CN112380748A - Wind-induced random vibration analysis method and related device for power transmission tower - Google Patents
Wind-induced random vibration analysis method and related device for power transmission tower Download PDFInfo
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Abstract
The invention discloses a wind-induced random vibration analysis method and a related device for a power transmission tower, wherein the method comprises the following steps: establishing a structural response coefficient matrix of the power transmission tower according to the structural parameters of the power transmission tower; extracting a row matrix corresponding to the structural key response in the structural response coefficient matrix to obtain a structural key response coefficient matrix; obtaining a wind pressure time course of the power transmission tower based on the relation between wind speed and wind pressure according to a wind speed time course sample with a preset height, and substituting the wind pressure time course into a wind load formula to calculate to obtain a wind load time course sample of the power transmission tower; substituting the structural key response coefficient matrix and the wind load time interval sample into a structural key response formula to calculate to obtain a structural key response sample of the power transmission tower; and respectively calculating the time-varying mean value and the time-varying variance of the structural key response sample based on a time-varying mean value and variance formula according to the structural key response sample. The technical problem that the calculation efficiency is low when wind resistance analysis is carried out on a large power transmission tower in the prior art is solved.
Description
Technical Field
The invention relates to the technical field of electric power, in particular to a wind-induced random vibration analysis method and a related device for a power transmission tower.
Background
In the research of random vibration, there are various methods, such as a power spectrum method, a virtual excitation method and a probability density evolution method, which have been applied to many actual engineering fields, and some scholars apply the methods to the wind resistance research of a power transmission tower.
However, the existing wind-induced random vibration methods are generally only suitable for solving random responses under steady wind, and for wind loads with obvious non-steady characteristics such as typhoons and hurricanes, a large amount of time-course integral operation is required for obtaining an evolution power spectrum of structural response so as to obtain first-order and second-order statistical moments, and when the method is applied to wind-resistant analysis of large-scale power transmission towers, the problem of low calculation efficiency exists.
Disclosure of Invention
The invention provides a wind-induced random vibration analysis method and a related device for a power transmission tower, which are used for solving the technical problem of low calculation efficiency when wind resistance analysis is carried out on a large power transmission tower in the prior art.
In view of the above, the first aspect of the present invention provides a method for analyzing wind-induced random vibration of a power transmission tower, where the method includes:
obtaining structural parameters of a power transmission tower, and establishing a structural response coefficient matrix of the power transmission tower according to the structural parameters, wherein the structural parameters comprise: a mass array, a damping array and a stiffness array;
extracting a row matrix corresponding to the structural key response in the structural response coefficient matrix to obtain a structural key response coefficient matrix of the power transmission tower;
obtaining a wind pressure time course of the power transmission tower based on the relation between wind speed and wind pressure according to a wind speed time course sample with a preset height, substituting the wind pressure time course into a wind load formula, and calculating to obtain a wind load time course sample of the power transmission tower;
substituting the structural key response coefficient matrix and the wind load time-course sample into a structural key response formula, and calculating to obtain a structural key response sample of the power transmission tower;
and calculating to obtain a time-varying mean value of the structural key response sample based on a time-varying mean value formula according to the structural key response sample, substituting the time-varying mean value and the structural key response sample into a time-varying variance formula, and calculating to obtain a time-varying variance of the structural key response sample.
Optionally, the calculating, according to the structural key response sample, a time-varying mean of the structural key response sample based on a time-varying mean formula, substituting the time-varying mean and the structural key response sample into a time-varying variance formula, and calculating a time-varying variance of the structural key response sample, and then further includes:
and calculating to obtain the average peak value of the structural key response sample based on an average peak value formula according to the structural key response sample.
Optionally, the obtaining structural parameters of the power transmission tower specifically includes:
establishing a finite element model of the power transmission tower according to the geometric information and the material information of the power transmission tower; and extracting parameters of the finite element model to obtain the structural parameters of the power transmission tower.
Optionally, the establishing a structural response coefficient matrix of the power transmission tower according to the structural parameters specifically includes: establishing a structural response coefficient matrix of the power transmission tower according to the structural parameters based on a structural response coefficient matrix calculation formula, wherein the structural response coefficient matrix calculation formula is as follows:
in the formula:
in the formula, Ai,j(i is 1,2, …, n, j is 0,1, …, i) is the structural response coefficient matrix, M is the mass matrix, C is the damping matrix, K is the stiffness matrix, and L is a wind load positioning matrix; i is an identity matrix; Δ t is the time step, n is the number of time steps, γ is 0.5, β is 0.25.
Optionally, the wind load formula is:
in the formula, Fk(t) is the kth wind load time course sample, wherein the kth wind load time course sample has m wind load elements and muSiThe shape coefficient of the component at the ith wind load position; mu.sZiIs the wind pressure height variation coefficient of the ith wind load position, ASIs the projected area of the windward side of the member at the ith wind load, wkAnd (t) is the wind pressure time interval.
Optionally, the structural key response formula is:
in the formula, rk(ti) For the moment t of the power transmission tower under the kth wind load time range sampleiStructural critical response of (A), Fk(t) is the kth wind load time course sample, ai,jIs the structural key response coefficient matrix.
The invention provides a wind-induced random vibration analysis device for a power transmission tower, which comprises:
the establishing unit is used for acquiring the structural parameters of the power transmission tower and establishing a structural response coefficient matrix of the power transmission tower according to the structural parameters, wherein the structural parameters comprise: a mass array, a damping array and a stiffness array;
the extraction unit is used for extracting a row matrix corresponding to the structural key response in the structural response coefficient matrix to obtain a structural key response coefficient matrix of the power transmission tower;
the first calculation unit is used for obtaining a wind pressure time interval of the power transmission tower based on the relation between wind speed and wind pressure according to a wind speed time interval sample with a preset height, substituting the wind pressure time interval into a wind load formula, and calculating to obtain a wind load time interval sample of the power transmission tower;
the second calculation unit is used for substituting the structural key response coefficient matrix and the wind load time-course sample into a structural key response formula to calculate to obtain a structural key response sample of the power transmission tower;
and the third calculating unit is used for calculating the time-varying mean value of the structural key response sample based on a time-varying mean value formula according to the structural key response sample, substituting the time-varying mean value and the structural key response sample into a time-varying variance formula, and calculating the time-varying variance of the structural key response sample.
Optionally, the method further comprises: a fourth calculation unit;
and the fourth calculating unit is used for calculating the average peak value of the structural key response sample based on an average peak value formula according to the structural key response sample.
Optionally, the establishing unit is specifically configured to:
establishing a finite element model of the power transmission tower according to the geometric information and the material information of the power transmission tower; extracting parameters of the finite element model to obtain structural parameters of the power transmission tower;
according to the structural parameters, establishing a structural response coefficient matrix of the power transmission tower based on a structural response coefficient matrix calculation formula, wherein the structural parameters comprise: a mass array, a damping array and a stiffness array.
A third aspect of the invention provides a transmission tower wind-induced random vibration analysis device, comprising a processor and a memory:
the memory is used for storing program codes and transmitting the program codes to the processor;
the processor is configured to execute the steps of the transmission tower wind-induced random vibration analysis method according to the first aspect.
According to the technical scheme, the invention has the following advantages:
the invention provides a wind-induced random vibration analysis method for a power transmission tower, which comprises the following steps: obtaining structural parameters of the power transmission tower, and establishing a structural response coefficient matrix of the power transmission tower according to the structural parameters, wherein the structural parameters comprise: a mass array, a damping array and a stiffness array; extracting a row matrix corresponding to the structural key response in the structural response coefficient matrix to obtain a coefficient matrix of the structural key response; obtaining a wind pressure time course of the power transmission tower based on the relation between wind speed and wind pressure according to a wind speed time course sample with a preset height, substituting the wind pressure time course into a wind load formula, and calculating to obtain a wind load time course sample of the power transmission tower; substituting the structural key response coefficient matrix and the wind load time-course sample into a structural key response formula, and calculating to obtain a structural key response sample of the power transmission tower; and calculating to obtain a time-varying mean value of the structural key response sample based on a time-varying mean value formula according to the structural key response sample, substituting the time-varying mean value and the structural key response sample into a time-varying variance formula, and calculating to obtain a time-varying variance of the structural key response sample.
The invention relates to a wind-induced random vibration analysis method of a power transmission tower, which is characterized in that a structural response coefficient matrix of the power transmission tower is established according to structural parameters of the power transmission tower, the advantage of a dimension reduction formula of a time domain explicit expression is utilized, only simple algebraic operation needs to be carried out aiming at preset structural key response of a structural response coefficient moment of the power transmission tower to obtain the structural key response coefficient matrix, and meanwhile, a wind load time range sample of the power transmission tower is obtained by combining the relation between wind speed and wind pressure to carry out analysis and calculation, so that a time-varying mean value and a time-varying variance of the structural response of the power transmission tower, namely a first-order statistical moment and a second-order statistical moment of the structural response of the power transmission tower are obtained, and the wind-induced random vibration analysis of the structure of the power transmission tower does not need to carry out complex integral operation.
Drawings
Fig. 1 is a schematic flow chart of a first embodiment of a method for analyzing wind-induced random vibration of a transmission tower according to an embodiment of the present invention;
fig. 2 is a schematic flow chart of a second embodiment of a method for analyzing wind-induced random vibration of a transmission tower according to an embodiment of the present invention;
fig. 3 is a schematic structural diagram of a transmission tower wind-induced random vibration analysis apparatus provided in an embodiment of the present invention.
Detailed Description
In order to make the technical solutions of the present invention better understood, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Referring to fig. 1, a first embodiment of a method for analyzing wind-induced random vibration of a power transmission tower according to the present invention: the method comprises the following steps:
It can be understood that the structural parameters of the transmission tower are input into a preset calculation formula to be calculated to obtain a structural response coefficient matrix of the transmission tower, and the structural parameters include: a mass array, a damping array, a stiffness array, and the like.
And 102, extracting a row matrix corresponding to the preset structural key response in the structural response coefficient matrix to obtain the structural key response coefficient matrix of the power transmission tower.
It should be noted that the preset structural key response is a main structural response parameter for analyzing the wind-induced random vibration of the power transmission tower by a person skilled in the art, and the preset structural key response can be preset according to actual needs; it can be understood that a plurality of row matrixes exist in the structural response coefficient matrix, and the row matrix corresponding to the key response is extracted to obtain the structural key response coefficient matrix of the transmission tower.
And 103, obtaining a wind pressure time course of the power transmission tower based on the relation between the wind speed and the wind pressure according to a wind speed time course sample with a preset height, substituting the wind pressure time course into a wind load formula, and calculating to obtain a wind load time course sample of the power transmission tower.
In the embodiment, a large number of wind speed time-course samples with preset heights are obtained through an actual measurement record or harmonic synthesis method, a wind pressure time-course of the power transmission tower is obtained according to the relation between the wind speed and the wind pressure, and the wind pressure time-course is substituted into a wind load formula to be calculated to obtain the wind load time-course sample of the power transmission tower.
It should be noted that, the relationship between the wind speed and the wind pressure is: w is ak(t)＝uk 2(t)/1600(k＝1,2,…,N)；
In the formula, wk(t) is the kth wind load time course sample, ukIs the kth wind speed time course sample, and N is the number of samples.
And 104, substituting the structural key response coefficient matrix and the wind load time interval sample into a structural key response formula, and calculating to obtain a structural key response sample of the power transmission tower.
And substituting the structural key response coefficient matrix and the wind load time-course sample into a structural key response formula for calculation to obtain a structural key response sample of the power transmission tower.
And 105, calculating to obtain a time-varying mean value of the structural key response sample based on a time-varying mean value formula according to the structural key response sample, substituting the time-varying mean value and the structural key response sample into a time-varying variance formula, and calculating to obtain a time-varying variance of the structural key response sample.
It can be understood that the time-varying mean value of the structural key response sample is obtained by substituting the structural key response sample into a time-varying mean value formula, and the time-varying mean value and the structural key response sample are then obtained by substituting the time-varying mean value and the structural key response sample into a time-varying variance formula, wherein the time-varying mean value and the time-varying variance are respectively the first-order and second-order statistical moments of the structural response.
The invention relates to a wind-induced random vibration analysis method of a power transmission tower, which is characterized in that a structural response coefficient matrix of the power transmission tower is established according to structural parameters of the power transmission tower, the advantage of a dimension reduction formula of a time domain explicit expression is utilized, only simple algebraic operation needs to be carried out aiming at preset structural key response of a structural response coefficient moment of the power transmission tower to obtain the structural key response coefficient matrix, and meanwhile, a wind load time range sample of the power transmission tower is obtained by combining the relation between wind speed and wind pressure to carry out analysis and calculation, so that a time-varying mean value and a time-varying variance of the structural response of the power transmission tower, namely a first-order statistical moment and a second-order statistical moment of the structural response of the power transmission tower are obtained, and the wind-induced random vibration analysis of the structure of the power transmission tower does not need to carry out complex integral operation.
The first embodiment of the method for analyzing wind-induced random vibration of a power transmission tower provided by the embodiment of the invention is described above, and the second embodiment of the method for analyzing wind-induced random vibration of a power transmission tower provided by the embodiment of the invention is described below.
Referring to fig. 2, a second embodiment of the method for analyzing wind-induced random vibration of a power transmission tower according to the present invention includes:
In the embodiment, the geometric information and the material information are input into large-scale general finite element software to obtain a finite element model of the power transmission tower, then the finite element model is subjected to parameter extraction as required to obtain the structural parameters of the power transmission tower, and the structural parameters of the power transmission tower are input into a structural response coefficient matrix calculation formula to obtain a structural response coefficient matrix of the power transmission tower.
The structural response coefficient matrix calculation formula is as follows:
in the formula:
in the formula, Ai,j(i is 1,2, …, n, j is 0,1, …, i) is a structural response coefficient matrix, M is a mass matrix, C is a damping matrix, K is a stiffness matrix, and L is a wind load positioning matrix; i is an identity matrix; Δ t is the time step, n is the number of time steps, γ is 0.5, β is 0.25.
Step 202 of this embodiment is the same as the description of step 102 of this embodiment, please refer to the description of step 102 of this embodiment, and will not be described herein again.
And 203, obtaining a wind pressure time course of the power transmission tower based on the relation between the wind speed and the wind pressure according to the wind speed time course sample with the preset height, substituting the wind pressure time course into a wind load formula, and calculating to obtain a wind load time course sample of the power transmission tower.
Step 203 of this embodiment is the same as step 103 of this embodiment, please refer to step 103 of this embodiment, and will not be described herein again.
Wherein, the wind load formula is:
in the formula, Fk(t) is the kth wind load time course sample, wherein m wind load elements are totally contained, and the value is muSiThe shape coefficient of the component at the ith wind load position; mu.sZiIs the wind pressure height variation coefficient of the ith wind load position, ASIs the projected area of the windward side of the member at the ith wind load, wkAnd (t) is a wind pressure time interval.
And 204, substituting the structural key response coefficient matrix and the wind load time interval sample into a structural key response formula, and calculating to obtain a structural key response sample of the power transmission tower.
Step 204 of this embodiment is the same as step 104 of this embodiment, please refer to step 104 of this embodiment, and will not be described herein again.
The structural key response formula is as follows:
in the formula, rk(ti) For the moment t of the power transmission tower under the kth wind load time range sampleiStructural critical response of (A), Fk(t) is the kth wind load time course sample, ai,jIs a structural key response coefficient matrix.
And step 205, calculating a time-varying mean value of the structural key response sample based on a time-varying mean value formula according to the structural key response sample, substituting the time-varying mean value and the structural key response sample into a time-varying variance formula, and calculating a time-varying variance of the structural key response sample.
Step 205 of this embodiment is the same as the description of step 105 of the first embodiment, please refer to step 105 of the first embodiment, which is not repeated herein.
Wherein, the formula of the time-varying mean value is as follows:
in the formula, mur(t) is the time-varying mean of the structural key response r, rk(t) is a structural critical response sample.
The time-varying variance equation is:
in the formula, σr(t) is the time-varying variance of the structural critical response r.
And step 206, calculating to obtain the average peak value of the structural key response sample based on the average peak value formula according to the structural key response sample.
Similarly, substituting the structural key response samples into an average peak value formula for calculation to obtain the average peak value of the structural key response samples. The method can solve the average peak value of the wind-induced response of the transmission tower which is more concerned by practical engineering, and has wider applicability.
Wherein, the average peak value formula is:
in the formula, rpeakThe average peak of the structural critical response r.
According to the analysis method for wind-induced random vibration of the power transmission tower, the advantage of a dimensionality reduction formula of a time domain explicit expression is utilized, and only simple algebraic operation needs to be carried out aiming at key response, so that the first-order and second-order statistical moments of the structural response of the power transmission tower are obtained: the time-varying mean value and the time-varying variance are not required to perform complex integral operation, and the method has the advantages of simple and convenient calculation and high efficiency; besides, the time-varying mean value and the time-varying variance are calculated, the average peak value of the wind-induced structural response of the transmission tower, which is more concerned by practical engineering, can be solved, and the method has wider applicability. Therefore, the technical problem that the calculation efficiency is low when wind resistance analysis is carried out on the large power transmission tower in the prior art is solved.
The second embodiment of the method for analyzing wind-induced random vibration of a power transmission tower according to the embodiments of the present invention is as follows.
Referring to fig. 3, an embodiment of a wind-induced random vibration analysis apparatus for a power transmission tower according to the present invention includes:
the establishing unit 301 is configured to obtain a structural parameter of the power transmission tower, and establish a structural response coefficient matrix of the power transmission tower according to the structural parameter, where the structural parameter includes: a mass array, a damping array and a stiffness array;
the extraction unit 302 is configured to extract a row matrix corresponding to a structural key response preset in the structural response coefficient matrix to obtain a structural key response coefficient matrix of the power transmission tower;
the first calculation unit 303 is configured to obtain a wind pressure time interval of the power transmission tower based on a relation between wind speed and wind pressure according to a wind speed time interval sample of a preset height, substitute the wind pressure time interval into a wind load formula, and calculate to obtain a wind load time interval sample of the power transmission tower;
the second calculation unit 304 is configured to substitute the structural key response coefficient matrix and the wind load time interval sample into a structural key response formula, and calculate to obtain a structural key response sample of the power transmission tower;
and a third calculating unit 305, configured to calculate a time-varying mean and a time-varying variance of the structural key response samples based on a time-varying mean formula and a time-varying variance formula, respectively, according to the structural key response samples.
The fourth calculating unit 306 is configured to calculate an average peak value of the structural key response samples based on the average peak value formula according to the structural key response samples.
The wind-induced random vibration analysis device for the power transmission tower, disclosed by the invention, has the advantages of simplicity and convenience in calculation and high efficiency, and solves the technical problem of lower wind resistance analysis efficiency of a large-scale power transmission tower in the prior art.
The invention also provides a wind-induced random vibration analysis device of the power transmission tower, which comprises a processor and a memory, wherein the processor comprises:
the memory is used for storing the program codes and transmitting the program codes to the processor;
the processor is used for executing any one of the transmission tower wind-induced random vibration analysis methods in the method embodiments according to instructions in the program code.
It is clear to those skilled in the art that, for convenience and brevity of description, the specific working processes of the above-described apparatuses and units may refer to the corresponding processes in the foregoing method embodiments, and are not described herein again.
The terms "first," "second," "third," "fourth," and the like in the description of the invention and the above-described figures are used for distinguishing between similar elements and not necessarily for describing a particular sequential or chronological order. It is to be understood that the data so used is interchangeable under appropriate circumstances such that the embodiments of the invention described herein are, for example, capable of operation in sequences other than those illustrated or otherwise described herein. Furthermore, the terms "comprises," "comprising," and "having," and any variations thereof, are intended to cover a non-exclusive inclusion, such that a process, method, system, article, or apparatus that comprises a list of steps or elements is not necessarily limited to those steps or elements expressly listed, but may include other steps or elements not expressly listed or inherent to such process, method, article, or apparatus.
It is to be understood that, in the present invention, "at least one" means one or more, "a plurality" means two or more. "and/or" for describing an association relationship of associated objects, indicating that there may be three relationships, e.g., "a and/or B" may indicate: only A, only B and both A and B are present, wherein A and B may be singular or plural. The character "/" generally indicates that the former and latter associated objects are in an "or" relationship. "at least one of the following" or similar expressions refer to any combination of these items, including any combination of single item(s) or plural items. For example, at least one (one) of a, b, or c, may represent: a, b, c, "a and b", "a and c", "b and c", or "a and b and c", wherein a, b, c may be single or plural.
In the embodiments provided in the present invention, it should be understood that the disclosed system, apparatus and method may be implemented in other ways. For example, the above-described apparatus embodiments are merely illustrative, and for example, the division of the units is only one logical division, and other divisions may be realized in practice, for example, a plurality of units or components may be combined or integrated into another system, or some features may be omitted, or not executed. In addition, the shown or discussed mutual coupling or direct coupling or communication connection may be an indirect coupling or communication connection through some interfaces, devices or units, and may be in an electrical, mechanical or other form.
The units described as separate parts may or may not be physically separate, and parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the units can be selected according to actual needs to achieve the purpose of the solution of the embodiment.
In addition, functional units in the embodiments of the present invention may be integrated into one processing unit, or each unit may exist alone physically, or two or more units are integrated into one unit. The integrated unit can be realized in a form of hardware, and can also be realized in a form of a software functional unit.
The integrated unit, if implemented in the form of a software functional unit and sold or used as a stand-alone product, may be stored in a computer readable storage medium. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device) to execute all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a U disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk, and other various media capable of storing program codes.
The above-mentioned embodiments are only used for illustrating the technical solutions of the present invention, and not for limiting the same; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.
Claims (10)
1. A wind-induced random vibration analysis method for a power transmission tower is characterized by comprising the following steps:
obtaining structural parameters of a power transmission tower, and establishing a structural response coefficient matrix of the power transmission tower according to the structural parameters, wherein the structural parameters comprise: a mass array, a damping array and a stiffness array;
extracting a row matrix corresponding to a preset structural key response in the structural response coefficient matrix to obtain a structural key response coefficient matrix of the power transmission tower;
obtaining a wind pressure time course of the power transmission tower based on the relation between wind speed and wind pressure according to a wind speed time course sample with a preset height, substituting the wind pressure time course into a wind load formula, and calculating to obtain a wind load time course sample of the power transmission tower;
substituting the structural key response coefficient matrix and the wind load time-course sample into a structural key response formula, and calculating to obtain a structural key response sample of the power transmission tower;
and calculating to obtain a time-varying mean value of the structural key response sample based on a time-varying mean value formula according to the structural key response sample, substituting the time-varying mean value and the structural key response sample into a time-varying variance formula, and calculating to obtain a time-varying variance of the structural key response sample.
2. The method for analyzing wind-induced random vibration of a transmission tower according to claim 1, wherein the method further comprises the following steps of calculating a time-varying mean value of the structural key response samples based on a time-varying mean value formula according to the structural key response samples, substituting the time-varying mean value and the structural key response samples into a time-varying variance formula, and calculating a time-varying variance of the structural key response samples, and then:
and calculating to obtain the average peak value of the structural key response sample based on an average peak value formula according to the structural key response sample.
3. The analysis method for wind-induced random vibration of the transmission tower according to claim 1, wherein the obtaining of the structural parameters of the transmission tower specifically comprises:
establishing a finite element model of the power transmission tower according to the geometric information and the material information of the power transmission tower;
and extracting parameters of the finite element model to obtain the structural parameters of the power transmission tower.
4. The method for analyzing wind-induced random vibration of a transmission tower according to claim 1, wherein the establishing of the structural response coefficient matrix of the transmission tower according to the structural parameters specifically comprises: establishing a structural response coefficient matrix of the power transmission tower according to the structural parameters based on a structural response coefficient matrix calculation formula, wherein the structural response coefficient matrix calculation formula is as follows:
in the formula:
in the formula, Ai,j(i is 1,2, …, n; j is 0,1, …, i) is the structural response coefficientThe matrix, M is the mass array, C is the damping array, K is the rigidity array, and L is a wind load positioning matrix; i is an identity matrix; Δ t is the time step, n is the number of time steps, γ is 0.5, β is 0.25.
5. The analysis method for wind-induced random vibration of the power transmission tower according to claim 1, wherein the wind load formula is as follows:
in the formula, Fk(t) is the kth wind load time course sample, wherein the kth wind load time course sample has m wind load elements and muSiThe shape coefficient of the component at the ith wind load position; mu.sZiIs the wind pressure height variation coefficient of the ith wind load position, ASIs the projected area of the windward side of the member at the ith wind load, wkAnd (t) is the wind pressure time interval.
6. The analysis method for wind-induced random vibration of a power transmission tower according to claim 1, wherein the structural key response formula is as follows:
in the formula, rk(ti) For the moment t of the power transmission tower under the kth wind load time range sampleiStructural critical response of (A), Fk(t) is the kth wind load time course sample, ai,jIs the structural key response coefficient matrix.
7. A wind-induced random vibration analysis device for a power transmission tower is characterized by comprising:
the establishing unit is used for acquiring the structural parameters of the power transmission tower and establishing a structural response coefficient matrix of the power transmission tower according to the structural parameters, wherein the structural parameters comprise: a mass array, a damping array and a stiffness array;
the extraction unit is used for extracting a row matrix corresponding to a preset structural key response in the structural response coefficient matrix to obtain a structural key response coefficient matrix of the power transmission tower;
the first calculation unit is used for obtaining a wind pressure time interval of the power transmission tower based on the relation between wind speed and wind pressure according to a wind speed time interval sample with a preset height, substituting the wind pressure time interval into a wind load formula, and calculating to obtain a wind load time interval sample of the power transmission tower;
the second calculation unit is used for substituting the structural key response coefficient matrix and the wind load time-course sample into a structural key response formula to calculate to obtain a structural key response sample of the power transmission tower;
and the third calculating unit is used for calculating the time-varying mean value of the structural key response sample based on a time-varying mean value formula according to the structural key response sample, substituting the time-varying mean value and the structural key response sample into a time-varying variance formula, and calculating the time-varying variance of the structural key response sample.
8. The wind-induced random vibration analysis device for a transmission tower according to claim 7, further comprising: a fourth calculation unit;
and the fourth calculating unit is used for calculating the average peak value of the structural key response sample based on an average peak value formula according to the structural key response sample.
9. The wind-induced random vibration analysis device of a power transmission tower according to claim 7, wherein the establishing unit is specifically configured to:
establishing a finite element model of the power transmission tower according to the geometric information and the material information of the power transmission tower; extracting parameters of the finite element model to obtain structural parameters of the power transmission tower;
according to the structural parameters, establishing a structural response coefficient matrix of the power transmission tower based on a structural response coefficient matrix calculation formula, wherein the structural parameters comprise: a mass array, a damping array and a stiffness array.
10. A transmission tower wind-induced random vibration analysis device, the device comprising a processor and a memory:
the memory is used for storing program codes and transmitting the program codes to the processor;
the processor is configured to execute the transmission tower wind-induced random vibration analysis method according to any one of claims 1 to 6 according to instructions in the program code.
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