CN116796514A - Aeroengine rotor unbalance stacking method based on five-offset shaft diameter bidirectional measurement model - Google Patents

Aeroengine rotor unbalance stacking method based on five-offset shaft diameter bidirectional measurement model Download PDF

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Publication number
CN116796514A
CN116796514A CN202310613756.2A CN202310613756A CN116796514A CN 116796514 A CN116796514 A CN 116796514A CN 202310613756 A CN202310613756 A CN 202310613756A CN 116796514 A CN116796514 A CN 116796514A
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error
rotor
offset
measuring head
actual
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刘永猛
郝志勇
谭久彬
孙传智
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Harbin Institute of Technology
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Harbin Institute of Technology
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Priority to CN202310613756.2A priority Critical patent/CN116796514A/en
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M1/00Testing static or dynamic balance of machines or structures
    • G01M1/14Determining imbalance
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00Details relating to CAD techniques
    • G06F2111/10Numerical modelling

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  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • Testing Of Balance (AREA)

Abstract

The application relates to an aeroengine rotor unbalance stacking method based on a five-offset shaft diameter bidirectional measurement model. The application relates to the technical field of unbalance measurement, which is used for measuring eccentric errors and determining an actual axial sampling angle offset table; the error is coupled with the offset error, so that the sampling angle is offset, and the axial actual angle offset is determined; determining the axial and radial errors of the radius of the measuring head according to the introduced radius errors of the measuring head; the measured geometric axis cannot coincide with the measured rotation axis, a tilt error is introduced, the tilt error causes the unbalance amount to be offset, and the tilt error is determined; the inclination error of the measuring head support rod enables the error of the measuring head radius to influence the measurement of coaxiality, and a final axial profile measurement model and an actual sampling angle are determined; and establishing a bidirectional measuring model based on the shaft diameter to obtain accurate profile data of the rotor, and obtaining the unbalance amount of each stage of rotor based on the accurate profile data of the rotor.

Description

Aeroengine rotor unbalance stacking method based on five-offset shaft diameter bidirectional measurement model
Technical Field
The application relates to the technical field of unbalance measurement, in particular to an aeroengine rotor unbalance stacking method based on a five-offset shaft diameter bidirectional measurement model.
Background
An aeroengine is called as an 'aircraft heart', a core engine is used as an important constituent unit of the aeroengine, and due to machining errors, assembly errors and the like, the center of mass of a rotor of the core engine deviates from an ideal axis, and unbalanced exciting force with the magnitude proportional to the square of the rotating speed can be generated in a rotating state and periodically acts on the rotor to cause vibration of the aeroengine. The current method for reducing the unbalanced excitation force is mainly realized indirectly by optimizing parameters such as unbalance amount and the like. Therefore, the measurement of the unbalance amount becomes a primary task for eliminating the unbalance exciting force.
In the existing contact unbalance measurement method, the unbalance measurement inaccuracy problem is caused by five system error couplings of eccentric error, measuring head offset error, measuring head radius error, measuring head supporting rod inclination error and inclination error in a device system, and an unbalance measurement model considering the system error of a measurement device needs to be provided, so that a theoretical basis is provided for subsequent error separation.
Disclosure of Invention
The application provides an aeroengine rotor unbalance stacking method based on a five-offset shaft diameter bidirectional measurement model, which aims to overcome the defects of the prior art.
It is noted that relational terms such as first and second, and the like are used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Moreover, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus.
The application provides an aeroengine rotor unbalance stacking method based on a five-offset shaft diameter bidirectional measurement model, which provides the following technical scheme:
an aircraft engine rotor unbalance stacking method based on a five-offset shaft diameter bidirectional measurement model, the method comprising the following steps:
step 1: measuring an eccentric error and determining an actual axial sampling angle offset;
step 2: the error is coupled with the offset error, so that the sampling angle is offset, and the axial actual angle offset is determined;
step 3: determining the axial and radial errors of the radius of the measuring head according to the introduced radius errors of the measuring head;
step 4: the measured geometric axis cannot coincide with the measured rotation axis, a tilt error is introduced, the tilt error causes the unbalance amount to be offset, and the tilt error is determined;
step 5: the inclination error of the measuring head support rod enables the error of the measuring head radius to influence the measurement of coaxiality, and a final axial profile measurement model and an actual sampling angle are determined;
step 6: and establishing a bidirectional measuring model based on the shaft diameter to obtain accurate profile data of the rotor, and obtaining the unbalance amount of each stage of rotor based on the accurate profile data of the rotor.
Preferably, the step 1 specifically includes:
the machining error of the self-assembly surface causes that the geometric center is in a non-ideal position, meanwhile, the axis of the measuring device and the axis of the turntable cannot be adjusted to an absolute superposition state, an eccentric error exists during measurement, the eccentric error causes the sampling angle to deviate during measurement, and the actual axial sampling angle deviation is represented by the following formula:
the actual rotor runout measurement is represented by:
the actual rotor radial sampling angle offset is expressed by:
wherein ,pj Is the eccentric amount alpha j For corresponding eccentric angle r 0j For axial fitting radius, r' 0j Radius, η 'for radial fit' ij For axial actual sampling angle, η ij For an ideal axial sampling angle phi ij Is radial ideal sampling angle phi' ij For radial actual sampling angle Δl ij Is the surface machining error.
Preferably, the step 2 specifically includes:
in the measuring process, the measuring direction of the sensor cannot coincide with the sampling direction, a sensor side head offset error is introduced, the error is coupled with the offset error, the sampling angle is offset, and the axial actual angle offset is expressed by the following formula:
Δη ij =sin -1 ((m j +p j sin(η ijj ))/r 0j )
wherein ,mj For measuring head offset, O 2j An instantaneous center of rotation resulting from the stylus deflection;
the actual rotor runout measurement is represented by:
preferably, the step 3 specifically includes:
the measuring head cannot be processed into a non-dimensional ideal point, a measuring head radius error is introduced, r is the measuring head radius, during actual measurement, the eccentricity and inclination system error and the measuring head radius are mutually influenced, and the measuring head radius is expressed by the following formula:
V=r
under ideal conditions, the measuring head support rod is parallel to the vertical direction, the contact direction of the measuring head and the measured piece is the horizontal direction, the contact direction is difficult to keep horizontal due to the mechanical quick processing error and improper contact force adjustment, the measurement error is introduced, the jitter error appears on the surface of the measurement point, and the error offset is represented by the following formula:
wherein ,for the inclination angle of the probe support rod, AA is the ideal contact direction of the probe and the measured piece, and BB is the actual contact direction.
Preferably, the step 4 specifically includes:
the measured geometric axis cannot coincide with the measured rotation axis, a tilt error is introduced, the tilt error causes the unbalance amount to be offset, and the tilt error is expressed by the following formula:
wherein ,r0 Is the sampling radius, g is the geometrical axis tilt angle, b j Is the angle between the projection direction of the geometric axis on the measuring plane and the initial measuring direction.
Preferably, the step 5 specifically includes:
the measuring head error compensation of the sensor, the inclination error of the measuring head supporting rod still enables the measuring head radius error to influence the coaxiality measurement, and the final axial profile measuring model and the actual sampling angle are represented by the following formula:
the radial profile measurement model combining the eccentric error, the gauge head offset error, the gauge head radius error and the inclination error in the measurement device and the actual sampling angle are expressed by the following formula:
preferably, the step 6 specifically includes:
based on a shaft diameter bidirectional measurement model, accurate profile data of a rotor are obtained, unbalance of each level of rotor is obtained based on the accurate profile data of the rotor, each level of rotor is mutually coupled with each other through a contact surface, the unbalance of the multi-level rotor after stacking is analyzed according to error transfer, assembly errors of clearance rotors are composed of positioning and orientation errors, the positioning errors are determined through a translation matrix, the orientation errors are determined through a rotation matrix, the multi-level rotor is assembled to accumulate an eccentric error relation, and an n-th level rotor accumulated eccentric error expression after assembly is obtained by:
wherein ,Trari Tra is the transformation matrix between the joint surfaces of two-stage rotors Zi Tradle which is an ideal circle center of a rotor is a translation transformation matrix of gap eccentricity of a rotor i reference surface, tradzi is an eccentric translation transformation matrix caused by working errors and is a rotation transformation matrix from the rotor i reference surface to the rotation center of an assembly surface, and Rotxi is a rotation matrix of an ith rotor reference surface around an X axis; rotyi is the ith level transitionA rotation matrix of the sub-datum plane about the Y-axis; qi is an ideal position vector of the circle center of the assembling surface of the ith rotor; dQi is a machining error vector of the circle center position of the assembling surface of the ith rotor; dQ' i is the i-th stage rotor clearance eccentric position vector; rotri is the rotation matrix of the ith stage rotor around the Z axis;
determining the center of mass eccentric position of the push-out rotor:
after the n-stage rotor is assembled, the unbalance amount of the n-stage rotor is as follows:
m n is the mass of the nth stage rotor.
A rotor imbalance stacking apparatus based on high-speed slewing equipment, the apparatus comprising:
the eccentric error measurement module is used for measuring eccentric errors and determining an actual axial sampling angle offset table;
the error coupling module is used for coupling the error with the offset error to cause the sampling angle to be offset and determining the axial actual angle offset;
the measuring head radius error module is used for determining the axial and radial errors of the measuring head radius according to the introduced measuring head radius error;
the inclination error module is used for introducing inclination error according to the fact that the measured geometric axis cannot coincide with the measured rotation axis, and determining inclination error when the unbalance amount is offset due to the inclination error;
the axial profile measurement model module is used for influencing the measurement of coaxiality by the error of the radius of the measuring head according to the inclination error of the measuring head supporting rod and determining a final axial profile measurement model and an actual sampling angle;
and the shaft diameter bidirectional measurement model module is used for establishing a shaft diameter bidirectional measurement model to obtain accurate profile data of the rotor, and the unbalance of each stage of rotor can be obtained based on the accurate profile data of the rotor.
A computer readable storage medium having stored thereon a computer program for execution by a processor for implementing an aircraft engine rotor imbalance stacking method as based on a five offset shaft diameter bi-directional measurement model.
A computer device comprising a memory and a processor, the memory having a computer program stored therein, the processor executing an aircraft engine rotor imbalance stacking method according to a five offset shaft diameter bi-directional measurement model when the processor runs the computer program stored in the memory.
The application has the following beneficial effects:
aiming at the problem that five systematic errors of eccentric errors, measuring head offset errors, measuring head radius errors and inclination errors in a measuring device are coupled to cause unbalance measurement of the measuring device, the application provides a corresponding five-systematic error contour measuring model, and on the basis of the accurate contour measuring model, the assembly errors and error propagation rules of a rotor are analyzed to obtain the unbalance of the rotor of the last stage, and finally, the systematic errors can be eliminated and the unbalance can be reduced by an error tracing mode.
Drawings
In order to more clearly illustrate the embodiments of the present application or the technical solutions in the prior art, the drawings that are needed in the description of the embodiments or the prior art will be briefly described, and it is obvious that the drawings in the description below are some embodiments of the present application, and other drawings can be obtained according to the drawings without inventive effort for a person skilled in the art.
FIG. 1 is a schematic diagram of eccentricity errors;
FIG. 2 is a schematic diagram of a stylus offset error;
FIG. 3 is a schematic diagram of a gauge head radius error;
FIG. 4 is a schematic view of the probe pin tilt error;
FIG. 5 is a diagram of tilt error;
FIG. 6 is a schematic diagram of a stacking model.
Detailed Description
The following description of the embodiments of the present application will be made apparent and fully in view of the accompanying drawings, in which some, but not all embodiments of the application are shown. All other embodiments, which can be made by those skilled in the art based on the embodiments of the application without making any inventive effort, are intended to be within the scope of the application.
In the description of the present application, it should be noted that the directions or positional relationships indicated by the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc. are based on the directions or positional relationships shown in the drawings, are merely for convenience of describing the present application and simplifying the description, and do not indicate or imply that the devices or elements referred to must have a specific orientation, be configured and operated in a specific orientation, and thus should not be construed as limiting the present application. Furthermore, the terms "first," "second," and "third" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance.
In the description of the present application, it should be noted that, unless explicitly specified and limited otherwise, the terms "mounted," "connected," and "connected" are to be construed broadly, and may be either fixedly connected, detachably connected, or integrally connected, for example; can be mechanically or electrically connected; can be directly connected or indirectly connected through an intermediate medium, and can be communication between two elements. The specific meaning of the above terms in the present application will be understood in specific cases by those of ordinary skill in the art.
In addition, the technical features of the different embodiments of the present application described below may be combined with each other as long as they do not collide with each other.
The present application will be described in detail with reference to specific examples.
First embodiment:
according to the embodiments shown in fig. 1 to 6, the specific optimization technical scheme adopted by the present application to solve the above technical problems is as follows: the application relates to an aeroengine rotor unbalance stacking method based on a five-offset shaft diameter bidirectional measurement model.
An aeroengine rotor unbalance stacking method based on a five-offset shaft diameter bidirectional measurement model is characterized by comprising the following steps of: the method comprises the following steps:
step 1: measuring an eccentric error and determining an actual axial sampling angle offset table;
step 2: the error is coupled with the offset error, so that the sampling angle is offset, and the axial actual angle offset is determined;
step 3: determining the axial and radial errors of the radius of the measuring head according to the introduced radius errors of the measuring head;
step 4: the measured geometric axis cannot coincide with the measured rotation axis, a tilt error is introduced, the tilt error causes the unbalance amount to be offset, and the tilt error is determined;
step 5: the inclination error of the measuring head support rod enables the error of the measuring head radius to influence the measurement of coaxiality, and a final axial profile measurement model and an actual sampling angle are determined;
step 6: and establishing a bidirectional measuring model based on the shaft diameter to obtain accurate profile data of the rotor, and obtaining the unbalance amount of each stage of rotor based on the accurate profile data of the rotor.
Specific embodiment II:
the second embodiment of the present application differs from the first embodiment only in that:
the step 1 specifically comprises the following steps:
the machining error of the self-assembly surface causes the geometric center to be in a non-ideal position, and the axis of the measuring device and the axis of the turntable cannot be adjusted to be in an absolute superposition state. As shown in fig. 1, there is an eccentric error at the time of measurement, which causes the sampling angle to shift at the time of measurement, and the actual axial sampling angle shift amount is expressed by the following formula:
the actual rotor runout measurement is represented by:
the actual rotor radial sampling angle offset is expressed by:
wherein ,pj Is the eccentric amount alpha j For corresponding eccentric angle r 0j For axial fitting radius, r' 0j Radius, η 'for radial fit' ij For axial actual sampling angle, η ij For an ideal axial sampling angle phi ij Is radial ideal sampling angle phi' ij For radial actual sampling angle Δl ij Is the surface machining error.
Third embodiment:
the difference between the third embodiment and the second embodiment of the present application is that:
the step 2 specifically comprises the following steps:
in the measuring process, the measuring direction of the sensor is difficult to ensure to coincide with the sampling direction, and the offset error of the sensor side head can be introduced. As shown in fig. 2, the measuring direction of the sensor cannot coincide with the sampling direction in the measuring process, a sensor side head offset error is introduced, the error is coupled with the offset error, the sampling angle is caused to be offset, and the axial actual angle offset is expressed by the following formula:
Δη ij =sin -1 ((m j +p j sin(η ijj ))/r 0j )
wherein ,mj For measuring head offset, O 2j An instantaneous center of rotation resulting from the stylus deflection;
the actual rotor runout measurement is represented by:
fourth embodiment:
the fourth embodiment of the present application differs from the third embodiment only in that:
the step 3 specifically comprises the following steps:
because the probe cannot be machined into an ideal point without a dimension, a radius error of the probe is necessarily introduced. As shown in fig. 3, the gauge head cannot be processed into a non-dimensional ideal point, a gauge head radius error is introduced, r is the gauge head radius, during actual measurement, the eccentricity and inclination system error and the gauge head radius are mutually influenced, and the gauge head radius is expressed by the following formula:
V=r
under ideal conditions, the probe support rod is parallel to the vertical direction, the contact direction of the probe and the measured piece is the horizontal direction, the contact direction is difficult to keep horizontal due to the mechanical quick processing error and improper contact force adjustment, and the measurement error is introduced, as shown in fig. 4, so that the surface of the measurement point has a runout error, and the error offset is represented by the following formula:
wherein ,for the inclination angle of the probe support rod, AA is the ideal contact direction of the probe and the measured piece, and BB is the actual contact direction.
Fifth embodiment:
the fifth embodiment of the present application differs from the fourth embodiment only in that:
the step 4 specifically comprises the following steps:
the measured geometric axis cannot coincide with the measured rotation axis, a tilt error is introduced, the tilt error causes the unbalance amount to be offset, and the tilt error is expressed by the following formula:
wherein ,r0 Is the sampling radius, g is the geometrical axis tilt angle, b j Is the angle between the projection direction of the geometric axis on the measuring plane and the initial measuring direction.
Specific embodiment six:
the difference between the sixth embodiment and the fifth embodiment of the present application is that:
the step 5 specifically comprises the following steps:
the measuring head error compensation of the sensor, the inclination error of the measuring head supporting rod still enables the measuring head radius error to influence the coaxiality measurement, and the final axial profile measuring model and the actual sampling angle are represented by the following formula:
the radial profile measurement model combining the eccentric error, the gauge head offset error, the gauge head radius error and the inclination error in the measurement device and the actual sampling angle are expressed by the following formula:
specific embodiment seven:
the seventh embodiment of the present application differs from the sixth embodiment only in that:
the step 6 specifically comprises the following steps:
based on a shaft diameter bidirectional measurement model, accurate profile data of a rotor are obtained, unbalance of rotors at all levels is obtained based on the accurate profile data of the rotor, the rotors at all levels are mutually coupled through contact surfaces, various errors are analyzed according to error transfer, the unbalance of the rotors at all levels after being stacked is analyzed, as shown in fig. 6, assembly errors of clearance rotors consist of positioning and orientation errors, the positioning errors are determined through a translation matrix, the orientation errors are determined through a rotation matrix, the accumulated eccentric error relation of the rotors at all levels is assembled, and an accumulated eccentric error expression of the rotors at the nth level after assembly is obtained by:
wherein ,Trari Tra is the transformation matrix between the joint surfaces of two-stage rotors Zi Tra being eccentric to the ideal centre of the rotor cle For turning around
Translation transformation matrix with sub-i datum plane gap eccentricity, tra dzi For eccentric translation transformation matrix caused by rotor i reference plane machining error, tra ori For the rotation transformation matrix from the rotor reference surface of rotor i to the rotation center of the assembly surface, rot xi A rotation matrix around the X axis for the reference plane of the ith rotor; rot (Rot) yi A rotation matrix around a Y axis for the reference plane of the ith rotor; q (Q) i An ideal position vector of the circle center of the assembling surface of the ith rotor; dQ i A machining error vector of the circle center position of the assembling surface of the ith rotor; dQ' i An i-th stage rotor clearance eccentric position vector; rot (Rot) ri Is the rotation matrix of the ith stage rotor around the Z axis.
Determining the center of mass eccentric position of the push-out rotor:
after the n-stage rotor is assembled, the unbalance amount of the n-stage rotor is as follows:
m n is the mass of the nth stage rotor.
Specific embodiment eight:
the eighth embodiment of the present application differs from the seventh embodiment only in that:
the application provides a rotor unbalance stacking device based on high-speed rotation equipment, which is characterized in that: the device comprises:
the eccentric error measurement module is used for measuring eccentric errors and determining an actual axial sampling angle offset table;
the error coupling module is used for coupling the error with the offset error to cause the sampling angle to be offset and determining the axial actual angle offset;
the measuring head radius error module is used for determining the axial and radial errors of the measuring head radius according to the introduced measuring head radius error;
the inclination error module is used for introducing inclination error according to the fact that the measured geometric axis cannot coincide with the measured rotation axis, and determining inclination error when the unbalance amount is offset due to the inclination error;
the axial profile measurement model module is used for influencing the measurement of coaxiality by the error of the radius of the measuring head according to the inclination error of the measuring head supporting rod and determining a final axial profile measurement model and an actual sampling angle;
and the shaft diameter bidirectional measurement model module is used for establishing a shaft diameter bidirectional measurement model to obtain accurate profile data of the rotor, and the unbalance of each stage of rotor can be obtained based on the accurate profile data of the rotor.
Specific embodiment nine:
the difference between the embodiment nine and the embodiment eight of the present application is that:
the application provides a computer readable storage medium having stored thereon a computer program for execution by a processor for implementing an aircraft engine rotor imbalance stacking method based on a five offset shaft diameter bi-directional measurement model.
Specific embodiment ten:
the tenth embodiment of the present application differs from the ninth embodiment only in that:
the application provides computer equipment, which comprises a memory and a processor, wherein the memory stores a computer program, and when the processor runs the computer program stored in the memory, the processor executes an aero-engine rotor unbalance stacking method based on a five-offset shaft diameter bidirectional measurement model.
Specific example eleven:
the eleventh embodiment of the present application differs from the tenth embodiment only in that:
the application provides an aero-engine rotor unbalance stacking method based on a five-offset shaft diameter bidirectional measurement model, which comprises the following steps of:
step 1: performing profile measurement on the single-stage rotor by using a rotation axis method;
step 2: obtaining an axial measurement error of the single-stage rotor through an axial measurement model, and obtaining a radial measurement error of the single-stage rotor through a radial measurement model;
step 3: repeating the steps 1 and 2 until the shaft diameter bidirectional errors of all single-stage rotors are measured, and obtaining accurate profile data of each stage of rotors;
step 4: analyzing positioning and orientation errors in assembly, and analyzing the eccentric quantity of each stage of rotor after error mutual coupling through an error transfer rule;
step 5: and evaluating the unbalance amount of each stage of rotor after mutual coupling according to the unbalance amount definition.
In the description of the present specification, a description referring to terms "one embodiment," "some embodiments," "examples," "specific examples," or "some examples," etc., means that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the present application. In this specification, schematic representations of the above terms are not necessarily directed to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or N embodiments or examples. Furthermore, the different embodiments or examples described in this specification and the features of the different embodiments or examples may be combined and combined by those skilled in the art without contradiction. Furthermore, the terms "first," "second," and the like, are used for descriptive purposes only and are not to be construed as indicating or implying a relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defining "a first" or "a second" may explicitly or implicitly include at least one such feature. In the description of the present application, "N" means at least two, for example, two, three, etc., unless specifically defined otherwise. Any process or method descriptions in flow charts or otherwise described herein may be understood as representing modules, segments, or portions of code which include one or more N executable instructions for implementing specific logical functions or steps of the process, and further implementations are included within the scope of the preferred embodiment of the present application in which functions may be executed out of order from that shown or discussed, including substantially concurrently or in reverse order, depending on the functionality involved, as would be understood by those reasonably skilled in the art of the embodiments of the present application. Logic and/or steps represented in the flowcharts or otherwise described herein, e.g., a ordered listing of executable instructions for implementing logical functions, can be embodied in any computer-readable medium for use by or in connection with an instruction execution system, apparatus, or device, such as a computer-based system, processor-containing system, or other system that can fetch the instructions from the instruction execution system, apparatus, or device and execute the instructions. For the purposes of this description, a "computer-readable medium" can be any means that can contain, store, communicate, propagate, or transport the program for use by or in connection with the instruction execution system, apparatus, or device. More specific examples (a non-exhaustive list) of the computer-readable medium would include the following: an electrical connection (electronic device) having one or N wires, a portable computer cartridge (magnetic device), a Random Access Memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber device, and a portable compact disc read-only memory (CDROM). In addition, the computer readable medium may even be paper or other suitable medium on which the program is printed, as the program may be electronically captured, via, for instance, optical scanning of the paper or other medium, then compiled, interpreted or otherwise processed in a suitable manner, if necessary, and then stored in a computer memory. It is to be understood that portions of the present application may be implemented in hardware, software, firmware, or a combination thereof. In the above-described embodiments, the N steps or methods may be implemented in software or firmware stored in a memory and executed by a suitable instruction execution system. As with the other embodiments, if implemented in hardware, may be implemented using any one or combination of the following techniques, as is well known in the art: discrete logic circuits having logic gates for implementing logic functions on data signals, application specific integrated circuits having suitable combinational logic gates, programmable Gate Arrays (PGAs), field Programmable Gate Arrays (FPGAs), and the like.
Those of ordinary skill in the art will appreciate that all or a portion of the steps carried out in the method of the above-described embodiments may be implemented by a program to instruct related hardware, where the program may be stored in a computer readable storage medium, and where the program, when executed, includes one or a combination of the steps of the method embodiments. In addition, each functional unit in the embodiments of the present application may be integrated in one processing module, or each unit may exist alone physically, or two or more units may be integrated in one module. The integrated modules may be implemented in hardware or in software functional modules. The integrated modules may also be stored in a computer readable storage medium if implemented in the form of software functional modules and sold or used as a stand-alone product.
The above description is only a preferred implementation manner of the method for stacking unbalanced quantities of the aero-engine rotor based on the five-offset shaft diameter bidirectional measurement model, and the protection scope of the method for stacking unbalanced quantities of the aero-engine rotor based on the five-offset shaft diameter bidirectional measurement model is not limited to the above embodiments, and all technical solutions under the concept belong to the protection scope of the application. It should be noted that modifications and variations can be made by those skilled in the art without departing from the principles of the present application, which is also considered to be within the scope of the present application.

Claims (10)

1. An aeroengine rotor unbalance stacking method based on a five-offset shaft diameter bidirectional measurement model is characterized by comprising the following steps of: the method comprises the following steps:
step 1: measuring an eccentric error and determining an actual axial sampling angle offset;
step 2: the error is coupled with the offset error, so that the sampling angle is offset, and the axial actual angle offset is determined;
step 3: determining the axial and radial errors of the radius of the measuring head according to the introduced radius errors of the measuring head;
step 4: the measured geometric axis cannot coincide with the measured rotation axis, a tilt error is introduced, the tilt error causes the unbalance amount to be offset, and the tilt error is determined;
step 5: the inclination error of the measuring head support rod enables the error of the measuring head radius to influence the measurement of coaxiality, and a final axial profile measurement model and an actual sampling angle are determined;
step 6: and establishing a bidirectional measuring model based on the shaft diameter to obtain accurate profile data of the rotor, and obtaining the unbalance amount of each stage of rotor based on the accurate profile data of the rotor.
2. The aircraft engine rotor unbalance stacking method based on the five-offset shaft diameter bidirectional measurement model, which is characterized by comprising the following steps of: the step 1 specifically comprises the following steps:
the machining error of the self-assembly surface causes that the geometric center is in a non-ideal position, meanwhile, the axis of the measuring device and the axis of the turntable cannot be adjusted to an absolute superposition state, an eccentric error exists during measurement, the eccentric error causes the sampling angle to deviate during measurement, and the actual axial sampling angle deviation is represented by the following formula:
the actual rotor runout measurement is represented by:
the actual rotor radial sampling angle offset is expressed by:
wherein ,pj Is the eccentric amount alpha j For corresponding eccentric angle r 0j For axial fitting radius, r' 0j Radius, η 'for radial fit' ij For axial actual sampling angle, η ij For an ideal axial sampling angle phi ij Is radial ideal sampling angle phi' ij For radial actual sampling angle Δl ij Is the surface machining error.
3. The aircraft engine rotor unbalance stacking method based on the five-offset shaft diameter bidirectional measurement model according to claim 2, wherein the method is characterized by comprising the following steps of: the step 2 specifically comprises the following steps:
in the measuring process, the measuring direction of the sensor cannot coincide with the sampling direction, a sensor side head offset error is introduced, the error is coupled with the offset error, the sampling angle is offset, and the axial actual angle offset is expressed by the following formula:
Δη ij =sin -1 ((m j +p j sin(η ijj ))/r 0j )
wherein ,mj For measuring head offset, O 2j An instantaneous center of rotation resulting from the stylus deflection;
the actual rotor runout measurement is represented by:
4. the aircraft engine rotor unbalance stacking method based on the five-offset shaft diameter bidirectional measurement model according to claim 3, wherein the method comprises the following steps of: the step 3 specifically comprises the following steps:
the measuring head cannot be processed into a non-dimensional ideal point, a measuring head radius error is introduced, r is the measuring head radius, during actual measurement, the eccentricity and inclination system error and the measuring head radius are mutually influenced, and the measuring head radius is expressed by the following formula:
V=r
under ideal conditions, the measuring head support rod is parallel to the vertical direction, the contact direction of the measuring head and the measured piece is the horizontal direction, the contact direction is difficult to keep horizontal due to the mechanical quick processing error and improper contact force adjustment, the measurement error is introduced, the jitter error appears on the surface of the measurement point, and the error offset is represented by the following formula:
wherein ,for the inclination angle of the probe support rod, AA is the ideal contact direction of the probe and the measured piece, and BB is the actual contact direction.
5. The aircraft engine rotor unbalance stacking method based on the five-offset shaft diameter bidirectional measurement model, which is disclosed by claim 4, is characterized in that:
the step 4 specifically comprises the following steps:
the measured geometric axis cannot coincide with the measured rotation axis, a tilt error is introduced, the tilt error causes the unbalance amount to be offset, and the tilt error is expressed by the following formula:
wherein ,r0 Is the sampling radius, g is the geometrical axis tilt angle, b j Is the angle between the projection direction of the geometric axis on the measuring plane and the initial measuring direction.
6. The aircraft engine rotor unbalance stacking method based on the five-offset shaft diameter bidirectional measurement model, which is disclosed by claim 5, is characterized in that: the step 5 specifically comprises the following steps:
the measuring head error compensation of the sensor, the inclination error of the measuring head supporting rod still enables the measuring head radius error to influence the coaxiality measurement, and the final axial profile measuring model and the actual sampling angle are represented by the following formula:
the radial profile measurement model combining the eccentric error, the gauge head offset error, the gauge head radius error and the inclination error in the measurement device and the actual sampling angle are expressed by the following formula:
7. the aircraft engine rotor unbalance stacking method based on the five-offset shaft diameter bidirectional measurement model, which is characterized by comprising the following steps of: the step 6 specifically comprises the following steps:
based on a shaft diameter bidirectional measurement model, accurate profile data of a rotor are obtained, unbalance of each level of rotor is obtained based on the accurate profile data of the rotor, each level of rotor is mutually coupled with each other through a contact surface, the unbalance of the multi-level rotor after stacking is analyzed according to error transfer, assembly errors of clearance rotors are composed of positioning and orientation errors, the positioning errors are determined through a translation matrix, the orientation errors are determined through a rotation matrix, the multi-level rotor is assembled to accumulate an eccentric error relation, and an n-th level rotor accumulated eccentric error expression after assembly is obtained by:
wherein ,Trari Tra is the transformation matrix between the joint surfaces of two-stage rotors Zi Tracle is a translation transformation matrix of rotor i reference plane gap eccentricity, tradzi is an eccentric translation transformation matrix caused by rotor i reference plane machining errors, traori is a rotation transformation matrix from a rotor i rotor reference plane to an assembly plane rotation center, and Rotxi is a rotation matrix of an i-th rotor reference plane around an X axis; rotyi is a rotation matrix of the ith rotor reference plane around the Y axis; qi is an ideal position vector of the circle center of the assembling surface of the ith rotor; dQi is the ith stage rotor assemblyMachining error vector of the center position of the surface; dQ' i is the i-th stage rotor clearance eccentric position vector; rotri is the rotation matrix of the ith stage rotor around the Z axis;
determining the center of mass eccentric position of the push-out rotor:
after the n-stage rotor is assembled, the unbalance amount of the n-stage rotor is as follows:
m n is the mass of the nth stage rotor.
8. An aeroengine rotor unbalance stacking device based on a five-offset shaft diameter bidirectional measurement model is characterized in that: the device comprises:
the eccentric error measurement module is used for measuring eccentric errors and determining an actual axial sampling angle offset table;
the error coupling module is used for coupling the error with the offset error to cause the sampling angle to be offset and determining the axial actual angle offset;
the measuring head radius error module is used for determining the axial and radial errors of the measuring head radius according to the introduced measuring head radius error;
the inclination error module is used for introducing inclination error according to the fact that the measured geometric axis cannot coincide with the measured rotation axis, and determining inclination error when the unbalance amount is offset due to the inclination error;
the axial profile measurement model module is used for influencing the measurement of coaxiality by the error of the radius of the measuring head according to the inclination error of the measuring head supporting rod and determining a final axial profile measurement model and an actual sampling angle;
and the shaft diameter bidirectional measurement model module is used for establishing a shaft diameter bidirectional measurement model to obtain accurate profile data of the rotor, and the unbalance of each stage of rotor can be obtained based on the accurate profile data of the rotor.
9. A computer readable storage medium having stored thereon a computer program, the program being executed by a processor for implementing an aircraft engine rotor imbalance stacking method based on a five offset shaft diameter bi-directional measurement model as claimed in claims 1-7.
10. A computer device comprising a memory and a processor, the memory having stored therein a computer program, which when executed by the processor performs an aircraft engine rotor imbalance stacking method based on a five offset shaft diameter bi-directional measurement model according to claims 1-7.
CN202310613756.2A 2023-05-29 2023-05-29 Aeroengine rotor unbalance stacking method based on five-offset shaft diameter bidirectional measurement model Pending CN116796514A (en)

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