CN111639374A - Geiger type cable dome structure robustness optimization system - Google Patents
Geiger type cable dome structure robustness optimization system Download PDFInfo
- Publication number
- CN111639374A CN111639374A CN202010437570.2A CN202010437570A CN111639374A CN 111639374 A CN111639374 A CN 111639374A CN 202010437570 A CN202010437570 A CN 202010437570A CN 111639374 A CN111639374 A CN 111639374A
- Authority
- CN
- China
- Prior art keywords
- geiger
- dome structure
- type cable
- robustness
- cable dome
- 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
- 238000005457 optimization Methods 0.000 title claims abstract description 95
- 238000000605 extraction Methods 0.000 claims abstract description 43
- 238000012216 screening Methods 0.000 claims abstract description 39
- 239000000463 material Substances 0.000 claims abstract description 8
- 239000011159 matrix material Substances 0.000 claims description 18
- 238000004364 calculation method Methods 0.000 claims description 14
- 238000013461 design Methods 0.000 claims description 11
- 238000006073 displacement reaction Methods 0.000 claims description 7
- 230000002068 genetic effect Effects 0.000 claims description 7
- 238000000034 method Methods 0.000 claims description 7
- 238000005315 distribution function Methods 0.000 claims description 5
- 238000004422 calculation algorithm Methods 0.000 claims description 3
- 230000007246 mechanism Effects 0.000 claims description 3
- 230000008569 process Effects 0.000 claims description 3
- 230000000717 retained effect Effects 0.000 claims description 3
- 238000004088 simulation Methods 0.000 claims description 3
- 238000012546 transfer Methods 0.000 claims description 3
- 230000000694 effects Effects 0.000 abstract description 11
- 230000002860 competitive effect Effects 0.000 abstract 1
- 230000009471 action Effects 0.000 description 4
- 230000006872 improvement Effects 0.000 description 3
- 230000035772 mutation Effects 0.000 description 3
- 238000010276 construction Methods 0.000 description 2
- 230000007547 defect Effects 0.000 description 2
- 230000006870 function Effects 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 239000004566 building material Substances 0.000 description 1
- 230000008859 change Effects 0.000 description 1
- 230000019771 cognition Effects 0.000 description 1
- 238000011161 development Methods 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 239000000284 extract Substances 0.000 description 1
- 238000013178 mathematical model Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000000877 morphologic effect Effects 0.000 description 1
- 238000011160 research Methods 0.000 description 1
Images
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
-
- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
- E04B7/00—Roofs; Roof construction with regard to insulation
- E04B7/14—Suspended roofs
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/27—Design optimisation, verification or simulation using machine learning, e.g. artificial intelligence, neural networks, support vector machines [SVM] or training a model
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N3/00—Computing arrangements based on biological models
- G06N3/12—Computing arrangements based on biological models using genetic models
- G06N3/126—Evolutionary algorithms, e.g. genetic algorithms or genetic programming
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q50/00—Information and communication technology [ICT] specially adapted for implementation of business processes of specific business sectors, e.g. utilities or tourism
- G06Q50/08—Construction
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Geometry (AREA)
- Evolutionary Computation (AREA)
- Computer Hardware Design (AREA)
- Health & Medical Sciences (AREA)
- General Engineering & Computer Science (AREA)
- Life Sciences & Earth Sciences (AREA)
- Architecture (AREA)
- Biophysics (AREA)
- Bioinformatics & Computational Biology (AREA)
- Artificial Intelligence (AREA)
- Structural Engineering (AREA)
- Bioinformatics & Cheminformatics (AREA)
- Civil Engineering (AREA)
- Business, Economics & Management (AREA)
- Evolutionary Biology (AREA)
- Software Systems (AREA)
- General Health & Medical Sciences (AREA)
- Computing Systems (AREA)
- Medical Informatics (AREA)
- Computational Linguistics (AREA)
- Data Mining & Analysis (AREA)
- Economics (AREA)
- Molecular Biology (AREA)
- Genetics & Genomics (AREA)
- General Business, Economics & Management (AREA)
- Mathematical Physics (AREA)
- Physiology (AREA)
- Computer Vision & Pattern Recognition (AREA)
- Biomedical Technology (AREA)
- Marketing (AREA)
- Primary Health Care (AREA)
- Tourism & Hospitality (AREA)
- Electromagnetism (AREA)
- Strategic Management (AREA)
- Human Resources & Organizations (AREA)
- Computational Mathematics (AREA)
Abstract
The invention discloses a Geiger-type cable dome structure robustness optimization system which comprises an original model feature extraction module, a passage module and a structure robustness screening module, wherein the original model feature extraction module is used for extracting the original model feature; the original model feature extraction module comprises a feature extraction submodule and an optimized space extraction submodule; the screening module is used for calculating the fitness of each individual in the population generated by the passage module, and eliminating the individual of 'competitive selection of the material' according to the fitness, wherein the fitness comprises a structural robustness dimension, and the structural robustness is evaluated by adopting a structural robustness index, so that the structural robustness is better and the structural robustness index is smaller. The Geiger-type cable dome structure robustness optimization system adopted by the invention has universal structure robustness optimization capability for the Geiger-type cable dome structure due to the combination of the shape characteristic and the section area characteristic, and shows optimization effects of different degrees for an original model.
Description
Technical Field
The invention belongs to the field of building design, and particularly relates to a Geiger-type cable dome structure robustness optimization system.
Background
Cable dome structures have been developed so far, and various morphological systems such as Geiger-type, Levy-type, Kiewitt-type and bird nest-type cable domes have been proposed according to the cable arrangement. The Geiger type cable dome structure is also called a rib ring type, and is a simplest and most common form in the cable dome structure by stretching a lower oblique cable ring by ring from outside to inside, and ridge cables between spans are not connected, so that the overall performance is weaker, and the out-of-plane stability of a single truss is also weaker.
In current structural design and construction, as for the cognition and judgment of the self-attribute of the structure and the self-action of the structure, the influence caused by the uncertainty of the self-attribute and the inherent action is usually not paid due attention. Meanwhile, the precise mathematical model used in the research of the structural characteristics is often given a more ideal state from an ideal point of view, and the structure is often far away from the state in the actual situation. The safety problem of the structure is an unstable factor, and some defects are usually started to emerge after the structure is used for a period of time. In addition, nowadays, with the progress and development of society, the form of the structure also tends to change continuously: building materials are lighter and lighter, building spans are larger and larger, building structures are more and more complex, and building efficiency is higher and higher. Therefore, when all uncertainties and changes require constant lifting, the imperfections and instability of the structure itself are amplified, and it is possible that after experiencing a series of disturbances, which are natural or even man-made, the structure will be subject to overall damage due to partial component failure, or to a severe consequence of overall structure collapse due to partial design parameter deviations.
The collapse of the structures is caused by the reasons that the structures are subjected to exceeding load, the safety coefficient of accidental load is insufficient, construction geometric deviation and the like, and finally, the butterfly effect causes structural failure and further economic loss and casualties. However, it is not economical to significantly increase the design criteria of a structure simply by accidental interference, accidental overload and sudden loading, it is not practical to require that the structure generally remain intact in the event of an accident, and it is not possible to require a thorough understanding of the environment, materials, loads, etc. that the building structure will be exposed to in the future. Therefore, the improvement of the structural robustness is a proper way, namely, the structure is insensitive to interference through reasonable topology and rigidity design, so that the capability of resisting asymmetrical damage and avoiding overall collapse of the structure is improved.
Disclosure of Invention
Aiming at the defects or the improvement requirements of the prior art, the invention provides a Geiger-type cable dome structure robustness optimization system, which aims to perform overall optimization on the shape characteristics and the cross-sectional area characteristics of a Geiger-type cable dome structure, and perform genetic optimization by matching with adaptability containing different dimensions and related to structure robustness, so that a Geiger-type cable dome structure model with more excellent structure robustness is obtained, and the technical problems that the Geiger-type cable dome structure is difficult to have poor robustness and damage and collapse occur in other time in the prior art are solved.
In order to achieve the above object, according to an aspect of the present invention, there is provided a Geiger-type cable dome structure robustness optimization system, including 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.
Preferably, in the Geiger-type cable dome structure robustness optimization system, the shape features extracted by the feature extraction sub-module include: 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.
Preferably, the Geiger-type cable dome structure robustness optimization system has the following optimization variables: 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.
Preferably, in the robustness optimization system for the Geiger-type cable dome structure, the optimization space extracts the sub-module, and the optimization space of the shape characteristics and the section parameters of various rod pieces is determined, so that the stress of the various rod pieces in the optimization space does not exceed the yield strength of the materials of the rod pieces.
Preferably, in the Geiger-type cable dome structure robustness optimization system, the stress of each rod piece does not exceed the yield strength of the material as a lower limit, and the calculation method of the stress of each rod piece 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.
Preferably, the Geiger-type cable dome structure robustness optimization system, wherein the generation module thereof comprises an encoding submodule and an iteration submodule;
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.
Preferably, the Geiger-type cable dome structure robustness optimization system specifically includes, for crossing an initial population or an individual with a high fitness obtained by the screening module: 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.
Preferably, the Geiger-type cable dome structure robustness optimization system, which performs variation on the initial population or the individuals with higher fitness obtained by the screening module, specifically includes: 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.
Preferably, in the Geiger-type cable dome structure robustness optimization system, the screening module includes a fitness calculating submodule and a decoding submodule; 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.
Preferably, the Geiger-type cable dome structure robustness optimization system, the fitness thereof further includes 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, SFiIs a shape feature, AkIs a section parameter of each rod member, IRTo adopt shape characteristics SFiAnd section parameters A of various rod pieceskOf the hourThe structural robustness indicator of Geiger-type cable dome structures s, G(s) is the system transfer function,
)dt)1/2q is a weighting matrix, referred to herein as the conventional load F0And disturbance load w (t) resultant force FkThe specific calculation formula of the probability distribution function is as follows:
mass of Geiger-type cable dome structure
In general, compared with the prior art, the above technical solution contemplated by the present invention can achieve the following beneficial effects:
the Geiger-type cable dome structure robustness optimization system adopted by the invention has universal structure robustness optimization capability for the Geiger-type cable dome structure due to the combination of the shape characteristic and the section area characteristic, and shows optimization effects of different degrees for an original model.
According to the optimal scheme, the node elevation at the top of the supporting rod, the height of the supporting rod, the radius of the circular cable and the section areas of various rod pieces are used as optimization variables, and multi-objective optimization including the robustness latitude and the quality latitude of the Geiger type cable dome structure is adopted, so that the calculation amount is reduced and the structure quality is ensured not to be increased while the robustness optimization is realized.
Drawings
FIG. 1 is a structural diagram of a Geiger-type cable dome structure robustness optimization system provided by the invention;
FIG. 2 is a schematic view of an original Geiger-type cable dome structure provided by an embodiment of the present invention;
FIG. 3 is a schematic view of a single-truss structure of an original Geiger-type cable dome provided by an embodiment of the present invention
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail with reference to the following embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. In addition, the technical features involved in the embodiments of the present invention described below may 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 invention comprises an original model feature extraction module, a passage module and a structure robustness screening module, wherein the original model feature extraction module, the passage module and the structure robustness screening module are respectively connected with a power supply module and a power supply 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 shape features extracted by the feature extraction submodule 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;
the optimization variables are preferably as follows: the node elevation at the top of the stay bar, the height of the stay bar, the radius of a ring cable and the section area of various rod pieces;
the optimization space extraction submodule determines the optimization space of the shape characteristics and the section parameters of various rod pieces, so that the stress of various rod pieces in the optimization space does not exceed the yield strength of the materials of the rod pieces; specifically, the method comprises the following steps:
the stress of each rod piece does not exceed the yield strength of the material as the lower limit, and the stress calculation method of each rod piece 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.
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 passage module comprises an encoding submodule and an iteration submodule;
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.
The specific steps of crossing the initial population or the individuals with higher fitness obtained by the screening module are as follows: 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.
The variation of the initial population or the individuals with higher fitness obtained by the screening module is specifically as follows: 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.
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 the 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 value.
The screening module comprises a fitness calculation submodule and a decoding submodule;
the fitness calculation module is used for calculating the fitness of each individual in the population; the fitness comprises a structural robustness dimension, preferably a mass dimension of a Geiger-type cable dome structure. The structural robustness is evaluated by adopting a structural robustness index, and the structural robustness is better and smaller.
When the fitness includes a structural robustness dimension, the screening model is recorded as:
the fitness is the inverse of the structural robustness.
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, SFiIs a shape feature, AkIs a section parameter of each rod member, IRTo adopt shape characteristics SFiAnd section parameters A of various rod pieceskThe structural robustness index of a Geiger-type cable dome structure s, G(s), is the system transfer function,
q is a weighting matrix, referred to herein as the conventional load F0And disturbance load w (t) resultant force FkThe specific calculation formula of the probability distribution function is as follows:
mass of Geiger-type cable dome structure
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.
The following are examples:
the model adopted in this embodiment is as described in the detailed description, wherein:
the structural model of the original Geiger-type cable dome structural model aiming at the inner covering Guyi flag national fitness sports center roof is shown in figure 2, and the single-truss structure is shown in figure 3.
The original model feature extraction module comprises a feature extraction submodule and an optimized space extraction submodule;
the shape features extracted by the feature extraction submodule comprise: node elevation S at top of support rod1、S2Height H of the stay bar1、H2Radius of the ring cable R1、R2The section parameters of the various rod pieces are the section areas of the various rod pieces; the characteristic value and the optimization characteristics extracted by the optimization space extraction submodule are shown in the following table;
TABLE 1 eigenvalues and optimization space of original Geiger-type cable dome structure
The passage module adopts a binary coding mode as a coding mode of the coding submodule, and the initial population size is 40; the generation number threshold of the iteration submodule is 100; the cross adopts a single-point cross method with the cross probability of 0.8, and the mutation adopts a binary mutation method with the mutation probability of 0.2.
The fitness of the screening module has two schemes: the first scheme only comprises a structural robustness dimension, the fitness is the reciprocal of the structural robustness, and a roulette selection strategy is adopted in a copying mode to ensure that the probability of each individual being selected is in direct proportion to the fitness of the individual; the second scheme comprises a structure robustness latitude and a mass dimension of the Geiger-type cable dome structure, wherein the mass of the Geiger-type cable dome structure does not exceed the mass M of the original Geiger-type cable dome structure0The duplication employs a roulette selection strategy to ensure that the probability of each individual being selected is proportional to its fitness.
The screening model of scheme one is written as:
the screening model of scheme two is written as:
IRto adopt shape characteristics SFiAnd section parameters A of various rod pieceskThe structural robustness index of the Geiger-type cable dome structure s can be approximately obtained by adopting finite element analysis, and the method comprises the following specific steps:
where w (t) is the input interference vector, defined in the present invention as following a normal distribution N (0, σ)2) Dividing the range area (-3 sigma, +3 sigma) of w (t) into m finite elements; i isRkIs the structural robustness index of the kth finite element interval, and Q (k) is the load of the kth intervalResultant force FkThe probability distribution function of (3) is used as a weighting factor for the structural robustness of the interval, k is 1,2,3, …, m/2.
Structural robustness index I of kth finite element intervalRkThe calculation method is as follows:
wherein n is the total number of structure free nodes, i is 1,2,3, …, n, uxi、uyi、uziRespectively, the structure is under a normal load F0Displacement components of the ith node along the x direction, the y direction and the z direction under the action; u'kxi、u′jyu、u′kziRespectively is the load resultant force F of the structure in the k-th intervalkUnder the action of the displacement components of the ith node along the x, y and z directions, α (k) is the interference load w in the kth intervalk(t) with a conventional load F0The ratio of (a) to (b). w (t) is defined within the interval (-3var, 3var) (coefficient of variation var ═ 0.005), and it can be considered that w (t) occurs substantially without fail. The interference load w in the k-th intervalk(t) with a conventional load F0The ratio α (k) of:
resultant load force F in the k-th intervalkThe specific calculation formula of the probability distribution function q (k) is as follows:
IRkcomprises two load resultant forces F respectively comprising positive and negative interference loads in the kth intervalkRobust value under influence. And finally, combining the robust values of all the intervals to obtain the robust values of the structure in all the normal distribution intervals:
normal load F0Displacement component u of ith node along x, y and z directions under actionxi、uyi、uziAnd a resultant force FkDisplacement component u 'of ith node in x, y and z directions under action'kxi、u′kyi、u′kziCan be calculated and directly read by using finite element software ANSYS. The mass structure single-truss mass M of the Geiger type cable dome structure is obtained by Ansys calculation, and the mass M of the initial structure model single-truss is obtained02138.96kg, and the specific steps are as follows;
wherein A isi、LiAnd ρiRespectively the sectional area, the length and the structural density of the ith rod piece in the cable-pole tension structure to be optimized; b is the total number of the rod pieces, i is 1,2,3, b is the number of the structural symmetrical trusses.
The optimization results using scheme one are shown in table 2:
TABLE 2 one-dimensional optimization system using structural robustness index as fitness
From the results of Table 3, it can be seen that the strut height H is selected when only one set of shape and cross-sectional area characteristics is selected1、H2The optimization effect of the cable is obviously better than that of the other two groups, the optimization rate reaches 36.06 percent, and the radius R of the circular cable is1、R2And strut height H1、H2The combination of (a) shows good optimization. Meanwhile, from the result of the increment of the optimization rate, the optimization robustness optimization effect can be effectively ensured by the sectional area characteristics, the optimization rate shows a certain degree of increment, and particularly, when the optimization effect of the shape characteristics is not good, the optimization increment effect of the sectional area characteristics is more obvious.
The optimization results using scheme two are shown in table 3:
TABLE 3 two-dimensional optimization system with structural robustness and Geiger-type cable dome structure quality as fitness
From the results of Table 3, it can be seen that the strut height H is selected when only one set of shape and cross-sectional area characteristics is selected1、H2The optimization effect of the support rod is obviously better than that of the other two groups, the optimization rate reaches 27.73 percent, and the shape characteristic which is the next important is the node elevation S at the top of the support rod1、S2Whether the optimization rate of one group of shape characteristics and section area characteristics or the optimization variables of two groups of shape characteristics and section area characteristics are adopted, the optimization variables are shown to be next to the strut height H1、H2The optimization effect of (2); and the radius R of the ring cable1、R2The optimization rate of (c) contributes the least. Meanwhile, from the result of the increment of the optimization rate, the section area characteristic can effectively ensure the optimization effect of the optimization robustness.
The Geiger-type cable dome structure robustness optimization system provided by the invention is sensitive to selection of optimization variables and fitness, the cross-sectional area can ensure the effectiveness of the optimization system in general, and the proper shape feature selection can effectively enhance the optimization effect.
It will be understood by those skilled in the art that the foregoing is only a preferred embodiment of the present invention, and is not intended to limit the invention, and that any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the 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, SFiIs a shape feature, AkIs a section parameter of each rod member, IRTo adopt shape characteristics SFiAnd section parameters A of various rod pieceskThe 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 FkThe specific calculation formula of the probability distribution function is as follows:
mass of Geiger-type cable dome structure
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202010437570.2A CN111639374A (en) | 2020-05-21 | 2020-05-21 | Geiger type cable dome structure robustness optimization system |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202010437570.2A CN111639374A (en) | 2020-05-21 | 2020-05-21 | Geiger type cable dome structure robustness optimization system |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN111639374A true CN111639374A (en) | 2020-09-08 |
Family
ID=72331391
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202010437570.2A Pending CN111639374A (en) | 2020-05-21 | 2020-05-21 | Geiger type cable dome structure robustness optimization system |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN111639374A (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115225509A (en) * | 2022-07-07 | 2022-10-21 | 天津大学 | Internet of things topological structure generation method based on neural evolution |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105205266A (en) * | 2015-09-23 | 2015-12-30 | 东南大学 | Method for designing prestressed cable structure initial configuration based on optimization algorithm |
| CN106595663A (en) * | 2016-11-28 | 2017-04-26 | 四川航天系统工程研究所 | Aircraft auto-route planning method with combination of searching and optimization |
| CN109255142A (en) * | 2018-05-16 | 2019-01-22 | 浙江大学 | Tensegrity torus Topology Optimization Method based on niche genetic algorithm |
| CN110147599A (en) * | 2019-05-11 | 2019-08-20 | 温州大学 | A kind of cable-strut tensile structure quality optimization method and system based on genetic algorithm |
| CN110309532A (en) * | 2019-05-11 | 2019-10-08 | 温州大学 | A kind of cable-strut tensile structure Section Optimization and system based on robustness |
-
2020
- 2020-05-21 CN CN202010437570.2A patent/CN111639374A/en active Pending
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105205266A (en) * | 2015-09-23 | 2015-12-30 | 东南大学 | Method for designing prestressed cable structure initial configuration based on optimization algorithm |
| CN106595663A (en) * | 2016-11-28 | 2017-04-26 | 四川航天系统工程研究所 | Aircraft auto-route planning method with combination of searching and optimization |
| CN109255142A (en) * | 2018-05-16 | 2019-01-22 | 浙江大学 | Tensegrity torus Topology Optimization Method based on niche genetic algorithm |
| CN110147599A (en) * | 2019-05-11 | 2019-08-20 | 温州大学 | A kind of cable-strut tensile structure quality optimization method and system based on genetic algorithm |
| CN110309532A (en) * | 2019-05-11 | 2019-10-08 | 温州大学 | A kind of cable-strut tensile structure Section Optimization and system based on robustness |
Non-Patent Citations (6)
| Title |
|---|
| 别克戴维森: "《欧标钢结构设计手册》", 31 December 2014 * |
| 施岚青 主编: "《2018一级注册结构工程师专业考试复习教程 下》", 31 December 2018 * |
| 梁昊庆: "肋环人字型索穹顶结构的理论分析与试验研究", 《中国博士学位论文全文数据库 工程科技Ⅱ辑》 * |
| 梁笑天 等: "索穹顶结构多目标形状优化设计", 《华中科技大学学报 (自然科学版)》 * |
| 谈若明 等: "空间网格结构的多参数优化设计", 《空间结构》 * |
| 陈联盟 等: "索穹顶结构优化设计", 《科技通报》 * |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115225509A (en) * | 2022-07-07 | 2022-10-21 | 天津大学 | Internet of things topological structure generation method based on neural evolution |
| CN115225509B (en) * | 2022-07-07 | 2023-09-22 | 天津大学 | Internet of things topological structure generation method based on neural evolution |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN110147599B (en) | Genetic algorithm-based cable-pole tension structure quality optimization method and system | |
| Dede et al. | Weight minimization of trusses with genetic algorithm | |
| Javidi et al. | Enhanced crow search algorithm for optimum design of structures | |
| CN109255142B (en) | Ring-shaped tension overall structure topology optimization method based on niche genetic algorithm | |
| CN110309532B (en) | Robustness-based cable-strut tension structure section optimization method and system | |
| Khoshahval et al. | Performance evaluation of PSO and GA in PWR core loading pattern optimization | |
| CN111639374A (en) | Geiger type cable dome structure robustness optimization system | |
| Kaveh et al. | Topology and geometry optimization of different types of domes using ECBO | |
| Afzali et al. | Steel frame optimal design using MHBMO algorithm | |
| CN112686404B (en) | Power distribution network fault first-aid repair-based collaborative optimization method | |
| Makiabadi et al. | An enhanced symbiotic organism search algorithm (ESOS) for the sizing design of pin connected structures | |
| CN111639376A (en) | Cable dome structure robustness improving method based on quality constraint | |
| CN111639375A (en) | Method for optimizing shape of lightweight cable dome structure | |
| CN108734349A (en) | Distributed generation resource addressing constant volume optimization method based on improved adaptive GA-IAGA and system | |
| Kaveh et al. | Dynamic selective pressure using hybrid evolutionary and ant system strategies for structural optimization | |
| CN111639377A (en) | Importance analysis-based method and system for optimizing cross section of rod piece of cable-pole tension structure | |
| CN115169754B (en) | Energy scheduling method and device, electronic equipment and storage medium | |
| CN111639373A (en) | Multi-factor cable dome structure quality optimization method with structure robustness constraint | |
| CN109543226A (en) | A kind of mixing intelligent optimizing method for space structure | |
| Mansour et al. | Dynamic economic load dispatch of thermal power system using genetic algorithm | |
| CN113051799A (en) | Power transmission tower structure initial geometric defect simulation method based on linear buckling analysis | |
| Salama et al. | Short term optimal generation scheduling of fixed head hydrothermal system using genetic algorithm and constriction factor based particle swarm optimization technique | |
| CN107508279B (en) | Stability simulation method for power network | |
| Saka et al. | Design optimization of moment resisting steel frames using a cuckoo search algorithm | |
| Lemonge et al. | A genetic algorithm for topology optimization of dome structures |
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 |