CN116481820A - Flywheel dynamic determination method and device for half-order vibration of engine - Google Patents

Flywheel dynamic determination method and device for half-order vibration of engine Download PDF

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Publication number
CN116481820A
CN116481820A CN202210036847.XA CN202210036847A CN116481820A CN 116481820 A CN116481820 A CN 116481820A CN 202210036847 A CN202210036847 A CN 202210036847A CN 116481820 A CN116481820 A CN 116481820A
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engine
flywheel
order vibration
signal
displacement
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CN202210036847.XA
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杨凯
许玲莉
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SAIC Motor Corp Ltd
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SAIC Motor Corp Ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M15/00Testing of engines
    • G01M15/04Testing internal-combustion engines
    • G01M15/12Testing internal-combustion engines by monitoring vibrations
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T90/00Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation

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  • Chemical & Material Sciences (AREA)
  • Engineering & Computer Science (AREA)
  • Combustion & Propulsion (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Testing Of Engines (AREA)

Abstract

The embodiment of the application provides a flywheel dynamic determination method for half-order vibration of an engine, wherein three displacement sensors are arranged on a flywheel shell facing the flywheel, displacement signals of each displacement sensor are collected, and the displacement signals represent the vertical distance change between each sensor and the flywheel; calculating disturbance signals of the flywheel according to the displacement signals and coordinate values of the displacement sensor; determining the frequency and time of occurrence of half-order vibration; and determining flywheel dynamics when the engine generates half-order vibration according to the disturbance signal and the frequency and time of the half-order vibration. According to the method provided by the application, disturbance signals of the plane of the flywheel are calculated by collecting displacement signals of the vertical distances between at least three displacement sensors and the flywheel; and then the frequency and time of the half-order vibration are obtained, so that the flywheel dynamic state of the half-order vibration is determined.

Description

Flywheel dynamic determination method and device for half-order vibration of engine
Technical Field
The application relates to the field of NVH of engines, in particular to a flywheel dynamic determination method and device for half-order vibration of an engine.
Background
With the improvement of the automobile performance, the automobile noise control is also required to be higher. For comfort of driving, there is a demand for not only the noise level but also the quality of the noise. The main noise source of the automobile is noise generated by the engine, and one of the important factors affecting the noise quality of the engine is half-order vibration. Wherein, the order refers to the number of times of occurrence of each rotation of the rotating component; the half-order vibration of the engine means that the engine generates half-order vibration per revolution, i.e., vibration of frequency component of 1/2 of the engine speed. The noise quality produced by such vibrations is poor, affecting the driving experience.
In order to reduce and eliminate half-order vibrations generated during engine operation, it is necessary to understand the mechanism by which half-order vibrations occur in the engine. The response of the engine to half order vibrations is related to its structural characteristics, which may be caused by bearing clearances or design structural defects, for example. At present, the research on half-order vibration of an engine mainly estimates the reason of half-order vibration by analyzing the modes of a crankshaft and a complete machine, namely testing the inherent vibration characteristics of an engine structural system.
The method is lack of analysis of the relation between the flywheel dynamics of the engine and the half-order vibration because the relation between the engine structure and the half-order vibration is not measured in the running process of the engine; however, since the dynamic state of the flywheel in operation is difficult to measure, it is difficult to dynamically analyze the half-order vibration of the engine by testing the flywheel of the engine, and thus the cause of the half-order vibration of the engine cannot be accurately analyzed.
Disclosure of Invention
In view of this, the application provides a flywheel dynamic determination method and device for engine half-order vibration, which can be used for more accurately analyzing the occurrence cause of the engine half-order vibration by testing the flywheel dynamic when the engine half-order vibration occurs.
In order to solve the above problems, the technical solution provided in the embodiments of the present application is as follows:
in a first aspect, an embodiment of the present application provides a flywheel dynamic determination method for half-order vibration of an engine, including:
selecting at least three positions on a flywheel shell of the engine, wherein each position is provided with a displacement sensor facing the flywheel;
collecting displacement signals of each displacement sensor, wherein the displacement signals are displacement signals representing the change of the vertical distance between each sensor and the flywheel of the engine;
calculating a disturbance signal of the flywheel according to the displacement signal and the coordinate value of the displacement sensor on the plane of the flywheel shell;
determining the frequency and time of occurrence of half-order vibration;
and determining flywheel dynamics when the engine generates half-order vibration according to the disturbance signal and the frequency and time of the half-order vibration.
In one possible implementation, the method further includes:
acquiring a cylinder pressure signal of the engine;
and determining the working condition of each cylinder when the engine generates half-order vibration according to the cylinder pressure signal and the frequency and time of the half-order vibration.
In one possible implementation, the determining the frequency and time at which the half-order vibration occurs includes: and determining the frequency and time of the occurrence of half-order vibration according to the noise signal and the vibration signal of the engine.
In one possible implementation, the noise signal of the engine is obtained from a microphone, which is located outside the exhaust side of the engine.
In one possible implementation, the vibration signal of the engine is obtained from an acceleration sensor located on the surface of the body outside a certain cylinder wall of the engine and at the same height as the crankshaft position.
In one possible implementation manner, the determining the frequency and the time of the occurrence of the half-order vibration according to the noise signal and the vibration signal of the engine includes:
and carrying out wavelet analysis on the noise signal and the vibration signal of the engine, and identifying and obtaining the frequency and time of half-order vibration according to the result obtained by the wavelet analysis.
In one possible implementation, the cylinder pressure signal of the engine is obtained from a cylinder pressure sensor located in each cylinder of the engine.
In a second aspect, embodiments of the present application provide a flywheel dynamic determination apparatus for half-order vibration of an engine, including:
a position selecting unit for selecting at least three positions on a flywheel housing of the engine, each of the positions being provided with a displacement sensor facing the flywheel;
the displacement signal acquisition unit is used for acquiring a displacement signal of each displacement sensor, wherein the displacement signal is a displacement signal representing the change of the vertical distance between each sensor and the flywheel of the engine;
the disturbance signal calculation unit is used for calculating a disturbance signal of the flywheel according to the displacement signal and the coordinate value of the displacement sensor on the plane of the flywheel shell;
a half-order vibration determining unit for determining the frequency and time at which half-order vibration occurs;
and the flywheel dynamic determination unit is used for determining the flywheel dynamic when the engine generates half-order vibration according to the disturbance signal and the frequency and time of the half-order vibration.
In a third aspect of embodiments of the present application, there is provided an apparatus, including: a processor and a memory;
the memory is used for storing instructions;
the processor is configured to execute the instructions in the memory and perform the method according to the first aspect.
In a fourth aspect of embodiments of the present application, there is provided a computer readable storage medium storing program code or instructions which, when run on a computer, cause the computer to perform the method of the first aspect above.
From this, the embodiment of the application has the following beneficial effects:
according to the method provided by the application, the displacement sensors facing the flywheel are arranged at least three positions on the flywheel shell, the displacement signals of the vertical distance between each displacement sensor and the flywheel are collected, and the displacement signals of three points on the flywheel plane are determined, so that the disturbance signals of the whole flywheel plane are calculated according to the displacement signals and the coordinate values of the displacement sensors, and then the flywheel dynamics when half-order vibration occurs is determined by acquiring the frequency and time when half-order vibration actually occurs, so that the flywheel dynamics test when half-order vibration occurs to the engine is realized, and the occurrence cause of half-order vibration to the engine is analyzed more accurately.
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 required to be used in the embodiments or the description of the prior art will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments described in the present application, and other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a view of an engine power assembly working deformation mode provided by an embodiment of the present application;
FIG. 2 is a schematic diagram of a flywheel dynamic determination method for half-order vibration of an engine according to an embodiment of the present disclosure;
FIG. 3 is a conceptual diagram of a flywheel displacement sensor arrangement provided in an embodiment of the present application;
FIG. 4 is a layout of a displacement sensor on a flywheel housing according to an embodiment of the present application;
FIG. 5 is a layout of a flywheel displacement sensor provided in an embodiment of the present application on a 2.0L engine;
FIG. 6 is a schematic diagram of a test provided in an embodiment of the present application;
fig. 7 is a schematic diagram of a flywheel dynamic determining device for half-order vibration of an engine according to an embodiment of the present application.
Detailed Description
In order to make the present application solution better understood by those skilled in the art, the following description will clearly and completely describe the technical solution in the embodiments of the present application with reference to the accompanying drawings in the embodiments of the present application, and it is apparent that the described embodiments are only some embodiments of the present application, not all embodiments. All other embodiments, which can be made by one of ordinary skill in the art without undue burden from the present disclosure, are within the scope of the present disclosure.
The inventors have found in research that the response of an engine to half-order vibrations is related to its structural characteristics, which may be caused, for example, by bearing clearances or design structural defects. At present, the half-order vibration of the engine is mainly researched by analyzing the modes of a crankshaft and the whole engine, as shown in fig. 1, which is a working deformation mode diagram of an engine power assembly provided by the embodiment of the application; that is, the cause of occurrence of half-order vibration is estimated by testing the natural vibration characteristics of the engine structural system. The method is lack of analysis of the relation between the flywheel dynamics of the engine and the half-order vibration because the relation between the engine structure and the half-order vibration is not measured in the running process of the engine; however, since the dynamic state of the flywheel in operation is difficult to measure, it is difficult to dynamically analyze the half-order vibration of the engine by testing the flywheel of the engine, and thus the cause of the half-order vibration of the engine cannot be accurately analyzed.
Based on the above, the embodiment of the application provides a flywheel dynamic determination method of engine half-order vibration, wherein three displacement sensors facing the flywheel are arranged on a flywheel shell, displacement signals of each displacement sensor are collected, and the displacement signals represent the vertical distance change between each sensor and the flywheel; calculating disturbance signals of the flywheel according to the displacement signals and coordinate values of the displacement sensor; determining the frequency and time of occurrence of half-order vibration; and determining flywheel dynamics when the engine generates half-order vibration according to the disturbance signal and the frequency and time of the half-order vibration. According to the method provided by the application, the disturbance signal of the flywheel plane is calculated by collecting the displacement signals of the vertical distances between at least three displacement sensors and the flywheel, and then the flywheel dynamics when the half-order vibration occurs is determined by obtaining the frequency and time when the half-order vibration occurs, so that the problem that the occurrence cause of the half-order vibration cannot be studied through the flywheel dynamics is solved.
In order to facilitate understanding of the methods provided by the embodiments of the present application, the following description will be made with reference to the accompanying drawings.
Referring to fig. 2, the method for dynamically determining flywheel half-order vibration of an engine according to an embodiment of the present application is shown in fig. 2, where the method may include:
step 101: at least three positions are selected on a flywheel housing of the engine, each of which is provided with a displacement sensor facing the flywheel.
According to the displacement sensor arrangement method, the displacement sensor for testing the flywheel dynamics is arranged on the flywheel shell, so that the influence of rack vibration on a test result is eliminated, and the flywheel dynamics can be accurately tested.
Specifically, at least three positions facing the flywheel without position interference, that is, positions not adjacent to other parts, nor adjacent to each other, are selected on the flywheel housing of the engine as placement points of the displacement sensor. In practical application, the positions of the flywheel housing for punching are not more, and when the positions of the flywheel housing are less than three displacement sensors, the disturbance situation of the flywheel cannot be determined; three positions are therefore selected as placement points in the embodiments of the present application. As shown in fig. 3, the figure is a conceptual diagram of flywheel displacement sensor arrangement provided in an embodiment of the present application; as shown in fig. 4, the figure is a layout of a displacement sensor on a flywheel housing according to an embodiment of the present application.
Step 102: and acquiring a displacement signal of each displacement sensor, wherein the displacement signal is a displacement signal representing the change of the vertical distance between each displacement sensor and the flywheel of the engine.
In the embodiment of the present application, the displacement signals of the three displacement sensors are named S A 、S B 、S C The method comprises the steps of carrying out a first treatment on the surface of the The displacement signal is a function of time, here the vertical distance between each displacement sensor and the flywheel; the flywheel has tiny disturbance in operation, so that displacement signals acquired by each displacement sensor are different, and the disturbance condition of the whole surface of the flywheel can be determined by the displacement signals of the three displacement sensors.
Step 103: and calculating a disturbance signal of the flywheel according to the displacement signal and the coordinate value of the displacement sensor on the plane of the flywheel shell.
In this embodiment of the present application, the origin of coordinates is the intersection point of the flywheel and the crankshaft, as shown in fig. 5, where the coordinates of the three displacement sensors on the flywheel casing plane are recorded as Y respectively in the layout of the flywheel displacement sensor on a certain 2.0L engine A 、Y B 、Y C 、Z A 、Z B 、Z C The unit is mm; as shown in fig. 3, the disturbance signals of the flywheel to be calculated in the embodiment of the present application are disturbance signals of the flywheel along the X-direction (denoted as X), around the Y-direction (denoted as α), around the Z-direction (denoted as Z)). Specifically, in the embodiment of the present application, the displacement signal S A 、S B 、S C And coordinate value Y of the sensor A 、Y B 、Y C 、Z A 、Z B 、Z C The disturbance signal is calculated by processing the following formulas (1), (2) and (3):
disturbance signal along X-direction:
disturbance signal around Y:
disturbance signal around Z direction:
step 104: the frequency and time at which the half order vibrations occur are determined.
In some possible implementations, the determining the frequency and time at which the half-order vibration occurs includes: and determining the frequency and time of the occurrence of half-order vibration according to the noise signal and the vibration signal of the engine.
In some possible implementations, the noise signal of the engine is obtained from a microphone that is located outside the exhaust side of the engine.
In some possible implementations, the vibration signal of the engine is obtained from an acceleration sensor located on the outer body surface of a certain cylinder wall of the engine and at the same height as the crankshaft position.
In the embodiment of the application, the microphone for obtaining the noise signal of the engine is arranged outside the exhaust side of the engine and is 1 meter away from the exhaust side; an acceleration sensor for obtaining engine vibration signals is arranged on the surface of the outer body of the cylinder wall of the 1 st cylinder and is equal to the crankshaft in height, as shown in fig. 6, which is a test schematic diagram provided by the embodiment of the application.
In some possible implementations, the determining the frequency and time at which the half-order vibration occurs based on the noise signal and the vibration signal of the engine includes:
and carrying out wavelet analysis on the noise signal and the vibration signal of the engine, and identifying and obtaining the frequency and time of half-order vibration according to the result obtained by the wavelet analysis.
Specifically, in the embodiment of the present application, as shown in fig. 6, the collected test materials are converted from voltage signals into digital signals, and then sent to a data processing computer for analysis. And carrying out wavelet analysis on the acquired noise signals and vibration signals of the engine, and identifying and obtaining the frequency and time of half-order vibration.
Step 105: and determining flywheel dynamics when the engine generates half-order vibration according to the disturbance signal and the frequency and time of the half-order vibration.
In some possible implementations, the method further includes the steps of:
acquiring a cylinder pressure signal of the engine;
and determining the working condition of each cylinder when the engine generates half-order vibration according to the cylinder pressure signal and the frequency and time of the half-order vibration.
Specifically, the cylinder pressure signal of the engine is obtained from a cylinder pressure sensor located in each cylinder of the engine.
As shown in fig. 6, in the embodiment of the present application, a displacement signal, a noise signal, a vibration signal and a cylinder pressure signal are collected, and after the signals are analyzed and processed, the working condition of each cylinder and the dynamic condition of the flywheel when half-order vibration occurs can be analyzed, and the mechanism of half-order vibration can be defined by combining the above data.
In practical application, the data obtained by the embodiment of the application are input into a simulation system, so that the generation of half-order vibration can be simulated based on the flywheel dynamics and the working conditions of each cylinder when the half-order vibration occurs; and through adjusting other parameters, the disturbance of the flywheel in the simulation system is reduced, so that the disturbance of the flywheel is weaker than the disturbance of the flywheel when half-order vibration actually occurs in the test, the direction of optimizing the structural design is found, and the weakening or elimination of half-order phenomenon is realized.
Based on the above method embodiments, the embodiments of the present application provide an analysis device for engine half-order vibration, referring to fig. 7, which is a schematic diagram of a flywheel dynamic determination device for engine half-order vibration provided in the embodiments of the present application. As shown in fig. 7, the apparatus may include:
a position selecting unit 201, configured to select at least three positions on a flywheel housing of the engine, where each position is provided with a displacement sensor facing the flywheel;
a displacement signal acquisition unit 202, configured to acquire a displacement signal of each of the displacement sensors, where the displacement signal is a displacement signal representing a change in a vertical distance between each of the sensors and a flywheel of the engine;
a disturbance signal calculation unit 203, configured to calculate a disturbance signal of the flywheel according to the displacement signal and a coordinate value of the displacement sensor on the flywheel housing plane;
a half-order vibration determination unit 204 for determining the frequency and time at which half-order vibration occurs;
and the flywheel dynamic determining unit 205 is configured to determine flywheel dynamic when the engine generates half-order vibration according to the disturbance signal and the frequency and time when the half-order vibration occurs.
It should be noted that, in this embodiment, the implementation of each unit may refer to the above method embodiment, and this embodiment is not described herein again.
In addition, the embodiment of the application also provides equipment, which comprises: a processor and a memory; the memory is used for storing instructions; the processor is used for executing the instructions in the memory and executing the method for determining the half-order vibration of the engine.
Embodiments of the present application also provide a computer readable storage medium storing program code or instructions that, when run on a computer, cause the computer to perform the method of determining engine half-order vibrations described above.
Therefore, according to the embodiment of the application, the displacement sensors are arranged at least three positions on the flywheel shell, the displacement signals of the vertical distance between each displacement sensor and the flywheel are collected, and the displacement signals of three points on the flywheel plane are determined, so that the disturbance signals of the whole flywheel plane are calculated according to the displacement signals and the coordinate values of the displacement sensors, and then the flywheel dynamics when half-order vibration occurs is determined by acquiring the frequency and the time when the half-order vibration actually occurs, so that the flywheel dynamics test when the half-order vibration occurs to the engine is realized, and the occurrence reason of the half-order vibration of the engine is analyzed more accurately.
It should be noted that, in the present description, each embodiment is described in a progressive manner, and each embodiment is mainly described in a different manner from other embodiments, and identical and similar parts between the embodiments are all enough to refer to each other. For the system or device disclosed in the embodiments, since it corresponds to the method disclosed in the embodiments, the description is relatively simple, and the relevant points refer to the description of the method section.
It should be understood that in this application, "at least one" means one or more, and "a plurality" means two or more. "and/or" for describing the association relationship of the association object, the representation may have three relationships, for example, "a and/or B" may represent: only a, only B and both a and B are present, wherein a, B may be singular or plural. The character "/" generally indicates that the context-dependent object is an "or" relationship. "at least one of" or the like means any combination of these items, including any combination of single item(s) or plural items(s). For example, at least one (one) of a, b or c may represent: a, b, c, "a and b", "a and c", "b and c", or "a and b and c", wherein a, b, c may be single or plural.
It is further 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. Without further limitation, an element defined by the phrase "comprising one … …" does not exclude the presence of other like elements in a process, method, article, or apparatus that comprises the element.
The steps of a method or algorithm described in connection with the embodiments disclosed herein may be embodied directly in hardware, in a software module executed by a processor, or in a combination of the two. The software modules may be disposed in Random Access Memory (RAM), memory, read Only Memory (ROM), electrically programmable ROM, electrically erasable programmable ROM, registers, hard disk, a removable disk, a CD-ROM, or any other form of storage medium known in the art.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present application. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the application. Thus, the present application is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims (10)

1. A method for dynamically determining flywheel of half order vibration of an engine, the method comprising:
selecting at least three positions on a flywheel shell of the engine, wherein each position is provided with a displacement sensor facing the flywheel;
collecting displacement signals of each displacement sensor, wherein the displacement signals are displacement signals representing the change of the vertical distance between each displacement sensor and the flywheel of the engine;
calculating a disturbance signal of the flywheel according to the displacement signal and the coordinate value of the displacement sensor on the plane of the flywheel shell;
determining the frequency and time of occurrence of half-order vibration;
and determining flywheel dynamics when the engine generates half-order vibration according to the disturbance signal and the frequency and time of the half-order vibration.
2. The method according to claim 1, wherein the method further comprises:
acquiring a cylinder pressure signal of the engine;
and determining the working condition of each cylinder when the engine generates half-order vibration according to the cylinder pressure signal and the frequency and time of the half-order vibration.
3. The method of claim 1, the determining the frequency and time at which half-order vibration occurs comprising: and determining the frequency and time of the occurrence of half-order vibration according to the noise signal and the vibration signal of the engine.
4. A method according to claim 3, the noise signal of the engine being obtained from a microphone, the microphone being located outside the exhaust side of the engine.
5. A method according to claim 3, the vibration signal of the engine being obtained from an acceleration sensor located on the outer body surface of the cylinder wall of the engine at the same height as the crankshaft position.
6. A method according to claim 3, said determining the frequency and time at which half order vibrations occur from the noise and vibration signals of the engine comprising:
and carrying out wavelet analysis on the noise signal and the vibration signal of the engine, and identifying and obtaining the frequency and time of half-order vibration according to the result obtained by the wavelet analysis.
7. The method of claim 2, the cylinder pressure signal of the engine being obtained from a cylinder pressure sensor located within each cylinder of the engine.
8. An apparatus for determining half-order vibration of an engine, the apparatus comprising:
a position selecting unit for selecting at least three positions on a flywheel housing of the engine, each of the positions being provided with a displacement sensor facing the flywheel;
the displacement signal acquisition unit is used for acquiring a displacement signal of each displacement sensor, wherein the displacement signal is a displacement signal representing the change of the vertical distance between each sensor and the flywheel of the engine;
the disturbance signal calculation unit is used for calculating a disturbance signal of the flywheel according to the displacement signal and the coordinate value of the displacement sensor on the plane of the flywheel shell;
a half-order vibration determining unit for determining the frequency and time at which half-order vibration occurs;
and the flywheel dynamic determination unit is used for determining the flywheel dynamic when the engine generates half-order vibration according to the disturbance signal and the frequency and time of the half-order vibration.
9. An apparatus, the apparatus comprising: a processor and a memory;
the memory is used for storing instructions;
the processor being configured to execute the instructions in the memory and to perform the method of any of claims 1-7.
10. A computer readable storage medium, characterized in that the computer readable storage medium stores program code or instructions, which when run on a computer, cause the computer to perform the method of any of the preceding claims 1-7.
CN202210036847.XA 2022-01-13 2022-01-13 Flywheel dynamic determination method and device for half-order vibration of engine Pending CN116481820A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202210036847.XA CN116481820A (en) 2022-01-13 2022-01-13 Flywheel dynamic determination method and device for half-order vibration of engine

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202210036847.XA CN116481820A (en) 2022-01-13 2022-01-13 Flywheel dynamic determination method and device for half-order vibration of engine

Publications (1)

Publication Number Publication Date
CN116481820A true CN116481820A (en) 2023-07-25

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Family Applications (1)

Application Number Title Priority Date Filing Date
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Country Status (1)

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