一种模拟复杂转子系统动力学试验器设计方法及系统

Abstract

This invention relates to the field of aero-engine technology and discloses a design method and system for a dynamic test chamber simulating a complex rotor system. By constructing a three-dimensional solid similarity model of a dual-rotor support system, and analyzing the mode shape vectors of each order in the one-dimensional dynamic parameterized model of the dual-rotor support system, as well as the mode shape vectors of each order in the similar model, the parametric modal confidence and correlated modal confidence of the similar model are calculated. Using these two modal confidence scores as evaluation criteria, the similar model is adjusted to obtain a high-confidence similar model. Based on the total stiffness, support stiffness, squirrel cage stiffness, and end-seal stiffness of the similar model, the reference value of the oil film damper stiffness is obtained, allowing for adjustments to the oil film damper structure, thereby outputting an oil film damper structure that meets design requirements. This invention can simulate the support environment of a real aero-engine rotor with high fidelity and solves the problem of insufficient measurement dimensions in the rotor synchronous monitoring scheme of dual-rotor test chambers.

Description

Technical Field

[0001] This invention relates to the field of aero-engine technology and discloses a design method and system for a test instrument simulating the dynamics of a complex rotor system. Background Technology

[0002] High-speed rotating machinery such as aero engines, gas turbines, and high-speed centrifugal compressors generally adopt a dual-rotor (high-pressure and low-pressure rotor) structure. The operating speed often spans multiple critical speeds. The rotor dynamic characteristics, including critical speed deviation, oil film oscillation, unbalanced response amplification, and high- and low-pressure rotor coupled vibration, directly determine the safety and lifespan of the rotor system and urgently need to be addressed through experimental verification and design.

[0003] Existing testing techniques have the following limitations:

[0004] 1. Single rotor test bench dominates: Traditional dynamic test benches are mostly designed for single rotor systems and cannot simulate the dynamic coupling effect between two rotors, that is, the vibration transmission through intermediate supports.

[0005] 2. Distortion problem of scaled-down model: Relying on the traditional single rotor tester to simulate the similarity design method of dynamics cannot accurately simulate the similarity of rotor and support stiffness in a dual rotor support system, resulting in the imbalance of critical speed ratio; the damping mechanism has a size effect, and the small-sized single rotor model is difficult to simulate the nonlinear damping effect.

[0006] 3. Severe simplification of the support system: The test benches mostly use rigid supports or simplified springs, which cannot reproduce the composite vibration reduction structure of elastic support + squeeze oil film damper in aero engines; the elastic support of intermediate supports has vibration isolation and variable stiffness effects.

[0007] 4. Parameters are not adjustable: Traditional design fixes the support stiffness and damping, making it impossible to study parameter sensitivity and optimization space.

[0008] 5. Insufficient measurement dimensions: There is a lack of synchronous monitoring schemes for the rotors of the dual-rotor tester. Summary of the Invention

[0009] The purpose of this invention is to provide a design method and system for a test instrument that simulates the dynamics of a complex rotor system, which can simulate the support environment of a real aero-engine rotor with high fidelity and solves the problem of insufficient measurement dimensions in the rotor synchronous monitoring scheme of a dual-rotor test instrument.

[0010] To achieve the above-mentioned technical effects, the technical solution adopted by the present invention is as follows:

[0011] A design method for a test instrument simulating the dynamics of a complex rotor system includes:

[0012] A one-dimensional dynamic parameterized model of the dual rotor support system is established, the dynamic characteristics of the dual rotor support system are calculated, and the mode shape vectors of each order are obtained; the dual rotor support system includes a squirrel cage, an oil film damper, and an end-sealing structure of the oil film damper;

[0013] Based on the principle of structural similarity, a three-dimensional solid similarity model of the dual rotor support system is established, and the mode shape vectors of each order of the similar model are obtained by simulation using the finite element analysis method.

[0014] Based on the mode shape vectors of each order of the one-dimensional dynamic parameterized model and the mode shape vectors of each order of the similar model, the parametric mode confidence and the associated mode confidence of the similar model are analyzed and obtained.

[0015] If the confidence level of the parametric modes of the similar model is within the first threshold range and the confidence level of the associated modes of the similar model is within the second threshold range, then the similar model meets the design requirements; otherwise, the three-dimensional solid similarity model of the dual rotor support system is adjusted based on the principle of structural similarity until the confidence level of the parametric modes of the similar model is within the first threshold range and the confidence level of the associated modes of the similar model is within the second threshold range.

[0016] Based on the configuration of the similar model, the total stiffness of the similar model is extracted, and the reference value of the oil film damper stiffness is obtained by analyzing the stiffness of the squirrel cage and the end seal stiffness in the dual rotor support system. The oil film damper structure is adjusted by using the finite element method so that the deviation between the oil film damper stiffness of the similar model and the reference value of the oil film damper stiffness is within a preset deviation range, and the adjusted oil film damper structure is output.

[0017] Furthermore, the parametric modal confidence of the similarity model ,in For the similar model number The first-order mode and the first-order one-dimensional dynamic parameterized model The degree of similarity between the first and second modes. For the one-dimensional dynamic parameterization model in the first... First-order mode shape vector, For the similar model in the first First-order mode shape vector, It is the transpose symbol. , The total modal order is used for evaluation.

[0018] Furthermore, the confidence level of the associated modalities of the similarity model ,in, For the similar model in the first The confidence level of the associated modes of the first mode. For the one-dimensional dynamic parameterization model in the first... The first mode under the first mode Vibration displacement at the node For the similar model in the first The first mode under the first mode Vibration displacement at the node.

[0019] Furthermore, the reference value for the stiffness of the oil film damper according to Analysis yielded, among which The total stiffness of the similar model is, For the rigidity of the rat cage, For end cap stiffness, This refers to the support stiffness of the bearing on the oil film damper.

[0020] To achieve the above-mentioned technical effects, the present invention also provides a design system for a test apparatus for simulating the dynamics of a complex rotor system, comprising:

[0021] The one-dimensional dynamics analysis module is used to establish a one-dimensional dynamics parameterized model of the dual rotor support system, calculate the dynamic characteristics of the dual rotor support system, and obtain the mode shape vectors of each order; the dual rotor support system includes a squirrel cage, an oil film damper, and the end seal structure of the oil film damper.

[0022] The similarity model analysis module is used to establish a three-dimensional solid similarity model of the dual rotor support system based on the principle of structural similarity, and to obtain the mode shape vectors of each order of the similar model by finite element analysis.

[0023] The confidence analysis module is used to analyze and obtain the parametric mode confidence and associated mode confidence of the similar model based on the mode shape vectors of each order of the one-dimensional dynamic parameterized model and the mode shape vectors of each order of the similar model.

[0024] The analysis and adjustment module is used to determine that the similar model meets the design requirements when the confidence level of the parametric modal of the similar model is in the first threshold range and the confidence level of the associated modal of the similar model is in the second threshold range; otherwise, it adjusts the three-dimensional solid similar model of the dual rotor support system based on the principle of structural similarity until the confidence level of the parametric modal of the similar model is in the first threshold range and the confidence level of the associated modal of the similar model is in the second threshold range.

[0025] The damper structure optimization module is used to extract the total stiffness of the similar model based on its configuration, and to analyze and obtain the reference value of the oil film damper stiffness based on the stiffness of the squirrel cage and the end seal stiffness in the dual rotor support system. The oil film damper structure is adjusted using the finite element method so that the deviation between the oil film damper stiffness of the similar model and the reference value of the oil film damper stiffness is within a preset deviation range, and the adjusted oil film damper structure is output.

[0026] Furthermore, in the confidence analysis module, the parametric modal confidence of the similarity model... ,in For the similar model number The first-order mode and the first-order one-dimensional dynamic parameterized model The degree of similarity between the first and second modes. For the one-dimensional dynamic parameterization model in the first... First-order mode shape vector, For the similar model in the first First-order mode shape vector, It is the transpose symbol. , The total modal order is used for evaluation.

[0027] Furthermore, in the confidence analysis module, the confidence of the association modality of the similarity model... ,in, For the similar model in the first The confidence level of the associated modes of the first mode. For the one-dimensional dynamic parameterization model in the first... The first mode under the first mode Vibration displacement at the node For the similar model in the first The first mode under the first mode Vibration displacement at the node.

[0028] Furthermore, in the damper structure optimization module, the reference value for the stiffness of the oil film damper... according to Analysis yielded, among which The total stiffness of the similar model is, For the rigidity of the rat cage, For end cap stiffness, This refers to the support stiffness of the bearing on the oil film damper.

[0029] Compared with existing technologies, the beneficial effects of this invention are as follows: This invention analyzes the mode shape vectors of each order in the one-dimensional dynamic parameterized model of the dual-rotor support system, as well as the mode shape vectors of each order in the similar model, to calculate the parametric mode confidence and associated mode confidence of the similar model; using the two mode confidences as evaluation criteria, a high-confidence similar model is obtained by adjusting the similar model; based on the total stiffness, support stiffness, squirrel cage stiffness, and end seal stiffness of the similar model, the reference value of the oil film damper stiffness is obtained to adjust the oil film damper structure, thereby outputting an oil film damper structure that meets the design requirements. This can simulate the support environment of a real aero-engine rotor with high fidelity, solving the problem of insufficient measurement dimensions in the rotor synchronous monitoring scheme of the dual-rotor tester. Attached Figure Description

[0030] Figure 1 This is a flowchart of the design method for a test apparatus simulating the dynamics of a complex rotor system in Example 1 or 2;

[0031] Figure 2 Design a system structure block diagram for the test instrument simulating the dynamics of a complex rotor system in Example 1;

[0032] Figure 3 This is a simplified model diagram of the stiffness of the dual rotor support system in Example 2;

[0033] The module includes: 1. One-dimensional dynamic analysis module; 2. Similarity model analysis module; 3. Confidence analysis module; 4. Analysis and adjustment module; and 5. Damper structure optimization module. Detailed Implementation

[0034] The present invention will now be described in further detail with reference to the embodiments and accompanying drawings. However, this should not be construed as limiting the scope of the above-described subject matter of the present invention to the following embodiments; all technologies implemented based on the content of the present invention fall within the scope of the present invention.

[0035] Example 1

[0036] See Figures 1 to 3 A design method for a test instrument simulating the dynamics of a complex rotor system, comprising:

[0037] A one-dimensional dynamic parameterized model of the dual rotor support system is established, the dynamic characteristics of the dual rotor support system are calculated, and the mode shape vectors of each order are obtained; the dual rotor support system includes a squirrel cage, an oil film damper, and an end-sealing structure of the oil film damper;

[0038] Based on the principle of structural similarity, a three-dimensional solid similarity model of the dual rotor support system is established, and the mode shape vectors of each order of the similar model are obtained by simulation using the finite element analysis method.

[0039] Based on the mode shape vectors of each order of the one-dimensional dynamic parameterized model and the mode shape vectors of each order of the similar model, the parametric mode confidence and the associated mode confidence of the similar model are analyzed and obtained.

[0040] If the confidence level of the parametric modes of the similar model is within the first threshold range and the confidence level of the associated modes of the similar model is within the second threshold range, then the similar model meets the design requirements; otherwise, the three-dimensional solid similarity model of the dual rotor support system is adjusted based on the principle of structural similarity until the confidence level of the parametric modes of the similar model is within the first threshold range and the confidence level of the associated modes of the similar model is within the second threshold range.

[0041] Based on the configuration of the similar model, the total stiffness of the similar model is extracted, and the reference value of the oil film damper stiffness is obtained by analyzing the stiffness of the squirrel cage and the end seal stiffness in the dual rotor support system. The oil film damper structure is adjusted by using the finite element method so that the deviation between the oil film damper stiffness of the similar model and the reference value of the oil film damper stiffness is within a preset deviation range, and the adjusted oil film damper structure is output.

[0042] In this embodiment, a one-dimensional dynamic parameterized model is established to obtain the mode shape vectors of each order. Based on the principle of structural similarity, a three-dimensional solid similar model is constructed. The mode shape vectors of each order of the similar model are simulated using the finite element analysis method to calculate the parametric mode confidence and associated mode confidence of the similar model. Using the two mode confidences as evaluation criteria, the similar model is adjusted to obtain a high-confidence similar model. By extracting the total stiffness of the similar model that meets the requirements, and combining it with the stiffness of the squirrel cage and the end seal stiffness, the reference value of the oil film damper stiffness is obtained. Based on the reference value of the oil film damper stiffness, the oil film damper structure is adjusted to output an oil film damper structure that meets the design requirements, thus solving the problem of insufficient measurement dimensions in the rotor synchronous monitoring scheme of the dual rotor tester.

[0043] Based on the same inventive concept, this embodiment also provides a design system for a test apparatus for simulating the dynamics of a complex rotor system, comprising:

[0044] One-dimensional dynamic analysis module 1 is used to establish a one-dimensional dynamic parameterized model of the dual rotor support system, calculate the dynamic characteristics of the dual rotor support system, and obtain the mode shape vectors of each order; the dual rotor support system includes a squirrel cage, an oil film damper, and the end seal structure of the oil film damper;

[0045] Similarity model analysis module 2 is used to establish a three-dimensional solid similarity model of the dual rotor support system based on the principle of structural similarity, and to obtain the mode shape vectors of each order of the similar model by finite element analysis.

[0046] The confidence analysis module 3 is used to analyze and obtain the parametric mode confidence and associated mode confidence of the similar model based on the mode shape vectors of each order of the one-dimensional dynamic parameterized model and the mode shape vectors of each order of the similar model.

[0047] The analysis and adjustment module 4 is used to determine that the similar model meets the design requirements when the confidence level of the parametric modal of the similar model is in the first threshold range and the confidence level of the associated modal of the similar model is in the second threshold range; otherwise, it adjusts the three-dimensional solid similar model of the dual rotor support system based on the principle of structural similarity until the confidence level of the parametric modal of the similar model is in the first threshold range and the confidence level of the associated modal of the similar model is in the second threshold range.

[0048] The damper structure optimization module 5 is used to extract the total stiffness of the similar model based on the configuration of the similar model, and to analyze and obtain the reference value of the oil film damper stiffness based on the stiffness of the squirrel cage and the end seal stiffness in the dual rotor support system; to adjust the oil film damper structure using the finite element method, so that the deviation between the oil film damper stiffness of the similar model and the reference value of the oil film damper stiffness is within a preset deviation range, and to output the adjusted oil film damper structure.

[0049] Example 2

[0050] See Figure 1 and Figure 3 A design method for a test instrument simulating the dynamics of a complex rotor system, comprising:

[0051] S1. Establish a one-dimensional dynamic parameterized model of the dual rotor support system, calculate the dynamic characteristics of the dual rotor support system, and obtain the mode shape vectors of each order; the dual rotor support system includes a squirrel cage, an oil film damper, and the end seal structure of the oil film damper.

[0052] In this embodiment, the complex prototype dual-rotor support system (including a high-pressure rotor, a low-pressure rotor, a squirrel cage, an oil film damper, and end seals, etc.) is simplified into a one-dimensional dynamic parameterized model. This model uses beam elements to simulate the shaft, concentrated mass points to simulate the wheel disk, and introduces linear spring-damping elements to characterize the support characteristics, thereby efficiently calculating the rotor's critical speeds and mode shape vectors.

[0053] Meanwhile, the established one-dimensional dynamic parameterized model can combine the actual working environment and manufacturing constraints (such as material properties, installation space, maximum allowable stress, etc.) to determine the variable design range of key geometric and structural parameters of the dual rotor support system, providing constraints for subsequent optimization.

[0054] S2. Based on the principle of structural similarity, a three-dimensional solid similarity model of the dual rotor support system is established, and the mode shape vectors of each order of the similar model are obtained by simulation using the finite element analysis method.

[0055] S3. Based on the mode shape vectors of each order of the one-dimensional dynamic parameterized model and the mode shape vectors of each order of the similar model, analyze and obtain the parametric mode confidence and the associated mode confidence of the similar model;

[0056] In this embodiment, the similarity of modal shapes is the most critical evaluation index in the dynamic similarity design of the dual-rotor support system. This embodiment uses parametric modal confidence (MAC) and correlated modal confidence (COMAC) as the core criteria for quantitatively evaluating the consistency between the similar model and the reference prototype.

[0057] Parametric modal confidence of the similar model ,in For the similar model number The first-order mode and the first-order one-dimensional dynamic parameterized model The degree of similarity between the first and second modes. For the one-dimensional dynamic parameterization model in the first... First-order mode shape vector, For the similar model in the first First-order mode shape vector, It is the transpose symbol. , The total modal order is used for evaluation; the parametric modal confidence score (MAC) is used to assess the correlation between the mode shape vectors of corresponding orders of two models.

[0058] Associated Modal Confidence (COMAC) is used to evaluate the consistency of mode shape vectors at all nodes between two models across all modes of interest, reflecting the comprehensive similarity across multiple modes. The associated modal confidence of the similar models is... ,in, For the similar model in the first The confidence level of the associated modes of the first mode. For the one-dimensional dynamic parameterization model in the first... The first mode under the first mode Vibration displacement at the node For the similar model in the first The first mode under the first mode Vibration displacement at the node.

[0059] S4. If the parametric modal confidence (MAC) of the similar model is within the first threshold range and the associated modal confidence (COMAC) of the similar model is within the second threshold range, then the similar model meets the design requirements. Otherwise, the three-dimensional solid similarity model of the dual rotor support system is adjusted based on the principle of structural similarity until the parametric modal confidence (MAC) of the similar model is within the first threshold range and the associated modal confidence (COMAC) of the similar model is within the second threshold range.

[0060] In engineering practice, each element in the MAC matrix ( and The values ​​are all integers from 1 to N. It is generally believed that when the diagonal elements of the MAC matrix are ≥0.9 (or at least ≥0.7) and the off-diagonal elements are ≤0.1, the model has good correlation.

[0061] diagonal elements ( = This refers to the correlation between modes of the same order. For example, the element in the 3rd row and 3rd column of the matrix. This represents the degree of similarity between the third mode shape of the similar model and the third mode shape of the prototype. Ideally, the values ​​of these elements located on the diagonal of the matrix should be close to 1, indicating that the modes correspond correctly and have consistent shapes.

[0062] off-diagonal elements ( ≠ This refers to the correlation between different order mode shapes. For example, the element in the 2nd row and 3rd column of the matrix. This represents the degree of similarity between the second-order mode shape of the prototype and the third-order mode shape of a similar model. Ideally, the values ​​of these off-diagonal elements should be close to 0, indicating a clear distinction between modes.

[0063] Generally, a second threshold range of 0.8 to 1.0 for the COMAC value indicates good mode shape correlation between the two models at that node. In the initial stage of model modification, the goal can be set to increase the COMAC value of most nodes to 0.8 or above; for scenarios with strict accuracy requirements, a COMAC value higher than 0.9 or even 0.95 may be pursued.

[0064] Based on the above evaluation criteria, optimization algorithms (such as genetic algorithms and particle swarm optimization algorithms) are used to iteratively adjust the initial similar model structural parameters (such as shaft diameter, disk mass, support stiffness, etc.) within a defined variable parameter range, ultimately obtaining a high-confidence similar model.

[0065] Furthermore, in similar designs, it is even more important to focus on nodes with significantly low COAC values. These nodes indicate areas where there are significant differences between the model and the prototype, and are the key areas that need to be addressed in model correction. Nodes with COAC values ​​below 0.7 or 0.75 are generally considered to have insufficient relevance and need to be checked and optimized. In this process, the feasibility of the actual structure should be considered, and the similar model should be rationally improved (such as avoiding stress concentration and ensuring assembly manufacturability).

[0066] S5. Based on the configuration of the similar model, extract the total stiffness of the similar model, and analyze and obtain the reference value of the oil film damper stiffness based on the stiffness of the squirrel cage and the end seal stiffness in the dual rotor support system; use the finite element method to adjust the oil film damper structure so that the deviation between the oil film damper stiffness of the similar model and the oil film damper stiffness reference value is within a preset deviation range, and output the adjusted oil film damper structure.

[0067] In this embodiment, the reference value of the oil film damper stiffness according to Analysis yielded, among which The total stiffness of the similar model is, For the rigidity of the rat cage, For end cap stiffness, This refers to the support stiffness of the bearing on the oil film damper.

[0068] The above are merely preferred embodiments of the present invention and are not intended to limit the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

Claims

1. A design method for a test apparatus for simulating the dynamics of a complex rotor system, characterized in that, include: A one-dimensional dynamic parameterized model of the dual rotor support system is established, the dynamic characteristics of the dual rotor support system are calculated, and the mode shape vectors of each order are obtained; the dual rotor support system includes a squirrel cage, an oil film damper, and an end-sealing structure of the oil film damper; Based on the principle of structural similarity, a three-dimensional solid similarity model of the dual rotor support system is established, and the mode shape vectors of each order of the similar model are obtained by simulation using the finite element analysis method. Based on the mode shape vectors of each order of the one-dimensional dynamic parameterized model and the mode shape vectors of each order of the similar model, the parametric mode confidence and the associated mode confidence of the similar model are analyzed and obtained. If the confidence level of the parametric modes of the similar model is within the first threshold range and the confidence level of the associated modes of the similar model is within the second threshold range, then the similar model meets the design requirements; otherwise, the three-dimensional solid similarity model of the dual rotor support system is adjusted based on the principle of structural similarity until the confidence level of the parametric modes of the similar model is within the first threshold range and the confidence level of the associated modes of the similar model is within the second threshold range. Based on the configuration of the similar model, the total stiffness of the similar model is extracted, and the reference value of the oil film damper stiffness is obtained by analyzing the stiffness of the squirrel cage and the end seal stiffness in the dual rotor support system. The oil film damper structure is adjusted by using the finite element method so that the deviation between the oil film damper stiffness of the similar model and the reference value of the oil film damper stiffness is within a preset deviation range, and the adjusted oil film damper structure is output.

2. The design method for a simulated complex rotor system dynamics test apparatus according to claim 1, characterized in that, Parametric modal confidence of the similar model ,in For the similar model number The first-order mode and the first-order one-dimensional dynamic parameterized model The degree of similarity between the first and second modes. For the one-dimensional dynamic parameterization model in the first... First-order mode shape vector, For the similar model in the first First-order mode shape vector, It is the transpose symbol. , The total modal order is used for evaluation.

3. The design method for a simulated complex rotor system dynamics test apparatus according to claim 2, characterized in that, The correlation modal confidence of the similar models ,in, For the similar model in the first The confidence level of the associated modes of the first mode. For the one-dimensional dynamic parameterization model in the first... The first mode under the first mode Vibration displacement at the node For the similar model in the first The first mode under the first mode Vibration displacement at the node.

4. The design method for a simulated complex rotor system dynamics test apparatus according to claim 1, characterized in that, Reference value for stiffness of oil film damper according to Analysis yielded, among which The total stiffness of the similar model is, For the rigidity of the rat cage, For end cap stiffness, This refers to the support stiffness of the bearing on the oil film damper.

5. A design system for a test apparatus simulating the dynamics of a complex rotor system, characterized in that, include: The one-dimensional dynamics analysis module is used to establish a one-dimensional dynamics parameterized model of the dual rotor support system, calculate the dynamic characteristics of the dual rotor support system, and obtain the mode shape vectors of each order; the dual rotor support system includes a squirrel cage, an oil film damper, and the end seal structure of the oil film damper. The similarity model analysis module is used to establish a three-dimensional solid similarity model of the dual rotor support system based on the principle of structural similarity, and to obtain the mode shape vectors of each order of the similar model by finite element analysis. The confidence analysis module is used to analyze and obtain the parametric mode confidence and associated mode confidence of the similar model based on the mode shape vectors of each order of the one-dimensional dynamic parameterized model and the mode shape vectors of each order of the similar model. The analysis and adjustment module is used to determine that the similar model meets the design requirements when the confidence level of the parametric modal of the similar model is in the first threshold range and the confidence level of the associated modal of the similar model is in the second threshold range; otherwise, it adjusts the three-dimensional solid similar model of the dual rotor support system based on the principle of structural similarity until the confidence level of the parametric modal of the similar model is in the first threshold range and the confidence level of the associated modal of the similar model is in the second threshold range. The damper structure optimization module is used to extract the total stiffness of the similar model based on its configuration, and to analyze and obtain the reference value of the oil film damper stiffness based on the stiffness of the squirrel cage and the end seal stiffness in the dual rotor support system. The oil film damper structure is adjusted using the finite element method so that the deviation between the oil film damper stiffness of the similar model and the reference value of the oil film damper stiffness is within a preset deviation range, and the adjusted oil film damper structure is output.

6. The design system for a simulated complex rotor system dynamics test apparatus according to claim 5, characterized in that, In the confidence analysis module, the parametric modal confidence of the similarity model is... ,in For the similar model number The first-order mode and the first-order one-dimensional dynamic parameterized model The degree of similarity between the first and second modes. For the one-dimensional dynamic parameterization model in the first... First-order mode shape vector, For the similar model in the first First-order mode shape vector, It is the transpose symbol. , The total modal order is used for evaluation.

7. The design system for a simulated complex rotor system dynamics test apparatus according to claim 6, characterized in that, In the confidence analysis module, the association modality confidence of the similarity model ,in, For the similar model in the first The confidence level of the associated modes of the first mode. For the one-dimensional dynamic parameterization model in the first... The first mode under the first mode Vibration displacement at the node For the similar model in the first The first mode under the first mode Vibration displacement at the node.

8. The design system for a simulated complex rotor system dynamics test apparatus according to claim 5, characterized in that, In the damper structure optimization module, the oil film damper stiffness reference value according to Analysis yielded, among which The total stiffness of the similar model is, For the rigidity of the rat cage, For end cap stiffness, This refers to the support stiffness of the bearing on the oil film damper.

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