WO2023213017A1 - Procédé et dispositif de calcul de caractéristique dynamique de système de rotor basés sur un procédé d'élément fini et support - Google Patents

Procédé et dispositif de calcul de caractéristique dynamique de système de rotor basés sur un procédé d'élément fini et support Download PDF

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WO2023213017A1
WO2023213017A1 PCT/CN2022/108728 CN2022108728W WO2023213017A1 WO 2023213017 A1 WO2023213017 A1 WO 2023213017A1 CN 2022108728 W CN2022108728 W CN 2022108728W WO 2023213017 A1 WO2023213017 A1 WO 2023213017A1
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disk
rotor system
equation
shaft segment
motion
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PCT/CN2022/108728
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English (en)
Chinese (zh)
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杜飞平
胡宝文
谭永华
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西安航天动力研究所
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/17—Mechanical parametric or variational design
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
    • Y—GENERAL 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
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation

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  • This application relates to the technical field of rotor system dynamics systems, and in particular to methods, equipment and media for calculating dynamic characteristics of rotor systems based on the finite element method.
  • the research object of rotor system dynamics is a rotor whose lateral displacement is much smaller than the shaft diameter (on the order of 0.1%). Its vibration includes various forms such as torsional vibration and bending vibration of the rotating shaft, disc vibration or disc jitter, among which the bending vibration of the rotating shaft is It is the most complex and involves the most factors. Therefore, the rotor system dynamics takes the transverse bending vibration of the rotating shaft as the main research object.
  • the calculation methods of modern rotor system dynamics can be divided into transfer matrix method and finite element method:
  • the transfer matrix method is characterized by the fact that the matrix order does not increase with the increase of the system degrees of freedom, so it has simple programming, small memory and fast operation speed.
  • this application discloses a method, equipment and medium for calculating the dynamic characteristics of a rotor system based on the finite element method, which is used to provide a process and numerical algorithm for solving the rotor characteristics using the finite element method.
  • this application provides a method for calculating the dynamic characteristics of a rotor system based on the finite element method, which is characterized in that the rotor system includes a disc, a bearing, and an elastic shaft connecting the disc and the bearing; the method is based on the finite element method.
  • the calculation methods of the dynamic characteristics of the rotor system using the finite element method include:
  • this application first calculates the motion equation of the disk based on the Euler angle rotation transformation matrix, calculates the motion equation of the elastic shaft based on the displacement interpolation function matrix, and calculates the bearing journal center coordinates based on the The equation of motion of the rotor system is then determined based on the equation of motion of the disk, the equation of motion of the elastic shaft and the equation of motion of the bearing. Finally, based on the equation of motion of the rotor system, the critical rotational speed and inconsistency of the rotor system are calculated. Balanced response.
  • the method for calculating the dynamic characteristics of the rotor system based on the finite element method can use the finite element method to solve the equations of motion during the rotation of the rotor system and calculate the critical speed and unbalance response of the rotor system.
  • embodiments of the present application provide a device for calculating dynamic characteristics of a rotor system based on the finite element method, including a processor and a communication interface coupled to the processor; the processor is used to run computer programs or instructions to implement calculations based on Finite element method is used to calculate the dynamic characteristics of the rotor system.
  • embodiments of the present application provide a computer storage medium. Instructions are stored in the computer storage medium. When the instructions are executed, a method for calculating the dynamic characteristics of the rotor system based on the finite element method is implemented.
  • the second aspect and the third aspect of the present application have the same beneficial effects as the above-mentioned technical solution assessment and evaluation method, and will not be described again here.
  • Figure 1 is a step flow chart of a method for calculating dynamic characteristics of a rotor system based on the finite element method provided by an embodiment of the present application;
  • Figure 2 is a schematic diagram of a rotor system supported by a rolling bearing provided in an embodiment of the present application
  • FIG. 3 is a schematic diagram of a shaft segment unit provided by an embodiment of the present application.
  • Figure 4 is a schematic diagram of the hardware structure of a rotor system dynamic characteristics calculation device based on the finite element method provided by an embodiment of the present application;
  • FIG. 5 is a schematic structural diagram of a chip provided by an embodiment of the present application.
  • FIG. 1 shows a step flow chart of a method for calculating dynamic characteristics of a rotor system based on the finite element method provided by an embodiment of the present application.
  • the rotor system includes a disc, a bearing and an elastic shaft connecting the disc and the bearing, where the bearing in Figure 2 is a rolling bearing.
  • the bearing in Figure 2 is a rolling bearing.
  • l is the length of the elastic shaft
  • O 1 and O 3 are the journal centers at the rolling bearing support
  • O 2 is the rotor center at the disk.
  • the position of the disk's rotating shaft at any cross-section can be determined by the axis coordinates x, y , section rotation angle ⁇ x , ⁇ y and rotation angle to calculate.
  • the above-mentioned calculation method of dynamic characteristics of the rotor system based on the finite element method includes the following steps:
  • x and y respectively represent the abscissa and ordinate of the axis of the disk, represent the first-order reciprocal of the abscissa and ordinate of the axis of the disk to time respectively
  • m d , J d and J p are the mass, diameter moment of inertia and polar moment of inertia of the rigid disc respectively
  • O 2 ⁇ is The axis node is the origin, and the O 2 ⁇ axis is perpendicular to the disk plane and is fixed in the moving coordinate system of the disk.
  • ⁇ ⁇ , ⁇ ⁇ , and ⁇ ⁇ respectively represent the first component and the second component of the rotational speed in the moving coordinate system. component and third component.
  • Equation (6-2) omitting the second-order and above traces, the motion equation of the disk can be obtained as:
  • M d represents the generalized mass of the disk
  • ⁇ represents the rotation angular velocity of the disk
  • J represents the rotational inertia of the disk.
  • T is the kinetic energy of the system, q i , are generalized displacement and generalized velocity respectively.
  • ⁇ Q 1d ⁇ [F x , M y ] T
  • ⁇ Q 2d ⁇ [F y , M x ] T
  • Q 1d and Q 2d respectively represent the normal contact load
  • F x and F y respectively represent the first and second components of the external force on the disk
  • M x and M y respectively represent the first component of the moment. and the second component.
  • This step specifically includes: S201, dividing the elastic shaft into multiple shaft segment units.
  • FIG. 3 shows a schematic structural diagram of the shaft segment unit.
  • the generalized coordinates of the shaft segment unit are the displacements of the two nodes, that is,
  • x A , x B , y A , y B , ⁇ xA , ⁇ xB , ⁇ yA , ⁇ yB respectively represent the coordinates of point A and point B along the X direction, the coordinates of the Y direction, the angle between the X direction, Y direction angle.
  • S202 Calculate the kinetic energy and bending potential energy of the shaft segment unit using the displacement interpolation function matrix and the node displacement of the shaft segment unit.
  • the displacement at any section of the shaft segment unit can be calculated through the displacement interpolation function and the displacement of the node of the shaft segment unit.
  • [N] [N 1 (z) N 2 (z) N 3 (z) N 4 (z)] is a 1 ⁇ 4 order displacement interpolation function matrix.
  • the displacement interpolation function can be solved as
  • x (z, t), y (z, t) respectively represent the displacement at any section of the shaft segment unit
  • ⁇ x (z, t), ⁇ y (z, t) represent the shaft segment unit
  • the angular displacement at any section, u 1z and u 2z respectively represent the third component of the disk rotation in the Cartesian coordinate system, z represents the position, t represents the time, and N is the displacement interpolation function;
  • the displacement of any point of the axis segment unit can be expressed by the displacement of the node of the unit, and the kinetic energy and potential energy of the unit can also be expressed as functions of the node displacement and velocity.
  • the kinetic energy of the shaft segment micro-element can be obtained:
  • dm, j d and j p respectively represent the mass, diameter moment of inertia and polar moment of inertia of the shaft segment element.
  • dm, j d and j p respectively represent the mass, diameter moment of inertia and polar moment of inertia of the shaft segment unit, and N' represents the quadratic displacement interpolation polynomial of the shaft segment unit.
  • E is the elastic modulus
  • I is the moment of inertia of the cross section against the bending neutral axis
  • M represents the third-order displacement interpolation polynomial of the axis segment unit, and Respectively represent the acceleration along the x and y directions at any section of the shaft segment unit.
  • M zT and M zR respectively represent the diagonal mass matrix representing the axis segment unit, and J z represents the moment of inertia of the axis segment unit;
  • K z represents the stiffness matrix of the axis segment element.
  • ⁇ Q 1z ⁇ , ⁇ Q 2z ⁇ are the corresponding generalized force vectors, including the disks or adjacent shaft segments connected at the nodes. forces, moments and unbalanced forces.
  • the unbalanced force of the shaft segment element can be obtained as:
  • e ⁇ (z) and e ⁇ (z) are the eccentricity of the mass distribution of the shaft segment unit.
  • x b and y b are the coordinates of the bearing seat center of the bearing
  • x s(j) and y s(j) are the coordinates of the journal center of the bearing
  • c bxx , c bxy , c byx , c byy respectively represent the damping of the bearing in different directions.
  • ⁇ U 1 ⁇ [x 1 , ⁇ y1 , x 2 , ⁇ y2 ,..., x n , ⁇ yn ] T
  • [M], ⁇ [J], and [K] are the mass matrix, rotation matrix, and stiffness matrix of the rotor system respectively
  • ⁇ Q 1 ⁇ , ⁇ Q 2 ⁇ are the generalized forces of the rotor system.
  • Equation (6-25) can be written in the unified form as
  • the critical speed of the rotor system refers to the speed when the rotor system resonates under its own unbalanced excitation force.
  • the critical speed characteristics are the inherent characteristics of the rotor system.
  • the turbine frequency when the rotational angular velocity is ⁇ can be obtained through the homogeneous solution of the differential equation.
  • [M] and [K ⁇ are real symmetric matrices
  • [J] is a real antisymmetric matrix
  • the eigenvalues of this equation are composed of 4n pairs of conjugate complex numbers, corresponding to 2n forward whirl frequencies and 2n reverse whirl frequencies respectively.
  • unbalanced response The vibration generated by the rotor system under the excitation of unbalanced force or unbalanced torque is called unbalanced response, which is mainly used to study the sensitivity of the rotor system to the unbalanced amount at certain positions.
  • ⁇ z ⁇ ⁇ U 1 ⁇ + ⁇ U 2 ⁇
  • i represents the imaginary number
  • Q 1c and Q 2c represent the unbalanced force respectively.
  • the embodiment of the present application first calculates the motion equation of the disk based on the Euler angle rotation transformation matrix, calculates the motion equation of the elastic shaft based on the displacement interpolation function matrix, and calculates the motion equation of the bearing based on the journal center coordinates of the bearing. , then, determine the motion equation of the rotor system based on the motion equation of the disk, the elastic shaft, and the bearing. Finally, based on the motion equation of the rotor system, calculate the critical speed and unbalance response of the rotor system.
  • the method for calculating the dynamic characteristics of the rotor system based on the finite element method can use the finite element method to solve the equations of motion during the rotation of the rotor system and calculate the critical speed and unbalanced response of the rotor system.
  • Figure 4 shows a schematic diagram of the hardware structure of a device for calculating dynamic characteristics of a rotor system based on the finite element method provided by an embodiment of the present application.
  • the rotor system dynamic characteristics calculation device 80 based on the finite element method includes a processor 801 and a communication interface 802 .
  • the above-mentioned processor can be a general central processing unit (CPU), a microprocessor, an application-specific integrated circuit (ASIC), or one or more processors for controlling the computer.
  • the application program program is implemented on an integrated circuit.
  • the communication interface may use any device such as a transceiver for communicating with other devices or communication networks.
  • the above-mentioned finite element method-based rotor system dynamic characteristics calculation device may also include a communication line 803 .
  • the communication line may include a path to carry information between the above-mentioned components.
  • the finite element method-based rotor system dynamic characteristics calculation device may also include a memory 804 .
  • the memory is used to store computer execution instructions for executing the solution of the present application, and is controlled by the processor for execution.
  • the processor is used to execute computer execution instructions stored in the memory, thereby implementing the method provided by the embodiment of the present application.
  • the above-mentioned memory can be a read-only memory (ROM) or other types of static storage devices that can store static information and instructions, a random access memory (random access memory, RAM) or a Other types of dynamic storage devices for information and instructions, which may also be electrically erasable programmable read-only memory (EEPROM), compact disc read-only memory (CD-ROM) or Other optical disc storage, optical disc storage (including compressed optical discs, laser discs, optical discs, digital versatile discs, Blu-ray discs, etc.), magnetic disk storage media or other magnetic storage devices, or can be used to carry or store desired information in the form of instructions or data structures Program code and any other medium capable of being accessed by a computer, without limitation.
  • the memory can exist independently and be connected to the processor through communication lines. Memory can also be integrated with the processor.
  • the computer-executed instructions in the embodiments of the present application may also be called application codes, which are not specifically limited in the embodiments of the present application.
  • the processor 801 may include one or more CPUs, such as CPU0 and CPU1 in FIG. 4 .
  • the rotor system dynamic characteristics calculation device based on the finite element method may include multiple processors, such as processor 801-1 and processor 801- in Figure 4 2. Each of these processors can be a single-core processor or a multi-core processor.
  • FIG. 5 is a schematic structural diagram of a chip provided by an embodiment of the present application.
  • the chip 90 includes one or more (including two) processors 801 and a communication interface 802 .
  • the chip also includes a memory 804, which can include read-only memory and random access memory, and provides operating instructions and data to the processor.
  • a memory 804 can include read-only memory and random access memory, and provides operating instructions and data to the processor.
  • Part of the memory may also include non-volatile random access memory (NVRAM).
  • NVRAM non-volatile random access memory
  • the memory stores the following elements, execution modules or data structures, or their subsets, or their extended sets.
  • the corresponding operation is performed by calling the operation instructions stored in the memory (the operation instructions can be stored in the operating system).
  • the processor controls the processing operations of any one of the rotor system dynamic characteristics calculation devices based on the finite element method.
  • the processor can also be called a central processing unit (CPU).
  • memory may include read-only memory and random access memory and provide instructions and data to the processor.
  • Part of the memory may also include NVRAM.
  • the memory, communication interface and memory are coupled together through a bus system.
  • the bus system may also include a power bus, a control bus, a status signal bus, etc.
  • the various buses are labeled bus system 805 in Figure 5.
  • the method disclosed in the above embodiment of the present application can be applied in a processor or implemented by the processor.
  • the processor may be an integrated circuit chip that has signal processing capabilities.
  • each step of the above method can be completed by instructions in the form of hardware integrated logic circuits or software in the processor.
  • the above-mentioned processor can be a general-purpose processor, digital signal processing (DSP), ASIC, off-the-shelf programmable gate array (field-programmable gate array, FPGA) or other programmable logic devices, discrete gates or transistor logic. devices, discrete hardware components.
  • DSP digital signal processing
  • ASIC application-the-shelf programmable gate array
  • FPGA field-programmable gate array
  • Each method, step and logical block diagram disclosed in the embodiment of this application can be implemented or executed.
  • a general-purpose processor may be a microprocessor or the processor may be any conventional processor, etc.
  • the steps of the method disclosed in conjunction with the embodiments of the present application can be directly implemented by a hardware decoding processor, or executed by a combination of hardware and software modules in the decoding processor.
  • the software module can be located in random access memory, flash memory, read-only memory, programmable read-only memory or electrically erasable programmable memory, registers and other mature storage media in this field.
  • the storage medium is located in the memory, and the processor reads the information in the memory and completes the steps of the above method in combination with its hardware.
  • the communication interface is used to obtain images collected by the camera.
  • the processor is used to execute steps 101 to 103 of the assessment and evaluation method in the embodiment shown in FIG. 1 .
  • a computer-readable storage medium is provided. Instructions are stored in the computer-readable storage medium. When the instructions are executed, the functions performed by the rotor system dynamic characteristics calculation device based on the finite element method in the above embodiments are realized.
  • a chip is provided.
  • the chip is used in a rotor system dynamic characteristics calculation device based on the finite element method.
  • the chip includes at least one processor and a communication interface.
  • the communication interface is coupled with at least one processor.
  • the processor is used to run instructions. In order to realize the functions performed by the rotor system dynamic characteristics calculation device based on the finite element method in the above embodiments.
  • the computer program product includes one or more computer programs or instructions.
  • the computer may be a general purpose computer, a special purpose computer, a computer network, a terminal, a user equipment, or other programmable device.
  • the computer program or instructions may be stored in a computer-readable storage medium or transmitted from one computer-readable storage medium to another.
  • the computer program or instructions may be transmitted from a website, computer, A server or data center transmits via wired or wireless means to another website site, computer, server, or data center.
  • the computer-readable storage medium may be any available medium that can be accessed by a computer or a data storage device such as a server or data center that integrates one or more available media.
  • the available media may be magnetic media, such as floppy disks, hard disks, and magnetic tapes; they may also be optical media, such as digital video discs (DVDs); they may also be semiconductor media, such as solid state drives (solid state drives). ,SSD).

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Abstract

La présente invention se rapporte au domaine technique de la dynamique de système de rotor, concerne un procédé et un dispositif de calcul de caractéristique dynamique de système de rotor basés sur un procédé d'élément fini ainsi qu'un support et est utilisé pour fournir un processus et un algorithme numérique en vue de résoudre des caractéristiques de rotor à l'aide du procédé d'élément fini. Le procédé de calcul de caractéristique dynamique de système de rotor basé sur le procédé d'élément fini comprend les étapes consistant à : calculer une équation de mouvement du disque sur la base d'une matrice de transformation de rotation d'angle d'Euler; calculer une équation de mouvement de l'arbre élastique en utilisant une matrice de fonction d'interpolation de déplacement; calculer une équation de mouvement d'un palier sur la base d'une coordonnée de centre de tourillon du palier; déterminer une équation de mouvement du système de rotor sur la base de l'équation de mouvement du disque, de l'équation de mouvement de l'arbre élastique et de l'équation de mouvement du palier; et calculer une vitesse de rotation critique et une réponse de déséquilibre du système de rotor sur la base de l'équation de mouvement du système de rotor.
PCT/CN2022/108728 2022-05-05 2022-07-28 Procédé et dispositif de calcul de caractéristique dynamique de système de rotor basés sur un procédé d'élément fini et support WO2023213017A1 (fr)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN118070441A (zh) * 2024-01-15 2024-05-24 北京工商大学 复合材料转子系统的参激振动稳定性分析方法及系统
CN118313168A (zh) * 2024-06-07 2024-07-09 北京化工大学 一种基于转静耦合的碰摩故障仿真模型构建方法

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114580121B (zh) * 2022-05-05 2022-08-16 西安航天动力研究所 基于有限元法的转子系统动特性计算方法、设备及介质

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2018173297A (ja) * 2017-03-31 2018-11-08 三菱重工業株式会社 翼振動監視装置、回転機械システム及び翼振動監視方法
CN111753380A (zh) * 2020-06-12 2020-10-09 哈尔滨工业大学 一种火箭发动机液氧涡轮泵的间隙密封模型的建模方法
CN113434983A (zh) * 2021-07-07 2021-09-24 西安交通大学 一种滑动轴承转子系统非线性动力学特性快速计算方法
CN114580121A (zh) * 2022-05-05 2022-06-03 西安航天动力研究所 基于有限元法的转子系统动特性计算方法、设备及介质

Family Cites Families (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH10293060A (ja) * 1997-04-18 1998-11-04 Ebara Corp 回転機械の加振力監視システム
CN101820240B (zh) * 2009-06-26 2012-05-23 天津大学 一种基于球面规划的永磁球形电动机定子绕组通电方法
CN103076163B (zh) * 2011-12-06 2016-02-24 西安交通大学 一种轴承-转子系统特性参数的在线测试方法
CN109657397B (zh) * 2018-12-29 2020-06-30 山东大学 基于频响函数的汽轮机叶片-转子系统稳定性的预测方法

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2018173297A (ja) * 2017-03-31 2018-11-08 三菱重工業株式会社 翼振動監視装置、回転機械システム及び翼振動監視方法
CN111753380A (zh) * 2020-06-12 2020-10-09 哈尔滨工业大学 一种火箭发动机液氧涡轮泵的间隙密封模型的建模方法
CN113434983A (zh) * 2021-07-07 2021-09-24 西安交通大学 一种滑动轴承转子系统非线性动力学特性快速计算方法
CN114580121A (zh) * 2022-05-05 2022-06-03 西安航天动力研究所 基于有限元法的转子系统动特性计算方法、设备及介质

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN118070441A (zh) * 2024-01-15 2024-05-24 北京工商大学 复合材料转子系统的参激振动稳定性分析方法及系统
CN118313168A (zh) * 2024-06-07 2024-07-09 北京化工大学 一种基于转静耦合的碰摩故障仿真模型构建方法

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