CN114329890A - Method, system, equipment and medium for evaluating wind-resistant reinforcing effect of transmission tower - Google Patents
Method, system, equipment and medium for evaluating wind-resistant reinforcing effect of transmission tower Download PDFInfo
- Publication number
- CN114329890A CN114329890A CN202111394901.XA CN202111394901A CN114329890A CN 114329890 A CN114329890 A CN 114329890A CN 202111394901 A CN202111394901 A CN 202111394901A CN 114329890 A CN114329890 A CN 114329890A
- Authority
- CN
- China
- Prior art keywords
- matrix
- axis
- stiffening rib
- reinforcing device
- wind
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
Images
Abstract
The invention provides a method, a system, equipment and a medium for evaluating the wind-resistant reinforcing effect of a transmission tower, the method includes acquiring node information and physical parameters of each stiffener unit in the outer corner reinforcing apparatus, obtaining the bending rigidity of the stiffening rib unit according to the node information and the physical parameters, then accumulating to obtain a system matrix of the stiffening rib, and combining the obtained system matrix of the right-angle reinforcement in the outer corner reinforcement device to obtain the system matrix of the outer corner reinforcement device, and obtaining a first system stress model according to the obtained system matrix of the first main material rod piece and the obtained system matrix of the outer corner reinforcing device, and a second system stress model is obtained according to the obtained system matrix of the transmission tower system and the first system stress model, and establishing a second system wind load model and combining the second system stress model to evaluate the wind resistance and reinforcement effect of the transmission tower. The method can quantitatively and accurately evaluate the wind-resistant reinforcing effect of the transmission tower and the stability of the reinforcing device, and has the advantages of wide application range and high analysis precision.
Description
Technical Field
The invention relates to the technical field of wind-resistant reinforcement of transmission towers, in particular to a method and a system for evaluating wind-resistant reinforcement effect of a transmission tower based on an outer angle reinforcement device, computer equipment and a storage medium.
Background
The transmission tower is an important energy infrastructure and is widely applied at home and abroad. The power transmission pole tower is used in the field for a long time, suffers from wind and sunshine, bears various strong load effects and severe environment effects, and is very important in use safety. The coastal region of the south of China is a strong typhoon region, and in recent years, wind-induced collapse accidents of a plurality of transmission towers occur, so that serious economic loss and secondary disasters are caused. Therefore, the wind-resistant reinforcing work of the transmission tower is carried out, the capability of the transmission tower for dealing with strong wind is improved, and the method has important practical significance.
At present, relevant researches are carried out at home and abroad aiming at the problem of wind-induced damage of transmission towers, and reinforcing devices of different types are also provided, such as: the main material reinforcing device, the inclined material reinforcing device, the transverse partition material reinforcing device, the dynamic vibration absorber, the energy consumption damper and the like are widely regarded because the method adopting the reinforcing device has the advantages of simplicity, practicability, low manufacturing cost, good environmental adaptability and the like. However, the work of wind-resistant reinforcing device and performance evaluation of the wind-resistant reinforcing device for the transmission tower is mainly focused on the aspects of mechanical structure and device design and development of the reinforcing device, although some novel mechanical design and manufacturing methods of the reinforcing device are provided, a corresponding wind-resistant reinforcing performance evaluation method and system are lacked, the actual reinforcing effect of the device installed on the actual transmission tower cannot be reasonably and effectively evaluated, if the outer corner reinforcing device is applied to the transmission tower as a novel reinforcing device, the stress performance of the outer corner reinforcing device cannot be accurately and effectively evaluated, the wind-resistant reinforcing effect of the outer corner reinforcing device cannot be evaluated, the use safety of the transmission tower cannot be effectively evaluated and analyzed based on the wind-resistant reinforcing effect evaluation, and the operation and maintenance level of the transmission tower for dealing with strong wind disasters is not favorably improved.
Therefore, the system researches the use safety performance and the wind-induced response characteristics of the transmission tower after the outer angle reinforcing device is installed, establishes an accurate and effective wind-induced response analysis method for the transmission tower with the outer angle reinforcing device, and has important significance in reasonably and effectively evaluating the wind-resistant reinforcing effect of the transmission tower.
Disclosure of Invention
The invention aims to provide a method for evaluating the wind-resistant reinforcing effect of a transmission tower, which is characterized in that a mechanical model of a reinforcing rib of a reinforcing device, a mechanical model of an outer angle reinforcing device-main material first system are established, the outer angle reinforcing device and a transmission tower system are regarded as a complete second system, a corresponding mechanical model is established, and a wind load model, a stress balance equation and a wind-induced response analysis method of the reinforcing device-transmission tower system second system are established on the basis, so that the wind-resistant reinforcing effect of the transmission tower and the stability of the outer angle reinforcing device under the wind load effect can be quantitatively and accurately evaluated.
In order to achieve the above object, it is necessary to provide a method, a system, a computer device, and a storage medium for evaluating the wind-resistant reinforcement effect of a transmission tower, in view of the above technical problems.
In a first aspect, an embodiment of the present invention provides a method for evaluating a wind-resistant reinforcing effect of a transmission tower, where the method includes:
acquiring node information and physical parameters of each stiffening rib unit in the outer corner reinforcing device; the node information comprises node coordinates and stiffening rib geometric shape parameters; the physical parameters include modulus of elasticity, shear modulus, and density;
obtaining the bending rigidity of the stiffening rib units according to the node information and the physical parameters of each stiffening rib unit; the bending stiffness comprises y-axis bending stiffness, z-axis bending stiffness and an inertia product;
obtaining a system matrix of the stiffening rib according to the bending rigidity of the stiffening rib unit; the system matrix comprises a stiffness matrix and a mass matrix;
acquiring a system matrix of a right-angle reinforcing piece in the outer corner reinforcing device, and acquiring the system matrix of the outer corner reinforcing device according to the system matrix of the stiffening rib and the right-angle reinforcing piece;
acquiring a system matrix of a first main material rod piece, and acquiring a first system stress model according to the outer corner reinforcing device and the system matrix of the first main material rod piece; the first main material rod comprises a plurality of main material rod units provided with outer corner reinforcing devices; the first system is composed of an outer corner reinforcing device and a first main material rod piece;
acquiring a system matrix of a transmission tower system, and acquiring a second system stress model according to the system matrix of the transmission tower system and the first system stress model; the second system consists of a first system and a transmission tower system; the transmission tower system comprises a second main material rod piece, an inclined material and an auxiliary material; the second main material rod piece comprises a plurality of main material rod piece units which are not provided with the outer corner reinforcing devices;
and establishing a second system wind load model, and evaluating the wind-resistant reinforcing effect of the transmission tower according to the second system wind load model and the second system stress model.
In a second aspect, an embodiment of the present invention provides a system for evaluating a wind-resistant reinforcing effect of a transmission tower, where the system includes:
the data acquisition module is used for acquiring node information and physical parameters of each stiffening rib unit in the outer corner reinforcing device; the node information comprises node coordinates and stiffening rib geometric shape parameters; the physical parameters include modulus of elasticity, shear modulus, and density;
the first calculation module is used for obtaining the bending rigidity of the stiffening rib units according to the node information and the physical parameters of the stiffening rib units; the bending stiffness comprises y-axis bending stiffness, z-axis bending stiffness and an inertia product;
the second calculation module is used for obtaining a system matrix of the stiffening rib according to the bending rigidity of the stiffening rib unit; the system matrix comprises a stiffness matrix and a mass matrix;
the third calculation module is used for acquiring a system matrix of a right-angle reinforcing piece in the outer corner reinforcing device and acquiring the system matrix of the outer corner reinforcing device according to the system matrix of the stiffening rib and the right-angle reinforcing piece;
the first modeling module is used for acquiring a system matrix of the first main material rod piece and obtaining a first system stress model according to the outer corner reinforcing device and the system matrix of the first main material rod piece; the first main material rod piece comprises a plurality of main material rod piece units provided with outer corner reinforcing devices; the first system is composed of an outer corner reinforcing device and a first main material rod piece;
the second modeling module is used for acquiring a system matrix of a transmission tower system and acquiring a second system stress model according to the system matrix of the transmission tower system and the first system stress model; the second system consists of the first system and a transmission tower system; the power transmission pole tower system comprises a second main material rod piece, an inclined material and an auxiliary material; the second main material rod piece comprises a plurality of main material rod piece units which are not provided with the external corner reinforcing devices;
and the effect evaluation module is used for establishing a second system wind load model and evaluating the wind resistance reinforcement effect of the transmission tower according to the second system wind load model and the second system stress model.
In a third aspect, an embodiment of the present invention further provides a computer device, which includes a memory, a processor, and a computer program stored in the memory and executable on the processor, where the processor implements the steps of the method when executing the computer program.
In a fourth aspect, the present invention further provides a computer-readable storage medium, on which a computer program is stored, where the computer program is executed by a processor to implement the steps of the above method.
The method comprises the steps of obtaining node information and physical parameters of stiffening rib units in an outer angle reinforcing device, obtaining bending rigidity of the stiffening rib units according to the node information and the physical parameters, accumulating to obtain a system matrix of stiffening ribs, obtaining a system matrix of the outer angle reinforcing device according to the obtained system matrix of right-angle reinforcements in the outer angle reinforcing device, obtaining a first system stress model according to the obtained system matrix of a first main material rod piece and the obtained system matrix of the outer angle reinforcing device, obtaining a second system stress model according to the obtained system matrix of a transmission tower system and the obtained first system stress model, and establishing the technical scheme that the second system wind load model is combined with the second system stress model to evaluate wind resistance reinforcing effect and stability of the reinforcing device of the transmission tower . Compared with the prior art, the method for evaluating the wind-resistant reinforcing effect of the transmission tower is characterized in that a wind load model, a stress balance equation and a wind-induced response analysis method are established by considering the influences of the geometric appearance of the reinforcing device on the wind load, the influences of the angle of the stiffening rib on the wind-borne area and the wind load of the reinforcing device and the influences of the wind-borne area of the main material shielded by the reinforcing device on the wind load of a tower system, so that the wind-resistant reinforcing effect of the transmission tower and the stability of the reinforcing device can be quantitatively and accurately evaluated.
Drawings
FIG. 1 is a schematic view of an application scene of the method for evaluating the wind-resistant reinforcement effect of the transmission tower in the embodiment of the invention;
FIG. 2 is a schematic structural view of an external corner reinforcement device according to an embodiment of the present invention;
FIG. 3 is a flow diagram of a method for evaluating the wind-resistant reinforcement effect of a transmission tower in the embodiment of the invention;
FIG. 4 is a schematic view of the connection of the external corner reinforcing apparatus to the main member according to the embodiment of the present invention;
FIG. 5 is a schematic structural diagram of a transmission tower provided with an external corner reinforcing device according to an embodiment of the invention;
FIG. 6 is a structural schematic diagram of a wind-resistant reinforcing effect evaluation system of a transmission tower in the embodiment of the invention;
fig. 7 is an internal structural diagram of a computer device in the embodiment of the present invention.
Detailed Description
In order to make the purpose, technical solution and advantages of the present invention more clearly apparent, the present invention is further described in detail below with reference to the accompanying drawings and embodiments, and it is obvious that the embodiments described below are part of the embodiments of the present invention, and are used for illustrating the present invention only, but not for limiting the scope of the present invention. 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.
The method for evaluating the wind-resistant reinforcing effect of the transmission tower can be applied to a terminal or a server shown in figure 1. The terminal can be, but is not limited to, various personal computers, notebook computers, smart phones, tablet computers and portable wearable devices, and the server can be implemented by an independent server or a server cluster consisting of a plurality of servers. The server can adopt the method for evaluating the wind-resistant reinforcing effect of the transmission tower of the invention to quantitatively and accurately evaluate the wind-resistant reinforcing effect of the transmission tower and the stability of the external angle reinforcing device under the wind load effect by acquiring the node information and the physical parameters of each reinforcing rib unit in the external angle reinforcing device shown in figure 2, establishing a mechanical model of the reinforcing rib unit of the reinforcing device and a mechanical model of the external angle reinforcing device-main material first system according to the node information and the physical parameters, regarding the external angle reinforcing device and the transmission tower system as a complete second system to establish a corresponding mechanical model, establishing a wind load model and a stress balance equation of the reinforcing device-transmission tower system second system on the basis to perform wind-induced response analysis and reinforcing device stability analysis, and sending the finally obtained analysis result to a terminal for further analysis or guidance of the wind-resistant and disaster-resistant operation and maintenance of the transmission line by a terminal user, the wind-resistant reinforcing effect of the transmission tower and the analysis and evaluation level of the stability of the reinforcing device can be effectively improved, and the operation and maintenance level of the transmission tower for dealing with the strong wind disasters is further improved. The following examples will explain the method for evaluating the wind-resistant reinforcing effect of the transmission tower of the present invention in detail.
In one embodiment, as shown in fig. 3, a method for evaluating the wind-resistant reinforcing effect of a transmission tower is provided, which includes the following steps:
s11, acquiring node information and physical parameters of each stiffening rib unit in the outer corner reinforcing device; the node information comprises node coordinates and stiffening rib geometric shape parameters; the physical parameters include elastic modulus, shear modulus, and density; the external corner reinforcing device is composed of two parts, namely a stiffening rib 1 and a right-angle reinforcing member 2, as shown in figure 2. The shape of the section of the stiffening rib is rectangular, the width of the stiffening rib is b, the height of the stiffening rib is h, the mass center of the stiffening rib is C, and the corresponding node information and the physical parameters can be obtained by adopting the existing method, and are not particularly limited.
S12, obtaining the bending rigidity of the stiffening rib units according to the node information and the physical parameters of the stiffening rib units; the bending stiffness comprises y-axis bending stiffness, z-axis bending stiffness and an inertia product; the bending stiffness of the stiffening rib unit is the bending stiffness of the stiffening rib unit around a coordinate system Ozy, and is obtained by calculating the bending stiffness around a mass center C, the bending stiffness around a center O of the outer angle reinforcing device and the bending stiffness around the coordinate system Ozy in sequence, and the influence of a stiffening rib angle theta on the wind area and the wind load of the reinforcing device is considered in the calculation process. Specifically, the step of obtaining the bending stiffness of the stiffener unit according to the node information and the physical parameters of each stiffener unit includes:
obtaining a first bending rigidity of the corresponding stiffening rib unit according to the node coordinates and the geometric shape parameters of the stiffening ribs; the first bending stiffness of the stiffener unit is the bending stiffness of the stiffener unit around the center of mass;
obtaining a second bending rigidity of the stiffening rib unit according to the first bending rigidity of the stiffening rib unit; the second bending rigidity of the stiffening rib unit is the bending rigidity of the stiffening rib unit around the center of the outer corner reinforcing device;
obtaining the bending rigidity of the stiffening rib unit according to the second bending rigidity of the stiffening rib unit; the bending rigidity of the stiffening rib unit is the bending rigidity of the stiffening rib unit around a coordinate system Ozy; the bending stiffness is expressed as:
in the formula (I), the compound is shown in the specification,
wherein, O and C respectively represent the center of the external corner reinforcing device and the center of mass of the stiffening rib unit; i isyw、 IzwAnd IywzwRespectively showing the stiffening rib units sitting onThe y-axis bending stiffness, the z-axis bending stiffness and the product of inertia in the notation Ozy; i isyo、IzoAnd IyCzCRespectively representing the y-axis bending stiffness, the z-axis bending stiffness and the inertia product of the stiffening rib unit around the point O; i isyC、IzCAnd IyCzCRespectively representing the y-axis bending stiffness, the z-axis bending stiffness and the inertia product of the stiffening rib unit around the point C; b is the width of the stiffening rib; h is the height of the stiffening rib; theta represents the horizontal angle between the stiffening rib unit and the outer corner reinforcing device.
S13, obtaining a system matrix of the stiffening rib according to the bending rigidity of the stiffening rib unit; the system matrix comprises a stiffness matrix and a mass matrix; the stiffness matrix and the mass matrix of the stiffening rib can be understood as the stiffness matrix and the mass matrix of all stiffening rib units are respectively collected, and the stiffness matrix and the mass matrix of each stiffening rib unit are calculated according to the respective bending stiffness. Specifically, the step of obtaining a system matrix of stiffeners according to the bending stiffness of the stiffener units comprises:
obtaining a system matrix of the stiffening rib units according to the bending rigidity, the elastic modulus, the shear modulus, the length, the density, the cross section area and the cross section torsional inertia moment of each stiffening rib unit; the system matrix of the stiffener elements is represented as:
in the formula (I), the compound is shown in the specification,
Aw＝bh
wherein the content of the first and second substances,
and
respectively representing a stiffness matrix and a mass matrix of the stiffening rib unit; i isywAnd IzwRespectively representing the y-axis bending stiffness and the z-axis bending stiffness of the stiffening rib unit in a coordinate system Ozy; ew、lw、Jw、Gw、ρwAnd AwRespectively representing the elastic modulus, the length, the torsional moment of inertia, the shear modulus, the density and the cross-sectional area of the stiffening rib unit;
obtaining a system matrix of the stiffening rib according to the system matrix of each stiffening rib unit; the system matrix of the stiffeners is represented as:
in the formula, KwAnd MwRespectively representing a stiffness matrix and a mass matrix of the stiffening rib;
and
respectively representing a rigidity matrix and a quality matrix of the e-th stiffening rib unit; nw represents the number of stiffening rib elements.
S14, obtaining a system matrix of a right-angle reinforcement in the outer corner reinforcement device, and obtaining the system matrix of the outer corner reinforcement device according to the system matrix of the reinforcing rib and the right-angle reinforcement; the system matrix of the right-angle reinforcing member 2 is obtained by calculation according to the corresponding bending rigidity, and the corresponding bending rigidity can be determined by a basic material mechanics formula. The bending rigidity of the right-angle reinforcing member 2 and the stiffening rib 1 are combined to obtain the overall bending rigidity of the external corner reinforcing device, and an overall rigidity matrix and a quality matrix. Specifically, the step of obtaining a system matrix of a right-angle reinforcement in the outer corner reinforcing device, and obtaining the system matrix of the outer corner reinforcing device according to the system matrix of the stiffening rib and the right-angle reinforcement includes:
obtaining the bending rigidity of the right-angle reinforcing piece according to a material mechanics formula; wherein the bending stiffness of the right angle stiffener includes a y-axis bending stiffness IyrZ-axis bending stiffness IzrProduct of sum and inertia IyrzrThe specific calculation method refers to the above calculation formula of the stiffener unit, and is not described herein again.
Obtaining a system matrix of the right-angle reinforcing piece by a finite element method according to the bending rigidity of the right-angle reinforcing piece; wherein the cross-sectional area A of the right-angle reinforcementrExpressed as:
Ar＝byhy+bzhz
in the formula, byAnd bzThe lengths of the right angle stiffener along the y-axis and z-axis, respectively; h isyAnd hzIndicating the height of the right angle stiffener along the y-axis and z-axis, respectively.
Mass matrix M of right angle stiffenerrAnd a stiffness matrix KrSee the calculation method of the stiffener unit, and will not be described in detail here.
Acquiring a mass matrix of the bolt by a finite element method, and calculating to obtain a system matrix of the outer corner reinforcing device according to the mass matrix of the bolt and the system matrix of the stiffening rib and the right-angle reinforcing member; the system matrix of the external corner reinforcing device is represented as:
in the formula, KsAnd MsRespectively representing a rigidity matrix and a quality matrix of the external corner reinforcing device; kwAnd KrRespectively representing a rigidity matrix of the stiffening rib and a rigidity matrix of the right-angle reinforcing member; mr、 MwAnd MbThe mass matrix of the right-angle reinforcement, the mass matrix of the stiffener, and the mass matrix of the bolt are respectively represented. Wherein the external corner reinforcing means is provided with a plurality of bolts, as shown in fig. 4, the bolts 5 are provided for the external corner reinforcing means 1 itselfOnly mass effect is generated and rigidity effect is not generated, therefore, in order to ensure the accuracy of the system matrix of the external corner reinforcing device, when the mass matrix of the external corner reinforcing device is calculated, the mass matrix of the bolt 5 is considered in addition to the stiffening rib 1 and the right-angle reinforcing member 2, and a concentrated mass matrix determined by a finite element method is selected.
S15, obtaining a system matrix of the first main material rod piece, and obtaining a first system stress model according to the outer corner reinforcing device and the system matrix of the first main material rod piece; the first main material rod piece comprises a plurality of main material rod piece units provided with external corner reinforcing devices; the first system is composed of an outer corner reinforcing device and a first main material rod piece; the outer corner reinforcing device is connected with four first main material rod pieces 3 on the periphery of the transmission tower, and the outer corner reinforcing device and the first main material rod pieces bear the effect of an external load together, namely, the outer corner reinforcing device and the first main material rod pieces 3 form a first system (an outer corner reinforcing device-main material rod piece local combined stress system), and a corresponding stress model is established. Specifically, the step of obtaining a system matrix of the first main material rod piece and obtaining a first system stress model according to the outer corner reinforcing device and the system matrix of the first main material rod piece includes:
obtaining a system matrix of the first main material rod piece unit by a finite element method;
obtaining a system matrix of the first main rod according to the system matrix of the first main rod unit; the system matrix of the first main bar is represented as:
in the formula, Km,wAnd Mm,wRespectively representing a rigidity matrix and a mass matrix of the first main rod piece;
and
rigidity matrix respectively representing first main material rod unitAnd a quality matrix; nw is the number of the first main rod member units; wherein the content of the first and second substances,
and
and respectively determining according to a rigidity matrix formula and a mass matrix formula of the beam unit in the finite element.
Obtaining a first system stress model according to the first main material rod piece and the system matrix of the outer corner reinforcing device; the first system force model is represented as:
in the formula, KsmAnd MsmRespectively representing a stiffness matrix and a mass matrix of the first system; ksAnd MsRespectively representing a rigidity matrix and a quality matrix of the external corner reinforcing device; km,wAnd Mm,wRespectively representing a rigidity matrix and a mass matrix of the first main rod piece; kwAnd MwRespectively representing a stiffness matrix and a mass matrix of the stiffening rib; krAnd MrRespectively representing a rigidity matrix and a quality matrix of the right-angle reinforcing member; mbRepresenting a mass matrix of the bolt.
S16, obtaining a system matrix of the transmission tower system, and obtaining a second system stress model according to the system matrix of the transmission tower system and the first system stress model; the second system consists of the first system and a transmission tower system; the transmission tower system comprises a second main material rod piece, an inclined material and an auxiliary material; the second main material rod piece comprises a plurality of main material rod piece units which are not provided with the outer corner reinforcing devices; after the first system stress model is established according to the steps, other main materials, oblique materials and auxiliary materials in the transmission tower system can be considered, such as the reinforcing clamp 4 in the reinforcing device in fig. 4, and the like, so that the stress model of the second system (the whole system of the reinforcing device and the tower) is established, and a foundation is laid for the subsequent analysis and research of the wind resistance bearing capacity of the whole system. Specifically, the step of obtaining a system matrix of a transmission tower system and obtaining a second system stress model according to the system matrix of the transmission tower system and the first system stress model includes:
respectively obtaining system matrixes of the second main material rod piece, the inclined material and the auxiliary material by a finite element method; the rigidity matrix and the mass matrix of the second main material rod piece, the oblique material and the auxiliary material are the same as those of the first main material rod piece and can be determined by adopting a space beam unit formula in a finite element, and the corresponding mass matrix can adopt a concentrated mass matrix;
obtaining a system matrix of the tower system of the power transmission tower according to the system matrix of the second main material rod piece, the diagonal material and the auxiliary material; the system matrix of the transmission tower system is represented as:
in the formula, KTAnd MTRespectively representing a rigidity matrix and a quality matrix of a transmission tower system;
and
respectively representing a rigidity matrix and a mass matrix of the second main material rod piece unit;
and
respectively representing a rigidity matrix and a mass matrix of the inclined timber unit;
and
respectively represent auxiliary materialsA stiffness matrix and a mass matrix of the cell; nm, nc and nf are respectively expressed as the number of second main material rod units, the number of inclined material units and the number of auxiliary material units;
obtaining a second system stress model according to the system matrix of the transmission tower system and the first system stress model; the second system force model is represented as:
in the formula, K and M respectively represent a rigidity matrix and a quality matrix of the second system; kTAnd MTRespectively representing a rigidity matrix and a quality matrix of a transmission tower system; ksmAnd MsmRespectively representing a stiffness matrix and a mass matrix of the first system; km,wAnd Mm,wRespectively representing a rigidity matrix and a mass matrix of the first main rod piece; kwAnd MwRespectively representing a stiffness matrix and a mass matrix of the stiffening rib; krAnd MrRespectively representing a rigidity matrix and a mass matrix of the right-angle reinforcing member; mbRepresenting a mass matrix of the bolt.
And S17, establishing a second system wind load model, and evaluating the wind-resistant reinforcing effect of the transmission tower according to the second system wind load model and the second system stress model. The second system wind load model comprises two parts, including the wind load of the outer angle reinforcing device and the wind load of the transmission tower system, and the wind load of the outer angle reinforcing device comprises two parts, namely a stiffening rib wind load and a right-angle reinforcing piece wind load. And after a second system wind load model is established, a stress balance equation of the second system under the action of self weight and wind load is established, wind-induced response analysis and evaluation are carried out on the reinforcing device-tower system based on the stress balance equation, and stability evaluation is carried out on the reinforcing device. Specifically, the step of establishing a second system wind load model and evaluating the wind-resistant reinforcing effect of the transmission tower according to the second system wind load model and the second system stress model comprises the following steps:
respectively calculating the wind load of an external angle reinforcing device and the wind load of a transmission tower system;
establishing a second system wind load model according to the wind load of the external angle reinforcing device and the wind load of the transmission tower system; the second system wind load model is represented as:
in the formula (I), the compound is shown in the specification,
wherein, Fw、Fs、FTAnd F0Respectively representing wind loads of the second system, the outer corner reinforcing device, the transmission tower system and the sheltered part of the main material; a. the0The wind area vector of the shielded part of the main material is taken as the wind area vector; a. the0yThe wind area vector of the shielded part of the main material along the y direction of the coordinate axis is obtained; a. the0zThe wind area vector of the shielded part of the main material along the z direction of the coordinate axis is adopted; w is a0、μr、μf、μsAnd muzRespectively representing the basic wind pressure, the recurrence period adjustment coefficient, the pulsating wind pressure coefficient, the wind load type coefficient and the wind pressure height change coefficient of the region where the transmission tower is located; a. thesAnd ATRespectively representing the wind area vectors of the external angle reinforcing device and the transmission tower system; a. theTyAnd ATzRespectively representing wind area vectors of the transmission tower system along the y direction of a coordinate axis and along the z direction of the coordinate axis; a. themy、AcyAnd AfyRespectively representing the wind area vectors of the main material, the inclined material and the auxiliary material along the y direction of the coordinate axis; a. themz、AczAnd AfzWind area vectors of the main material, the inclined material and the auxiliary material along the direction of a coordinate axis z are respectively obtained; a. thesyAnd AszRespectively represent addingThe wind area of the fixed device along the y direction and the z direction of the coordinate axis; lwAnd b represents the stiffener length and width, respectively; theta represents the horizontal included angle between the stiffening rib unit and the outer corner reinforcing device;
establishing a second system stress balance equation according to a second system wind load model; the second system stress balance equation is expressed as:
Kx＝(KT+Ksm)x＝FTg+Fsg+Fw
in the formula (I), the compound is shown in the specification,
wherein x represents a second system wind-induced displacement response; fTg、MTAnd KTRespectively representing the dead weight load, the mass matrix and the rigidity matrix of the power transmission tower system; fsgAnd MsmRespectively representing the dead weight load and the mass matrix of the external corner reinforcing device; fwRepresenting a second system wind load vector; k and KsmRepresenting stiffness matrices of the second system and the first system, respectively; g represents a gravity acceleration vector;
solving a stress balance equation of the second system by adopting a Newton-Raphson method and an incremental method to obtain a wind-induced displacement response of the second system; when the stress balance equation of the second system is solved, the transmission tower is considered to be obviously deformed or even collapsed under the action of strong wind, the obvious geometric nonlinear characteristic is shown, and the response of the second system needs to be calculated by a nonlinear iteration method. Therefore, in this embodiment, a Newton-Raphson method and an incremental method are combined to solve a stress balance equation of the second system (the reinforcement device-tower system), and the iterative process adopts a displacement convergence criterion, and the wind-induced displacement vector at the (i + 1) th time can be expressed as:
x(i+1)＝x(i)+Δx
in the formula, x(i)And x(i+1)Respectively representing the wind-induced displacement vectors of the ith time and the i +1 time of the second system; Δ x is the wind induced displacement increment. According to the new equilibrium form obtained by solvingCan re-form the unbalanced force vector of the system. Repeating the steps until the obtained system displacement difference norm meets the set convergence tolerance, and ending the nonlinear iterative solution process:
||x(i+1)-x(i)||2≤ε
where ε is a predetermined convergence tolerance for displacement greater than zero, and may be set to 0.01. And uniformly solving the multiple iteration processes, and determining the bearing capacity of the reinforcing device-tower system under the action of strong wind and self-weight after the equations reach the convergence condition after multiple iterations and the analysis and calculation are finished.
Obtaining the displacement response of the outer corner reinforcing device according to the wind-induced displacement response of the second system; the outer corner reinforcing device displacement response is expressed as:
in the formula (I), the compound is shown in the specification,
wherein x and
respectively representing the second system wind-induced displacement response and the outer angle reinforcing device displacement response; t iscRepresenting a coordinate transformation matrix, which can be determined according to a finite element method; u. of1、v1And w1Respectively representing the translational displacement of the first node of the external angle reinforcing device along the directions of the x, y and z three axes; thetax1、 θy1And thetaz1Respectively representing the rotation displacement of the first node of the external angle reinforcing device along the directions of three axes of x, y and z; u. of2、v2And w2Respectively representing the translational displacement of the second node of the external angle reinforcing device along the directions of the x, y and z three axes; thetax2,θy2And thetaz2Respectively representing the rotation of the second node of the external angle reinforcing device along the directions of three axes of x, y and zDisplacement;
obtaining an internal force vector of the external corner reinforcing device according to the displacement response of the external corner reinforcing device; the internal force vector of the external corner reinforcing device is expressed as:
in the formula (I), the compound is shown in the specification,
wherein the content of the first and second substances,
and KsRespectively representing an internal force vector and a rigidity matrix of the external angle reinforcing device; n is the axial force of the reinforcing device unit; syAnd SzRespectively representing the shearing force of the external corner reinforcing device along two orthogonal directions; mxAnd MyRespectively representing bending moments of the external angle reinforcing device along two orthogonal directions; t represents the torque of the outer corner reinforcement;
respectively judging whether the external angle reinforcing device simultaneously meets the y-axis direction stable condition and the z-axis direction stable condition according to the internal force vector of the external angle reinforcing device; the y-axis direction stability condition is expressed as:
in the formula (I), the compound is shown in the specification,
As＝bh+byhy+bzhz
wherein the content of the first and second substances,
represents the axial compression stability factor along the y-axis;
representing the overall stability coefficient of the flexural member along the z-axis; n represents the axial force acting on the outer corner reinforcement; myAnd MzRepresenting bending moments along the y-axis and along the z-axis, respectively; n'EyRepresenting the equivalent Euler critical force of the external corner reinforcing device along the y axis; wyAnd WzThe section moduli along the y-axis and the z-axis are indicated, respectively; beta is atzAnd betamyRespectively representing out-of-plane stable calculation equivalent bending moment coefficients along a z axis and a y axis; gamma rayyRepresenting a section plasticity development coefficient along the y-axis corresponding to the section modulus; eta represents the influence coefficient of the section of the external angle reinforcing device; f represents the yield stress of the external corner reinforcing device; lambda [ alpha ]yThe length-to-length ratio of the outer corner reinforcing device around the y axis is shown; l0yRepresenting the calculated length around the y-axis when the external angle reinforcement device is unstable; i isysRepresenting the y-axis bending stiffness of the outer corner reinforcing device; byAnd bzThe lengths of the right angle stiffener along the y-axis and z-axis, respectively; h isyAnd hzThe lengths of the right angle stiffener along the y-axis and z-axis, respectively; a. thesAnd A represents the cross-sectional area and capillary cross-sectional area of the external corner reinforcement means, respectively;
the z-axis direction stable condition is expressed as:
in the formula (I), the compound is shown in the specification,
As＝bh+byhy+bzhz
wherein the content of the first and second substances,
represents the axial compression stability factor along the z-axis;
representing the overall stability coefficient of the flexural member along the y-axis; n represents the axial force acting on the outer corner reinforcement; myAnd MzRepresenting bending moments along the y-axis and along the z-axis, respectively; n'EzRepresenting the equivalent Euler critical force of the external angle reinforcing device along the z axis; wyAnd WzThe section moduli along the y-axis and the z-axis are indicated, respectively; beta is amzAnd betatyRespectively representing out-of-plane stable calculation equivalent bending moment coefficients along a z axis and a y axis; gamma rayzRepresenting a section plasticity development coefficient along a z-axis corresponding to the section modulus; eta represents the influence coefficient of the section of the external angle reinforcing device; f represents the yield stress of the external corner reinforcing device; lambda [ alpha ]zThe length-to-length ratio of the external corner reinforcing device around the z axis is shown; l0zRepresenting the calculated length around the z-axis when the external angle reinforcement device is unstable; i iszsRepresenting the z-axis bending stiffness of the outside corner reinforcement; byAnd bzThe lengths of the right angle stiffeners along the y-axis and the z-axis, respectively; h isyAnd hzThe lengths of the right angle stiffener along the y-axis and z-axis, respectively; as and a represent the cross-sectional area and the capillary cross-sectional area of the outside corner reinforcement, respectively.
The embodiment of the application sequentially establishes a mechanical model of the stiffening rib, a mechanical model of the outer angle reinforcing device-main material, a mechanical model of the outer angle reinforcing device-transmission tower system and a corresponding wind load model, a stress balance equation, a wind induced response analysis method and a stability evaluation method based on the consideration that the geometric shape of the reinforcing device influences the wind load, the angle of the stiffening rib influences the wind area and the wind load of the reinforcing device and the influence of the shielding main material by the reinforcing device on the wind load of the tower system, can quantitatively and accurately evaluate the wind-resistant reinforcing effect of the transmission tower and the stability of the reinforcing device, has the advantages of wide application range, high analysis precision and the like, and the wind-resistant reinforcing effect of the transmission tower and the analysis and evaluation level of the stability of the reinforcing device can be effectively improved, so that the operation and maintenance level of the transmission tower for dealing with the strong wind disaster is improved.
In order to further verify the actual application effect of the method for evaluating the wind-resistant reinforcing effect of the transmission tower, a transmission tower provided with an external corner reinforcing device shown in fig. 5 is used as an object for development and analysis. The height of a certain transmission tower is 40m, 5 node layers are provided, the inclined rod is made of Q235 steel, the yield stress of the inclined rod is 235MPa, the main material is made of Q345 steel, and the yield stress of the inclined rod is 345 MPa. The steel material has an elastic modulus of 2.01X 1011N/m2 and a density of 7800kg/m 3. Fig. 6 gives a schematic diagram of the transmission tower section. The whole tower is divided into 5 sections from top to bottom: tower head, 3 sections of tower body and tower legs. The numbers of the main rod pieces of the sections of the tower body part are shown in the table 1.
TABLE 1 numbering of main members of each segment of tower body
| Model segment number | Main member numbering |
| 2 | 875～906 |
| 3 | 1～32 |
| 4 | 33～64 |
| 5 | 65～92 |
The method of S11-S17 can determine the wind-induced response of the reinforcing device and the transmission tower system, evaluate the wind-resistant reinforcing effect, analyze and evaluate the stress stability of the reinforcing device under the action of wind load, and obtain the analysis results shown in tables 2-5.
TABLE 2 comparison of typical Main Member bar Reinforcement Effect
| Rod numbering | Rod specification (Long mm X thick mm) | Stress before reinforcement (MPa) | Stress after consolidation (MPa) | Rate of change of stress |
| 74 | 125×10.0 | 181.02 | 82.48 | -54.43％ |
| 88 | 125×8.0 | 211.68 | 77.76 | -63.26％ |
| 43 | 110×8.0 | 195.32 | 71.21 | -63.54％ |
| 60 | 110×8.0 | 218.44 | 79.8 | -63.46％ |
| 12 | 100×8.0 | 167.77 | 61.77 | -63.18％ |
| 28 | 100×8.0 | 191.7 | 69.86 | -63.55％ |
| 878 | 90×7.0 | 129.62 | 98.97 | -23.64％ |
| 890 | 90×7.0 | 151.43 | 113.97 | -24.73％ |
| 898 | 90×7.0 | 169.48 | 125.98 | -25.66％ |
| 906 | 90×7.0 | 186.77 | 137.87 | -26.18％ |
TABLE 3 comparison of typical diagonal bar reinforcement effect
| Rod numbering | Rod specification (Long mm X thick mm) | Stress before reinforcement (MPa) | Stress after consolidation (MPa) | Rate of change of stress |
| 721 | 63×5.0 | 92.4 | 72.41 | -21.63％ |
| 590 | 56×5.0 | 62.88 | 46.41 | -26.19％ |
| 555 | 56×5.0 | 59.5 | 42.84 | -28.01％ |
| 527 | 56×5.0 | 54.7 | 38.32 | -29.94％ |
| 491 | 56×5.0 | 49.62 | 33.54 | -32.40％ |
| 475 | 56×5.0 | 56.86 | 38.45 | -32.37％ |
| 448 | 56×5.0 | 37.21 | 24.76 | -33.45％ |
| 444 | 56×5.0 | 42.68 | 29.34 | -31.25％ |
| 440 | 56×5.0 | 42.79 | 28.48 | -33.44％ |
| 436 | 56×5.0 | 49.62 | 34.11 | -31.25％ |
TABLE 4 comparison of reinforcement effect of typical horizontal partition rod
TABLE 5 comparison of typical tower head rod piece reinforcing effects
| Rod numbering | Rod specification (Long mm X thick mm) | Stress before reinforcement (MPa) | Stress after consolidation (MPa) | Rate of change of stress |
| 824 | 80×6.0 | 74.37 | 54.21 | -27.10％ |
| 840 | 80×6.0 | 101.65 | 81.08 | -20.23％ |
| 806 | 75×5.0 | 80.83 | 62.61 | -22.54％ |
| 762 | 75×5.0 | 11.01 | 10.66 | -3.178％ |
| 774 | 75×5.0 | 52.31 | 39.11 | -25.23％ |
| 702 | 63×5.0 | 98.81 | 73.42 | -25.69％ |
| 678 | 63×5.0 | 73.53 | 57.11 | -22.33％ |
| 411 | 56×5.0 | 7.37 | 6.83 | -7.327％ |
| 638 | 56×5.0 | 43.23 | 30.82 | -28.70％ |
| 178 | 40×3.0 | 2.8 | 2.5 | -10.71％ |
| 910 | 90×7.0 | 2.34 | 2.24 | -4.273％ |
As can be seen from the data in table 2, the stress of the main rod members can be effectively reduced by installing the outer corner reinforcing device, the stress of all the main rod members is reduced, the reduction degree is different, and the maximum stress reduction can reach more than 60%, and at least, the stress reduction is more than 20%. The comparison results shown in tables 3-4 show that the stress of the diagonal members, the transverse partition members and the tower head rod members is effectively reduced after the reinforcing device is installed, but the wind-resistant reinforcing effect is not obvious as that of the main rod members.
The wind-resistant reinforcing effect is combined: (1) the outer angle reinforcing device is arranged, so that the bearing capacity of the transmission tower can be effectively improved, and the wind resistance of the tower is improved; (2) the outer corner reinforcing device is arranged, so that wind-induced internal force of various rod pieces in the transmission tower can be reduced; the reinforcing effect of the reinforcing device on the main material rod piece is obviously superior to that of other rod pieces, and the main reason is that the reinforcing device is arranged on the main material rod piece; (3) the method and the system for evaluating the wind-resistant reinforcing effect of the outer angle reinforcing device on the power transmission tower can accurately consider the angle problem of the stiffening rib, can establish a wind-receiving area model and a wind load model of the reinforcing device, which change along with the wind direction, greatly improve the accuracy of the wind load model and obviously improve the analysis precision; (4) the stress of the rod pieces of the transmission towers before and after reinforcement can be found, and the method for evaluating the wind-resistant reinforcement effect of the outer angle reinforcement device on the transmission tower has the advantages of clear concept and accurate analysis and calculation; (5) the analysis method and the analysis system have applicability, and are suitable for analyzing and calculating the wind-resistant reinforcement effect of transmission towers of various types, different heights and different physical parameters.
It should be noted that, although the steps in the above-mentioned flowcharts are shown in sequence as indicated by arrows, the steps are not necessarily executed in sequence as indicated by the arrows. The steps are not limited to be performed in the exact order illustrated and described, and may be performed in other orders unless otherwise indicated herein.
In one embodiment, as shown in fig. 6, there is provided a system for evaluating wind-resistant strengthening effect of a transmission tower, the system including:
the data acquisition module 1 is used for acquiring node information and physical parameters of each stiffening rib unit in the external corner reinforcing device; the node information comprises node coordinates and stiffening rib geometric shape parameters; the physical parameters include modulus of elasticity, shear modulus, and density;
the first calculation module 2 is used for obtaining the bending rigidity of the stiffening rib units according to the node information and the physical parameters of the stiffening rib units; the bending stiffness comprises y-axis bending stiffness, z-axis bending stiffness and an inertia product;
the second calculation module 3 is used for obtaining a system matrix of the stiffening rib according to the bending rigidity of the stiffening rib unit; the system matrix comprises a stiffness matrix and a mass matrix;
the third calculation module 4 is used for acquiring a system matrix of a right-angle reinforcement in the outer angle reinforcement device, and acquiring the system matrix of the outer angle reinforcement device according to the system matrix of the stiffening rib and the right-angle reinforcement;
the first modeling module 5 is used for acquiring a system matrix of the first main material rod piece and obtaining a first system stress model according to the outer corner reinforcing device and the system matrix of the first main material rod piece; the first main material rod piece comprises a plurality of main material rod piece units provided with outer corner reinforcing devices; the first system is composed of an outer corner reinforcing device and a first main material rod piece;
the second modeling module 6 is used for acquiring a system matrix of a transmission tower system and acquiring a second system stress model according to the system matrix of the transmission tower system and the first system stress model; the second system consists of the first system and a transmission tower system; the power transmission pole tower system comprises a second main material rod piece, an inclined material and an auxiliary material; the second main material rod piece comprises a plurality of main material rod piece units which are not provided with the external corner reinforcing devices;
and the effect evaluation module 7 is used for establishing a second system wind load model and evaluating the wind resistance reinforcement effect of the transmission tower according to the second system wind load model and the second system stress model.
It should be noted that, for specific limitations of the system for evaluating the wind-resistant reinforcing effect of the transmission tower, reference may be made to the above limitations of the method for evaluating the wind-resistant reinforcing effect of the transmission tower, and details are not described herein again. All or part of each module in the system for evaluating the wind-resistant reinforcing effect of the transmission tower can be realized through software, hardware and a combination thereof. The modules can be embedded in a hardware form or independent of a processor in the computer device, and can also be stored in a memory in the computer device in a software form, so that the processor can call and execute operations corresponding to the modules.
Fig. 7 shows an internal structure diagram of a computer device in one embodiment, and the computer device may be specifically a terminal or a server. As shown in fig. 7, the computer apparatus includes a processor, a memory, a network interface, a display, and an input device, which are connected through a system bus. Wherein the processor of the computer device is configured to provide computing and control capabilities. The memory of the computer device comprises a nonvolatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a computer program. The internal memory provides an environment for the operating system and the computer program to run in the non-volatile storage medium. The network interface of the computer device is used for communicating with an external terminal through a network connection. When being executed by a processor, the computer program realizes the method for evaluating the wind-resistant reinforcing effect of the transmission tower. The display screen of the computer equipment can be a liquid crystal display screen or an electronic ink display screen, and the input device of the computer equipment can be a touch layer covered on the display screen, a key, a track ball or a touch pad arranged on the shell of the computer equipment, an external keyboard, a touch pad or a mouse and the like.
It will be appreciated by those of ordinary skill in the art that the architecture shown in FIG. 7 is merely a block diagram of some of the structures associated with the present solution and is not intended to limit the computing devices to which the present solution may be applied, and that a particular computing device may include more or less components than those shown in the drawings, or may combine certain components, or have the same arrangement of components.
In one embodiment, a computer device is provided, comprising a memory, a processor and a computer program stored on the memory and executable on the processor, the steps of the above method being performed when the computer program is executed by the processor.
In an embodiment, a computer-readable storage medium is provided, on which a computer program is stored, which computer program, when being executed by a processor, carries out the steps of the above-mentioned method.
To sum up, the method for evaluating wind-resistant reinforcement effect of a power transmission tower, the system, the computer device and the storage medium provided by the embodiments of the present invention realize that the method for evaluating wind-resistant reinforcement effect of a power transmission tower evaluates wind-resistant reinforcement effect of a power transmission tower by obtaining node information and physical parameters of each stiffening rib unit in an outer corner reinforcement device, obtaining bending stiffness of the stiffening rib unit according to the node information and the physical parameters, then obtaining a system matrix of the stiffening rib by adding up, obtaining a system matrix of the outer corner reinforcement device by combining the obtained system matrix of a right-angle reinforcement in the outer corner reinforcement device, obtaining a first system stress model according to the obtained system matrix of a first main material rod and the obtained system matrix of the outer corner reinforcement device, obtaining a second system stress model according to the obtained system matrix of the power transmission tower and the first system stress model, and establishing a second system wind load model by combining the second system stress model According to the technical scheme, a wind load model, a stress balance equation and a wind-induced response analysis method are established based on the influence of the geometric shape of the reinforcing device on wind load, the influence of the angle of the stiffening ribs on the wind load of the reinforcing device and the consideration of the influence of the wind load area of the main material shielded by the reinforcing device on the wind load of a tower system, the wind-resistant reinforcing effect of the transmission tower and the stability of the reinforcing device can be quantitatively and accurately evaluated, the method has the advantages of being wide in application range, high in analysis precision and the like, the analysis evaluation level of the wind-resistant reinforcing effect of the transmission tower and the stability of the reinforcing device can be effectively improved, and the operation and maintenance level of the transmission tower on strong wind disasters is further improved.
The embodiments in this specification are described in a progressive manner, and all embodiments can be directly referred to by the same or similar parts, and each embodiment is described with emphasis on differences from other embodiments. In particular, for the system embodiment, since it is substantially similar to the method embodiment, the description is relatively simple, and for the relevant points, reference may be made to the partial description of the method embodiment. It should be noted that, various technical features of the embodiments may be arbitrarily combined, and for the sake of brevity, all possible combinations of the technical features in the embodiments are not described, but should be considered as the scope of the present disclosure as long as there is no contradiction between the combinations of the technical features.
The above examples merely represent some preferred embodiments of the present application, which are described in detail and concrete, but are not to be construed as limiting the scope of the invention. It should be noted that, for those skilled in the art, without departing from the technical principle of the present invention, several modifications and substitutions can be made, and these should also be regarded as the protection scope of the present application. Therefore, the protection scope of the present patent shall be subject to the protection scope of the claims.
Claims (10)
1. A method for evaluating the wind-resistant reinforcing effect of a transmission tower is characterized by comprising the following steps:
acquiring node information and physical parameters of each stiffening rib unit in the outer corner reinforcing device; the node information comprises node coordinates and stiffening rib geometric shape parameters; the physical parameters include modulus of elasticity, shear modulus, and density;
obtaining the bending rigidity of the stiffening rib units according to the node information and the physical parameters of each stiffening rib unit; the bending stiffness comprises y-axis bending stiffness, z-axis bending stiffness and an inertia product;
obtaining a system matrix of the stiffening rib according to the bending rigidity of the stiffening rib unit; the system matrix comprises a stiffness matrix and a mass matrix;
acquiring a system matrix of a right-angle reinforcing piece in the outer corner reinforcing device, and acquiring the system matrix of the outer corner reinforcing device according to the system matrix of the stiffening rib and the right-angle reinforcing piece;
acquiring a system matrix of a first main material rod piece, and acquiring a first system stress model according to the outer corner reinforcing device and the system matrix of the first main material rod piece; the first main material rod piece comprises a plurality of main material rod piece units provided with outer corner reinforcing devices; the first system is composed of an outer corner reinforcing device and a first main material rod piece;
acquiring a system matrix of a transmission tower system, and acquiring a second system stress model according to the system matrix of the transmission tower system and the first system stress model; the second system consists of the first system and a transmission tower system; the transmission tower system comprises a second main material rod piece, an inclined material and an auxiliary material; the second main material rod piece comprises a plurality of main material rod piece units which are not provided with the external corner reinforcing devices;
and establishing a second system wind load model, and evaluating the wind-resistant reinforcing effect of the transmission tower according to the second system wind load model and the second system stress model.
2. The method for evaluating the wind-resistant reinforcing effect of the transmission tower according to claim 1, wherein the step of obtaining the bending stiffness of the stiffening rib units according to the node information and the physical parameters of each stiffening rib unit comprises:
obtaining a first bending rigidity of the corresponding stiffening rib unit according to the node coordinates and the geometric shape parameters of the stiffening ribs; the first bending stiffness of the stiffener unit is the bending stiffness of the stiffener unit around the center of mass;
obtaining a second bending rigidity of the stiffening rib unit according to the first bending rigidity of the stiffening rib unit; the second bending rigidity of the stiffening rib unit is the bending rigidity of the stiffening rib unit around the center of the outer corner reinforcing device;
obtaining the bending rigidity of the stiffening rib unit according to the second bending rigidity of the stiffening rib unit; the bending rigidity of the stiffening rib unit is the bending rigidity of the stiffening rib unit around a coordinate system Ozy; the bending stiffness is expressed as:
in the formula (I), the compound is shown in the specification,
wherein, O and C respectively represent the center of the external corner reinforcing device and the center of mass of the stiffening rib unit; i isyw、IzwAnd IywzwRespectively representing the y-axis bending stiffness, the z-axis bending stiffness and the inertia product of the stiffening rib unit in a coordinate system Ozy; i isyo、IzoAnd IyCzCRespectively representing the y-axis bending stiffness, the z-axis bending stiffness and the inertia product of the stiffening rib unit around the point O; i isyC、IzCAnd IyCzCRespectively representing the y-axis bending stiffness, the z-axis bending stiffness and the inertia product of the stiffening rib unit around the point C; b is the width of the stiffening rib; h is the height of the stiffening rib; theta represents the horizontal angle between the stiffening rib unit and the outer corner reinforcing device.
3. The method for evaluating the wind-resistant reinforcing effect of the transmission tower according to claim 1, wherein the step of obtaining the system matrix of the stiffening ribs according to the bending stiffness of the stiffening rib units comprises:
obtaining a system matrix of the stiffening rib units according to the bending rigidity, the elastic modulus, the shear modulus, the length, the density, the cross section area and the cross section torsional inertia moment of each stiffening rib unit; the system matrix of the stiffener elements is represented as:
in the formula (I), the compound is shown in the specification,
Aw＝bh
wherein the content of the first and second substances,
and
respectively representing a stiffness matrix and a mass matrix of the stiffening rib unit; i isywAnd IzwRespectively representing the y-axis bending stiffness and the z-axis bending stiffness of the stiffening rib unit in a coordinate system Ozy; ew、lw、Jw、Gw、ρwAnd AwRespectively representing the elastic modulus, the length, the torsional moment of inertia, the shear modulus, the density and the cross-sectional area of the stiffening rib unit;
obtaining a system matrix of the stiffening rib according to the system matrix of each stiffening rib unit; the system matrix of the stiffeners is represented as:
in the formula, KwAnd MwRespectively representing a stiffness matrix and a mass matrix of the stiffening rib;
and
respectively representing a rigidity matrix and a quality matrix of the e-th stiffening rib unit; nw represents the number of stiffener elements.
4. The method for evaluating the wind-resistant reinforcing effect of the transmission tower according to claim 1, wherein the step of obtaining the system matrix of the right-angle reinforcing member in the outer corner reinforcing device and obtaining the system matrix of the outer corner reinforcing device according to the system matrix of the stiffening rib and the right-angle reinforcing member comprises the following steps:
obtaining the bending rigidity of the right-angle reinforcing piece according to a material mechanics formula;
obtaining a system matrix of the right-angle reinforcing member by a finite element method according to the bending rigidity of the right-angle reinforcing member;
acquiring a mass matrix of the bolt by a finite element method, and calculating to obtain a system matrix of the outer corner reinforcing device according to the mass matrix of the bolt and the system matrix of the stiffening rib and the right-angle reinforcing member; the system matrix of the external corner reinforcing device is represented as:
in the formula, KsAnd MsRespectively representing a rigidity matrix and a quality matrix of the external corner reinforcing device; kwAnd KrRespectively representing a rigidity matrix of the stiffening rib and a rigidity matrix of the right-angle reinforcing member; mr、MwAnd MbThe mass matrix of the right-angle reinforcement, the mass matrix of the stiffener, and the mass matrix of the bolt are respectively represented.
5. The method for evaluating the wind-resistant reinforcing effect of the transmission tower according to claim 1, wherein the step of obtaining the system matrix of the first main rod piece and obtaining the first system stress model according to the outer angle reinforcing device and the system matrix of the first main rod piece comprises the steps of:
obtaining a system matrix of the first main material rod piece unit by a finite element method;
obtaining a system matrix of the first main material rod piece according to the system matrix of the first main material rod piece unit; the system matrix of the first main bar is represented as:
in the formula, Km,wAnd Mm,wA rigidity matrix representing the first main member bar anda quality matrix;
and
respectively representing a rigidity matrix and a mass matrix of the first main material rod piece unit; nw is the number of the first main rod member units;
obtaining a first system stress model according to the first main material rod piece and the system matrix of the outer corner reinforcing device; the first system force model is represented as:
in the formula, KsmAnd MsmRespectively representing a stiffness matrix and a mass matrix of the first system; ksAnd MsRespectively representing a rigidity matrix and a quality matrix of the external corner reinforcing device; km,wAnd Mm,wRespectively representing a rigidity matrix and a mass matrix of the first main rod piece; kwAnd MwRespectively representing a stiffness matrix and a mass matrix of the stiffening rib; krAnd MrRespectively representing a rigidity matrix and a mass matrix of the right-angle reinforcing member; mbRepresenting a mass matrix of the bolt.
6. The method for evaluating the wind-resistant reinforcing effect of the transmission tower system according to claim 1, wherein the step of obtaining the system matrix of the transmission tower system and obtaining the second system stress model according to the system matrix of the transmission tower system and the first system stress model comprises:
respectively obtaining system matrixes of the second main material rod piece, the inclined material and the auxiliary material by a finite element method;
obtaining a system matrix of a transmission tower system according to the system matrix of the second main material rod piece, the diagonal material and the auxiliary material; the system matrix of the transmission tower system is represented as:
in the formula, KTAnd MTRespectively representing a rigidity matrix and a quality matrix of a transmission tower system;
and
respectively representing a rigidity matrix and a mass matrix of the second main material rod piece unit;
and
respectively representing a rigidity matrix and a mass matrix of the inclined timber unit;
and
respectively representing a rigidity matrix and a mass matrix of the auxiliary material unit; nm, nc and nf are respectively expressed as the number of second main material rod units, the number of inclined material units and the number of auxiliary material units;
obtaining the second system stress model according to the system matrix of the transmission tower system and the first system stress model; the second system force model is represented as:
in the formula, K and M respectively represent a rigidity matrix and a quality matrix of the second system; kTAnd MTSteel for respectively representing transmission tower systemA degree matrix and a quality matrix; ksmAnd MsmRespectively representing a stiffness matrix and a mass matrix of the first system; km,wAnd Mm,wRespectively representing a rigidity matrix and a mass matrix of the first main rod piece; kwAnd MwRespectively representing a stiffness matrix and a mass matrix of the stiffening rib; krAnd MrRespectively representing a rigidity matrix and a mass matrix of the right-angle reinforcing member; mbRepresenting a mass matrix of the bolt.
7. The method for evaluating the wind-resistant reinforcing effect of the transmission tower according to claim 4, wherein the step of establishing a second system wind load model and evaluating the wind-resistant reinforcing effect of the transmission tower according to the second system wind load model and the second system stress model comprises the following steps:
respectively calculating the wind load of an external angle reinforcing device and the wind load of a transmission tower system;
establishing a second system wind load model according to the wind load of the external angle reinforcing device and the wind load of the transmission tower system; the second system wind load model is represented as:
in the formula (I), the compound is shown in the specification,
wherein, Fw、Fs、FTAnd F0Respectively representing wind loads of the second system, the outer corner reinforcing device, the transmission tower system and the sheltered part of the main material; a. the0The wind area vector of the shielded part of the main material is obtained; a. the0yIs a main material shielded partDividing a wind area vector along the y direction of a coordinate axis; a. the0zThe wind area vector of the shielded part of the main material along the z direction of the coordinate axis is adopted; w is a0、μr、μf、μsAnd muzRespectively representing the basic wind pressure, the recurrence period adjustment coefficient, the pulsating wind pressure coefficient, the wind carrier type coefficient and the wind pressure height change coefficient of the region where the transmission tower is located; a. thesAnd ATRespectively representing the wind area vectors of the external angle reinforcing device and the transmission tower system; a. theTyAnd ATzRespectively representing wind area vectors of the transmission tower system along the y direction of a coordinate axis and along the z direction of the coordinate axis; a. themy、AcyAnd AfyRespectively representing the wind area vectors of the main material, the inclined material and the auxiliary material along the y direction of the coordinate axis; a. themz、AczAnd AfzWind area vectors of the main material, the inclined material and the auxiliary material along the direction of a coordinate axis z are respectively obtained; a. thesyAnd AszRespectively representing the wind areas of the reinforcing device along the y direction and the z direction of the coordinate axis; lwAnd b represents the stiffener length and width, respectively; theta represents the horizontal included angle between the stiffening rib unit and the outer corner reinforcing device;
establishing a second system stress balance equation according to a second system wind load model; the second system stress balance equation is expressed as:
Kx＝(KT+Ksm)x＝FTg+Fsg+Fw
in the formula (I), the compound is shown in the specification,
wherein x represents a second system wind-induced displacement response; fTg、MTAnd KTRespectively representing the dead weight load, the mass matrix and the rigidity matrix of the transmission tower system; fsgAnd MsmRespectively representing the dead weight load and the mass matrix of the external corner reinforcing device; fwRepresenting a second system wind load vector; k and KsmRepresenting stiffness matrices of the second system and the first system, respectively; g represents a gravity acceleration vector;
solving a stress balance equation of the second system by adopting a Newton-Raphson method and an incremental method to obtain a wind-induced displacement response of the second system;
obtaining the displacement response of the outer corner reinforcing device according to the wind-induced displacement response of the second system; the outer corner reinforcing device displacement response is expressed as:
in the formula (I), the compound is shown in the specification,
wherein x and
respectively representing the second system wind-induced displacement response and the outer corner reinforcing device displacement response; t iscRepresenting a coordinate transformation matrix; u. of1、v1And w1Respectively representing the translational displacement of the first node of the external angle reinforcing device along the directions of the x, y and z three axes; thetax1、θy1And thetaz1Respectively representing the rotational displacement of the first node of the external angle reinforcing device along the directions of three axes of x, y and z; u. of2、v2And w2Respectively representing the translational displacement of the second node of the external angle reinforcing device along the directions of the x, y and z three axes; thetax2,θy2And thetaz2Respectively representing the rotational displacement of the second node of the external angle reinforcing device along the directions of the three axes of x, y and z;
obtaining an internal force vector of the external corner reinforcing device according to the displacement response of the external corner reinforcing device; the internal force vector of the external corner reinforcing device is expressed as:
in the formula (I), the compound is shown in the specification,
wherein the content of the first and second substances,
and KsRespectively representing an internal force vector and a rigidity matrix of the external angle reinforcing device; n is the axial force of the reinforcing device unit; syAnd SzRespectively representing the shearing force of the external corner reinforcing device along two orthogonal directions; mxAnd MyRespectively representing bending moments of the external angle reinforcing device along two orthogonal directions; t represents the torque of the outer corner reinforcement;
respectively judging whether the external angle reinforcing device simultaneously meets a y-axis direction stable condition and a z-axis direction stable condition according to the internal force vector of the external angle reinforcing device;
the y-axis direction stable condition is expressed as:
in the formula (I), the compound is shown in the specification,
As＝bh+byhy+bzhz
wherein the content of the first and second substances,
represents the axial compression stability factor along the y-axis;
representing the overall stability coefficient of the flexural member along the z-axis; n represents the axial force acting on the outer corner reinforcement; myAnd MzRepresenting bending moments along the y-axis and along the z-axis, respectively; n'EyRepresenting the equivalent Euler critical force of the external corner reinforcing device along the y axis; wyAnd WzThe section moduli along the y-axis and the z-axis are indicated, respectively; beta is atzAnd betamyRespectively representing out-of-plane stable calculation equivalent bending moment coefficients along a z axis and a y axis; gamma rayyRepresents a section plasticity development coefficient along the y-axis corresponding to the section modulus; eta represents the influence coefficient of the section of the external angle reinforcing device; f represents the yield stress of the external corner reinforcing device; lambda [ alpha ]yThe slenderness ratio of the external corner reinforcing device around the y axis is shown; l0yRepresenting the calculated length around the y-axis when the external angle reinforcement device is unstable; i isysRepresenting the y-axis bending stiffness of the outside corner reinforcement; byAnd bzThe lengths of the right angle stiffener along the y-axis and z-axis, respectively; h isyAnd hzThe lengths of the right angle stiffener along the y-axis and z-axis, respectively; as and A respectively represent the cross-sectional area and the capillary cross-sectional area of the outer corner reinforcing device;
the z-axis direction stable condition is expressed as:
in the formula (I), the compound is shown in the specification,
As＝bh+byhy+bzhz
wherein the content of the first and second substances,
represents the axial compression stability factor along the z-axis;
representing the overall stability coefficient of the flexural member along the y-axis; n represents the axial force acting on the outer corner reinforcement; myAnd MzRepresenting bending moments along the y-axis and along the z-axis, respectively; n'EzRepresenting the equivalent Euler critical force of the external angle reinforcing device along the z axis; wyAnd WzThe section moduli along the y-axis and the z-axis are indicated, respectively; beta is amzAnd betatyRespectively representing out-of-plane stable calculation equivalent bending moment coefficients along a z axis and a y axis; gamma rayzRepresents a section plasticity development coefficient along the z-axis corresponding to the section modulus; eta represents the influence coefficient of the section of the external angle reinforcing device; f represents the yield stress of the external corner reinforcing device; lambda [ alpha ]zRepresenting the slenderness ratio of the external corner reinforcing device around the z-axis; l0zRepresenting the calculated length around the z-axis when the external angle reinforcement device is unstable; i iszsRepresenting the z-axis bending stiffness of the outside corner reinforcement; byAnd bzThe lengths of the right angle stiffener along the y-axis and z-axis, respectively; h isyAnd hzThe lengths of the right angle stiffener along the y-axis and z-axis, respectively; as and a represent the cross-sectional area and capillary cross-sectional area of the outside corner reinforcement, respectively.
8. The utility model provides a transmission tower anti-wind consolidates effect evaluation system which characterized in that, the system includes:
the data acquisition module is used for acquiring node information and physical parameters of each stiffening rib unit in the outer corner reinforcing device; the node information comprises node coordinates and stiffening rib geometric shape parameters; the physical parameters include modulus of elasticity, shear modulus, and density;
the first calculation module is used for obtaining the bending rigidity of the stiffening rib units according to the node information and the physical parameters of the stiffening rib units; the bending stiffness comprises y-axis bending stiffness, z-axis bending stiffness and an inertia product;
the second calculation module is used for obtaining a system matrix of the stiffening rib according to the bending rigidity of the stiffening rib unit; the system matrix comprises a stiffness matrix and a mass matrix;
the third calculation module is used for acquiring a system matrix of a right-angle reinforcing piece in the outer corner reinforcing device and acquiring the system matrix of the outer corner reinforcing device according to the system matrix of the stiffening rib and the right-angle reinforcing piece;
the first modeling module is used for acquiring a system matrix of the first main material rod piece and obtaining a first system stress model according to the outer corner reinforcing device and the system matrix of the first main material rod piece; the first main material rod piece comprises a plurality of main material rod piece units provided with outer corner reinforcing devices; the first system is composed of an outer corner reinforcing device and a first main material rod piece;
the second modeling module is used for acquiring a system matrix of a transmission tower system and acquiring a second system stress model according to the system matrix of the transmission tower system and the first system stress model; the second system consists of the first system and a transmission tower system; the transmission tower system comprises a second main material rod piece, an inclined material and an auxiliary material; the second main material rod piece comprises a plurality of main material rod piece units which are not provided with the external corner reinforcing devices;
and the effect evaluation module is used for establishing a second system wind load model and evaluating the wind-resistant reinforcing effect of the transmission tower according to the second system wind load model and the second system stress model.
9. A computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, characterized in that the steps of the method of any of claims 1 to 7 are implemented when the computer program is executed by the processor.
10. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, carries out the steps of the method of any one of claims 1 to 7.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202111394901.XA CN114329890A (en) | 2021-11-23 | 2021-11-23 | Method, system, equipment and medium for evaluating wind-resistant reinforcing effect of transmission tower |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202111394901.XA CN114329890A (en) | 2021-11-23 | 2021-11-23 | Method, system, equipment and medium for evaluating wind-resistant reinforcing effect of transmission tower |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN114329890A true CN114329890A (en) | 2022-04-12 |
Family
ID=81047630
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202111394901.XA Pending CN114329890A (en) | 2021-11-23 | 2021-11-23 | Method, system, equipment and medium for evaluating wind-resistant reinforcing effect of transmission tower |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN114329890A (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN117131628A (en) * | 2023-08-24 | 2023-11-28 | 武汉美格科技股份有限公司 | Wind resistance evaluation method, device and equipment for photovoltaic power generation device and storage medium |
-
2021
- 2021-11-23 CN CN202111394901.XA patent/CN114329890A/en active Pending
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN117131628A (en) * | 2023-08-24 | 2023-11-28 | 武汉美格科技股份有限公司 | Wind resistance evaluation method, device and equipment for photovoltaic power generation device and storage medium |
| CN117131628B (en) * | 2023-08-24 | 2024-03-19 | 武汉美格科技股份有限公司 | Wind resistance evaluation method, device and equipment for photovoltaic power generation device and storage medium |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Majid | Non-linear structures: matrix methods of analysis and design by computers | |
| Clarke et al. | Advanced analysis of steel building frames | |
| Wahba et al. | Evaluation of non-linear analysis of guyed antenna towers | |
| CN102682175B (en) | Method for analyzing reliability of construction error of grid structure based on buckling mode combination | |
| Chan | Buckling analysis of structures composed of tapered members | |
| CN114329890A (en) | Method, system, equipment and medium for evaluating wind-resistant reinforcing effect of transmission tower | |
| WO2021082959A1 (en) | Nonlinear dynamic time history analysis method for complex building structure | |
| Bai et al. | Modal and elastic time-history analysis of frames with tapered sections by non-prismatic elements | |
| Rinaldin et al. | On the behaviour of steel CBF for industrial buildings subjected to seismic sequences | |
| Komatsu et al. | Nonlinear analysis of spatial frames consisting of members with closed cross-sections | |
| Zhao et al. | Influence of random geometrical imperfection on stability of single-layer reticulated domes with semi-rigid connection | |
| Wong et al. | Geometrically nonlinear analysis of elastic framed structures | |
| Yeo | Multiple points-in-time estimation of peak wind effects on structures | |
| Park et al. | Equivalent static wind loads vs. database-assisted design of tall buildings: An assessment | |
| McCallen et al. | A continuum model for lattice structures with geometric and material nonlinearities | |
| Kim et al. | Practical second-order inelastic analysis for three-dimensional steel frames subjected to distributed load | |
| CN112214825B (en) | Selection method for input seismic waves with complex structure and shock resistance vulnerability | |
| CN111027125B (en) | Honeycomb equivalent unit and parameter calculation method based on same | |
| McCallen et al. | Nonlinear model for building-soil systems | |
| Long et al. | Finite particle method-based collapse simulation of space steel frame subjected to earthquake excitation | |
| Luo et al. | A new method for dynamic analysis of spatial lattice structures based on mode selection and mode construction techniques | |
| Meek et al. | A discrete Kirchoff plate bending element with loof nodes | |
| Nakata et al. | Mathematical modelling of hysteresis loops for reinforced concrete columns | |
| Wu et al. | A Lumped-mass model for the dynamic analysis of the spatial beam-like lattice girders | |
| Cheng et al. | Wind-induced load capacity analysis and parametric study of a long-span steel arch bridge under construction |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination |