General Model Construction Method for Unsteady Chattering Force of Long Flexible Structures

Abstract

This invention discloses a method for constructing a general model of unsteady buffeting force for long and flexible structures, comprising: obtaining the one-wavenumber turbulent power spectrum and spanwise coherence function based on the turbulent field; obtaining the one-wavenumber power spectrum and spanwise coherence function of the buffeting force through wind tunnel tests; calculating the one-wavenumber aerodynamic admittance and establishing a spanwise correction term; combining the two to obtain the two-dimensional aerodynamic admittance; and finally establishing a general two-dimensional aerodynamic admittance model for long and flexible structures. This invention, for the first time, effectively separates the spanwise correlation effect by introducing a spanwise correction term, solving the problem of insufficient accuracy in traditional one-wavenumber aerodynamic admittance models. The general two-dimensional aerodynamic admittance model for long and flexible structures established by this invention can accurately characterize the unsteady aerodynamic characteristics under different cross-sectional shapes and wind field conditions, achieving high-precision prediction of buffeting force for long and flexible structures, providing a reliable theoretical basis for wind-resistant engineering design, and significantly improving computational efficiency and design safety.

Description

Technical Field

[0001] This invention belongs to the field of aerodynamic load measurement technology, specifically a method for constructing a general model of unsteady buffeting force for long flexible structures. Background Technology

[0002] Large wind turbine towers, long and flexible blades, transmission towers, and long-span bridges are all examples of long and flexible structures, and the assessment of their unsteady buffeting force is crucial for the structural wind resistance design safety. Currently, the buffeting load of this type of structure is generally obtained through wind tunnel pressure or force tests. Aerodynamic admittance is a key aerodynamic parameter characterizing the unsteady wind load of long and flexible structures. It is related not only to the structural cross-section but also to the turbulent wind field parameters, and currently, there is a lack of a universal aerodynamic admittance model. Taking pressure tests as an example, the one-wavenumber aerodynamic admittance obtained from the tests includes the influence of spanwise correlation, and there is a lack of corresponding theoretical basis for its parameter analysis. Summary of the Invention

[0003] In view of this, the purpose of this invention is to provide a general model construction method for unsteady buffeting force of long and flexible structures, which can be applied to aerodynamic admittance analysis and fitting for any cross section and any working condition.

[0004] To achieve the above objectives, the present invention provides the following technical solution:

[0005] A method for constructing a general model of unsteady buffeting force for long flexible structures includes the following steps:

[0006] Step 1: Based on the isotropic turbulence spectrum model in the grid turbulence field, obtain the wavenumber turbulence power spectrum and the spanwise turbulence coherence function;

[0007] Step 2: Based on the time history of the buffeting force obtained in the wind tunnel test using the synchronous pressure measurement method, obtain the wavenumber power spectrum and spanwise coherence function of the buffeting force;

[0008] Step 3: Based on the one-wavenumber turbulence power spectrum and the one-wavenumber buffeting force power spectrum, calculate the one-wavenumber aerodynamic admittance, and establish a spanwise correction term based on the spanwise coherence function of turbulence and the spanwise coherence function of buffeting force;

[0009] Step 4: Based on the wavenumber aerodynamic admittance and spanwise correction term, calculate the two-dimensional aerodynamic admittance to obtain the unsteady buffeting force of the long flexible structure;

[0010] Step 5: Based on two-dimensional aerodynamic admittance, a general model of two-dimensional aerodynamic admittance for long and flexible structures is proposed to describe the unsteady chattering force of long and flexible structures;

[0011] Based on experimental data, the data were analyzed and categorized. Combining the transformation characteristics between linear and logarithmic coordinate systems, a general two-dimensional aerodynamic admittance model for long and flexible structures was proposed. , is represented as:

[0012]

[0013] in: Represents a general two-dimensional aerodynamic admittance model for long and flexible structures; Wave number; , , , and All of these are parameters to be fitted, determined through experiments.

[0014] Furthermore, in step 1, the wavenumber turbulent power spectrum and the turbulent spanwise coherence function are obtained based on the von Kármán spectral model, wherein:

[0015] One-wave-number longitudinal turbulent power spectrum Represented as:

[0016]

[0017] in: This represents the longitudinal turbulent power spectrum at wave number 1; Represents the wave number, and , For frequency, Average wind speed; Represents the longitudinal turbulence integral scale; This represents the root mean square value of the longitudinal fluctuating wind, which is calculated from the time history of the longitudinal fluctuating wind.

[0018] Turbulent spanwise coherence function Represented as:

[0019]

[0020]

[0021] in: This represents a spanwise coherence function model for turbulence. Indicates spanwise spacing; These are the parameters in the spanwise coherence function of the longitudinal incoming flow; , and The parameters to be fitted are obtained by fitting the measured coherence function data of fluctuating wind with the spanwise coherence function model of turbulence.

[0022] Furthermore, in step 2, during the synchronous pressure measurement wind tunnel test, the buffeting force time history is obtained by integrating the pressure time history data from all pressure measurement holes on a single cross-section. The wavenumber spectrum of the buffeting force is obtained through spectral analysis of the buffeting force.

[0023] The spanwise coherence function model of the buffeting force is expressed as:

[0024]

[0025]

[0026] in: The height of the model; These are the parameters in the spanwise coherence function of the longitudinal incoming flow; The parameters in the spanwise coherence function representing the buffeting force; , and The parameters to be fitted are obtained by fitting the measured buffeting force coherence function data with the spanwise coherence function model.

[0027] Furthermore, in step 3, the wavenumber aerodynamic admittance... Represented as the transfer function between the buffeting force spectrum and the incoming fluctuating wind spectrum, its expression, according to the definition of one-wave-number aerodynamic admittance, is:

[0028]

[0029] in: For wavenumber aerodynamic admittance; air density; Average wind speed; For model height Half of; This represents the longitudinal turbulent power spectrum at wave number 1; It is a wavenumber spectrum of the fluttering force.

[0030] Furthermore, in step 3, the extensional correction term This indicates the magnitude of the three-dimensional effect, i.e., how much greater the correlation of the buffeting force is than the correlation of the incoming pulsating wind; according to the definition of the spanwise correction term, its expression is:

[0031]

[0032] in: This is a wavenumber expansion correction term; and These are the parameters in the spanwise coherence function of the longitudinal inflow and the buffeting force, respectively.

[0033] Furthermore, in step 4, the two-dimensional pneumatic admittance The result after removing the effects of spanwise correlation from the wavenumber aerodynamic admittance is expressed as:

[0034]

[0035] in: This represents the wavenumber aerodynamic admittance; This is a wavenumber expansion correction term.

[0036] Furthermore, it also includes step 6, which involves developing a general two-dimensional aerodynamic admittance model for long, flexible structures. The method for theoretical verification of fitting two-dimensional aerodynamic admittance functions for various structural cross-sections is as follows:

[0037] The general model of two-dimensional aerodynamic admittance of long and flexible structures is obtained by variable substitution. Convert to yx mode:

[0038]

[0039] In a double logarithmic coordinate system (zt):

[0040]

[0041]

[0042] The general model of two-dimensional aerodynamic admittance for long and flexible structures The expression in a double logarithmic coordinate system is:

[0043]

[0044] The slope of the left asymptote is:

[0045]

[0046] The slope of the right asymptote is:

[0047]

[0048] Extreme point coordinates for:

[0049]

[0050]

[0051] in: , , , and All of these are parameters to be fitted.

[0052] The beneficial effects of this invention are as follows:

[0053] The method for constructing a general model of unsteady chattering force for long and flexible structures in this invention has the following technical effects:

[0054] (1) High-precision prediction of unsteady buffeting force has been achieved. Traditional methods rely on wind tunnel tests to directly obtain loads, which fail to effectively separate and quantify the influence of spanwise correlation. This invention introduces a wavenumber aerodynamic admittance and establishes a spanwise correction term based on the spanwise coherence function of turbulence and buffeting force, and innovatively constructs a two-dimensional aerodynamic admittance, which fundamentally overcomes the limitations of the traditional wavenumber analysis model and significantly improves the theoretical depth and calculation accuracy of buffeting force identification.

[0055] (2) It has wide applicability and strong versatility. The two-dimensional aerodynamic admittance general model for long and flexible structures proposed in this invention can accurately describe the frequency domain distribution law of aerodynamic admittance of different structural sections under different turbulent conditions through fitable parameters. It solves the industry problem of insufficient adaptability of existing models and provides a unified and reliable analysis tool for the wind-resistant design of various long and flexible structures.

[0056] (3) It has both important theoretical and engineering value. Theoretically, it lays a solid foundation for revealing the flow mechanism of unsteady wind loads. In engineering, it greatly reduces the reliance on repetitive wind tunnel tests, realizes rapid and accurate prediction of buffeting force, and provides key technical support for the safety design and performance optimization of wind-sensitive structures such as large wind turbines and long-span bridges, with outstanding economic and safety benefits. Attached Figure Description

[0057] To make the objectives, technical solutions, and beneficial effects of this invention clearer, the following figures are provided for illustration:

[0058] Figure 1 The provided information includes the arrangement of pressure measuring holes for four different cross-section wind tunnel test models during wind tunnel testing.

[0059] Figure 2 This is a flowchart of the method for constructing a general model of unsteady chattering force for long flexible structures according to the present invention;

[0060] Figure 3 This is a longitudinal pulsating wind spectrum diagram from a wind tunnel test.

[0061] Figure 4 The spanwise coherence function of longitudinal pulsating wind during wind tunnel testing;

[0062] Figure 5 The wavenumber spectrum of buffeting force for four cross-sectional models under the same scale ratio;

[0063] Figure 6 The figure shows the fitting results of the spanwise coherence function and the double exponential coherence function of the buffeting force under the same scale ratio.

[0064] Figure 7 The wavenumber aerodynamic admittance of the four models is given under the same scale ratio.

[0065] Figure 8 The two-dimensional aerodynamic admittance of the four models under the same scale ratio;

[0066] Figure 9 The fitting effect of the two-dimensional aerodynamic admittance of the four models with the general fluttering force model proposed in this invention is shown. Detailed Implementation

[0067] The present invention will be further described below with reference to the accompanying drawings and specific embodiments, so that those skilled in the art can better understand and implement the present invention. However, the embodiments described are not intended to limit the present invention.

[0068] like Figure 1 As shown in (a)-(d) of this example, four different cross-sectional models were used to verify the accuracy and applicability of the proposed general two-dimensional aerodynamic admittance model with a long, flexible structure. The four cross-sections are: rectangular (length-to-width ratio 2.2:1), square, circular, and elliptical (length-to-width ratio 2.2:1). All four models have the same width of 110 mm and a length of 900 mm. The test model was placed on a grid. The wind speed in the turbulent field was measured using a cobra probe, and its longitudinal turbulence characteristics can be described using the von Kármán spectrum.

[0069] like Figure 2 As shown in this embodiment, the method for constructing a general model of unsteady chattering force for long and flexible structures includes the following steps.

[0070] Step 1: Based on the isotropic turbulence spectrum model in the grid turbulence field, obtain the wavenumber turbulence power spectrum and the spanwise turbulence coherence function.

[0071] Specifically, the wavenumber turbulence power spectrum and the spanwise turbulence coherence function are obtained based on the von Kármán spectral model, where:

[0072] like Figure 3 As shown, Figure 3 In Figures (a) and (b), the fitting results of the one-wavenumber spectrum and the von Kármán spectrum for longitudinal turbulence are shown, respectively. In this embodiment, the one-wavenumber longitudinal turbulence power spectrum... Represented as:

[0073]

[0074] in: This represents the longitudinal turbulent power spectrum at wave number 1; Represents the wave number, and , For frequency, In this embodiment, the average wind speed is... ; The longitudinal turbulence integral scale is obtained by fitting the wind field data using the von Kármán spectrum. This represents the root mean square value of the longitudinal fluctuating wind, which is calculated from the time history of the longitudinal fluctuating wind.

[0075] like Figure 4 Figures (a) and (b) show the fitting results between the spanwise coherence function model and the actual coherence function for longitudinal turbulence. Specifically, the spanwise coherence function for turbulence... Represented as:

[0076]

[0077]

[0078] in: This represents a spanwise coherence function model for turbulence. Indicates spanwise spacing; These are the parameters in the spanwise coherence function of the longitudinal incoming flow; , and The parameters to be fitted are obtained by fitting the measured coherence function data of fluctuating wind with the turbulent spanwise coherence function model. In this embodiment, measured turbulent coherence function data at different frequencies and spanwise spacings are collected, and the least squares method is used to fit the turbulent spanwise coherence function. By fitting the model with the coherence function data of the measured fluctuating wind, we obtain... , and The optimal parameter values.

[0079] To ensure that the four models are at the same scale ratio ( Under this embodiment, two integral scales of turbulent flow fields are provided, and the parameters of the two turbulent flow fields are as follows: Turbulent flow field 1: Represents the longitudinal turbulence integral scale. Represents the root mean square value of the longitudinal fluctuation component; Turbulent field 2: Represents the longitudinal turbulence integral scale; This represents the root mean square value of the longitudinal fluctuation component. The rectangular and elliptical models in turbulent field 1 have a scale ratio of... The square and circular models in turbulent field 2 have a scale ratio of [missing value]. . This represents the longitudinal turbulent power spectrum at wave number 1; This represents the spanwise coherence function model, where It contains 3 parameters to be fitted , and This needs to be obtained by fitting a coherence function. In this embodiment, the fitted parameters are: .

[0080] Step 2: Based on the buffeting force time history obtained from the synchronous pressure measurement wind tunnel test, integrate the pressure time history data from all pressure measurement holes on a cross section to obtain the buffeting force time history. Performing corresponding spectral analysis on this data yields the wavenumber power spectrum and spanwise coherence function of the buffeting force. Specifically, the synchronous pressure measurement wind tunnel test involves arranging multiple pressure sensors on the model surface to synchronously collect pressure time histories at each point, and then calculating the overall buffeting force time history through integration. For example... Figure 5 and Figure 6 Figures (a)-(d) show the buffeting force-wavenumber spectra of the four models, and the fitting results of the buffeting force-wavenumber coherence function of the four models with the double exponential model at the same scale ratio.

[0081] Specifically, the wavenumber spectrum of the buffeting force is obtained by performing spectral analysis on the buffeting force.

[0082] The spanwise coherence function model of the buffeting force is expressed as:

[0083]

[0084]

[0085] in: The height of the model; These are the parameters in the spanwise coherence function of the longitudinal incoming flow; The parameters in the spanwise coherence function representing the buffeting force; , and The parameters to be fitted are obtained by fitting the measured buffeting force coherence function data with the spanwise coherence function model. In this embodiment, measured data of the buffeting force spanwise coherence function at different frequencies are collected, and the least squares method is used to fit the spanwise coherence function. The model was fitted with the coherence function data of the buffeting force to obtain... , and The optimal parameter values.

[0086] Specifically, the fitted parameters are: Square: , , ;rectangle: , , ; circle: , , ; oval shape: , , .

[0087] Step 3: Calculate the wavenumber aerodynamic admittance based on the wavenumber turbulent power spectrum and the wavenumber buffeting force power spectrum, and establish a spanwise correction term based on the spanwise coherence function of turbulence and the spanwise coherence function of buffeting force.

[0088] like Figure 7 The figure shows the one-wavenumber aerodynamic admittance for four models under the same scale ratio. The one-wavenumber aerodynamic admittance formula is derived based on quasi-steady aerodynamic theory and is used to describe the frequency domain transfer relationship between turbulent wind and buffeting force. Specifically, the calculation of the one-wavenumber aerodynamic admittance requires the one-wavenumber spectrum of the longitudinal incoming flow and the one-wavenumber spectrum of the buffeting drag. Represented as the transfer function between the buffeting force spectrum and the incoming fluctuating wind spectrum, its expression, according to the definition of one-wave-number aerodynamic admittance, is:

[0089]

[0090] in: For wavenumber aerodynamic admittance; air density; Average wind speed; For model height Half of; This represents the longitudinal turbulent power spectrum at wave number 1; It is a wavenumber spectrum of the fluttering force.

[0091] The spanwise correction term is established based on the physical meaning of the coherence functions of turbulence and buffeting force, and is used to separate the influence of spanwise correlation on aerodynamic admittance. Specifically, based on the physical meaning of the coherence functions of turbulence and buffeting force, the spanwise correction term proposed in this embodiment... This indicates the magnitude of the three-dimensional effect, that is, how much greater the correlation of the buffeting force is than the correlation of the incoming pulsating wind. According to the definition of the spanwise correction term, its expression is:

[0092]

[0093] in: This is a wavenumber expansion correction term; and These are the parameters in the spanwise coherence function of the longitudinal inflow and the buffeting force, respectively.

[0094] From the perspective of the revision item As can be seen from the expression, the wavenumber spanwise correction term depends on the fitting result of the coherent function of the longitudinal inflow and the buffeting force, and its fitting accuracy is directly related to the accuracy of the wavenumber spanwise correction term calculation.

[0095] Step 4: Calculate the two-dimensional aerodynamic admittance based on the wavenumber aerodynamic admittance and spanwise correction term. .like Figure 8The figure shows the two-dimensional aerodynamic admittance for four models under the same scale ratio. Two-dimensional aerodynamic admittance The aerodynamic admittance, obtained by dividing the wavenumber aerodynamic admittance by the spanwise correction term, reflects the pure cross-sectional aerodynamic characteristics. Specifically, the two-dimensional aerodynamic admittance... The physical meaning is as follows: Numerous experimental results have demonstrated that the spanwise correlation of buffeting force is higher than that of incoming pulsating wind (this is the three-dimensional effect), a phenomenon not reflected in one-wave-number aerodynamic admittance. Spanwise correlation describes the magnitude of the three-dimensional effect, while two-dimensional aerodynamic admittance... This can be expressed as the result after removing the effects of spanwise correlation from the one-wavenumber aerodynamic admittance. Specifically, the two-dimensional aerodynamic admittance... Represented as:

[0096]

[0097] in: This represents the wavenumber aerodynamic admittance; This is a wavenumber expansion correction term.

[0098] Step 5: Based on two-dimensional aerodynamic admittance, a general model of two-dimensional aerodynamic admittance for long and flexible structures is proposed to describe the unsteady chattering force of long and flexible structures.

[0099] General model of two-dimensional aerodynamic admittance for long and flexible structures The proposed model is based on the morphological analysis of two-dimensional aerodynamic admittance curves under various cross-sections and operating conditions. Its parameters are determined by nonlinearly fitting the model with measured two-dimensional aerodynamic admittance data. Specifically, the measured two-dimensional aerodynamic admittance differs for different models under different operating conditions, which forms the basis for unsteady analysis. Through the analysis of the two-dimensional aerodynamic admittance characteristics of various models under different inflow conditions, the experimental data is analyzed and categorized mathematically. Combining the transformation characteristics between linear and logarithmic coordinate systems, this embodiment proposes a general two-dimensional aerodynamic admittance model for long and flexible structures. , is represented as:

[0100]

[0101] in: Represents a general two-dimensional aerodynamic admittance model for long and flexible structures; Wave number; , , , and All parameters are to be fitted and determined experimentally. This is the general two-dimensional aerodynamic admittance model for long, flexible structures. With two-dimensional aerodynamic admittance By fitting the result to the given information, we can obtain the desired outcome. , , , and The value of . Different two-dimensional aerodynamic admittance will be obtained under different operating conditions. In this way, multiple combinations of parameters to be fitted can be obtained, and the parameters to be fitted can be analyzed.

[0102] like Figure 8 As shown, the two-dimensional aerodynamic admittance of four models at the same scale ratio is illustrated. Figure 9 As shown, the results of fitting the two-dimensional aerodynamic admittance of four models using the general buffeting force model proposed in this embodiment are illustrated in Table 1. The fitting parameters are shown in Table 1. Figure 9 As can be seen from (a)-(d) in the figure, the general buffeting force model fits very well for different cross-section types, proving the accuracy and wide applicability of the model.

[0103] Table 1 Parameter Fitting Results

[0104]

[0105] Step 6: Develop a general two-dimensional aerodynamic admittance model for long, flexible structures. Theoretical verification was performed to fit the two-dimensional aerodynamic admittance function of various structural cross sections.

[0106] Experiments show that different models exhibit different attenuations in two-dimensional aerodynamic admittance at low and high frequencies under different operating conditions, and traditional aerodynamic admittance models cannot effectively simulate this situation. The model proposed in this embodiment takes this situation into account, and the following verification is performed through theoretical analysis.

[0107] The general model of two-dimensional aerodynamic admittance of long and flexible structures is obtained by variable substitution. Convert to yx mode:

[0108]

[0109] In a double logarithmic coordinate system (zt):

[0110]

[0111]

[0112] The general model of two-dimensional aerodynamic admittance for long and flexible structures The expression in a double logarithmic coordinate system is:

[0113]

[0114] The slope of the left asymptote is:

[0115]

[0116] The slope of the right asymptote is:

[0117]

[0118] Extreme point coordinates for:

[0119]

[0120]

[0121] in: , , , and All of these are parameters to be fitted.

[0122] The above-described embodiments are merely preferred embodiments provided to fully illustrate the present invention, and the scope of protection of the present invention is not limited thereto. Equivalent substitutions or modifications made by those skilled in the art based on the present invention are all within the scope of protection of the present invention. The scope of protection of the present invention is defined by the claims.

Claims

1. A method for constructing a general model of unsteady chattering force in a long, flexible structure, characterized in that: Includes the following steps: Step 1: Based on the isotropic turbulence spectrum model in the grid turbulence field, obtain the wavenumber turbulence power spectrum and the spanwise turbulence coherence function; Step 2: Based on the time history of the buffeting force obtained in the wind tunnel test using the synchronous pressure measurement method, obtain the wavenumber power spectrum and spanwise coherence function of the buffeting force; Step 3: Based on the one-wavenumber turbulence power spectrum and the one-wavenumber buffeting force power spectrum, calculate the one-wavenumber aerodynamic admittance, and establish a spanwise correction term based on the spanwise coherence function of turbulence and the spanwise coherence function of buffeting force; Step 4: Based on the wavenumber aerodynamic admittance and spanwise correction term, calculate the two-dimensional aerodynamic admittance to obtain the unsteady buffeting force of the long flexible structure; Step 5: Based on two-dimensional aerodynamic admittance, a general model of two-dimensional aerodynamic admittance for long and flexible structures is proposed to describe the unsteady chattering force of long and flexible structures; Based on experimental data, the data were analyzed and categorized. Combining the transformation characteristics between linear and logarithmic coordinate systems, a general two-dimensional aerodynamic admittance model for long and flexible structures was proposed. , is represented as: in: Represents a general two-dimensional aerodynamic admittance model for long and flexible structures; Wave number; , , , and All of these are parameters to be fitted, determined through experiments.

2. The method for constructing a general model of unsteady chattering force for long flexible structures according to claim 1, characterized in that: In step 1, the one-wavenumber turbulent power spectrum and the spanwise turbulent coherence function are obtained based on the von Kármán spectral model, wherein: One-wave-number longitudinal turbulent power spectrum Represented as: in: This represents the longitudinal turbulent power spectrum at wave number 1; Represents the wave number, and , For frequency, Average wind speed; Represents the longitudinal turbulence integral scale; This represents the root mean square value of the longitudinal fluctuating wind, which is calculated from the time history of the longitudinal fluctuating wind. Turbulent spanwise coherence function Represented as: in: This represents a spanwise coherence function model for turbulent flow. Indicates spanwise spacing; These are the parameters in the spanwise coherence function of the longitudinal incoming flow; , and The parameters to be fitted are obtained by fitting the measured coherence function data of fluctuating wind with the spanwise coherence function model of turbulence.

3. The method for constructing a general model of unsteady chattering force for long and flexible structures according to claim 1, characterized in that: In step 2, in the wind tunnel test of the synchronous pressure measurement method, the time history of the buffeting force is obtained by integrating the pressure time history data of all pressure measurement holes on a cross section, and the wavenumber spectrum of the buffeting force is obtained by spectral analysis of the time history of the buffeting force. The spanwise coherence function model of the buffeting force is expressed as: in: The height of the model; These are the parameters in the spanwise coherence function of the longitudinal incoming flow; The parameters in the spanwise coherence function representing the buffeting force; , and The parameters to be fitted are obtained by fitting the measured buffeting force coherence function data with the spanwise coherence function model.

4. The method for constructing a general model of unsteady chattering force for long flexible structures according to claim 1, characterized in that: In step 3, the wavenumber aerodynamic admittance Represented as the transfer function between the buffeting force spectrum and the incoming fluctuating wind spectrum, its expression, according to the definition of one-wave-number aerodynamic admittance, is: in: For wavenumber aerodynamic admittance; air density; Average wind speed; For model height Half of; This represents the longitudinal turbulent power spectrum at wave number 1; It is a wavenumber spectrum of the fluttering force.

5. The method for constructing a general model of unsteady chattering force for long and flexible structures according to claim 1, characterized in that: In step 3, the spanwise correction term This indicates the magnitude of the three-dimensional effect, specifically how much greater the correlation between buffeting force and incoming pulsating wind is; based on the spanwise correction term. The definition of is expressed as: in: This is a wavenumber expansion correction term; and These are the parameters in the spanwise coherence function of the longitudinal inflow and the buffeting force, respectively.

6. The method for constructing a general model of unsteady chattering force for long flexible structures according to claim 1, characterized in that: In step 4, the two-dimensional pneumatic admittance The result after removing the effects of spanwise correlation from the wavenumber aerodynamic admittance is expressed as: in: This represents the wavenumber aerodynamic admittance; This is a wavenumber expansion correction term.

7. The method for constructing a general model of unsteady chattering force for long and flexible structures according to claim 1, characterized in that: It also includes step 6, which involves developing a general two-dimensional aerodynamic admittance model for long, flexible structures. The method for theoretical verification of fitting two-dimensional aerodynamic admittance functions for various structural cross-sections is as follows: The general model of two-dimensional aerodynamic admittance of long and flexible structures is obtained by variable substitution. Convert to yx mode: In a double logarithmic coordinate system (zt): The general model of two-dimensional aerodynamic admittance for long and flexible structures The expression in a double logarithmic coordinate system is: The slope of the left asymptote is: The slope of the right asymptote is: Extreme point coordinates for: in: , , , and All of these are parameters to be fitted.

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