Method and system for evaluating wind load and wind-induced effect of complex lattice frame structure

Abstract

The application discloses a wind load and wind-induced effect evaluation method and system of a complex lattice frame structure, obtains a plurality of typical segments from the complex lattice frame structure, and establishes a typical segment model for each typical segment. The wind load and wind-induced effect of the complex lattice frame structure are evaluated from the local to the whole and from the model to the actual structure, the structural characteristics of the complex lattice frame structure are considered, and therefore, effective wind load and wind-induced effect evaluation of the complex lattice frame structure is realized.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of lattice frame structure wind resistance design, and particularly relates to a wind load and wind-induced effect evaluation method and system for complex lattice frame structures. BACKGROUND

[0002] Complex lattice frame structures are widely used, such as power transformation frame structures. Such structures are light in mass, small in damping ratio, and low in frequency, and are a typical wind-sensitive structure. The frequency distribution of the vibration modes of the structure is relatively dense, and the contribution of only the first-order vibration mode cannot be considered when evaluating the wind-induced effect of the structure. Moreover, due to the particularity of the structure, the surface wind load distribution information of the structure cannot be obtained by using multi-point pressure measurement wind tunnel test technology to carry out wind-induced effect evaluation of the structure, which hinders the development of wind resistance design of complex lattice frame structures. SUMMARY

[0003] The technical problem to be solved by the present application is to provide a wind load and wind-induced effect evaluation method and system for complex lattice frame structures, which can effectively evaluate the wind load and wind-induced effect of complex lattice frame structures.

[0004] To solve the above technical problem, one technical solution adopted by the present application is as follows:

[0005] A wind load and wind-induced effect evaluation method for complex lattice frame structures, comprising the following steps:

[0006] Typical segments are obtained from the complex lattice frame structure, and a typical segment model is established for each of the typical segments;

[0007] Different lateral spacings, vertical spacings, and front-back spacings between the typical segment models are determined, and a multi-weighing synchronous test wind tunnel test is performed on the multiple typical segment models based on the different lateral spacings, vertical spacings, and front-back spacings, to obtain the base shear of each of the typical segment models;

[0008] The wind load auto-spectrum, wind load cross-spectrum, and coherence function of the wind load auto-spectrum and the wind load cross-spectrum in the X-axis direction and the Y-axis direction of each of the typical segment models are obtained based on the base shear of each of the typical segment models, and the complex lattice frame structure is segmented based on the typical segment models to obtain a multi-particle degree of freedom model;

[0009] The load spectrum of the multi-particle degree of freedom model is calculated based on the wind load auto-spectrum and the coherence function, and the load spectrum of the multi-particle degree of freedom model is converted to obtain the load spectrum of the complex lattice frame structure;

[0010] The wind-induced effect of the complex lattice frame structure is evaluated based on the load spectrum of the complex lattice frame structure to obtain a wind vibration coefficient.

[0011] To solve the above technical problems, the present application adopts another technical solution:

[0012] A wind load and wind-induced effect evaluation system of a complex lattice frame structure, comprising a memory, a processor and a computer program stored in the memory and executable on the processor, wherein the processor implements the following steps when executing the computer program:

[0013] a plurality of typical segments are obtained from the complex lattice frame structure, and a typical segment model is established for each of the typical segments;

[0014] different lateral spacings, vertical spacings and front-back spacings between the typical segment models are determined, and a multi-bridge synchronous test wind tunnel test is performed on the plurality of typical segment models based on the different lateral spacings, vertical spacings and front-back spacings, to obtain the base shear of each of the typical segment models;

[0015] X-axis and Y-axis wind load auto-spectra, wind load cross-spectra and coherence functions of the wind load auto-spectra and the wind load cross-spectra of each of the typical segment models are obtained according to the base shear of each of the typical segment models, and the complex lattice frame structure is segmented based on the typical segment models to obtain a multi-particle degree of freedom model;

[0016] a load spectrum of the multi-particle degree of freedom model is calculated according to the wind load auto-spectra and the coherence functions, and the load spectrum of the multi-particle degree of freedom model is converted to obtain a load spectrum of the complex lattice frame structure;

[0017] wind-induced effect evaluation of the complex lattice frame structure is performed based on the load spectrum of the complex lattice frame structure to obtain a wind vibration coefficient.

[0018] The beneficial effects of the present application are that: a plurality of typical segments are obtained from the complex lattice frame structure, and a typical segment model is established for each typical segment, a multi-bridge synchronous test wind tunnel test is carried out on the plurality of typical segment models based on different lateral spacing, vertical spacing and front-back spacing, the base shear of each typical segment model is obtained, the wind load information of each typical segment model is obtained according to the base shear of each typical segment model, the complex lattice frame structure is segmented based on the typical segment model, a multi-particle degree of freedom model is obtained, the load spectrum of the multi-particle degree of freedom model is calculated according to the wind load information of each typical segment model calculated before, and the load spectrum of the actual structure (i.e. the complex lattice frame structure) is obtained by conversion, the wind-induced effect of the complex lattice frame structure is evaluated based on the load spectrum of the complex lattice frame structure, and the wind vibration coefficient is obtained. In this way, the wind load and wind-induced effect of the complex lattice frame structure are evaluated from the local to the whole and from the model to the actual structure, the structural characteristics of the complex lattice frame structure are considered, and therefore the effective wind load and wind-induced effect evaluation of the complex lattice frame structure is realized. BRIEF DESCRIPTION OF DRAWINGS

[0019] Figure 1 The step flow chart of the wind load and wind-induced effect evaluation method of the complex lattice frame structure is provided for the embodiment of the present application.

[0020] Figure 2 The structural schematic diagram of the wind load and wind-induced effect evaluation system of the complex lattice frame structure is provided for the embodiment of the present application.

[0021] Figure 3 The typical segment selection schematic diagram in the wind load and wind-induced effect evaluation method of the complex lattice frame structure is provided for the embodiment of the present application.

[0022] Figure 4 The multi-bridge synchronous test wind tunnel test schematic diagram in the wind load and wind-induced effect evaluation method of the complex lattice frame structure is provided for the embodiment of the present application.

[0023] Figure 5 The complex lattice frame structure segmentation schematic diagram in the wind load and wind-induced effect evaluation method of the complex lattice frame structure is provided for the embodiment of the present application. DETAILED DESCRIPTION

[0024] In order to explain the technical content, the achieved purposes and effects of the present application in detail, the following will be described in combination with the embodiments and the accompanying drawings.

[0025] Please refer to Figure 1 The wind load and wind-induced effect evaluation method of the complex lattice frame structure comprises the following steps:

[0026] obtaining a plurality of typical segments from the complex lattice frame structure, and establishing a typical segment model for each of the typical segments;

[0027] determining different lateral spacing, vertical spacing and front-back spacing between the typical segment models, and performing multi-bridge synchronous test wind tunnel test on the plurality of typical segment models based on the different lateral spacing, vertical spacing and front-back spacing, to obtain base shear of each of the typical segment models;

[0028] obtaining wind load self-spectrum, wind load cross-spectrum and coherence function of the wind load self-spectrum and the wind load cross-spectrum of each of the typical segment models according to the base shear of each of the typical segment models, and segmenting the complex lattice frame structure based on the typical segment models to obtain a multi-particle degree of freedom model;

[0029] calculating a load spectrum of the multi-particle degree of freedom model according to the wind load self-spectrum and the coherence function, and converting the load spectrum of the multi-particle degree of freedom model to obtain a load spectrum of the complex lattice frame structure;

[0030] performing wind-induced effect evaluation on the complex lattice frame structure based on the load spectrum of the complex lattice frame structure to obtain a wind vibration coefficient.

[0031] As can be seen from the above description, the beneficial effects of the present application are that a plurality of typical segments are obtained from the complex lattice frame structure, and a typical segment model is established for each of the typical segments, a plurality of typical segment models are first subjected to multi-bridge synchronous test wind tunnel test based on different lateral spacing, vertical spacing and front-back spacing, to obtain base shear of each of the typical segment models, wind load information of each of the typical segment models is obtained according to the base shear of each of the typical segment models, the complex lattice frame structure is segmented based on the typical segment models to obtain a multi-particle degree of freedom model, a load spectrum of the multi-particle degree of freedom model is calculated according to the previously calculated wind load information of each of the typical segment models, and is converted to obtain a load spectrum of the actual structure (i.e. the complex lattice frame structure), wind-induced effect evaluation is performed on the complex lattice frame structure based on the load spectrum of the complex lattice frame structure to obtain a wind vibration coefficient, and thus the wind load and wind-induced effect of the complex lattice frame structure are evaluated from the local to the whole and from the model to the actual structure, the structural characteristics of the complex lattice frame structure are considered, and thus effective wind load and wind-induced effect evaluation of the complex lattice frame structure is realized.

[0032] Further, the calculation of the load spectrum of the multi-particle degree of freedom model according to the wind load self-spectrum and the coherence function includes:

[0033]

[0034] In the formula, S represents the load spectrum of a multi-mass point degree-of-freedom model. mi (n m S represents the wind load autospectrum of the i-th degree of freedom in a multi-mass point model. mj (n m ) represents the wind load autospectrum of the j-th degree of freedom in a multi-mass point model, coh(n) m ) represents the coherence function.

[0035] As described above, the load spectrum of the multi-mass point degree-of-freedom model is calculated based on the wind load information obtained from experiments on multiple typical segment models, thus obtaining the wind load information of the overall structure accurately and quickly.

[0036] Furthermore, the process of converting the load spectrum of the multi-mass point degree-of-freedom model into the load spectrum of the complex lattice frame structure includes:

[0037]

[0038] In the formula, This represents the load spectrum of a complex lattice frame structure, where ρ represents air density, V represents average wind speed, and z represents the load spectrum of the complex lattice frame structure. i′ The elevation z represents the i-th degree of freedom of a complex lattice framework structure. j′ B represents the elevation of the j-th degree of freedom in a complex lattice framework structure. i′ B represents the characteristic width of the i-th degree of freedom in a complex lattice framework structure. j′ h represents the characteristic width of the j-th degree of freedom in a complex lattice framework structure. i′ h represents the characteristic height of the i-th degree of freedom in a complex lattice framework structure. j′ The characteristic height of the j-th degree of freedom of the complex lattice framework structure is represented by s, the complex lattice framework structure is represented by m, and B represents the typical segment model. s The characteristic width of the windward side of a complex lattice frame structure. z represents the average wind speed of a typical segment model at the reference height. i z represents the elevation of the typical segmental model in the i-th degree of freedom. j B represents the elevation of the typical segmental model in the j-th degree of freedom. i B represents the feature width of the i-th degree of freedom in a typical segmental model. j h represents the feature width of the j-th degree of freedom in a typical segmental model. i h represents the feature height of the i-th degree of freedom in a typical segmental model. j B represents the feature height of the j-th degree of freedom in a typical segmental model. m This represents the characteristic width of the windward side of a typical segmental model. The average wind speed of the complex lattice frame structure at the reference height is represented.

[0039] From the above description, it can be seen that the load spectrum of the complex lattice frame structure is obtained by converting the load spectrum of the multi-particle freedom model, and the dimensionless frequency and dimensionless spectrum similarity principle are used to accurately evaluate and calculate the load spectrum of the actual structure.

[0040] Further, the wind-induced effect evaluation of the complex lattice frame structure based on the load spectrum of the complex lattice frame structure obtains the wind vibration coefficient, which includes:

[0041] According to the random vibration theory, the generalized load spectrum of the kth mode and the generalized mass of the kth mode are calculated based on the load spectrum of the complex lattice frame structure using the mode combination method.

[0042] The kth mode root mean square displacement response of the complex lattice frame structure is calculated according to the generalized load spectrum of the kth mode and the generalized mass of the kth mode.

[0043] The displacement variance of the i-th degree of freedom of the complex lattice frame structure is calculated according to the kth mode root mean square displacement response.

[0044] The displacement root mean square of the i-th degree of freedom is determined according to the displacement variance of the i-th degree of freedom, and the displacement distribution of the i-th degree of freedom is obtained according to the static analysis.

[0045] The wind vibration coefficient of the i-th degree of freedom of the complex lattice frame structure is calculated according to the displacement root mean square of the i-th degree of freedom and the displacement distribution of the i-th degree of freedom.

[0046] From the above description, according to the random vibration theory, the generalized load spectrum of the kth mode and the generalized mass of the kth mode are calculated based on the load spectrum of the complex lattice frame structure using the mode combination method, the kth mode root mean square displacement response of the complex lattice frame structure is calculated according to the kth mode root mean square displacement response, the displacement variance of the i-th degree of freedom is calculated according to the kth mode root mean square displacement response, the displacement root mean square of the i-th degree of freedom is determined according to the displacement variance of the i-th degree of freedom, and the displacement distribution of the i-th degree of freedom is obtained according to the static analysis, and the wind vibration coefficient of the i-th degree of freedom of the complex lattice frame structure is calculated according to the displacement root mean square of the i-th degree of freedom and the displacement distribution of the i-th degree of freedom. Static wind-induced effect evaluation and dynamic wind-induced effect evaluation are combined, which can comprehensively and accurately evaluate the response of the structure under different wind load conditions, so as to optimize the design parameters, enhance the durability and safety of the structure, and be beneficial to the development of complex lattice frame wind resistance design.

[0047] Furthermore, the calculation of the generalized load spectrum and generalized mass of the k-th mode shape based on the load spectrum of the complex lattice frame structure using the modal combination method according to random vibration theory includes:

[0048]

[0049] In the formula, The generalized load spectrum represents the k-th mode shape. Denotes the vector of the k-th mode shape. This represents the transpose of a vector. Represents the load spectrum of complex lattice frame structures. Let M represent the generalized mass of the k-th mode shape, and M represent the mass matrix.

[0050] As described above, existing high-frequency force balance technology can only obtain the generalized force of the first-order linear mode of the structure and cannot consider the contribution of higher-order modes. Therefore, it is difficult to effectively evaluate the wind load and wind-induced effects of complex lattice frame structures. Based on the theory of random vibration, the modal combination method is used to calculate the generalized load spectrum and generalized mass of the k-th mode based on the load spectrum of the complex lattice frame structure. The calculation is simple and has high accuracy, and it considers the contribution of higher-order modes.

[0051] Further, the calculation of the root mean square displacement response of the k-th mode of the complex lattice frame structure based on the generalized load spectrum and the generalized mass of the k-th mode includes:

[0052]

[0053] In the formula, σ dk The root mean square displacement response of the k-th mode of a complex lattice frame structure is represented by |H i (kn)| 2 Let n represent the transfer function of the k-th mode shape. k This represents the k-th mode frequency of a complex lattice frame structure.

[0054] As described above, the root mean square displacement response of the k-th mode of a complex lattice frame structure is calculated based on the generalized load spectrum and generalized mass of the k-th mode. The root mean square displacement response is used to describe the vibration characteristics of the structure in order to assess its stability and safety.

[0055] Furthermore, the calculation of the displacement variance of the i-th degree of freedom of the complex lattice frame structure based on the root mean square displacement response of the k-th mode includes:

[0056]

[0057] In the formula, wherein, β (i) represents the wind-induced vibration coefficient of the i-th degree of freedom of the complex lattice frame structure, D (i) represents the displacement distribution of the i-th degree of freedom, σ (i) represents the displacement variance of the i-th degree of freedom of the complex lattice frame structure, and K represents the preset mode number.

[0058] According to the above description, the displacement variance of the i-th degree of freedom of the complex lattice frame structure is calculated according to the root mean square displacement response of the k-th order mode, so as to describe the randomness or uncertainty of the displacement of the i-th degree of freedom with time, which is an important index for measuring the randomness of the structure response, and the contribution of high-order modes is considered, and the wind-induced effect of the structure is effectively evaluated.

[0059] Further, the wind-induced vibration coefficient of the i-th degree of freedom of the complex lattice frame structure is calculated according to the root mean square displacement of the i-th degree of freedom and the displacement distribution of the i-th degree of freedom, which comprises:

[0060]

[0061] wherein, β (i) represents the wind-induced vibration coefficient of the i-th degree of freedom of the complex lattice frame structure, D (i) represents the displacement distribution of the i-th degree of freedom, σ (i) represents the displacement variance of the i-th degree of freedom of the complex lattice frame structure, and K represents the preset mode number. d (i) represents the wind-induced vibration coefficient of the i-th degree of freedom of the complex lattice frame structure, D (i) represents the displacement distribution of the i-th degree of freedom, σ d (i) represents the root mean square displacement of the i-th degree of freedom, and μ represents the peak factor.

[0062] According to the above description, the wind-induced vibration coefficient of the i-th degree of freedom of the complex lattice frame structure is calculated according to the root mean square displacement of the i-th degree of freedom and the displacement distribution of the i-th degree of freedom, which is an important index for measuring the randomness of the structure response, and the contribution of high-order modes is considered, and the wind-induced effect of the structure is effectively evaluated.

[0063] Further, the wind-induced vibration coefficient of the i-th degree of freedom of the complex lattice frame structure is calculated according to the root mean square displacement of the i-th degree of freedom and the displacement distribution of the i-th degree of freedom, which comprises:

[0064] The tower top, the edge span and cross arm connection, the midspan and cross arm connection, the cross arm and the tower column are selected as the typical segments from the complex lattice frame structure.

[0065] According to the above description, the tower top, the edge span and cross arm connection, the midspan and cross arm connection, the cross arm and the tower column are usually the typical parts in the complex lattice frame structure, and these parts are taken as the typical segments, so that the overall wind load information can be calculated according to the wind load information of the typical segments, and the reliability of the final evaluation result is ensured.

[0066] Please refer to Figure 2 Another embodiment of the present application provides a wind load and wind-induced effect evaluation system of a complex lattice frame structure, which comprises a memory, a processor and a computer program stored in the memory and executable on the processor, and each step in the wind load and wind-induced effect evaluation method of the complex lattice frame structure is realized when the processor executes the computer program.

[0067] The wind load and wind-induced effect evaluation method and system of the complex lattice type frame structure can be applied to complex lattice type frame structures, such as multi-span power transmission frame structures, and the following specific embodiments are described:

[0068] Please refer to Figure 1 、 Figures 3-5 , the first embodiment of the present application is:

[0069] A wind load and wind-induced effect evaluation method for a complex lattice type frame structure, comprising the steps of:

[0070] S1, obtaining a plurality of typical sections from the complex lattice type frame structure, and establishing a typical section model for each of the typical sections.

[0071] In an optional embodiment, the plurality of typical sections obtained from the complex lattice type frame structure comprises:

[0072] The tower tip, the edge span and cross arm connection, the midspan and cross arm connection, the cross arm, and the tower column are selected as typical sections from the complex lattice type frame structure.

[0073] The specific number of sections is determined according to the complexity of the lattice type frame structure. As shown in Figure 3 , five typical sections are selected, section 1 is the tower tip, section 2 is the cross arm, section 3 is the edge span and cross arm connection, section 4 is the tower column, and section 5 is the midspan and cross arm connection.

[0074] S2, determine the different lateral spacing, vertical spacing and front-back spacing between each of the typical section models, and perform multi- balance synchronous test wind tunnel test on the plurality of typical section models based on the different lateral spacing, vertical spacing and front-back spacing, to obtain the base shear of each of the typical section models.

[0075] In an optional embodiment, the different lateral spacing, vertical spacing and front-back spacing between each of the typical section models are determined according to the specific circumstances of the complex lattice type frame structure, and typically the lateral spacing, vertical spacing and front-back spacing are considered at least three spacings, as shown in Figure 4 (the front-back spacing is not shown in the figure).

[0076] In an optional embodiment, the multi- balance synchronous test wind tunnel test on the plurality of typical section models based on the different lateral spacing, vertical spacing and front-back spacing to obtain the base shear of each of the typical section models comprises:

[0077] After installing multiple typical segment models on a balance, a multi-balance synchronous wind tunnel test was conducted on the multiple typical segment models based on the different lateral spacing, vertical spacing, and front-to-back spacing to obtain the base shear force of each typical segment model.

[0078] S3. Based on the base shear force of each typical segment model, obtain the wind load autospectrum, wind load cross-spectrum, and coherence function of the wind load autospectrum and wind load cross-spectrum for each typical segment model. Then, based on the typical segment model, segment the complex lattice frame structure to obtain a multi-mass point degree-of-freedom model, specifically including S31-S34:

[0079] S31. Obtain the wind load spectrum along the X and Y axes of each typical segment model based on the base shear force of each typical segment model.

[0080] S32. Analyze the base shear force of different typical segment models to obtain the wind load cross spectrum along the X and Y axes.

[0081] S33. Based on the wind load autospectrum and wind load crossspectrum of the X-axis and Y-axis, the coherence function is obtained. By comparing the coherence functions of typical segment models with different lateral spacing, vertical spacing and front-back spacing, the variation law of the coherence function with lateral spacing, vertical spacing and front-back spacing is analyzed. Through fitting or machine learning techniques, the numerical model of the coherence function is obtained.

[0082] S34. Classify the different parts of the complex lattice frame structure into the typical segments, and divide them into several segments according to the size of the different parts. Based on the divided segments, simplify the complex lattice frame structure into a multi-mass degree-of-freedom model in the manner of one mass point per segment.

[0083] For example, such as Figure 5 As shown, the bottom tower column of the crossarm is relatively long, so it is divided into several sections. The upper tower tip section of the crossarm is only divided into two sections. The specific number of sections depends on the calculation workload and accuracy, and can be set according to the actual situation. It is worth noting that special parts, such as the connection between the side span tower column and the crossarm and the connection between the middle tower column and the crossarm, must be treated as one section according to the manufacturing process of the segments. Figure 5 The entire complex lattice-structured framework is divided into 30 segments.

[0084] In an optional implementation, the method further includes: establishing a coordinate system for each segment in the multi-mass point degree-of-freedom model, such that it includes two coordinates: the X-axis and the Y-axis.

[0085] S4. Calculate the load spectrum of the multi-mass point degree-of-freedom model based on the wind load autospectrum and the coherence function, and transform the load spectrum of the multi-mass point degree-of-freedom model to obtain the load spectrum of the complex lattice frame structure.

[0086] The calculation of the load spectrum of the multi-mass degree-of-freedom model based on the wind load autospectrum and the coherence function includes:

[0087]

[0088] In the formula, S represents the load spectrum of a multi-mass point degree-of-freedom model. mi (n m S represents the wind load autospectrum of the i-th degree of freedom in a multi-mass point model. mj (n m S represents the wind load autospectrum of the j-th degree of freedom in a multi-mass point model. mi (n m ) and S m j(n m All segments of the multi-mass degree-of-freedom model are assigned to the segments of the typical segment model according to the same segment type, coh(n) m ) represents the coherence function.

[0089] like Figure 5 As shown, if there are 30 segments in the multi-mass point degree of freedom model, then converting the load spectrum of the multi-mass point degree of freedom model into a matrix will result in a 60*60 matrix (each segment has two degrees of freedom, X-axis and Y-axis).

[0090] The principle of similarity between the dimensionless frequencies and dimensionless spectra of the experimental scaled model and the actual structure is as follows:

[0091]

[0092] The process of converting the load spectrum of the multi-mass point degree-of-freedom model into the load spectrum of the complex lattice frame structure includes:

[0093]

[0094] In the formula, This represents the load spectrum of a complex lattice frame structure (i.e., the actual structure), where ρ represents air density, V represents average wind speed, and z... i′ The elevation z represents the i-th degree of freedom of a complex lattice framework structure. j′ B represents the elevation of the j-th degree of freedom in a complex lattice framework structure. i′ B represents the characteristic width of the i-th degree of freedom in a complex lattice framework structure. j′ h represents the characteristic width of the j-th degree of freedom in a complex lattice framework structure.i′ h represents the characteristic height of the i-th degree of freedom of the complex lattice framed structure j′ h represents the characteristic height of the j-th degree of freedom of the complex lattice framed structure, the subscript s represents the complex lattice framed structure, the subscript m represents the typical segment model (i.e. the test model), and B represents the typical segment model s B represents the characteristic width of the windward face of the complex lattice framed structure z represents the average wind speed of the typical segment model at the reference height i z represents the elevation of the typical segment model at the i-th degree of freedom j z represents the elevation of the typical segment model at the j-th degree of freedom, B i B represents the characteristic width of the i-th degree of freedom of the typical segment model j B represents the characteristic width of the j-th degree of freedom of the typical segment model, h i h represents the characteristic height of the i-th degree of freedom of the typical segment model j h represents the characteristic height of the j-th degree of freedom of the typical segment model, B m B represents the characteristic width of the windward face of the typical segment model m B / B s is the geometric scale ratio z represents the average wind speed of the complex lattice framed structure at the reference height, i represents the degree of freedom part of the i-th segment, j represents the degree of freedom part of the j-th segment, including the X-axis and Y-axis parts, i and j are both equal to 60.

[0095] S5, wind-induced effect evaluation of the complex lattice framed structure based on the load spectrum of the complex lattice framed structure, to obtain the wind vibration coefficient, and the X-axis and Y-axis of the complex lattice framed structure are calculated at the same time, and the X-axis and Y-axis loads are considered to be mutually independent, and if further accuracy is required, the coherence function can be fitted between the X-axis load and the Y-axis load when fitting, and specifically includes S51-S55:

[0096] S51, according to the random vibration theory, using the mode combination method to calculate the generalized load spectrum of the k-th mode and the generalized mass of the k-th mode based on the load spectrum of the complex lattice framed structure, specifically:

[0097]

[0098] wherein, represents the generalized load spectrum of the k-th mode, represents the k-th mode vector, represents the vector transpose, represents the generalized mass of the k-th mode, and M represents the mass matrix.

[0099] The elements of the mode vector are represented in the following form:

[0100]

[0101] where N represents the number of segments, N = 30, represents the mode shape of segment N in X axis direction, represents the mode shape of segment N in Y axis direction.

[0102] The mass matrix is represented in the following form:

[0103]

[0104] where, represents the mass of segment N in X axis direction, represents the mass of segment N in Y axis direction.

[0105] S52, calculating the kth mode shape root mean square displacement response of the complex lattice frame structure according to the generalized load spectrum of the kth mode shape and the generalized mass of the kth mode shape, specifically:

[0106]

[0107] where σ dk represents the kth mode shape root mean square displacement response of the complex lattice frame structure, |H i (kn)| 2 represents the kth mode shape transfer function, n k represents the kth mode shape frequency of the complex lattice frame structure.

[0108] In an alternative embodiment, further comprising:

[0109] calculating the kth mode shape acceleration root mean square response of the complex lattice frame structure according to the generalized load spectrum of the kth mode shape and the generalized mass of the kth mode shape, specifically:

[0110]

[0111] where σ ak represents the kth mode shape acceleration root mean square response of the complex lattice frame structure.

[0112] S53, calculating the displacement variance of the i-th degree of freedom of the complex lattice frame structure according to the kth mode shape root mean square displacement response, specifically:

[0113]

[0114] where, wherein, σ (i) represents the displacement variance of the i-th degree of freedom of the complex lattice frame structure, K represents the preset mode number, and K considers all mode frequencies within 3Hz.

[0115] The existing high-frequency force balance technology can only obtain the generalized force of the first-order linear mode of the structure, and cannot consider the contribution of high-order modes, but the application considers the contribution of high-order modes, thereby realizing effective evaluation of wind load and wind-induced effect of the complex lattice frame structure.

[0116] In an alternative embodiment, further comprising:

[0117] According to the k-th mode acceleration root mean square response, the acceleration variance of the i-th degree of freedom of the complex lattice frame structure is calculated, specifically:

[0118]

[0119] wherein, The acceleration variance of the i-th degree of freedom of the complex lattice frame structure is represented.

[0120] S54, according to the displacement variance of the i-th degree of freedom, the displacement root mean square of the i-th degree of freedom is determined, and the displacement distribution of the i-th degree of freedom is obtained according to the static force analysis.

[0121] S55, according to the displacement root mean square of the i-th degree of freedom and the displacement distribution of the i-th degree of freedom, the wind vibration coefficient of the i-th degree of freedom of the complex lattice frame structure is calculated, specifically:

[0122]

[0123] wherein, β d (i) represents the wind vibration coefficient of the i-th degree of freedom of the complex lattice frame structure, D(i) represents the displacement distribution of the i-th degree of freedom, σ d (i) represents the displacement root mean square of the i-th degree of freedom, and μ represents the peak factor.

[0124] The structural dynamic characteristics of the complex lattice frame are very complex, and the wind load and wind-induced response are three-dimensional. Due to the particularity of the structure, it is difficult to obtain the wind load information of the complex lattice frame by using a rigid pressure measuring model like a large-span roof structure, and the existing high-frequency force balance technology can only obtain the generalized force of the first-order linear vibration mode of the structure, and cannot meet the wind-induced response analysis of the complex lattice frame. The present application obtains a plurality of typical segments from the complex lattice frame structure, and establishes a typical segment model for each typical segment. The base shear of each typical segment model is obtained by performing a multi-balance synchronous test wind tunnel test on the plurality of typical segment models based on different lateral spacing, vertical spacing and front-back spacing. The wind load information of each typical segment model is obtained according to the base shear of each typical segment model. The complex lattice frame structure is segmented based on the typical segment model to obtain a multi-particle degree of freedom model. The load spectrum of the multi-particle degree of freedom model is calculated according to the wind load information of each typical segment model obtained before, and is converted to obtain the load spectrum of the actual structure. The wind-induced effect of the complex lattice frame structure is evaluated based on the load spectrum of the complex lattice frame structure to obtain the wind vibration coefficient. The contribution of the high-order mode is considered. The wind load and wind-induced effect of the complex lattice frame structure are evaluated from the local to the whole and from the model to the actual structure. The structural characteristics of the complex lattice frame structure are considered. Therefore, the wind load and wind-induced effect of the complex lattice frame structure are effectively evaluated, which is beneficial to the development of wind-resistant design of the complex lattice frame structure.

[0125] Please refer to Figure 2 Embodiment two of the present application is:

[0126] A wind load and wind-induced effect evaluation system of a complex lattice frame structure, comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor executes the computer program to realize each step of the wind load and wind-induced effect evaluation method of the complex lattice frame structure.

[0127] In summary, the application provides a wind load and wind-induced effect evaluation method and system for a complex lattice frame structure, a plurality of typical segments are obtained from the complex lattice frame structure, and a typical segment model is established for each typical segment, a multi-balance synchronous test wind tunnel test is performed on the plurality of typical segment models based on different lateral spacings, vertical spacings, and front-back spacings, to obtain base shears of the typical segment models, wind load information of the typical segment models is obtained according to the base shears of the typical segment models, the complex lattice frame structure is segmented based on the typical segment models to obtain a multi-particle degree of freedom model, a load spectrum of the multi-particle degree of freedom model is calculated according to the wind load information of the typical segment models obtained before, and is converted to obtain a load spectrum of an actual structure (i.e., the complex lattice frame structure), wind-induced effect evaluation is performed on the complex lattice frame structure based on the load spectrum of the complex lattice frame structure, to obtain a wind vibration coefficient, and the wind load and wind-induced effect of the complex lattice frame structure are evaluated from the local to the whole and from the model to the actual structure, the structural characteristics of the complex lattice frame structure are considered, and thus effective wind load and wind-induced effect evaluation of the complex lattice frame structure is realized; in addition, according to the random vibration theory, the generalized load spectrum of the kth mode and the generalized mass of the kth mode are calculated based on the load spectrum of the complex lattice frame structure using the mode combination method, the kth mode root mean square displacement response of the complex lattice frame structure is calculated according to the kth mode root mean square displacement response, the displacement variance of the i-th degree of freedom is calculated according to the kth mode root mean square displacement response, the displacement root mean square of the i-th degree of freedom is determined according to the displacement variance of the i-th degree of freedom, and the displacement distribution of the i-th degree of freedom is obtained according to the static force analysis, the wind vibration coefficient of the i-th degree of freedom of the complex lattice frame structure is calculated according to the displacement root mean square of the i-th degree of freedom and the displacement distribution of the i-th degree of freedom, and thus the static wind-induced effect evaluation and the dynamic wind-induced effect evaluation are combined, the response of the structure under different wind load conditions can be comprehensively and accurately evaluated, so as to optimize the design parameters, enhance the durability and safety of the structure, and be beneficial to the development of complex lattice frame wind resistance design.

[0128] The above only describes the embodiments of the application, and does not limit the patent scope of the application, and any equivalent transformation or direct or indirect application in the related technical field based on the content of the specification and drawings of the application is also included in the patent protection scope of the application.

Claims

1. A method for evaluating wind load and wind-induced effects on complex lattice frame structures, characterized in that, Including the following steps: Multiple typical segments are obtained from the complex lattice-structured framework, and a typical segment model is established for each of the typical segments. Different lateral spacing, vertical spacing, and front-to-back spacing between the typical segment models are determined, and multi-balance synchronous wind tunnel tests are conducted on multiple typical segment models based on the different lateral spacing, vertical spacing, and front-to-back spacing to obtain the base shear force of each typical segment model. Based on the base shear force of each typical segment model, the wind load autospectrum, wind load cross spectrum, and coherence function of the wind load autospectrum and wind load cross spectrum of each typical segment model are obtained. Based on the typical segment model, the complex lattice frame structure is segmented to obtain a multi-mass point degree of freedom model. The load spectrum of the multi-mass point degree of freedom model is calculated based on the wind load autospectrum and the coherence function, and the load spectrum of the multi-mass point degree of freedom model is transformed to obtain the load spectrum of the complex lattice frame structure. The wind-induced effect of the complex lattice frame structure is evaluated based on the load spectrum of the complex lattice frame structure, and the wind vibration coefficient is obtained.

2. The method for evaluating wind load and wind-induced effects on a complex lattice frame structure according to claim 1, characterized in that, The calculation of the load spectrum of the multi-mass point degree-of-freedom model based on the wind load autospectrum and the coherence function includes: In the formula, S represents the load spectrum of a multi-mass point degree-of-freedom model. mi (n m S represents the wind load autospectrum of the i-th degree of freedom in a multi-mass point model. mj (n m ) represents the wind load autospectrum of the j-th degree of freedom in a multi-mass point model, coh(n) m ) represents the coherence function.

3. The method for evaluating wind load and wind-induced effects on a complex lattice frame structure according to claim 2, characterized in that, The process of converting the load spectrum of the multi-mass point degree-of-freedom model into the load spectrum of the complex lattice frame structure includes: In the formula, This represents the load spectrum of a complex lattice frame structure, where ρ represents air density, V represents average wind speed, and z represents the load spectrum of the complex lattice frame structure. i′ The elevation z represents the i-th degree of freedom of a complex lattice framework structure. j′ B represents the elevation of the j-th degree of freedom in a complex lattice framework structure. i′ B represents the characteristic width of the i-th degree of freedom in a complex lattice framework structure. j′ h represents the characteristic width of the j-th degree of freedom in a complex lattice framework structure. i′ h represents the characteristic height of the i-th degree of freedom in a complex lattice framework structure. j′ The characteristic height of the j-th degree of freedom of the complex lattice framework structure is represented by s, the complex lattice framework structure is represented by m, and B represents the typical segment model. s The characteristic width of the windward side of a complex lattice frame structure. z represents the average wind speed of a typical segment model at the reference height. i z represents the elevation of the typical segmental model in the i-th degree of freedom. j B represents the elevation of the typical segmental model in the j-th degree of freedom. i B represents the feature width of the i-th degree of freedom in a typical segmental model. j h represents the feature width of the j-th degree of freedom in a typical segmental model. i h represents the feature height of the i-th degree of freedom in a typical segmental model. j B represents the feature height of the j-th degree of freedom in a typical segmental model. m This represents the characteristic width of the windward side of a typical segmental model. This represents the average wind speed at a reference height for a complex lattice frame structure.

4. The method for evaluating wind load and wind-induced effects on a complex lattice frame structure according to claim 1, characterized in that, The wind-induced effect assessment of the complex lattice frame structure based on the load spectrum yields wind vibration coefficients including: Based on the theory of random vibration, the modal combination method is used to calculate the generalized load spectrum and generalized mass of the k-th mode based on the load spectrum of the complex lattice frame structure. The root mean square displacement response of the k-th mode of the complex lattice frame structure is calculated based on the generalized load spectrum of the k-th mode and the generalized mass of the k-th mode. Calculate the displacement variance of the i-th degree of freedom of the complex lattice frame structure based on the root mean square displacement response of the k-th mode. The root mean square of the displacement of the i-th degree of freedom is determined based on the displacement variance of the i-th degree of freedom, and the displacement distribution of the i-th degree of freedom is obtained based on static analysis. The wind vibration coefficient of the i-th degree of freedom of the complex lattice frame structure is calculated based on the root mean square displacement of the i-th degree of freedom and the displacement distribution of the i-th degree of freedom.

5. The method for evaluating wind load and wind-induced effects on a complex lattice frame structure according to claim 4, characterized in that, The calculation of the generalized load spectrum and generalized mass of the k-th mode based on the load spectrum of the complex lattice frame structure using the modal combination method according to random vibration theory includes: In the formula, The generalized load spectrum represents the k-th mode shape. Denotes the vector of the k-th mode shape. This represents the transpose of a vector. Represents the load spectrum of complex lattice frame structures. Let M represent the generalized mass of the k-th mode shape, and M represent the mass matrix.

6. The method for evaluating wind load and wind-induced effects on a complex lattice frame structure according to claim 5, characterized in that, The calculation of the root mean square displacement response of the complex lattice frame structure based on the generalized load spectrum and generalized mass of the k-th mode includes: In the formula, σ dk The root mean square displacement response of the k-th mode of a complex lattice frame structure is represented by |H i (kn)| 2 Let n represent the transfer function of the k-th mode shape. k This represents the k-th mode frequency of a complex lattice frame structure.

7. The method for evaluating wind load and wind-induced effects on a complex lattice frame structure according to claim 6, characterized in that, The calculation of the displacement variance of the i-th degree of freedom of the complex lattice frame structure based on the root mean square displacement response of the k-th mode includes: In the formula, The displacement variance of the i-th degree of freedom of the complex lattice frame structure is represented by K, which represents the preset number of mode shapes.

8. The method for evaluating wind load and wind-induced effects on a complex lattice frame structure according to claim 4, characterized in that, The wind vibration coefficient of the i-th degree of freedom of the complex lattice frame structure, calculated based on the root mean square displacement of the i-th degree of freedom and the displacement distribution of the i-th degree of freedom, includes: In the formula, β d (i) represents the wind vibration coefficient of the i-th degree of freedom of the complex lattice frame structure, D(i) represents the displacement distribution of the i-th degree of freedom, and σ d (i) represents the root mean square displacement of the i-th degree of freedom, and μ represents the peak factor.

9. The method for evaluating wind load and wind-induced effects on a complex lattice frame structure according to claim 1, characterized in that, The process of obtaining multiple typical segments from a complex lattice-structured framework includes: The tower spire, the connection between the side span and the crossarm, the connection between the middle span and the crossarm, the crossarm, and the tower column are selected as typical segments from the complex lattice frame structure.

10. A system for evaluating wind loads and wind-induced effects on complex lattice frame structures, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the computer program, it implements each step of the method for evaluating wind load and wind-induced effects on a complex lattice frame structure according to any one of claims 1 to 9.

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