners are selected from the plurality of fasteners as the balancing fasteners 3, and the selection of the balancing fasteners 3 is performed by equidistant sampling.

[0030] In this embodiment, the fastener mass m is obtained by reading from a pre-set database. In another or multiple embodiments, the fastener mass m is obtained by machine measuring the mass of the fasteners. In yet another or multiple embodiments, the fastener mass m is obtained by manually measuring the mass of the fasteners. In yet another or multiple embodiments, the fastener mass m is obtained by other means.

[0031] In this embodiment, the balancing fasteners 3 are selected by equidistant sampling. Specifically, a plurality of fasteners are arranged according to the numerical value of the fastener mass m to obtain an ordered sample, and equidistant sampling is performed from the ordered sample to obtain the balancing fasteners 3. In another or more embodiments, equidistant sampling is performed on an unordered sample containing a plurality of fasteners to obtain the balancing fasteners 3. In still another or more embodiments, the balancing fasteners 3 are selected from a sample containing a plurality of fasteners by simple random sampling. In still another or more embodiments, the balancing fasteners 3 are selected from a sample containing a plurality of fasteners by other means.

[0032] The terms "step S1", "step S2", and "step S3" can be used interchangeably to distinguish one step from another, and are not intended to indicate the order of "step S1", "step S2", and "step S3" in the implementation manner. The order of step S1, step S2, and step S3 in the implementation manner is not limited.

[0033] As Figure 6 In step S4 shown by the square box 14, the distribution of the balancing fasteners 3 on the distribution circle 5 is obtained. As Figure 3 shown, the balancing fasteners 3 are circumferentially distributed on the distribution circle 5 and are distributed according to the normal distribution N(μ,σ 2 ). Specifically, on the distribution circle 5, the fastener mass m of the balancing fastener 3 at the first intersection point 6 is less than μ - 5σ, the fastener mass m of the balancing fastener 3 at the second intersection point 7 is greater than μ + 5σ, the fastener mass m of the balancing fastener 3 at the intersection of the vertical axis Y of the coordinate system and the distribution circle 5 is close to μ, and from the first intersection point 6 to the second intersection point 7, the fastener mass m of the balancing fastener 3 gradually increases, and the distribution of the balancing fasteners 3 can generate a normal distribution curve 8 of the normal distribution N(μ,σ 2 ). The horizontal axis of the normal distribution curve 8 coincides with the horizontal axis X of the coordinate system, and the axis of symmetry of the normal distribution curve 8 is located at the center of the curve and coincides with the vertical axis Y of the coordinate system.

[0034] The angular position A of the unbalance amount P may point to any position on the distribution circle 5. When the angular position A points to the middle position between the installation positions of two adjacent balancing fasteners 3, there are no balancing fasteners 3 at the first intersection point 6 and the second intersection point 7. In this case, the meaning of "the balancing fastener 3 at the first intersection point 6" refers to the balancing fastener 3 adjacent to the first intersection point 6, and the meaning of "the balancing fastener 3 at the second intersection point 7" refers to the balancing fastener 3 adjacent to the second intersection point 7. Similarly, as Figure 3As shown, the intersection of the vertical axis Y of the coordinate system and the distribution circle 5 is at the mid - position between the installation positions of two adjacent balance fasteners 3. In this case, the "balance fastener 3 at the intersection of the vertical axis Y of the coordinate system and the distribution circle 5" means the balance fastener 3 adjacent to the vertical axis Y.

[0035] In this embodiment, the balance fasteners 3 are virtually distributed on the distribution circle 5 by computer software. In another or multiple embodiments, the balancing device physically distributes the balance fasteners 3 on the distribution circle 5 of the high - pressure rotor 4. In yet another or multiple embodiments, the balance fasteners 3 are manually distributed on the distribution circle 5. In yet another or multiple embodiments, the balance fasteners 3 are distributed on the distribution circle 5 by other means.

[0036] As Figure 6 shown in the diamond - shaped box 15 in f step S5, calculate the theoretical unbalance P f and determine whether the theoretical unbalance P s is less than or equal to the design limit value P f . Under the distribution of the balance fasteners 3, calculate the theoretical unbalance P f of the high - pressure rotor 4. The calculation formula of the theoretical unbalance P

[0037]

[0038] is as follows: Among them, n is the total number of balance fasteners 3 on the distribution circle 5, i represents the label of the balance fastener 3 on the distribution circle 5, i = 1, 2, 3,..., n. The position of the balance fastener 3 with label 1 (i.e., i = 1) on the distribution circle 5 is as Figure 5 shown. In Figure 5 , i increases gradually in the clockwise direction. m i represents the fastener mass m of the balance fastener 3 with label i, R is the radius of the distribution circle 5, P is the unbalance of the high - pressure rotor 4 without assembling the fasteners, and A is the angular phase position where the unbalance P is located.

[0039] And compare the theoretical unbalance P f with the design limit value P s :

[0040] If the theoretical unbalance P f is less than or equal to the design limit value P s , then determine the distribution of the balance fasteners 3; otherwise

[0041] replace at least part of the balance fasteners 3 and re - execute step S4 and step S5. Among them, replacing at least part of the balance fasteners 3 includes the difference P between the theoretical unbalance P f and the design limit value P s ​d Compare with threshold P t Compare:

[0042] Difference P d is less than the threshold P t , replace the balance fastener 3 at the vertical axis Y of the coordinate system; otherwise, replace the balance fastener 3 at the horizontal axis X of the coordinate system.

[0043] Re - execute step S5 to calculate the theoretical unbalance P of the high - pressure rotor 4 under the distribution of the replaced balance fastener 3 f , and compare the theoretical unbalance P f with the design limit value P s , the theoretical unbalance P f is less than or equal to the design limit value P s , then determine the distribution of the replaced balance fastener 3; otherwise

[0044] Re - execute step S4 and step S5 until in step S5, the theoretical unbalance P f is less than or equal to the design limit value P s , and determine the distribution of the replaced balance fastener 3.

[0045] As Figure 3 shown, the intersection of the vertical axis Y of the coordinate system and the distribution circle 5 may be in the middle of the installation positions of two adjacent balance fasteners 3. In this case, the meaning of "the balance fastener 3 at the vertical axis Y" refers to the balance fastener 3 adjacent to the intersection of the vertical axis Y and the distribution circle 5. Similarly, the intersection of the horizontal axis X of the coordinate system and the distribution circle 5 may be in the middle of the installation positions of two adjacent balance fasteners 3. In this case, the meaning of "the balance fastener 3 at the horizontal axis X" refers to the balance fastener 3 adjacent to the intersection of the horizontal axis X and the distribution circle 5.

[0046] In this embodiment, the calculation of the theoretical unbalance P f and its comparison with the design limit value P s are completed by computer software. In another or multiple embodiments, the calculation of the theoretical unbalance P f and its comparison with the design limit value P s are completed by manual calculation and comparison. In yet another or multiple embodiments, the calculation of the theoretical unbalance P f and its comparison with the design limit value P s are completed by other means.

[0047] In this embodiment, the design limit value P s is the upper limit value allowed by the design, and the theoretical unbalance P f is less than or equal to the design limit value P sTo determine the judgment conditions for the balance fasteners 3. In another or multiple embodiments, a design limit value P s is represented by a safety factor, and the coefficient calculated from the theoretical unbalance P f is greater than the design limit value P s representing the safety factor, then the distribution of the balance fasteners 3 is determined. In yet another or multiple embodiments, the design limit value P s adopts other forms of expression, and if the theoretical unbalance P f and the design limit value P s satisfy a specific relationship, then the distribution of the balance fasteners 3 is determined.

[0048] In this embodiment, the balance object of the combined rotor balance method is described and illustrated by taking the high-pressure rotor 4 as an example. The balance object of the combined rotor balance method is not limited to the high-pressure rotor 4. In another or multiple embodiments, after making appropriate adaptive adjustments, the balance object of the combined rotor balance method is other combined rotors assembled from unit bodies.

[0049] According to another aspect of the embodiments of the present invention, there is provided a high-pressure rotor 4, which is obtained by the above-mentioned combined rotor balance method, as Figure 1 and Figure 2 shown. The high-pressure rotor 4 includes a high-pressure compressor rotor 1 and a high-pressure turbine rotor 2 as unit bodies, and balance fasteners 3 as connecting members. The high-pressure compressor rotor 1 and the high-pressure turbine rotor 2 are connected to each other through the balance fasteners 3 and assembled into the high-pressure rotor 4 as a combined body. The distribution of the balance fasteners 3 on the high-pressure rotor 4 is obtained by the above-mentioned combined rotor balance method, as Figure 6 shown, including step S1 shown in block 11, step S2 shown in block 12, step S3 shown in block 13, step S4 shown in block 14, and step S5 shown in diamond frame 15.

[0050] As Figure 6 in step S1 shown in block 11, the unbalance P and the angular phase position A where it is located are obtained. The unbalance P of the high-pressure rotor 4 without assembling the balance fasteners 3 and the angular phase position A where the unbalance P is located are obtained, and a coordinate system is constructed on the high-pressure rotor 4. The coordinate system takes the rotation center of the high-pressure rotor 4 as the origin O, one radial where the angular phase position A is located as the horizontal axis X, and the other radial perpendicular to the horizontal axis X as the vertical axis Y. The angular phase position A and this coordinate system are shown in Figure 3 .

[0051] In this embodiment, the unbalance amount P of the high-pressure rotor 4 and the angular phase position A where the unbalance amount P is located are obtained by reading from a pre-set database. In another or multiple embodiments, the unbalance amount P and the angular phase position A are obtained by measuring with a machine (such as a dynamic balancing tester). In yet another or multiple embodiments, the unbalance amount P and the angular phase position A are obtained by manual measurement. In yet another or multiple embodiments, the unbalance amount P and the angular phase position A are obtained by other means.

[0052] As Figure 6 In step S2 shown in the square box 12, the distribution circle 5 is obtained, and the distribution circle 5 of the high-pressure rotor 4 is obtained. Wherein, the center of the distribution circle 5 coincides with the origin O of the coordinate system, and the distribution circle 5 intersects the horizontal axis X to obtain a first intersection point 6 and a second intersection point 7. The first intersection point 6 is located at the angular phase position A, and the second intersection point 7 is located at the opposite of the angular phase position A. The first intersection point 6, the second intersection point 7 and the distribution circle 5 are shown in Figure 3 shown.

[0053] In this embodiment, the distribution circle 5 is obtained by reading from a pre-set database. In another or multiple embodiments, the distribution circle 5 is obtained by measuring with a machine. In yet another or multiple embodiments, the distribution circle 5 is obtained by manual measurement. In yet another or multiple embodiments, the distribution circle 5 is obtained by other means.

[0054] As Figure 6 In step S3 shown in the square box 13, the mass m of the fasteners is obtained and the balancing fasteners 3 are selected. The masses m of multiple fasteners and each fastener are obtained. Among them, the masses m of the multiple fasteners follow a normal distribution N(μ, σ 2 ), the normal distribution N(μ, σ 2 ) has an expected value μ and a standard deviation σ. The normal distribution curve 8 of the normal distribution N(μ, σ 2 ) is as shown in Figure 4 shown. The probability density function f(m) of the normal distribution N(μ, σ 2 ) is shown as follows:

[0055]

[0056] Wherein, π represents the pi, σ represents the standard deviation, μ represents the expected value, m represents the mass of the fastener, and e represents the natural constant;

[0057] And at least part of the fasteners are selected from the multiple fasteners as the balancing fasteners 3, and the selection of the balancing fasteners 3 adopts equidistant sampling.

[0058] In this embodiment, the mass m of the fastener is obtained by reading from a pre-set database. In another or multiple other embodiments, the mass m of the fastener is obtained by a machine measuring the mass of the fastener. In yet another or multiple other embodiments, the mass m of the fastener is obtained by a human measuring the mass of the fastener. In yet another or multiple other embodiments, the mass m of the fastener is obtained by other means.

[0059] In this embodiment, the balanced fasteners 3 are selected by equidistant sampling. Specifically, a plurality of fasteners are arranged according to the numerical values of the mass m of the fasteners to obtain an ordered sample, and equidistant sampling is performed from this ordered sample to obtain the balanced fasteners 3. In another or multiple other embodiments, equidistant sampling is performed on an unordered sample containing a plurality of fasteners to obtain the balanced fasteners 3. In yet another or multiple other embodiments, the balanced fasteners 3 are selected from a sample containing a plurality of fasteners by simple random sampling. In yet another or multiple other embodiments, the balanced fasteners 3 are selected from a sample containing a plurality of fasteners by other means.

[0060] The terms "step S1", "step S2" and "step S3" can be used interchangeably to distinguish one step from another, and are not intended to represent the order of "step S1", "step S2" and "step S3" in the implementation manner. The order of step S1, step S2 and step S3 in the implementation manner is not restricted.

[0061] As Figure 6 shown in the square box 14 of step S4, the distribution of the balanced fasteners 3 on the distribution circle 5 is obtained. As Figure 3 shown, the balanced fasteners 3 are circumferentially distributed on the distribution circle 5 and are distributed according to the normal distribution N(μ, σ 2 ). Specifically, on the distribution circle 5, the mass m of the balanced fastener 3 at the first intersection point 6 is less than μ - 5σ, the mass m of the balanced fastener 3 at the second intersection point 7 is greater than μ + 5σ, the mass m of the balanced fastener 3 at the intersection point of the vertical axis Y of the coordinate system and the distribution circle 5 is close to μ. From the first intersection point 6 to the second intersection point 7, the mass m of the balanced fasteners 3 gradually increases, and the distribution of the balanced fasteners 3 can generate a normal distribution curve 8 of the normal distribution N(μ, σ 2 ). The horizontal axis of this normal distribution curve 8 coincides with the horizontal axis X of the coordinate system, and the axis of symmetry of the normal distribution curve 8 is located in the center of the curve and coincides with the vertical axis Y of the coordinate system.

[0062] The angular phase position A of the unbalance P may point to any position on the distribution circle 5. When the angular phase position A points to the middle position between the installation positions of two adjacent balance fasteners 3, there are no balance fasteners 3 at the first intersection point 6 and the second intersection point 7. In this case, the meaning of the "balance fastener 3 at the first intersection point 6" refers to the balance fastener 3 adjacent to the first intersection point 6, and the meaning of the "balance fastener 3 at the second intersection point 7" refers to the balance fastener 3 adjacent to the second intersection point 7. Similarly, as Figure 3 shown, the intersection point of the vertical axis Y of the coordinate system and the distribution circle 5 is at the middle position between the installation positions of two adjacent balance fasteners 3. In this case, the meaning of the "balance fastener 3 at the intersection point of the vertical axis Y of the coordinate system and the distribution circle 5" is the balance fastener 3 adjacent to the vertical axis Y.

[0063] In this embodiment, the balance fasteners 3 are virtually distributed on the distribution circle 5 by computer software. In another or multiple embodiments, the balancing device physically distributes the balance fasteners 3 on the distribution circle 5 of the high-pressure rotor 4. In yet another or multiple embodiments, the balance fasteners 3 are manually distributed on the distribution circle 5. In yet another or multiple embodiments, the balance fasteners 3 are distributed on the distribution circle 5 by other means.

[0064] As Figure 6 shown in the diamond box 15 in, calculate the theoretical unbalance P f and determine whether the theoretical unbalance P f is less than or equal to the design limit value P s . Under the distribution of the balance fasteners 3, calculate the theoretical unbalance P f of the high-pressure rotor 4. The calculation formula of the theoretical unbalance P f is as follows:

[0065]

[0066] where n is the total number of balance fasteners 3 on the distribution circle 5, i represents the label of the balance fastener 3 on the distribution circle 5, i = 1, 2, 3,..., n. The position of the balance fastener 3 with label 1 (i.e., i = 1) on the distribution circle 5 is as Figure 5 shown. In Figure 5 , i increases gradually in the clockwise direction, m i represents the fastener mass m of the balance fastener 3 with label i, R is the radius of the distribution circle 5, P is the unbalance of the high-pressure rotor 4 without assembling the fasteners, and A is the angular phase position where the unbalance P is located;

[0067] And compare the theoretical unbalance P f with the design limit value P s :

[0068] Theoretical unbalance P f Less than or equal to the design limit value P s , then determine the distribution of the balancing fasteners 3; otherwise

[0069] Replace at least part of the balancing fasteners 3, and re - execute steps S4 and S5. Among them, replacing at least part of the balancing fasteners 3 includes comparing the difference P f between the theoretical unbalance P s and the design limit value P d with the threshold P t :

[0070] The difference P d is less than the threshold P t , replace the balancing fasteners 3 at the vertical axis Y of the coordinate system; otherwise replace the balancing fasteners 3 at the horizontal axis X of the coordinate system.

[0071] The re - executed step S5 calculates the theoretical unbalance P f of the high - pressure rotor 4 under the distribution of the replaced balancing fasteners 3, and compares the theoretical unbalance P f with the design limit value P s . If the theoretical unbalance P f is less than or equal to the design limit value P s , then determine the distribution of the replaced balancing fasteners 3; otherwise

[0072] Re - execute steps S4 and S5 until in step S5, the theoretical unbalance P f is less than or equal to the design limit value P s , and determine the distribution of the replaced balancing fasteners 3.

[0073] As Figure 3 shown, the intersection of the vertical axis Y of the coordinate system and the distribution circle 5 may be in the middle of the installation positions of two adjacent balancing fasteners 3. In this case, the meaning of "the balancing fasteners 3 at the vertical axis Y" refers to the balancing fasteners 3 adjacent to the intersection of the vertical axis Y and the distribution circle 5. Similarly, the intersection of the horizontal axis X of the coordinate system and the distribution circle 5 may be in the middle of the installation positions of two adjacent balancing fasteners 3. In this case, the meaning of "the balancing fasteners 3 at the horizontal axis X" refers to the balancing fasteners 3 adjacent to the intersection of the horizontal axis X and the distribution circle 5.

[0074] In this embodiment, the calculation of the theoretical unbalance P f and its comparison with the design limit value P s are completed by computer software. In another or multiple embodiments, the calculation of the theoretical unbalance P f and its comparison with the design limit value P sThe comparison is completed by manual calculation and comparison. In yet another or multiple embodiments, the theoretical unbalance P f is calculated and its comparison with the design limit value P s is completed by other means.

[0075] In this embodiment, the design limit value P s is the upper limit value allowed by the design. The theoretical unbalance P f being less than or equal to the design limit value P s is the judgment condition for determining the balancing fasteners 3. In another or multiple embodiments, the design limit value P s is represented by a safety factor. The coefficient calculated from the theoretical unbalance P f being greater than the safety factor represented by the design limit value P s determines the distribution of the balancing fasteners 3. In yet another or multiple embodiments, the design limit value P s adopts other forms of representation. The theoretical unbalance P f and the design limit value P s satisfying a specific relationship determines the distribution of the balancing fasteners 3.

[0076] In this embodiment, the high-pressure rotor 4 is obtained by the above-described combined rotor balancing method. In another or multiple embodiments, a combined rotor is obtained by the above-described combined rotor balancing method. The combined rotor includes unit rotors as unit bodies and balancing fasteners 3 as connectors. The unit rotors are connected to each other by the balancing fasteners 3 and assembled into a combined rotor as a combined body. The distribution of the balancing fasteners 3 on the combined rotor is obtained by the above-described combined rotor balancing method, specifically including the above steps S1, S2, S3, S4, and S5.

[0077] According to yet another aspect of the embodiments of the present invention, there is provided a computer-readable storage medium storing instructions for executing the above-described combined rotor balancing method, as Figure 6 shown, specifically including step S1 shown in block 11, step S2 shown in block 12, step S3 shown in block 13, step S4 shown in block 14, and step S5 shown in diamond box 15.

[0078] As Figure 6 in step S1 shown in block 11 therein, the unbalance P and the angular phase position A where it is located are obtained. The unbalance P of the high-pressure rotor 4 and the angular phase position A where the unbalance P is located are obtained in the case where the balancing fasteners 3 are not assembled on the high-pressure rotor 4. And on the high-pressure rotor 4, a coordinate system is constructed. The coordinate system takes the rotation center of the high-pressure rotor 4 as the origin O, takes one radial where the angular phase position A is located as the horizontal axis X, and takes another radial perpendicular to the horizontal axis X as the vertical axis Y. The angular phase position A and this coordinate system are inFigure 3 is shown. In this embodiment, the unbalance amount P of the high-pressure rotor 4 and the angular phase position A where the unbalance amount P is located are obtained by reading from a pre-set database.

[0079] As Figure 6 shown in step S2 in the box 12, the distribution circle 5 is obtained, and the distribution circle 5 of the high-pressure rotor 4 is obtained. Among them, the center of the distribution circle 5 coincides with the origin O of the coordinate system, and the distribution circle 5 intersects the horizontal axis X to obtain a first intersection point 6 and a second intersection point 7. The first intersection point 6 is located at the angular phase position A, and the second intersection point 7 is located at the opposite of the angular phase position A. The first intersection point 6, the second intersection point 7, and the distribution circle 5 are shown in Figure 3 In this embodiment, the distribution circle 5 is obtained by reading from a pre-set database.

[0080] As Figure 6 shown in step S3 in the box 13, the fastener mass m is obtained and the balancing fasteners 3 are selected. The masses m of multiple fasteners and each fastener are obtained. Among them, the masses m of the multiple fasteners follow a normal distribution N(μ, σ 2 ), the normal distribution N(μ, σ 2 ) has an expected value μ and a standard deviation σ, and the normal distribution curve 8 of the normal distribution N(μ, σ 2 ) is shown in Figure 4 The probability density function f(m) of the normal distribution N(μ, σ 2 ) is shown as follows:

[0081]

[0082] where π represents the pi, σ represents the standard deviation, μ represents the expected value, m represents the fastener mass, and e represents the natural constant;

[0083] And at least some of the fasteners are selected from the multiple fasteners as the balancing fasteners 3, and the selection of the balancing fasteners 3 adopts equidistant sampling.

[0084] In this embodiment, the fastener mass m is obtained by reading from a pre-set database.

[0085] In this embodiment, the balancing fasteners 3 are selected by equidistant sampling. Specifically, a plurality of fasteners are arranged according to the numerical value of the fastener mass m to obtain an ordered sample, and equidistant sampling is performed from the ordered sample to obtain the balancing fasteners 3. In another or more embodiments, equidistant sampling is performed on an unordered sample containing a plurality of fasteners to obtain the balancing fasteners 3. In yet another or more embodiments, the balancing fasteners 3 are selected from a sample containing a plurality of fasteners by simple random sampling. In yet another or more embodiments, the balancing fasteners 3 are selected from a sample containing a plurality of fasteners by other means.

[0086] The terms "step S1", "step S2" and "step S3" can be used interchangeably to distinguish one step from another, and are not intended to represent the order of "step S1", "step S2" and "step S3" in the implementation manner. The order of step S1, step S2 and step S3 in the implementation manner is not limited.

[0087] As Figure 6 In step S4 shown in the square box 14, the distribution of the balancing fasteners 3 on the distribution circle 5 is obtained. As Figure 3 shown, the balancing fasteners 3 are circumferentially distributed on the distribution circle 5 and are distributed according to the normal distribution N(μ, σ 2 ). Specifically, on the distribution circle 5, the fastener mass m of the balancing fastener 3 at the first intersection point 6 is less than μ - 5σ, the fastener mass m of the balancing fastener 3 at the second intersection point 7 is greater than μ + 5σ, the fastener mass m of the balancing fastener 3 at the intersection of the vertical axis Y of the coordinate system and the distribution circle 5 is close to μ. From the first intersection point 6 to the second intersection point 7, the fastener mass m of the balancing fasteners 3 gradually increases, and the distribution of the balancing fasteners 3 can generate a normal distribution curve 8 of the normal distribution N(μ, σ 2 ). The horizontal axis of the normal distribution curve 8 coincides with the horizontal axis X of the coordinate system, and the axis of symmetry of the normal distribution curve 8 is located in the center of the curve and coincides with the vertical axis Y of the coordinate system. In this embodiment, the balancing fasteners 3 are virtually distributed on the distribution circle 5 by computer software.

[0088] The angular phase position A of the unbalance amount P may point to any position on the distribution circle 5. When the angular phase position A points to the middle position between the installation positions of two adjacent balancing fasteners 3, there are no balancing fasteners 3 at the first intersection point 6 and the second intersection point 7. In this case, the meaning of the "balancing fastener 3 at the first intersection point 6" refers to the balancing fastener 3 adjacent to the first intersection point 6, and the meaning of the "balancing fastener 3 at the second intersection point 7" refers to the balancing fastener 3 adjacent to the second intersection point 7. Similarly, as Figure 3As shown, the intersection of the vertical axis Y of the coordinate system and the distribution circle 5 is at the mid - position between the installation positions of two adjacent balance fasteners 3. In this case, the "balance fastener 3 at the intersection of the vertical axis Y of the coordinate system and the distribution circle 5" means the balance fastener 3 adjacent to the vertical axis Y.

[0089] As Figure 6 shown in step S5 of the diamond - shaped frame 15, calculate the theoretical unbalance P f and determine whether the theoretical unbalance P f is less than or equal to the design limit value P s . Under the distribution of the balance fasteners 3, calculate the theoretical unbalance P of the high - pressure rotor 4 f . The calculation formula of the theoretical unbalance P f is as follows:

[0090]

[0091] where n is the total number of balance fasteners 3 on the distribution circle 5, i represents the label of the balance fastener 3 on the distribution circle 5, i = 1, 2, 3, …, n. The position of the balance fastener 3 with label 1 (i.e., i = 1) on the distribution circle 5 is as Figure 5 shown. In Figure 5 , i increases gradually in the clockwise direction, m i represents the fastener mass m of the balance fastener 3 with label i, R is the radius of the distribution circle 5, P is the unbalance of the high - pressure rotor 4 without assembling fasteners, and A is the angular phase position where the unbalance P is located;

[0092] And compare the theoretical unbalance P f with the design limit value P s :

[0093] If the theoretical unbalance P f is less than or equal to the design limit value P s , then determine the distribution of the balance fasteners 3; otherwise

[0094] replace at least part of the balance fasteners 3 and re - execute step S4 and step S5. Among them, replacing at least part of the balance fasteners 3 includes comparing the difference P f between the theoretical unbalance P s and the design limit value P d with the threshold value P t :

[0095] If the difference P d is less than the threshold value P t , replace the balance fastener 3 at the vertical axis Y of the coordinate system; otherwise replace the balance fastener 3 at the horizontal axis X of the coordinate system.

[0096] The re - executed step S5 calculates the theoretical unbalance P of the high - pressure rotor 4 under the distribution of the balance fasteners 3 after replacement. f , and compares the theoretical unbalance P f with the design limit value P s . If the theoretical unbalance P f is less than or equal to the design limit value P s , then determine the distribution of the balance fasteners 3 after replacement; otherwise

[0097] re - execute step S4 and step S5 until in step S5, the theoretical unbalance P f is less than or equal to the design limit value P s , and determine the distribution of the balance fasteners 3 after replacement.

[0098] As Figure 3 shown, the intersection of the vertical axis Y of the coordinate system and the distribution circle 5 may be in the middle position between the installation positions of two adjacent balance fasteners 3. In this case, the meaning of "the balance fastener 3 at the vertical axis Y" refers to the balance fastener 3 adjacent to the intersection of the vertical axis Y and the distribution circle 5. Similarly, the intersection of the horizontal axis X of the coordinate system and the distribution circle 5 may be in the middle position between the installation positions of two adjacent balance fasteners 3. In this case, the meaning of "the balance fastener 3 at the horizontal axis X" refers to the balance fastener 3 adjacent to the intersection of the horizontal axis X and the distribution circle 5.

[0099] In this embodiment, the calculation of the theoretical unbalance P f and its comparison with the design limit value P s are completed by computer software.

[0100] In this embodiment, the design limit value P s is the upper limit value allowed by the design. The fact that the theoretical unbalance P f is less than or equal to the design limit value P s is the judgment condition for determining the balance fasteners 3. In another or multiple embodiments, the design limit value P s is represented by a safety factor. If the coefficient calculated from the theoretical unbalance P f is greater than the safety factor represented by the design limit value P s , then determine the distribution of the balance fasteners 3. In yet another or multiple embodiments, the design limit value P s adopts other forms of expression. If the theoretical unbalance P f and the design limit value P s satisfy a specific relationship, then determine the distribution of the balance fasteners 3.

[0101] In this embodiment, the balancing object of the combined rotor balancing method executed by the instructions stored in the computer-readable storage medium is described and illustrated by taking the high-pressure rotor 4 as an example. The balancing object of the combined rotor balancing method is not limited to the high-pressure rotor 4. In another embodiment or multiple embodiments, after making appropriate adaptive adjustments, the balancing object of the combined rotor balancing method is other combined rotors assembled from unit bodies.

[0102] Although the present invention is disclosed as above with embodiments, it is not intended to limit the present invention. Any person skilled in the art can make possible changes and modifications without departing from the spirit and scope of the present invention.

Claims

1. A combined rotor balancing method, characterized in that, Including: Step S1: Obtain the unbalance amount of the combined rotor and the angular phase position where the unbalance amount is located. On the combined rotor, construct a coordinate system with the rotation center of the combined rotor as the origin, one radial direction where the angular phase position is located as the horizontal axis, and another radial direction perpendicular to the horizontal axis as the vertical axis. Step S2: Obtain the distribution circle of the combined rotor. The center of the distribution circle coincides with the origin of the coordinate system. The distribution circle intersects with the horizontal axis, defining a first intersection point and a second intersection point. The first intersection point is located at the angular phase position. Step S3: Obtain a plurality of fasteners and the mass of each fastener. The masses of the plurality of fasteners follow a normal distribution. Select at least some of the fasteners from the plurality of fasteners as balance fasteners. Step S4: Circumferentially distribute the balance fasteners on the distribution circle. On the distribution circle, from the first intersection point to the second intersection point, the mass of the balance fasteners gradually increases. Step S5: Calculate the theoretical unbalance amount of the combined rotor and compare the theoretical unbalance amount with the design limit value. If the theoretical unbalance amount meets the design limit value, determine the distribution of the balance fasteners; otherwise Replace at least some of the balance fasteners and re - execute Step S4 and Step S5.

2. The combined rotor balancing method according to claim 1, wherein, The normal distribution has an expected value μ and a standard deviation σ. The mass of the balance fastener at the first intersection point is less than μ - 5σ, and the mass of the balance fastener at the second intersection point is greater than μ + 5σ.

3. The combined rotor balancing method according to claim 1, wherein, The replacing at least some of the balance fasteners includes comparing the difference between the theoretical unbalance amount and the design limit value with a threshold. If the difference is less than the threshold, replace the balance fasteners at the vertical axis of the coordinate system; otherwise Replace the balance fasteners at the horizontal axis of the coordinate system.

4. The combined rotor balancing method according to claim 1, wherein, In Step S3, the selection of the balance fasteners adopts equidistant sampling.

5. A combined rotor, characterized in that The combined rotor is obtained by the combined rotor balancing method according to any one of claims 1 to 4.

6. A computer-readable storage medium, characterized in that, The computer - readable storage medium stores instructions for executing the combined rotor balancing method according to any one of claims 1 to 4.

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