CN111639374A - Geiger type cable dome structure robustness optimization system - Google Patents

Abstract

The invention discloses a Geiger-type cable dome structure robustness optimization system, comprising an original model feature extraction module, a passage module, and a structure robustness screening module; the original model feature extraction module, a package feature extraction sub-module, and an optimization module Spatial extraction sub-module; the screening module is used to calculate the fitness of each individual in the population generated by the passage module, and eliminate the individuals whose fitness is "natural selection" according to the fitness. The fitness includes structural robustness. Robustness dimension, the structural robustness is evaluated by the structural robustness index, the better the structural robustness, the smaller the structural robustness index. The Geiger-type cable dome structure robustness optimization system adopted in the present invention has a general structural robustness optimization capability for the Geiger-type cable dome structure due to the combination of shape features and cross-sectional area features, and shows different degrees of improvement for the original model. Optimization effect.

Description

A Robust Optimization System for Geiger Cable Dome Structure

technical field

The invention belongs to the field of architectural design, and more particularly relates to a Geiger-type cable dome structure robustness optimization system.

Background technique

The cable dome structure has developed so far, and there are various morphological systems according to the different ways of cable distribution, such as Geiger type, Levy type, Kiewitt type and bird's nest cable dome. Geiger type, also known as rib-ring type, is the simplest and most common form of cable dome structure, and the ridge cables between each span are different from each other. Therefore, the overall performance is weak, and the out-of-plane stability performance of the single truss is also weak.

In the current structural design and construction, in terms of the cognition and judgment of the structure's own attributes and the effects of the structure itself, the influences caused by the inherent uncertainties of its own attributes and effects often do not receive due attention. . At the same time, the precise mathematical model we use in the study of structural characteristics often gives it an ideal state from an ideal point of view, and the structure is often far from the actual state. Therefore, the safety of the structure has become an unstable factor, and some disadvantages often begin to emerge after the structure has been used for a period of time. In addition, with the progress and development of society, the form of structure tends to change constantly: building materials are getting lighter and lighter, building spans are getting bigger and bigger, building structures are getting more and more complex, and building efficiency is getting higher and higher. Therefore, when all the uncertainties and changing requirements are continuously improved, the imperfection and instability of the structure itself will also be amplified, so it is possible that after experiencing a series of natural factors and even the interference of man-made damage, the structure will Facing the serious consequences of the overall damage caused by local component failure, or the collapse of the overall structure due to the deviation of local design parameters.

The collapse of these structures is mostly caused by excessive loads, insufficient safety factor of accidental loads, construction geometric deviations, etc., and ultimately economic losses and casualties due to the failure of the structure due to the butterfly effect. However, it is uneconomical to greatly improve the design standard of the structure just because of accidental disturbance, accidental overload and sudden load. It is unrealistic to require the general structure to remain intact in the event of an accident. A thorough knowledge of , materials, loads, etc. is also impossible. Therefore, it is a suitable way to improve the robustness of the structure, that is, to make the structure insensitive to disturbance through reasonable topology and stiffness design, so as to improve the ability of the structure to resist disproportionate damage and avoid overall collapse.

SUMMARY OF THE INVENTION

In view of the above defects or improvement needs of the prior art, the present invention provides a Geiger-type cable dome structure robustness optimization system, the purpose of which is to optimize the shape features and cross-sectional area characteristics of the Geiger-type cable dome structure as a whole. Including the fitness of different dimensions about the structural robustness, genetic optimization is carried out, so as to obtain a Geiger-type cable dome structure model with better structural robustness, thereby solving the difficulty in the robustness of the Geiger-type cable dome structure in the prior art. good, technical problems such as damage and collapse occurred outside the time.

In order to achieve the above object, according to one aspect of the present invention, a Geiger-type cable dome structural robustness optimization system is provided, including an original model feature extraction module, a passage module, and a structural robustness screening module;

The original model feature extraction module includes a feature extraction submodule for extracting optimization variables including shape features and cross-sectional parameters of various types of rods for the original Geiger-type cable dome structure, and a feature extraction submodule for determining shape features and various types of rods The optimization space extraction sub-module of the section parameter optimization space;

The generation module uses the shape features of the original Geiger-type cable dome structure and the cross-sectional parameters of various types of rods extracted by the original model feature extraction module to optimize the initial population of the spatial coding genetic algorithm according to the parameters, and according to the structure robustness The screening results of the sexual screening module are continuously passaged until the number of passages reaches the preset number of passages threshold;

The screening module is used to calculate the fitness of each individual in the population generated by the passaging module, and perform "natural selection" individual elimination according to the fitness, and select the individuals in the population according to the higher the fitness. The larger principle is to select into the next generation population, eliminate other individuals, return the retained individuals to the passage module, and when the number of passages reaches the preset threshold of passage times, decode the individual with the highest fitness to obtain the optimized Geiger The shape characteristics of the cable dome structure and the section parameters of various rods;

The fitness includes a dimension of structural robustness, and the structural robustness is evaluated by a structural robustness index. The better the structural robustness is, the smaller the structural robustness index is; the fitness includes the structural robustness. dimension, the filtering model is written as:

Fitness is the inverse of structural robustness.

Preferably, in the Geiger-type cable dome structure robust optimization system, the shape features extracted by the feature extraction sub-module include: the node coordinate features of the cable dome structure model, specifically including: the node elevation at the top of the strut, the height of the strut , and/or the radius of the loop; the section parameters of various types of rods extracted by the feature extraction module are the cross-sectional areas of various types of rods.

Preferably, in the Geiger-type cable dome structure robustness optimization system, the optimization variables are the following: node elevation at the top of the strut, height of the strut, radius of the loop cable, and cross-sectional area of various rods.

Preferably, in the Geiger-type cable dome structure robustness optimization system, the optimization space extraction sub-module determines the shape features and the optimization space of cross-section parameters of various types of rods, so that the stress of various rods in the optimization space is not exceeds its material yield strength.

Preferably, in the Geiger-type cable dome structure robustness optimization system, the stress of various rods does not exceed the lower limit of the material yield strength, and the calculation methods for the stress of various rods are as follows:

Firstly, a balance matrix A is constructed based on the geometric topological relationship of the cable-dome structure; the left singular orthogonal matrix and the right singular orthogonal matrix of the balance matrix A are obtained by using matrix theory, and then the independent mechanism displacement mode and independent self-stress mode of the structure are obtained. ; Then determine the independent self-stress modal combination coefficient according to the optimization design objective, so as to determine the initial prestress design value of the structure; finally, according to the load conditions in the actual project, calculate the internal force of each member during use, and divide it by the cross-sectional area of each member. Stresses of various rods can be obtained.

Preferably, in the Geiger-type cable-dome structure robustness optimization system, the passage module includes an encoding sub-module and an iterative sub-module;

The encoding sub-module is used to encode the shape features of the original Geiger-type cable dome structure and the cross-sectional parameters of various types of rods extracted by the original model feature extraction module as individuals, and transmit them to the generation sub-module;

The passage submodule is used to generate the initial population according to the individuals obtained by the coding submodule, or to generate the next generation population according to the individuals with higher fitness obtained by the screening module; and the generation of the next generation population is specifically, for the initial population or Individuals with higher fitness obtained by the screening module are replicated, crossed and mutated to obtain the next generation population.

Preferably, the Geiger-type cable-dome structure robustness optimization system, which crosses the initial population or the individuals with higher fitness obtained by the screening module is specifically: coding and crossing the replicated individuals to simulate the genetic law to generate New individuals and enter the next generation population; the crossover probability is preferably 0.6-0.8.

Preferably, in the Geiger-type cable-dome structure robustness optimization system, mutating the initial population or the individuals with higher fitness obtained by the screening module is specifically: coding the replicated individuals according to the mutation probability to the individuals New individuals are randomly replaced or entered into the next generation population, and the mutation probability is preferably 0.1-0.3.

Preferably, in the Geiger-type cable-dome structure robustness optimization system, the screening module includes a fitness calculation sub-module and a decoding sub-module; the fitness calculation module is used to calculate the fitness of each individual in the population ; The decoding sub-module is used to decode the individual with the highest fitness to obtain the optimized shape features of the Geiger-type cable dome structure and the cross-sectional parameters of various rods.

Preferably, in the Geiger-type cable-dome structure robustness optimization system, the fitness further includes the quality dimension of the Geiger-type cable-dome structure;

The fitness includes the structural robustness dimension and the quality dimension of the Geiger-type cable dome structure, and the screening model is recorded as:

The fitness is the inverse of the structural robustness index, and the fitness threshold is that the structural robustness exceeds the structural robustness threshold and the mass M of the Geiger-type cable dome structure does not exceed the mass M ₀ of the original Geiger-type cable dome structure.

)dt)^1/2，所述Q为加权矩阵，本文指常规荷载F₀和干扰荷载w(t)合力F_k的概率分布函数，具体计算公式如下：Among them, SF _i is the shape feature, _{A k} is the section parameter of various types of rods, and IR is the structural robustness of the Geiger-type cable-dome structure s when the shape feature SF _i and the section parameters A _k of various types of rods are used indicator, G(s) is the system transfer function,

)dt) ^1/2 , the Q is a weighting matrix, this paper refers to the probability distribution function of the resultant force F _k of the conventional load F ₀ and the disturbance load w(t), and the specific calculation formula is as follows:

Mass of Geiger-type cable dome structures

In general, compared with the prior art, the above technical solutions conceived by the present invention can achieve the following beneficial effects:

The Geiger-type cable dome structure robustness optimization system adopted in the present invention has a general structural robustness optimization capability for the Geiger-type cable dome structure due to the combination of shape features and cross-sectional area features, and shows different degrees of improvement for the original model. Optimization effect.

The preferred solution is to use the elevation of the top node of the strut, the height of the strut, the radius of the ring cable and the cross-sectional area of various rods as the optimization variables, and the multi-objective optimization including the latitude of robustness and the latitude of the structural quality of the Geiger-type cable dome, It can reduce the amount of calculation and ensure that the quality of the structure does not increase while achieving robust optimization.

Description of drawings

1 is a schematic structural diagram of a Geiger-type cable dome structure robustness optimization system provided by the present invention;

2 is a schematic structural diagram of an original Geiger-type cable dome provided by an embodiment of the present invention;

FIG. 3 is a schematic structural diagram of the original Geiger-type cable dome single beam provided by an embodiment of the present invention.

Detailed ways

In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not conflict with each other.

The Geiger-type cable dome structure robustness optimization system provided by the present invention, as shown in FIG. 1 , includes an original model feature extraction module, a passage module, and a structure robustness screening module;

The original model feature extraction module includes a feature extraction submodule for extracting optimization variables including shape features and cross-sectional parameters of various types of rods for the original Geiger-type cable dome structure, and a feature extraction submodule for determining shape features and various types of rods The optimization space extraction sub-module of the section parameter optimization space;

The shape features extracted by the feature extraction sub-module include: the node coordinate features of the cable dome structure model, specifically including: the node elevation of the top of the strut, the height of the strut, and/or the radius of the ring cable; The section parameters of the rods are the cross-sectional areas of various rods;

The optimization variables are preferably the following: the elevation of the top node of the strut, the height of the strut, the radius of the loop cable, and the cross-sectional area of various rods;

The optimization space extraction sub-module determines the shape features and the optimization space of the section parameters of various rods, so that the stress of various rods in the optimized space does not exceed the material yield strength; specifically:

The stress of various rods does not exceed the lower limit of the material yield strength. The calculation methods of the stress of various rods are as follows:

Firstly, a balance matrix A is constructed based on the geometric topological relationship of the cable-dome structure; the left singular orthogonal matrix and the right singular orthogonal matrix of the balance matrix A are obtained by using matrix theory, and then the independent mechanism displacement mode and independent self-stress mode of the structure are obtained. ; Then determine the independent self-stress modal combination coefficient according to the optimization design objective, so as to determine the initial prestress design value of the structure; finally, according to the load conditions in the actual project, calculate the internal force of each member during use, and divide it by the cross-sectional area of each member. Stresses of various rods can be obtained.

The generation module uses the shape features of the original Geiger-type cable dome structure and the cross-sectional parameters of various types of rods extracted by the original model feature extraction module to optimize the initial population of the spatial coding genetic algorithm according to the parameters, and according to the structure robustness The screening results of the sexual screening module are continuously passaged until the number of passages reaches the preset number of passages threshold;

The passage module includes an encoding submodule and an iterating submodule;

The encoding sub-module is used to encode the shape features of the original Geiger-type cable dome structure and the cross-sectional parameters of various types of rods extracted by the original model feature extraction module as individuals, and transmit them to the generation sub-module;

The passage submodule is used to generate the initial population according to the individuals obtained by the coding submodule, or to generate the next generation population according to the individuals with higher fitness obtained by the screening module; and the generation of the next generation population is specifically, for the initial population or Individuals with higher fitness obtained by the screening module are replicated, crossed and mutated to obtain the next generation population.

The crossover of the initial population or the individuals with higher fitness obtained by the screening module is specifically: coding the replicated individuals and crossover to simulate the genetic law to generate new individuals and enter the next generation population; the crossover probability is preferably 0.6-0.8 .

Mutating the initial population or the individuals with higher fitness obtained by the screening module is specifically: randomly replacing the code of the individual for the replicated individuals according to the mutation probability or creating a new individual and entering the next generation population, the mutation probability Preferably it is 0.1-0.3.

The screening module is used to calculate the fitness of each individual in the population generated by the passaging module, and perform "natural selection" individual elimination according to the fitness, and select the individuals in the population according to the higher the fitness. The larger principle is to select into the next generation population, eliminate other individuals, return the retained individuals to the passage module, and when the number of passages reaches the preset threshold of passage times, decode the individual with the highest fitness to obtain the optimized Geiger The shape characteristics of the cable dome structure and the section parameters of various rods.

The screening module includes a fitness calculation submodule and a decoding submodule;

The fitness calculation module is used to calculate the fitness of each individual in the population; the fitness includes the structural robustness dimension, preferably including the quality dimension of the Geiger-type cable-dome structure. The structural robustness is evaluated by the structural robustness index. The better the structural robustness is, the smaller the structural robustness index is.

When the fitness includes the structural robustness dimension, the screening model is recorded as:

Fitness is the inverse of structural robustness.

The fitness includes the structural robustness dimension and the quality dimension of the Geiger-type cable dome structure, and the screening model is recorded as:

The fitness is the inverse of the structural robustness index, and the fitness threshold is that the structural robustness exceeds the structural robustness threshold and the mass M of the Geiger-type cable dome structure does not exceed the mass M ₀ of the original Geiger-type cable dome structure.

所述Q为加权矩阵，本文指常规荷载F₀和干扰荷载w(t)合力F_k的概率分布函数，具体计算公式如下：Among them, SF _i is the shape feature, _{A k} is the section parameter of various types of rods, and IR is the structural robustness of the Geiger-type cable-dome structure s when the shape feature SF _i and the section parameters A _k of various types of rods are used indicator, G(s) is the system transfer function,

The Q is a weighting matrix, and this paper refers to the probability distribution function of the resultant force F _k of the conventional load F ₀ and the disturbance load w(t), and the specific calculation formula is as follows:

Mass of Geiger-type cable dome structures

The decoding sub-module is used to decode the individual with the highest fitness to obtain the optimized shape features of the Geiger-type cable-dome structure and cross-sectional parameters of various types of rods.

The following are examples:

The model adopted in this embodiment is as described in the specific implementation manner, wherein:

The original Geiger-type cable dome structure model used is shown in Figure 2 for the roof of the National Fitness and Sports Center in Yiqi, Inner Mongolia, and the single-branch structure is shown in Figure 3.

Original model feature extraction module, including feature extraction sub-module and optimization space extraction sub-module;

The shape features extracted by the feature extraction sub-module include: node elevations S ₁ , S ₂ at the top of the strut, heights H ₁ , H ₂ of the strut, and radius R ₁ , R ₂ of the ring cable. The cross-sectional area of the part; the eigenvalues and the optimized features extracted by the optimization space extraction sub-module are shown in the following table;

Table 1 The eigenvalues and optimization space of the original Geiger-type cable dome structure

In the passage module, the coding method used by the coding sub-module is binary coding, and the initial population size is 40; the threshold of the number of passages in the iterative sub-module is 100; the crossover adopts the single-point crossover method with a crossover probability of 0.8, and the mutation adopts a binary code with a mutation probability of 0.2. Variation method.

There are two schemes for the fitness of the screening module: scheme 1. Only the structural robustness dimension is included, and the fitness is the inverse of the structural robustness. The replication adopts the roulette selection strategy to ensure that the probability of each individual being selected is the same as that of the selected individual. The fitness is proportional to the size of the fitness; the second scheme includes the structural robustness latitude and the quality dimension of the _Geiger -type cable dome structure, and the mass of the Geiger-type cable-dome structure does not exceed the original Geiger-type cable dome structure. Roulette selection strategy to ensure that the probability of each individual being selected is proportional to its fitness.

方案二的筛选模型写作：

Screening model writing of scheme 1:

Writing of the screening model of the second scheme:

IR is the structural robustness index of the Geiger-type cable dome structure s when the shape feature SF _i and the cross-sectional parameters _Ak of various _members are used, which can be obtained approximately by finite element analysis. The specific steps are as follows. The robustness index:

Among them, w(t) is the input interference vector, which is defined in the present invention as obeying the normal distribution N(0, σ ² ), and dividing the value range (-3σ, +3σ) of w(t) into m finite elements ; I _Rk is the structural robustness index of the kth finite element interval, Q(k) is the probability distribution function of the load resultant force F _k in the kth interval, and is used as the weight coefficient of the structural robustness of this interval, k=1, 2, 3, …, m/2.

The calculation method of the structural robustness index I _Rk of the kth finite element interval is as follows:

where n is the total number of free nodes of the structure, i=1, 2, 3, ..., n, u _xi , u _yi , and u _zi are the three directions of the i-th node along the x, y, and z directions of the structure under the action of the conventional load F ₀ , respectively. u′ _kxi , u′ _jyu , and u′ _kzi are the displacement components of the i-th node along the three directions of x, y, and z under the action of the load resultant force F _k in the k-th interval of the structure; α(k) is the The ratio of the disturbance load w _k (t) to the conventional load F ₀ in the k interval. w(t) is defined in the interval (-3var, 3var) (variation coefficient var=0.005), and it can be considered that w(t) is basically inevitable. Then the ratio α(k) of the disturbance load w _k (t) to the conventional load F ₀ in the kth interval is:

The probability distribution function Q(k) of the load resultant force F _k in the kth interval, the specific calculation formula is as follows:

I _Rk contains the robust value under the action of the resultant force F _k of two loads including positive and negative disturbance loads respectively in the k-th interval. Combining the robust values of each interval, the robust value of the structure in all normal distribution intervals can be finally obtained:

The displacement components u _xi , u _yi , u _zi of the i-th node along the three directions of x, y and z under the action of the conventional load F ₀ , and the displacement of the i-th node along the three directions of x, y and z under the action of the resultant force F _k The components u′ _kxi , u′ _kyi and u′ _kzi can be calculated and read directly by the finite element software ANSYS. The mass structure M of the Geiger-type cable dome structure is obtained by Ansys calculation, and the single mass M ₀ =2138.96kg of the initial structural model, and the specific steps are as follows;

Among them, A _i , Li and ρ _i are the cross-sectional area, length and structural density of the _i -th type of rods in the cable-rod tension structure to be optimized, respectively; b is the total number of rods, i=1, 2, 3, ,b, is the structural symmetry number.

The optimization results of scheme 1 are shown in Table 2:

Table 2 One-dimensional optimization system with structural robustness index as fitness

From the results in Table 3, it can be seen that when only one set of shape features and cross-sectional area features are selected, the optimization effect of selecting strut heights H ₁ and H ₂ is significantly better than the other two groups, the optimization rate reaches 36.06%, and the loop radius R The combination of ₁ , R ₂ and strut heights H ₁ , H ₂ shows a good optimization effect. At the same time, from the results of the optimization rate increment, the cross-sectional area feature can effectively ensure the optimization effect of the optimization robustness, and the optimization rate shows a certain degree of increase. It is especially worth noting that when the shape feature optimization effect is not good Yes, the optimized incremental effect of the cross-sectional area feature is more pronounced.

The optimization results of scheme 2 are shown in Table 3:

Table 3 Two-dimensional optimization system with structural robustness and quality of Geiger-type cable dome as fitness

From the results in Table 3, it can be seen that when only one set of shape features and cross-sectional area features are selected, the optimization effect of selecting strut heights H ₁ and H ₂ is significantly better than the other two groups, and the optimization rate reaches 27.73%, while the second most important The shape features are the node elevations S ₁ and S ₂ at the top of the struts. Whether it is the optimization rate of a group of shape features and cross-sectional area features, or when two sets of shape features and cross-sectional area features are used as optimization variables, they are all second only to The optimization effect of the strut heights H ₁ and H ₂ ; while the optimization rate of the loop radii R ₁ and R ₂ contributes the least. At the same time, from the results of the optimization rate increment, the cross-sectional area feature can effectively ensure the optimization effect of the optimization robustness.

The robust optimization system of the Geiger-type cable dome structure provided by the invention is sensitive to the selection of optimization variables and fitness. Generally speaking, the cross-sectional area can ensure the effectiveness of the optimization system, and the appropriate shape feature selection can effectively enhance the optimization effect.

Those skilled in the art can easily understand that the above are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements and improvements made within the spirit and principles of the present invention, etc., All should be included within the protection scope of the present invention.

Claims (10)

1. A Geiger-type cable dome structure robustness optimization system is characterized by comprising an original model feature extraction module, a passage module and a structure robustness screening module;

the original model feature extraction module comprises a feature extraction submodule and an optimization space extraction submodule, wherein the feature extraction submodule is used for extracting optimization variables including shape features and section parameters of various rod pieces from an original Geiger-type cable dome structure, and the optimization space extraction submodule is used for determining optimization spaces of the shape features and the section parameters of the various rod pieces;

the passage module optimizes an initial population of a space coding genetic algorithm according to the shape characteristics of the original Geiger-type cable dome structure extracted by the original model characteristic extraction module and the section parameters of various rod pieces, and continuously passages are carried out according to the screening result of the structure robustness screening module until the passage times reach a preset passage time threshold;

the screening module is used for calculating the fitness of each individual in the population generated by the passage module, eliminating the individuals subjected to 'physical competition selection' according to the fitness, selecting the individuals in the population to enter a next generation population according to the principle that the higher the fitness is, the higher the probability of entering selection is, eliminating other individuals, returning the retained individuals to the passage module, and decoding the individuals with the highest fitness to obtain the shape characteristics of the optimized Geiger-type cable dome structure and the section parameters of various rod pieces when the passage frequency reaches a preset passage frequency threshold;

the fitness comprises a structural robustness dimension, the structural robustness is evaluated by a structural robustness index, the better the structural robustness is, and the smaller the structural robustness index is; when the fitness includes a structural robustness dimension, the screening model is recorded as:

the fitness is the inverse of the structural robustness.

2. The Geiger-type cable dome structure robustness optimization system of claim 1, wherein the shape features extracted by the feature extraction sub-module comprise: node coordinate characteristics of the cable dome structure model specifically include: the node elevation at the top of the stay bar, the height of the stay bar and/or the radius of the looped cable; the cross-sectional parameters of the various rod pieces extracted by the characteristic extraction module are the cross-sectional areas of the various rod pieces.

3. The Geiger-type cable dome structure robustness optimization system of claim 2, wherein the optimization variables are the following: the elevation of the top node of the stay bar, the height of the stay bar, the radius of a ring cable and the sectional area of various rod pieces.

4. The Geiger-type cable dome structure robustness optimization system of claim 1, wherein the optimization space extraction submodule determines optimization spaces for shape characteristics and cross-sectional parameters of various types of rod pieces, such that the stresses of the various types of rod pieces in the optimization spaces do not exceed the material yield strengths thereof.

5. The Geiger-type cable dome structure robustness optimization system of claim 4, wherein the stress of each type of rod does not exceed its material yield strength by the lower limit, and the calculation method of the stress of each type of rod is as follows:

firstly, constructing a balance matrix A based on a cable dome structure geometric topological relation; solving a left singular orthogonal matrix and a right singular orthogonal matrix of the balance matrix A by using a matrix theory, and further solving an independent mechanism displacement mode and an independent self-stress mode of the structure; then determining an independent self-stress modal combination coefficient according to an optimization design target so as to determine a structural initial prestress design value; and finally, calculating the internal force of each rod piece in the using process according to the load working condition in the actual engineering, and dividing the internal force by the section area of each rod piece to obtain the stress of each rod piece.

6. The Geiger-type cable dome structure robustness optimization system of claim 1, wherein the passage module comprises an encoding sub-module, and an iteration sub-module;

the encoding submodule is used for encoding the shape characteristics of the original Geiger-type cable dome structure extracted by the original model characteristic extraction module and the section parameters of various rod pieces into an individual and transmitting the individual to the passage submodule;

the passage submodule is used for generating an initial population according to the individuals obtained by the coding submodule or generating a next generation population according to the individuals with higher fitness obtained by the screening module; specifically, the generating of the next generation population is to copy, cross and vary the initial population or the individuals with higher fitness obtained by the screening module to obtain the next generation population.

7. The Geiger-type cable dome structure robustness optimization system of claim 6, wherein crossing the initial population or the individuals with higher fitness obtained by the screening module specifically comprises: carrying out coding cross simulation genetic law on the copied individuals to generate new individuals and entering a next generation population; the cross probability is preferably 0.6-0.8.

8. The Geiger-type cable dome structure robustness optimization system of claim 6, wherein the variation of the initial population or the individuals with higher fitness obtained by the screening module is specifically: and randomly replacing the codes of the copied individuals or replacing new individuals with the codes of the copied individuals according to the variation probability, wherein the variation probability is preferably 0.1-0.3.

9. The Geiger-type cable dome structure robustness optimization system of claim 1, wherein said screening module comprises a fitness computation sub-module and a decoding sub-module; the fitness calculation module is used for calculating the fitness of each individual in the population; and the decoding submodule is used for decoding the individual with the highest fitness to obtain the optimized shape characteristics of the Geiger-type cable dome structure and the section parameters of various rod pieces.

10. The Geiger-type cable dome structure robustness optimization system of claim 9, wherein said fitness further comprises a mass dimension of the Geiger-type cable dome structure;

the fitness comprises a structural robustness dimension and a quality dimension of a Geiger type cable dome structure, and a screening model is recorded as:

the adaptability is the reciprocal of the structural robustness index, the adaptability threshold is that the structural robustness exceeds the structural robustness threshold and the mass M of the Geiger-type cable dome structure does not exceed the mass M of the original Geiger-type cable dome structure₀。

Wherein, SF_iIs a shape feature, A_kIs a section parameter of each rod member, I_RTo adopt shape characteristics SF_iAnd section parameters A of various rod pieces_kThe structural robustness index of a Geiger-type cable dome structure s, G(s), is the system transfer function,

q is a weighting matrix and refers to a conventional load F₀And disturbance load w (t) resultant force F_kThe specific calculation formula of the probability distribution function is as follows:

mass of Geiger-type cable dome structure

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