A design method for strengthening purlin structure

Abstract

The present invention relates to the field of photovoltaic technology and provides a purlin structure reinforcement design method, comprising: establishing an initial design model of the purlin structure based on a number of target values, preset geometric information, and boundary physical parameters of the purlin structure; utilizing multi-condition topology optimization technology to perform morphological optimization on the initial design model to obtain a topologically optimized form of the purlin structure; and performing a reinforcement design of the purlin structure based on the topologically optimized form of the purlin structure. The present invention provides a purlin structure reinforcement design method that is easy to implement and low-cost, and can improve the mechanical properties of the purlin structure, directly increasing economic benefits.

Description

Technical Field

[0001] The present invention relates to the field of photovoltaic technology, and in particular to a purlin structure reinforcement design method. Background Art

[0002] In solar photovoltaic tracking systems, cold-bent purlins are used to support photovoltaic panels, installed between the main beam and the frame. However, the purlins currently available on the market are prone to bending. The reason for this is the lack of a sound design, which has led to a lack of user acceptance.

[0003] At the same time, to design a project well, one must have rich design experience. To do a good job in forward design, one needs rich design experience, but such designers are currently in short supply. According to the current situation in China, how to enhance the strength of the purlin structure has become an urgent problem to be solved. Summary of the Invention

[0004] In order to solve the above problems, the present invention provides a purlin structure reinforcement design method.

[0005] In order to achieve the above object of the present invention, the present invention is implemented by the following technologies:

[0006] The present invention provides a purlin structure reinforcement design method, comprising:

[0007] Establishing an initial design model of the purlin structure according to a plurality of target values ​​of the purlin structure, preset geometric information, and boundary physical parameters; wherein the plurality of target values ​​include: a static target value and a dynamic target value;

[0008] The initial design model is morphologically optimized using multi-condition topology optimization technology to obtain a topologically optimized form of the purlin structure, including:

[0009] The design variables of the initial design model are iteratively optimized and calculated as follows:

[0010]

[0011]

[0012]

[0013] Among them, ρ i is the design variable, is the design variable with the iteration number k+1; λ is the Lagrange multiplier; S i is the sensitivity of the i-th unit; k is the number of iteration steps; the static target value includes: U is the strain energy; U min is the minimum strain energy; U maxis the maximum strain energy; μ is the strain energy weight coefficient; the dynamic target value includes: Γ is the dynamic inverse proportional average eigenvalue; Γ min is the lower limit of the dynamic inverse proportional average eigenvalue; Γ max is the upper limit of the dynamic inverse proportional average eigenvalue;

[0014] Based on the topological optimization form of the purlin structure, performing a reinforcement design of the purlin structure;

[0015] Wherein, the installation positions of the parts of the purlin structure are generated according to the topological optimization form of the purlin structure.

[0016] In some embodiments, before performing morphological optimization on the initial design model using the multi-condition topology optimization technology to obtain the topologically optimized morphology of the purlin structure, the method further includes:

[0017] Unit information is defined according to the initial design model and values ​​are assigned to the units, and an optimization area and a non-optimization area are set for the initial design model.

[0018] In some embodiments, the use of multi-condition topology optimization technology to perform morphological optimization on the initial design model to obtain the topologically optimized morphology of the purlin structure includes:

[0019] Defining optimization problem information using the multi-condition topology optimization technology;

[0020] The optimization problem information is solved to obtain a topologically optimized form of the purlin structure.

[0021] In some embodiments, defining optimization problem information using the multi-condition topology optimization technology includes:

[0022] The optimization problem information includes design variables, operating conditions, constraints and optimization objectives, which are calculated as follows:

[0023] find:Ρ=(ρ1,ρ2,…,ρ n ) T , i=1,2,3...,n

[0024]

[0025] j=1,2,3...,J

[0026]

[0027] Where P is the unit relative density vector; ρ i is the relative density of the i-th unit; T is the matrix transpose; Φ(P) is the design target; ω jis the weight factor under the jth working condition; v is the total volume of the optimized structure; v0 is the initial overall structure volume; n is the total number of units; J is the total number of working conditions; F is the load vector; K is the stiffness matrix; η is the volume constraint factor; ρ min is the lower limit of unit relative density.

[0028] In some embodiments, the reinforcement design of the purlin structure based on the topological optimization form of the purlin structure includes:

[0029] An approximate parameterized model is established according to the topology optimized form, and structural optimization is performed on the approximate parameterized model to obtain a target topology optimized structure of the purlin structure that meets the target value.

[0030] In some embodiments, establishing an approximate parameterized model according to the topology optimized form, and performing structural optimization on the approximate parameterized model to obtain a target topology optimized structure of the purlin structure that meets the target value includes:

[0031] Conducting initial performance analysis on the approximate parameterized model using finite element software;

[0032] The design variables, working conditions, constraints and optimization objectives are selected through finite element software, and optimization calculations are performed to iteratively update the design variables to obtain the target topology optimized structure.

[0033] In some embodiments, a performance analysis is performed on the intermediate topology optimized structure corresponding to the iterative update of the design variables;

[0034] When the performance of the intermediate topology optimized structure meets the target value, the intermediate topology optimized structure is the target topology optimized structure;

[0035] When the performance of the intermediate topology optimization structure does not meet the target value, the optimization process is returned to continue.

[0036] In some embodiments, different finite element models are established according to different combination forms and usage environments of the target topology optimized structure, and mechanical performance simulation analysis and evaluation are performed on the target topology optimized structure.

[0037] In some embodiments, the reinforcement design of the purlin structure based on the topological optimization form of the purlin structure includes:

[0038] According to the topologically optimized form of the purlin structure, an engineering design is performed to obtain a reinforcement frame and a gasket.

[0039] In some embodiments, the reinforcement design of the purlin structure based on the topological optimization form of the purlin structure includes:

[0040] According to the topologically optimized form of the purlin structure, an engineering design is performed to obtain the target installation positions of the reinforcement frame and the gasket.

[0041] The present invention provides a purlin structure reinforcement design method having at least the following beneficial effects: The present invention provides a purlin structure reinforcement design method, which has the characteristics of easy implementation and low cost, and can improve the mechanical properties of the purlin structure, directly increasing economic benefits. BRIEF DESCRIPTION OF THE DRAWINGS

[0042] The preferred embodiment will be described below in a clear and understandable manner with reference to the accompanying drawings to further illustrate the above-mentioned characteristics, technical features, advantages and implementation methods of a purlin structure reinforcement design method.

[0043] Figure 1 It is a schematic diagram of an embodiment of a purlin structure reinforcement design method in the present invention;

[0044] Figure 2 This is a model diagram of the "J"-shaped purlin in the present invention;

[0045] Figure 3 It is a simulation result diagram of the optimized design in the present invention;

[0046] Figure 4 It is a closed enhanced block diagram of the present invention;

[0047] Figure 5 It is the opening reinforcement frame diagram of the present invention;

[0048] Figure 6 It is a gasket diagram of the present invention;

[0049] Figure 7 It is the general assembly drawing of the present invention. DETAILED DESCRIPTION

[0050] In the following description, specific details such as specific system structures and technologies are provided for illustration rather than limitation to facilitate a thorough understanding of the embodiments of the present application. However, it should be clear to those skilled in the art that the present application may be implemented in other embodiments without these specific details. In other cases, detailed descriptions of well-known systems, devices, circuits, and methods are omitted to avoid obstructing the description of the present application with unnecessary details.

[0051] It will be understood that when used in this specification and the appended claims, the term "comprising" indicates the presence of the described features, integers, steps, operations, elements and / or components, but does not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components and / or collections.

[0052] To simplify the drawings, only the parts relevant to the present invention are schematically shown in each figure. They do not represent the actual structure of the product. Furthermore, to simplify the drawings and facilitate understanding, in some figures, only one of the components with the same structure or function is schematically depicted or labeled. As used herein, "one" not only means "only one" but also "more than one."

[0053] It should be further understood that the term "and / or" used in this specification and the appended claims refers to and includes any and all possible combinations of one or more of the associated listed items.

[0054] In addition, in the description of the present application, the terms "first", "second", etc. are only used to distinguish the description and cannot be understood as indicating or implying relative importance.

[0055] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the specific embodiments of the present invention will be described below with reference to the accompanying drawings. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings and other embodiments can be obtained based on these drawings without inventive work.

[0056] In one embodiment, Figure 1 As shown, the present invention provides a purlin structure reinforcement design method, comprising:

[0057] S100 establishes an initial design model of the purlin structure according to several target values ​​of the purlin structure, preset geometric information, and boundary physical parameters; wherein the several target values ​​include: static target values ​​and dynamic target values.

[0058] Specifically, we conduct research on the actual use environment and user needs of the purlin structure, collect basic data that meets user needs, process the data to obtain preset geometric information and boundary physical parameters, analyze the working engineering conditions, and determine the target values ​​for each working condition.

[0059] Specifically, digital modeling converts the geometric information and boundary physical parameters required by users into three-dimensional CAE models.

[0060] S200 uses multi-condition topology optimization technology to perform morphological optimization on the initial design model to obtain the topologically optimized morphology of the purlin structure, including:

[0061] The design variables of the initial design model are iteratively optimized and calculated as follows:

[0062]

[0063]

[0064] Among them, ρ i is the design variable, is the design variable with the iteration number k+1; λ is the Lagrange multiplier; S i is the sensitivity of the i-th unit; k is the number of iteration steps; the static target value includes: U is the strain energy; U min is the minimum strain energy; U max is the maximum strain energy; μ is the strain energy weight coefficient; the dynamic target value includes: Γ is the dynamic inverse proportional average eigenvalue; Γ min is the lower limit of the dynamic inverse proportional average eigenvalue; Γ max is the upper limit of the dynamic inverse proportional mean eigenvalue.

[0065] S300 performs a reinforcement design of the purlin structure based on the topological optimization form of the purlin structure.

[0066] Wherein, the installation positions of the parts of the purlin structure are generated according to the topological optimization form of the purlin structure.

[0067] This embodiment proposes a purlin structure reinforcement design method. The method first proposes an iterative formula, performs topology optimization under static and dynamic multi-working condition design objectives, and then performs engineering design based on the optimization results to obtain a reinforced purlin structure.

[0068] At the same time, this embodiment can not only improve the mechanical properties of the purlin structure, but also greatly shorten the structure development cycle and improve the development efficiency.

[0069] In one embodiment, before performing morphological optimization on the initial design model using the multi-condition topology optimization technology to obtain the topologically optimized morphology of the purlin structure, the method further includes:

[0070] Unit information is defined according to the initial design model and values ​​are assigned to the units, and an optimization area and a non-optimization area are set for the initial design model.

[0071] In one embodiment, the method of using a multi-condition topology optimization technique to perform morphological optimization on the initial design model to obtain a topologically optimized morphology of the purlin structure includes:

[0072] Defining optimization problem information using the multi-condition topology optimization technology;

[0073] The optimization problem information is solved to obtain a topologically optimized form of the purlin structure.

[0074] The multi-condition topology optimization technology is used to define the optimization problem information, including:

[0075] The optimization problem information includes design variables, operating conditions, constraints and optimization objectives, which are calculated as follows:

[0076] find:Ρ=(ρ1,ρ2,…,ρ n ) T , i=1,2,3...,n

[0077]

[0078] j=1,2,3...,J

[0079]

[0080] Where P is the unit relative density vector; ρ i is the relative density of the i-th unit; T is the matrix transpose; Φ(P) is the design target; ω j is the weight factor under the jth working condition; v is the total volume of the optimized structure; v0 is the initial overall structure volume; n is the total number of units; J is the total number of working conditions; F is the load vector; K is the stiffness matrix; η is the volume constraint factor; ρ min is the lower limit of unit relative density.

[0081] Specifically, the variable density method is first used to perform topological optimization on the purlin to obtain the optimal topological form of the purlin structure. Then, engineering design is carried out based on the optimized form to establish a three-dimensional geometric model of the new purlin structure.

[0082] With the goal of minimizing the flexibility of the purlin structure and the volume as a constraint, the mathematical model of topology optimization based on the variable density theory SIMP method is expressed as follows:

[0083] find:Ρ=(ρ1,ρ2,…,ρ n ) T , i=1,2,3...,n

[0084]

[0085] j=1,2,3...,J

[0086]

[0087] Where P is the unit relative density vector; Φ(P) is the design target, i.e., the structural compliance; U is the displacement vector of the structure; K is the stiffness matrix; k0 is the initial unit stiffness matrix; ui is the displacement vector of the i-th unit; v is the total volume of the optimized structure; v0 is the initial overall structure volume; η is the volume constraint factor, which is taken as 0.75 here; F is the load vector; ρ minis the lower limit of the unit relative density, which is taken as 0.001 here to avoid singular points during solution.

[0088] Among them, the stiffness matrix K is:

[0089]

[0090] The total volume of the structure is:

[0091]

[0092] Where V i is the volume of the i-th unit.

[0093] The optimization criterion method is used to solve the topology optimization problem of the topology optimization mathematical model, and the Lagrangian equation is constructed to obtain the relative density ρ based on the optimization criterion method. i The iterative formula of .

[0094] In one embodiment, the reinforcement design of the purlin structure based on the topological optimization form of the purlin structure includes:

[0095] An approximate parameterized model is established according to the topology optimized form, and structural optimization is performed on the approximate parameterized model to obtain a target topology optimized structure of the purlin structure that meets the target value.

[0096] In one embodiment, establishing an approximate parameterized model according to the topology optimized form, and performing structural optimization on the approximate parameterized model to obtain a target topology optimized structure of the purlin structure that meets the target value includes:

[0097] Conducting initial performance analysis on the approximate parameterized model using finite element software;

[0098] The design variables, working conditions, constraints and optimization objectives are selected through finite element software, and optimization calculations are performed to iteratively update the design variables to obtain the target topology optimized structure.

[0099] Specifically, the purlin structure topology optimization design model in this embodiment is divided into two side purlins and a central main purlin, and the entire structure bears a uniformly distributed load. Since the middle of the purlin is connected to the main axis of the bracket, a fixed constraint is applied in the middle. Because solar photovoltaic brackets work outdoors for a long time, the material selected is magnesium-aluminum-zinc-plated steel with a bending strength of 420MPa, an elastic modulus of 210GPa, a Poisson's ratio of 0.3, and a density of 7850kg / mm3. The middle purlin bears a large load, so the purlin in the middle part is selected as the optimization design object.

[0100] like Figure 3Shown are the topology optimization results for the center purlin. The purlin is divided into optimized and non-optimized regions, with the latter being connected to the components. From a morphological perspective, the material distribution is highly symmetrical, with both ends and the top surface of the center purlin remaining closed. Material removal occurs primarily within the purlin and at the bottom of the center purlin.

[0101] In one embodiment, it further includes:

[0102] Performing performance analysis on the intermediate topology optimization structure corresponding to the iterative update of the design variables;

[0103] When the performance of the intermediate topology optimized structure meets the target value, the intermediate topology optimized structure is the target topology optimized structure;

[0104] When the performance of the intermediate topology optimization structure does not meet the target value, the optimization process is returned to continue.

[0105] In one embodiment, it further includes:

[0106] Different finite element models are established according to different combination forms and usage environments of the target topology optimization structure, and mechanical performance simulation analysis and evaluation of the target topology optimization structure are performed.

[0107] Specifically, the purlin structures before and after optimization were simulated, analyzed and compared from the perspectives of bending and torsional mechanical properties.

[0108] The flexural performance of the purlin structure before and after optimization was simulated and analyzed. The maximum deformation of the original purlin was 10.86 mm, resulting in a maximum stress of 418.4 MPa. The maximum deformation of the optimized purlin structure was 11.83 mm, resulting in a maximum stress of 419.7 MPa. The comparison of the results shows that the flexural performance of the new purlin structure has been enhanced.

[0109] Under the same torsional force, the maximum deformation of the purlin structure before and after optimization is reduced from the original 44.61mm to 32.59mm, which shows that the torsional performance of the new purlin has also been improved.

[0110] This embodiment proposes a high-rigidity reinforcement design method for cold-formed steel structures. Taking a cold-formed purlin structure as an example, based on a topological optimization design method, the material distribution of the purlin structure is obtained, and an engineering design is performed. The relevant components are manufactured and processed. Finally, the effectiveness of the optimization design strategy is verified through simulation comparative analysis and experimental testing.

[0111] In one embodiment, the reinforcement design of the purlin structure based on the topological optimization form of the purlin structure includes:

[0112] According to the topologically optimized form of the purlin structure, an engineering design is performed to obtain a reinforcement frame and a gasket.

[0113] In one embodiment, the reinforcement design of the purlin structure based on the topological optimization form of the purlin structure includes:

[0114] According to the topologically optimized form of the purlin structure, an engineering design is performed to obtain the target installation positions of the reinforcement frame and the gasket.

[0115] Specifically, due to the presence of rotating motors between some purlins and the main shaft, the original purlins were 80mm high, 1.5mm thick, and 3000mm long. The purlins were redesigned to 90mm high, 1.2mm thick, and the length remained unchanged.

[0116] In order to enhance the mechanical properties of the new purlin and take into account the economic benefits, two parts for local reinforcement are designed according to the topological optimization form: reinforcement frame and gasket, both of which are riveted to the purlin to form the new purlin structure. Figure 7 As shown, the rectangular reinforcement frames are symmetrically placed at both ends of the connection between the purlin and the main beam, and the gaskets are symmetrically placed at both ends of the purlin.

[0117] In this embodiment, the parts designed through engineering based on the topological configuration are easy to process and install, and have high cost performance.

[0118] In one embodiment, the present invention provides a purlin structure reinforcement design method, specifically comprising:

[0119] Step 1: The purlin structure has a variety of cross-sectional forms (C-type, H-type, etc.). Here we take the "J"-shaped purlin as an example.

[0120] Establish a mathematical model under static and dynamic multi-objective and multi-working conditions:

[0121] 1. Static objectives refer to minimizing strain energy, compliance, or static stiffness; dynamic objectives refer to maximizing frequency response, natural frequency, or dynamic stiffness. Static and dynamic objectives each correspond to different classical solution formulas, and although they address two different problems, they can be combined in some way.

[0122] 2. Multi-working conditions refer to multiple working conditions. For example, there are three loading directions of force. Forces in different loading directions will produce different strain energies. At this time, the magnitude of the force cannot be simply arithmetically added directly, but some methods must be adopted, such as the weighted algorithm here.

[0123] find:Ρ=(ρ1,ρ2,…,ρ n) T

[0124] i=1,2,3...,n

[0125]

[0126] j=1,2,3...,J

[0127]

[0128] Where P is the unit relative density vector; ρ i is the relative density of the i-th unit; T is the matrix transpose; n is the total number of units; Φ(P) is the design target; J is the total number of working conditions; ω j is the weight factor under the jth working condition; U is the strain energy; U min is the minimum strain energy; U max is the maximum strain energy; μ is the strain energy weight coefficient; Γ is the dynamic inverse proportional average eigenvalue; Γ min is the lower limit of the dynamic inverse proportional average eigenvalue; Γ max is the upper limit of the dynamic inverse proportional average eigenvalue; v is the total volume of the optimized structure; v0 is the initial overall structure volume; η is the volume constraint factor; F is the load vector; ρ min is the lower limit of the unit relative density. K is the stiffness matrix.

[0129] This is an optimization operation for the initial geometric model, which has inherent information such as volume and mass. For this target formula, you need to input ρ min , J, ω j , μ, η, F, stiffness matrix K and the total number of elements n.

[0130] Step 2: Optimize the design iteration formula:

[0131] Design variable ρ i The iterative formula is:

[0132]

[0133]

[0134] Where λ is the Lagrange multiplier; S i is the sensitivity of the i-th unit; k is the number of iteration steps.

[0135] Step 3: Optimize result extraction

[0136] The model is divided into an optimized part and a non-optimized part. The non-optimized part is the assembly area and must be retained; the optimized part is designed according to the above iterative formula to extract the final design result.

[0137] Step 4: Use engineering design.

[0138] Due to the constraints of processing costs, it is necessary to carry out engineering design on the optimized design results.

[0139] Based on the topologically optimized shape, two parts for local reinforcement are designed: a reinforcement frame and a gasket, both of which are connected to the purlins by riveting or bolts to form a new purlin structure.

[0140] The specific installation locations of components are determined by the optimized topology. (The topology will indicate where material is needed and where it is not.) Rectangular reinforcement frames are placed symmetrically at the ends of the purlin-to-girder connection, and spacers are placed symmetrically at both ends of the purlin.

[0141] The present embodiment provides a method for strengthening the purlin structure, which is easy to implement and low-cost. It can improve the mechanical properties of the purlin structure and directly increase the economic benefits. The static and dynamic performances of the optimized new purlin structure have been improved, effectively improving the economic benefits of the photovoltaic power station. The optimization design results show that the strengthening design strategy is efficient and widely practical, and provides ideas for the strengthening design of cold-bent steel structures for engineering manufacturing. The final failure results of the physical experiment and simulation analysis under simulated real-world wind and snow loads are basically consistent, which can greatly improve the research and development efficiency of the bracket steel structure designers in the future.

[0142] Those skilled in the art will clearly understand that, for the sake of convenience and brevity of description, only the division of the above-mentioned program modules is used as an example for illustration. In actual applications, the above-mentioned functions can be assigned to different program modules as needed, that is, the internal structure of the device can be divided into different program units or modules to complete all or part of the functions described above. The program modules in the embodiment can be integrated into one processing unit, or each unit can exist physically alone, or two or more units can be integrated into one processing unit. The above-mentioned integrated unit can be implemented in the form of hardware or in the form of a software program unit. In addition, the specific names of the program modules are only for the purpose of distinguishing each other and are not used to limit the scope of protection of this application.

[0143] In the above embodiments, the description of each embodiment has its own focus. For parts that are not described or recorded in detail in a certain embodiment, reference can be made to the relevant description of other embodiments.

[0144] Those skilled in the art will appreciate that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented with electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Professional and technical personnel can use different methods to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of this application.

[0145] In the embodiments provided in this application, it should be understood that the disclosed devices and methods can be implemented in other ways. Exemplarily, the device embodiments described above are merely schematic. Exemplarily, the division of the modules or units is merely a logical function division. There may be other division methods in actual implementation. Exemplarily, multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the mutual coupling or direct coupling or communication connection shown or discussed can be through some interfaces, and the indirect coupling or communication connection of the devices or units can be electrical, mechanical or other forms.

[0146] The units described as separate components may or may not be physically separate, and the components shown as units may or may not be physical units, that is, they may be located in one place or distributed across multiple network units. Some or all of these units may be selected to achieve the purpose of this embodiment according to actual needs.

[0147] In addition, the functional units in the various embodiments of the present application may be integrated into a single processing unit, or each unit may exist physically separately, or two or more units may be integrated into a single unit. The aforementioned integrated units may be implemented in the form of hardware or software functional units.

[0148] It should be noted that the above embodiments can be freely combined as needed. The above description is only a preferred embodiment of the present invention. It should be pointed out that those skilled in the art can make several improvements and modifications without departing from the principles of the present invention, and such improvements and modifications should also be considered within the scope of protection of the present invention.

Claims

1. A purlin structure reinforcement design method, characterized in that: include: Establishing an initial design model of the purlin structure according to a plurality of target values ​​of the purlin structure, preset geometric information, and boundary physical parameters; wherein the plurality of target values ​​include: a static target value and a dynamic target value; Utilizing a multi-condition topology optimization technology to optimize the morphology of the initial design model to obtain a topology optimized morphology of the purlin structure, specifically comprising: utilizing a variable density method to optimize the morphology of the initial design model and establishing a topology optimization mathematical model based on the variable density method; The topology optimization problem of the topology optimization mathematical model is solved by using an optimization criterion method, a Lagrange equation is constructed, an iterative formula based on the optimization criterion method is obtained, and iterative optimization is performed using the iterative formula based on the optimization criterion method to obtain the topology optimization form of the purlin structure, including: The design variables of the initial design model are iteratively optimized, and the iterative formula is as follows: Among them, ρ i is the design variable, is the design variable with the iteration number k+1; λ is the Lagrange multiplier; S i is the sensitivity of the i-th unit; k is the number of iteration steps; the static target value includes: U is the strain energy; U min is the minimum strain energy; U max is the maximum strain energy; μ is the strain energy weight coefficient; the dynamic target value includes: Γ is the dynamic inverse proportional average eigenvalue; Γ min is the lower limit of the dynamic inverse proportional average eigenvalue; Γ max is the upper limit of the dynamic inverse proportional average eigenvalue; v i is the structural volume of the i-th unit; ω j is the weight factor under the jth working condition; Based on the topologically optimized form of the purlin structure, a reinforcement design of the purlin structure is performed; specifically, the reinforcement design includes: performing engineering design according to the topologically optimized form of the purlin structure to obtain a reinforcement frame and a gasket; Wherein, the installation positions of the parts of the purlin structure are generated according to the topological optimization form of the purlin structure.

2. The purlin structure reinforcement design method according to claim 1, characterized in that: Before performing morphological optimization on the initial design model using the multi-condition topology optimization technology to obtain the topologically optimized morphology of the purlin structure, the method further includes: Unit information is defined according to the initial design model and values ​​are assigned to the units, and an optimization area and a non-optimization area are set for the initial design model.

3. The purlin structure reinforcement design method according to claim 1, characterized in that: The method of using the multi-condition topology optimization technology to optimize the initial design model to obtain the topology optimized form of the purlin structure includes: Defining optimization problem information using the multi-condition topology optimization technology; The optimization problem information is solved to obtain a topologically optimized form of the purlin structure.

4. The purlin structure reinforcement design method according to claim 3, characterized in that: The use of the multi-condition topology optimization technology to define optimization problem information includes: The optimization problem information includes design variables, operating conditions, constraints and optimization objectives, which are calculated as follows: Where P is the unit relative density vector; ρ i is the relative density of the i-th unit; T is the matrix transpose; Φ(P) is the design target; v is the total volume of the optimized structure; v0 is the initial overall structure volume; n is the total number of units; J is the total number of working conditions; F is the load vector; K is the stiffness matrix; η is the volume constraint factor; ρ min is the lower limit of unit relative density.

5. The purlin structure reinforcement design method according to claim 1, characterized in that: The strengthening design of the purlin structure based on the topological optimization form of the purlin structure includes: An approximate parameterized model is established according to the topology optimized form, and structural optimization is performed on the approximate parameterized model to obtain a target topology optimized structure of the purlin structure that meets the target value.

6. The purlin structure reinforcement design method according to claim 5, characterized in that: The step of establishing an approximate parameterized model according to the topology optimization form, and performing structural optimization on the approximate parameterized model to obtain a target topology optimized structure of the purlin structure that meets the target value includes: Conducting initial performance analysis on the approximate parameterized model using finite element software; The design variables, working conditions, constraints and optimization objectives are selected through finite element software, and optimization calculations are performed to iteratively update the design variables to obtain the target topology optimized structure.

7. The purlin structure reinforcement design method according to claim 6, characterized in that: Also includes: Performing performance analysis on the intermediate topology optimization structure corresponding to the iterative update of the design variables; When the performance of the intermediate topology optimized structure meets the target value, the intermediate topology optimized structure is the target topology optimized structure; When the performance of the intermediate topology optimization structure does not meet the target value, the optimization process is returned to continue.

8. The purlin structure reinforcement design method according to any one of claims 5 to 7, characterized in that: Also includes: Different finite element models are established according to different combination forms and usage environments of the target topology optimization structure, and mechanical performance simulation analysis and evaluation of the target topology optimization structure are performed.

9. The purlin structure reinforcement design method according to claim 8, characterized in that: The strengthening design of the purlin structure based on the topological optimization form of the purlin structure includes: According to the topologically optimized form of the purlin structure, an engineering design is performed to obtain the target installation positions of the reinforcement frame and the gasket.

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