CN109543232A - Double flat arm pole girdle ring drag-line optimization method and device based on glowworm swarm algorithm - Google Patents
Double flat arm pole girdle ring drag-line optimization method and device based on glowworm swarm algorithm Download PDFInfo
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
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Abstract
The invention discloses a kind of double flat arm pole girdle ring drag-line optimization method and system based on glowworm swarm algorithm, wherein, method includes the following steps: setting, girdle ring drag-line sectional area is configuration variable as size variable, every layer of drag-line laying height and every layer of drag-line laying form is topological variable, and determines that each variable presets value range；With the default maximum permissible stress of double flat arm pole rod piece and drag-line, the default maximum license displacement and default minimum license buckling factor constraint of pole rod piece；Synchronous fluorimetry model is established, and using the quality of girdle ring drag-line as objective function；Using improved glowworm swarm algorithm to size, shape and topological Synchronous fluorimetry, simultaneously Computational Mechanics performance is analyzed, and handles constraint condition, iteration more new search globally optimal solution using penalty function.The optimization method clear logic, concise flow is easy to operate, and the parameter for needing to adjust is few, and computational efficiency is high, and effect of optimization is significant.
Description
Technical field
The present invention relates to Synchronous fluorimetry technical field, in particular to a kind of double flat arm pole girdle ring based on glowworm swarm algorithm
Drag-line optimization method and device.
Background technique
Double flat arm pole is as a kind of extraordinary lifting equipment, advantage of lower cost and easy to assembly, effect big with hoist
The advantages of rate height, strong operability, the heavier Large Transmission Tower lifting construction of larger and component is opened suitable for highly higher, root.
As the height of power transmission tower is gradually increased, the height of pole is also promoted therewith, and pole drag-line is as restraint device, to the peace of pole
It constructs entirely most important.Double flat arm pole using frequently, reasonable girdle ring Cable can not only improve pole intensity and
Stability, while difficulty of construction and cost can be reduced.At this stage, the design of girdle ring drag-line is mostly according to engineering experience, rare needle
To the optimization design of girdle ring drag-line.Therefore, size, shape and topological Synchronous fluorimetry are carried out to drag-line, improve pole safety and
Economy is urgent problem.
Conventional topologies optimization algorithm regard the elasticity modulus of structural unit or sectional area etc. as design variable, problem dimension mistake
Height, convergence rate is slow, and optimization efficiency is low, and it is larger to solve Practical Project problem difficulty, and is difficult to solve size, shape and topology same
Walk optimization problem.
Although glowworm swarm algorithm has stronger optimizing ability, its optimization process is still by too early convergent problem.
It is necessary to be studied for glowworm swarm algorithm premature problem, by the improvement to algorithm, improves algorithm optimization and calculate energy
Power and efficiency.
Summary of the invention
The present invention is directed to solve at least some of the technical problems in related technologies.
For this purpose, an object of the present invention is to provide a kind of, the double flat arm pole girdle ring drag-line based on glowworm swarm algorithm is excellent
Change method, this method clear logic, concise flow is easy to operate, and the parameter for needing to adjust is few, and computational efficiency is high, and effect of optimization is aobvious
It writes.
It is another object of the present invention to propose a kind of double flat arm pole girdle ring drag-line optimization based on glowworm swarm algorithm
System.
In order to achieve the above objectives, it is excellent to propose the double flat arm pole girdle ring drag-line based on glowworm swarm algorithm for one aspect of the present invention
Change method, comprising the following steps: set girdle ring drag-line sectional area as size variable, setting every layer of drag-line and laying height is that shape becomes
Amount sets every layer of drag-line and lays form as topological variable, and determines that each variable presets value range；Constraint condition is defined, with double
Flat arm pole rod piece is displaced and presets with the default maximum permissible stress of the drag-line, the default maximum license of the pole rod piece
Minimum license buckling factor constraint；The size, the shape for establishing double flat arm pole girdle ring drag-line are synchronous with the topology
Optimized model, and be the objective function of the Synchronous fluorimetry model with the quality of the girdle ring drag-line；And use improved firefly
Fireworm algorithm carries out the size, the shape and the topological Synchronous fluorimetry, analysis to the double flat arm pole girdle ring drag-line
And the mechanical property of the double flat arm pole rod piece and the girdle ring drag-line is calculated, and handle the constraint item using penalty function
Part is updated by iteration, searches for globally optimal solution.
The double flat arm pole girdle ring drag-line optimization method based on glowworm swarm algorithm of the embodiment of the present invention, passes through application enhancements
Glowworm swarm algorithm, size, shape and topological Synchronous fluorimetry are carried out to drag-line so that pole safety and economy improve, and
It is simple to operation, need that adjusting parameter is few, convergence is fast, the double flat arm pole drag-line that can be solved under multivariable and multi-state is excellent
Change design.
In addition, the double flat arm pole girdle ring drag-line optimization method according to the above embodiment of the present invention based on glowworm swarm algorithm
There can also be following additional technical characteristic:
Further, in one embodiment of the invention, the equal horizontal layout of the double flat arm pole girdle ring drag-line, one end
Power transmission tower is connected, the other end connects the double flat arm pole rod piece, and guy cable length increases with height and reduced.
Further, in one embodiment of the invention, the constraint condition is as follows:
s.t. g1=σmax-σall≤0
g3=dmax-dall≤0
g4=λall-λ≤0
Wherein, gv(v=1,2,3,4) indicates constraint function, σmaxIndicate the maximum stress of double flat arm pole rod piece, σallTable
Show the maximum permissible stress of double flat arm pole rod piece,Indicate the maximum stress of drag-line,Indicate that the maximum license of drag-line is answered
Power, dmaxIndicate the maximum displacement of double flat arm pole rod piece, dallIndicate the maximum license displacement of double flat arm pole rod piece, λ is indicated
The buckling factor of the double flat arm pole rod piece, λallIndicate the minimum license buckling factor of double flat arm pole rod piece.
Further, in one embodiment of the invention, in the improved glowworm swarm algorithm, iterative formula is as follows:
xi(t+1)=xi(t)+β(xj(t)-xi(t))+α(t)εi
rij=| | xi-xj||
Wherein, xiAnd xjFor spatial position locating for firefly i and firefly j；β is firefly attraction size；α is step
The long factor, with the number of iterations t adaptive change；εiTo be evenly distributed on the random number vector in the section [- 0.5,0.5]；β0With
βminThe respectively upper lower limit value of β；γ is the absorption coefficient of light, for most of problem, be can use γ ∈ [0.01,100]；rijFor firefly
Descartes's distance of fireworm i and firefly j.
Further, in one embodiment of the invention, the penalty function method formula is as follows:
Wherein, F (x) indicates that penalized target function value, f (x) indicate objective function, gvIndicate v-th of inequality about
Beam, φvIndicate the penalty coefficient of v-th of inequality constraints.
In order to achieve the above objectives, another aspect of the present invention proposes a kind of double flat arm pole girdle ring based on glowworm swarm algorithm
Drag-line optimization system, comprising: setting module sets every layer of drag-line and lay for setting girdle ring drag-line sectional area as size variable
Height is configuration variable, sets every layer of drag-line and lays form as topological variable, and determines that each variable presets value range；Define mould
Block, for defining constraint condition, with the default maximum permissible stress, the pole rod piece of double flat arm pole rod piece and the drag-line
Default maximum license displacement and default minimum license buckling factor constraint；Module is established, for establishing double flat arm pole girdle ring
The size, the shape and the topological Synchronous fluorimetry model of drag-line, and be described same with the quality of the girdle ring drag-line
Walk the objective function of Optimized model；Comprehensive search module, for using improved glowworm swarm algorithm to the double flat arm pole waist
Ring drag-line carries out the size, the shape and the topological Synchronous fluorimetry, analyze and calculate the double flat arm pole rod piece and
The mechanical property of the girdle ring drag-line, and the constraint condition is handled using penalty function, it is updated by iteration, searches for global optimum
Solution.
The double flat arm pole girdle ring drag-line optimization system based on glowworm swarm algorithm of the embodiment of the present invention, passes through application enhancements
Glowworm swarm algorithm, size, shape and topological Synchronous fluorimetry are carried out to drag-line so that pole safety and economy improve, and
It is simple to operation, need that adjusting parameter is few, convergence is fast, the double flat arm pole drag-line that can be solved under multivariable and multi-state is excellent
Change design.
In addition, the double flat arm pole girdle ring drag-line optimization system according to the above embodiment of the present invention based on glowworm swarm algorithm
There can also be following additional technical characteristic:
Further, in one embodiment of the invention, the equal horizontal layout of the double flat arm pole girdle ring drag-line, one end
Power transmission tower is connected, the other end connects the double flat arm pole rod piece, and guy cable length increases with height and reduced.
Further, in one embodiment of the invention, the constraint condition is as follows:
s.t. g1=σmax-σall≤0
g3=dmax-dall≤0
g4=λall-λ≤0
Wherein, gv(v=1,2,3,4) indicates constraint function, σmaxIndicate the maximum stress of double flat arm pole rod piece, σallTable
Show the maximum permissible stress of double flat arm pole rod piece,Indicate the maximum stress of drag-line,Indicate that the maximum license of drag-line is answered
Power, dmaxIndicate the maximum displacement of double flat arm pole rod piece, dallIndicate the maximum license displacement of double flat arm pole rod piece, λ is indicated
The buckling factor of the double flat arm pole rod piece, λallIndicate the minimum license buckling factor of double flat arm pole rod piece.
Further, in one embodiment of the invention, in the improved glowworm swarm algorithm, iterative formula is as follows:
xi(t+1)=xi(t)+β(xj(t)-xi(t))+α(t)εi
rij=| | xi-xj||
Wherein, xiAnd xjFor spatial position locating for firefly i and firefly j；β is firefly attraction size；α is step
The long factor, with the number of iterations t adaptive change；εiTo be evenly distributed on the random number vector in the section [- 0.5,0.5]；β0With
βminThe respectively upper lower limit value of β；γ is the absorption coefficient of light, for most of problem, be can use γ ∈ [0.01,100]；rijFor firefly
Descartes's distance of fireworm i and firefly j.
Further, in one embodiment of the invention, the penalty function method formula is as follows:
Wherein, F (x) indicates that penalized target function value, f (x) indicate objective function, gvIndicate v-th of inequality about
Beam, φvIndicate the penalty coefficient of v-th of inequality constraints.
The additional aspect of the present invention and advantage will be set forth in part in the description, and will partially become from the following description
Obviously, or practice through the invention is recognized.
Detailed description of the invention
Above-mentioned and/or additional aspect and advantage of the invention will become from the following description of the accompanying drawings of embodiments
Obviously and it is readily appreciated that, in which:
Fig. 1 is the double flat arm pole girdle ring drag-line optimization method process based on glowworm swarm algorithm according to the embodiment of the present invention
Figure；
Fig. 2 is specific according to the double flat arm pole girdle ring drag-line optimization method based on glowworm swarm algorithm of the embodiment of the present invention
Flow chart；
Fig. 3 is the double flat arm pole rod piece and Transmission Tower schematic diagram according to the embodiment of the present invention, wherein (a) double flat
Arm pole rod piece and power transmission tower, (b) standard knot, (c) pole；
Fig. 4 be according to the double flat arm pole girdle ring drag-line of the embodiment of the present invention lay form, wherein τ=1 (a), (b) τ=
2, τ=3 (c), τ=4 (d), τ=5 (e)；
Fig. 5 is the double flat arm pole girdle ring drag-line optimization system structure based on glowworm swarm algorithm according to the embodiment of the present invention
Schematic diagram.
Specific embodiment
The embodiment of the present invention is described below in detail, examples of the embodiments are shown in the accompanying drawings, wherein from beginning to end
Same or similar label indicates same or similar element or element with the same or similar functions.Below with reference to attached
The embodiment of figure description is exemplary, it is intended to is used to explain the present invention, and is not considered as limiting the invention.
The double flat arm pole girdle ring based on glowworm swarm algorithm proposed according to embodiments of the present invention is described with reference to the accompanying drawings
Drag-line optimization method and system describe to propose according to embodiments of the present invention first double based on glowworm swarm algorithm with reference to the accompanying drawings
Flat arm pole girdle ring drag-line optimization method.
Fig. 1 is the double flat arm pole girdle ring drag-line optimization method process based on glowworm swarm algorithm of one embodiment of the invention
Figure.
As shown in Figure 1, should double flat arm pole girdle ring drag-line optimization method based on glowworm swarm algorithm the following steps are included:
In step s101, girdle ring drag-line sectional area is set as size variable, and setting every layer of drag-line and laying height is shape
Variable sets every layer of drag-line and lays form as topological variable, and determines that each variable presets value range.
Further, in one embodiment of the invention, the equal horizontal layout of double flat arm pole girdle ring drag-line, one end connection
Power transmission tower, the other end connect double flat arm pole rod piece, and guy cable length increases with height and reduced.
For example, the optimized variable x=[A, z, τ] of pole girdle ring drag-line is set.In view of drag-line uses in engineering
Same model, size variable are drag-line sectional area, are indicated with A.Therefore, configuration variable is drag-line height, i.e. z=[z1,…,
zk,…,zn], wherein zkIndicate that kth layer drag-line lays height.Topological variable is that drag-line lays form, i.e. τ=[τ1,…,τk,…,
τn], wherein τkIndicate that kth layer drag-line lays form, different τ values represents different drag-lines and lays form.
In step s 102, constraint condition is defined, with the default maximum permissible stress of double flat arm pole rod piece and drag-line, is embraced
The default maximum license displacement and default minimum license buckling factor constraint of bar rod piece.
Further, in one embodiment of the invention, constraint condition is as follows:
s.t. g1=σmax-σall≤0
g3=dmax-dall≤0
g4=λall-λ≤0
Wherein, gv(v=1,2,3,4) indicates constraint function, σmaxIndicate the maximum stress of double flat arm pole rod piece, σallTable
Show the maximum permissible stress of double flat arm pole rod piece,Indicate the maximum stress of drag-line,Indicate that the maximum license of drag-line is answered
Power, dmaxIndicate the maximum displacement of double flat arm pole rod piece, dallIndicate the maximum license displacement of double flat arm pole rod piece, λ is indicated
The buckling factor of double flat arm pole rod piece, λallIndicate the minimum license buckling factor of double flat arm pole rod piece.
In step s 103, the size of double flat arm pole girdle ring drag-line, shape and topological Synchronous fluorimetry model are established, and with
The quality of girdle ring drag-line is the objective function of Synchronous fluorimetry model.
Specifically, establishing Optimized model using ANSYS software, using girdle ring drag-line quality as objective function, formula is such as
Under:
min f(x)
Wherein, f is objective function, i.e. the quality of girdle ring drag-line.
In step S104, using improved glowworm swarm algorithm to double flat arm pole girdle ring drag-line carry out size, shape and
The mechanical property of double flat arm pole rod piece and girdle ring drag-line is analyzed and calculated to topological Synchronous fluorimetry, and about using penalty function processing
Beam condition, is updated by iteration, searches for globally optimal solution.
That is, being optimized using glowworm swarm algorithm is improved to double flat arm pole girdle ring drag-line, analysis is different
The mechanical property of pole under working condition handles constraint condition using penalty function method, carries out to the scheme for being unsatisfactory for design requirement
Punishment, and selected the superior and eliminated the inferior by elitism strategy in algorithm to design scheme, by successive ignition, search meets constraint condition
Optimal solution.
Further, in one embodiment of the invention, in improved glowworm swarm algorithm, iterative formula is as follows:
xi(t+1)=xi(t)+β(xj(t)-xi(t))+α(t)εi
rij=| | xi-xj||
Wherein, xiAnd xjFor spatial position locating for firefly i and firefly j；β is firefly attraction size；α is step
The long factor, with the number of iterations t adaptive change；εiTo be evenly distributed on the random number vector in the section [- 0.5,0.5]；β0With
βminThe respectively upper lower limit value of β；γ is the absorption coefficient of light, for most of problem, be can use γ ∈ [0.01,100]；rijFor firefly
Descartes's distance of fireworm i and firefly j.
Further, in one embodiment of the invention, penalty function method formula is as follows:
Wherein, F (x) indicates that penalized target function value, f (x) indicate objective function, gvIndicate v-th of inequality about
Beam, φvIndicate the penalty coefficient of v-th of inequality constraints.
Below to the specific implementation step and implementation of the double flat arm pole girdle ring drag-line optimization method based on glowworm swarm algorithm
Example is described in detail:
(1) girdle ring drag-line sectional area is set as size variable, and it is configuration variable, every layer of drag-line cloth that every layer of drag-line, which lays height,
If form is topological variable, each design variable value range is determined；
(2) constraint condition is defined, with the maximum permissible stress of pole rod piece and drag-line, the maximum license displacement of pole and most
The small license buckling factor is constraint；
(3) double flat arm pole girdle ring drag-line size, shape and topological Synchronous fluorimetry model are established, the model is with girdle ring drag-line
Quality is objective function；
(4) size, shape and topological Synchronous fluorimetry, analysis are carried out to double flat arm pole girdle ring drag-line using glowworm swarm algorithm
And double flat arm pole and drag-line mechanical property are calculated, constraint condition is handled using penalty function method, is updated by iteration, search is global
Optimal solution.
In step (1), the optimized variable x=[A, z, τ] of pole girdle ring drag-line is set.In view of drag-line makes in engineering
With same model, size variable is drag-line sectional area, is indicated with A.The equal horizontal layout of double flat arm pole girdle ring drag-line, one end connection
Power transmission tower, one end connect pole, and guy cable length increases with height and reduced.Therefore, configuration variable is drag-line height, i.e. z=
[z1,…,zk,…,zn], wherein zkIndicate that kth layer drag-line lays height.Topological variable be drag-line lay form, i.e. τ=
[τ1,…,τk,…,τn], wherein τkIndicate that kth layer drag-line lays form, different τ values represents different drag-lines and lays form.
In step (2), constraint condition is as follows:
s.t. g1=σmax-σall≤0
g3=dmax-dall≤0
g4=λall-λ≤0
Wherein, gv(v=1,2,3,4) indicates constraint function, σmaxIndicate the maximum stress of double flat arm pole rod piece, σallTable
Show the maximum permissible stress of double flat arm pole rod piece,Indicate the maximum stress of drag-line,Indicate that the maximum license of drag-line is answered
Power, dmaxIndicate the maximum displacement of double flat arm pole rod piece, dallIndicate the maximum license displacement of double flat arm pole rod piece, λ is indicated
The buckling factor of double flat arm pole rod piece, λallIndicate the minimum license buckling factor of double flat arm pole rod piece.
In step (3), Optimized model is established using ANSYS software, using girdle ring drag-line quality as objective function, formula
It is as follows:
min f(x)
Wherein, f is objective function, i.e. the quality of girdle ring drag-line.
In step (4), in improved glowworm swarm algorithm, parameter and independent variable iterative formula are as follows:
xi(t+1)=xi(t)+β(xj(t)-xi(t))+α(t)εi
rij=| | xi-xj||
Wherein, xiAnd xjFor spatial position locating for firefly i and firefly j；β is firefly attraction size；α is step
The long factor, with the number of iterations t adaptive change；εiTo be evenly distributed on the random number vector in the section [- 0.5,0.5]；β0With
βminThe respectively upper lower limit value of β；γ is the absorption coefficient of light, for most of problem, be can use γ ∈ [0.01,100]；rijFor firefly
Descartes's distance of fireworm i and firefly j.
In step (4), penalty function method formula is as follows:
In formula, F (x) indicates penalized target function value, gvIndicate v-th of inequality constraints, φvIt indicates to differ for v-th
The penalty coefficient of formula constraint.
As shown in Fig. 2, optimizing stream to the double flat arm pole girdle ring drag-line based on glowworm swarm algorithm below with reference to specific data
Journey is described.
(1) parameterized finite element modeling is carried out to double flat arm pole drag-line with ANSYS；
(2) with parameter, firefly position and the brightness of MATLAB initialization glowworm swarm algorithm, design variable value is set
Range and constraint condition；
(3) parameter of more new algorithm, firefly position and brightness；
(4) double flat arm pole drag-line finite element model is called, finite element analysis is carried out with ANSYS, extracts pole drag-line
Target function value and constraint variate-value；
(5) whether constraint IF condition meets, and the solution for being unsatisfactory for constraint condition is handled using penalty function method；
(6) fitness value is updated, fitness value is ranked up；
(7) judge whether to meet termination condition, satisfaction then exports optimum results, termination algorithm；Otherwise, return step (3)
Continue iteration, until meeting termination condition.
As shown in figure 3, double flat arm pole working depth is 78m, it include 4 layers of drag-line, lifting amplitude is 17m, hoist 7.6t.
Standard knot is having a size of 1.5m × 1.5m × 3.0m.Rod piece maximum permissible stress σallFor 310MPa；Drag-line maximum permissible stressPole maximum license displacement dallFor 700mm；Minimum license buckling factor lambdaallIt is 3.
The double flat arm pole girdle ring drag-line optimization method using provided by the invention based on glowworm swarm algorithm carries out excellent below
Change design.
1) double flat arm pole girdle ring drag-line finite element model is established using ANSYS
Double flat arm pole finite element model is established by bar unit and beam element, wherein mobile jib using beam element Beam188 into
Row simulation, cross bar and web member are simulated using bar unit Link8.Drag-line uses Link10 unit, and only tension is not or not simulation drag-line
The characteristic of compression.Optimization design variable is drag-line sectional area, height coordinate and laying form.Incorporation engineering is practical, all drag-lines
It is all made of same cross-sectional area, it is 0m, upper limit 78m, totally 5 kinds of form of drag-line laying, available drag-line that drag-line, which lays height lower limit,
Shown in sectional area such as table 1 (drag-line model), it is as shown in Figure 4 to lay form.
Table 1
2) load case
The load case that the design of double flat arm pole need to consider is as shown in table 2.
Table 2
3) method provided by the present invention is used, it is excellent to complete double flat arm pole girdle ring drag-line using ANSYS and MATLAB software
Change design.Double flat arm pole girdle ring drag-line initial designs and optimal design Comparative result such as 3 design variable of table and quality versus, table
4 pole maximum displacements compare (unit: mm), the maximum rod piece stress comparison (unit: MPa) of table 5, the maximum drag-line stress comparison of table 6
Shown in 7 buckling factor pair ratio of (unit: MPa) and table:
Table 3
Table 4
Table 5
Table 6
Table 7
Known to 3~table of analytical table, 7 data:
(1) dropped to by the double flat arm pole girdle ring drag-line quality after the optimization of improved glowworm swarm algorithm by 1370.95kg
780.71kg reducing 43.05%.
(2) maximum displacement is obviously reduced compared with initial scheme under each operating condition after the optimization of double flat arm pole drag-line.
(3) maximum rod piece stress is obviously reduced compared with initial scheme under each operating condition after the optimization of double flat arm pole drag-line.
(4) after the optimization of double flat arm pole drag-line under each operating condition maximum drag-line stress change compared with initial scheme it is smaller,
Less than allowable stress.
(5) the buckling factor significantly increases compared with initial scheme under each operating condition after the optimization of double flat arm pole drag-line, stability
It is remarkably reinforced.
The double flat arm pole drag-line optimum design method based on improvement glowworm swarm algorithm of the embodiment of the present invention is to practical work
Journey optimizes, and pole displacement and rod piece stress are obviously reduced after optimization, and the buckling factor significantly increases, and stability is promoted.
Drag-line stress variation is smaller, and meets design specification requirement, and drag-line quality alleviates 43.05%, and effect of optimization is obvious.
The double flat arm pole girdle ring drag-line optimization method based on glowworm swarm algorithm proposed according to embodiments of the present invention, passes through
The glowworm swarm algorithm of application enhancements carries out size, shape and topological Synchronous fluorimetry to drag-line, so that pole safety and economy
Improve, and it is simple to operation, need that adjusting parameter is few, convergence is fast, the double flat arm that can be solved under multivariable and multi-state is embraced
Bar drag-line optimization design.
The double flat arm pole girdle ring based on glowworm swarm algorithm proposed according to embodiments of the present invention is described referring next to attached drawing
Drag-line optimization system.
Fig. 5 is the double flat arm pole girdle ring drag-line optimization system structure based on glowworm swarm algorithm of one embodiment of the invention
Schematic diagram.
As shown in figure 5, being somebody's turn to do the double flat arm pole girdle ring drag-line optimization system 10 based on glowworm swarm algorithm includes: setting module
100, definition module 200, establish module 300 and comprehensive search module 400.
Wherein, setting module 100 sets every layer of drag-line and lays height for setting girdle ring drag-line sectional area as size variable
It for configuration variable, sets every layer of drag-line and lays form as topological variable, and determine that each variable presets value range.Definition module
200 for defining constraint condition, with the default maximum permissible stress of double flat arm pole rod piece and drag-line, pole rod piece it is default most
Big license displacement and default minimum license buckling factor constraint.Module 300 is established for establishing double flat arm pole girdle ring drag-line
Size, shape and topological Synchronous fluorimetry model, and using the quality of girdle ring drag-line as the objective function of Synchronous fluorimetry model.Synthesis is searched
Rope module 400 is used to carry out size, shape to double flat arm pole girdle ring drag-line using improved glowworm swarm algorithm synchronous with topology
Optimization is analyzed and is calculated the mechanical property of double flat arm pole rod piece and girdle ring drag-line, and handles constraint condition using penalty function, leads to
Iteration update is crossed, globally optimal solution is searched for.The optimization system 10 of the embodiment of the present invention is easily grasped by clear logic, concise flow
Make, the parameter for needing to adjust is few, and computational efficiency is high, and effect of optimization is significant.
Further, in one embodiment of the invention, the equal horizontal layout of double flat arm pole girdle ring drag-line, one end connection
Power transmission tower, the other end connect double flat arm pole rod piece, and guy cable length increases with height and reduced.
Further, in one embodiment of the invention, constraint condition is as follows:
s.t. g1=σmax-σall≤0
g3=dmax-dall≤0
g4=λall-λ≤0
Wherein, gv(v=1,2,3,4) indicates constraint function, σmaxIndicate the maximum stress of double flat arm pole rod piece, σallTable
Show the maximum permissible stress of double flat arm pole rod piece,Indicate the maximum stress of drag-line,Indicate that the maximum license of drag-line is answered
Power, dmaxIndicate the maximum displacement of double flat arm pole rod piece, dallIndicate the maximum license displacement of double flat arm pole rod piece, λ is indicated
The buckling factor of double flat arm pole rod piece, λallIndicate the minimum license buckling factor of double flat arm pole rod piece.
Further, in one embodiment of the invention, in improved glowworm swarm algorithm, iterative formula is as follows:
xi(t+1)=xi(t)+β(xj(t)-xi(t))+α(t)εi
rij=| | xi-xj||
Wherein, xiAnd xjFor spatial position locating for firefly i and firefly j；β is firefly attraction size；α is step
The long factor, with the number of iterations t adaptive change；εiTo be evenly distributed on the random number vector in the section [- 0.5,0.5]；β0With
βminThe respectively upper lower limit value of β；γ is the absorption coefficient of light, for most of problem, be can use γ ∈ [0.01,100]；rijFor firefly
Descartes's distance of fireworm i and firefly j.
Further, in one embodiment of the invention, penalty function method formula is as follows:
Wherein, F (x) indicates that penalized target function value, f (x) indicate objective function, gvIndicate v-th of inequality about
Beam, φvIndicate the penalty coefficient of v-th of inequality constraints.
It should be noted that the aforementioned explanation to embodiment of the method is also applied for the double flat based on glowworm swarm algorithm
Arm pole girdle ring drag-line optimization system, details are not described herein again.
The double flat arm pole girdle ring drag-line optimization system based on glowworm swarm algorithm proposed according to embodiments of the present invention, passes through
The glowworm swarm algorithm of application enhancements carries out size, shape and topological Synchronous fluorimetry to drag-line, so that pole safety and economy
Improve, and it is simple to operation, need that adjusting parameter is few, convergence is fast, the double flat arm that can be solved under multivariable and multi-state is embraced
Bar drag-line optimization design.
In addition, term " first ", " second " are used for descriptive purposes only and cannot be understood as indicating or suggesting relative importance
Or implicitly indicate the quantity of indicated technical characteristic.Define " first " as a result, the feature of " second " can be expressed or
Implicitly include at least one this feature.In the description of the present invention, the meaning of " plurality " is at least two, such as two, three
It is a etc., unless otherwise specifically defined.
In the present invention unless specifically defined or limited otherwise, term " installation ", " connected ", " connection ", " fixation " etc.
Term shall be understood in a broad sense, for example, it may be being fixedly connected, may be a detachable connection, or integral；It can be mechanical connect
It connects, is also possible to be electrically connected；It can be directly connected, can also can be in two elements indirectly connected through an intermediary
The interaction relationship of the connection in portion or two elements, unless otherwise restricted clearly.For those of ordinary skill in the art
For, the specific meanings of the above terms in the present invention can be understood according to specific conditions.
In the present invention unless specifically defined or limited otherwise, fisrt feature in the second feature " on " or " down " can be with
It is that the first and second features directly contact or the first and second features pass through intermediary mediate contact.Moreover, fisrt feature exists
Second feature " on ", " top " and " above " but fisrt feature be directly above or diagonally above the second feature, or be merely representative of
First feature horizontal height is higher than second feature.Fisrt feature can be under the second feature " below ", " below " and " below "
One feature is directly under or diagonally below the second feature, or is merely representative of first feature horizontal height less than second feature.
In the description of this specification, reference term " one embodiment ", " some embodiments ", " example ", " specifically show
The description of example " or " some examples " etc. means particular features, structures, materials, or characteristics described in conjunction with this embodiment or example
It is included at least one embodiment or example of the invention.In the present specification, schematic expression of the above terms need not
It must be directed to identical embodiment or example.Moreover, particular features, structures, materials, or characteristics described can be any
It can be combined in any suitable manner in a or multiple embodiment or examples.In addition, without conflicting with each other, the technology of this field
The feature of different embodiments or examples described in this specification and different embodiments or examples can be combined by personnel
And combination.
Although the embodiments of the present invention has been shown and described above, it is to be understood that above-described embodiment is example
Property, it is not considered as limiting the invention, those skilled in the art within the scope of the invention can be to above-mentioned
Embodiment is changed, modifies, replacement and variant.
Claims (10)
1. a kind of double flat arm pole girdle ring drag-line optimization method based on glowworm swarm algorithm, which comprises the following steps:
Girdle ring drag-line sectional area is set as size variable, setting every layer of drag-line and laying height is configuration variable, sets every layer of drag-line
Laying form is topological variable, and determines that each variable presets value range；
Constraint condition is defined, with the default maximum permissible stress of double flat arm pole rod piece and the drag-line, the pole rod piece
Default maximum license displacement and default minimum license buckling factor constraint；
The size, the shape and the topological Synchronous fluorimetry model of double flat arm pole girdle ring drag-line are established, and with described
The quality of girdle ring drag-line is the objective function of the Synchronous fluorimetry model；And
The size, the shape are carried out to the double flat arm pole girdle ring drag-line using improved glowworm swarm algorithm and described opened up
Synchronous fluorimetry is flutterred, analyzes and calculate the mechanical property of the double flat arm pole rod piece and the girdle ring drag-line, and utilize penalty function
The constraint condition is handled, is updated by iteration, globally optimal solution is searched for.
2. the double flat arm pole girdle ring drag-line optimization method according to claim 1 based on glowworm swarm algorithm, feature exist
In the equal horizontal layout of the double flat arm pole girdle ring drag-line, one end connects power transmission tower, and the other end connects the double flat arm pole bar
Part, guy cable length increase with height and are reduced.
3. the double flat arm pole girdle ring drag-line optimization method according to claim 1 based on glowworm swarm algorithm, feature exist
In the constraint condition is as follows:
s.t.g1=σmax-σall≤0
g3=dmax-dall≤0
g4=λall-λ≤0
Wherein, gv(v=1,2,3,4) indicates constraint function, σmaxIndicate the maximum stress of double flat arm pole rod piece, σallIndicate double
The maximum permissible stress of flat arm pole rod piece,Indicate the maximum stress of drag-line,Indicate the maximum permissible stress of drag-line,
dmaxIndicate the maximum displacement of double flat arm pole rod piece, dallIndicate that the maximum license of double flat arm pole rod piece is displaced, described in λ expression
The buckling factor of double flat arm pole rod piece, λallIndicate the minimum license buckling factor of double flat arm pole rod piece.
4. the double flat arm pole girdle ring drag-line optimization method according to claim 1 based on glowworm swarm algorithm, feature exist
In in the improved glowworm swarm algorithm, iterative formula is as follows:
xi(t+1)=xi(t)+β(xj(t)-xi(t))+α(t)εi
rij=| | xi-xj||
Wherein, xiAnd xjFor spatial position locating for firefly i and firefly j；β is firefly attraction size；α be step-length because
Son, with the number of iterations t adaptive change；εiTo be evenly distributed on the random number vector in the section [- 0.5,0.5]；β0And βminPoint
Not Wei β upper lower limit value；γ is the absorption coefficient of light, for most of problem, be can use γ ∈ [0.01,100]；rijFor firefly i
With Descartes's distance of firefly j.
5. the double flat arm pole girdle ring drag-line optimization method according to claim 1 based on glowworm swarm algorithm, feature exist
In the penalty function method formula is as follows:
Wherein, F (x) indicates that penalized target function value, f (x) indicate objective function, gvIndicate v-th of inequality constraints, φv
Indicate the penalty coefficient of v-th of inequality constraints.
6. a kind of double flat arm pole girdle ring drag-line optimization system based on glowworm swarm algorithm characterized by comprising
Setting module, for setting girdle ring drag-line sectional area as size variable, setting every layer of drag-line and laying height is configuration variable,
It sets every layer of drag-line and lays form as topological variable, and determine that each variable presets value range；
Definition module, for defining constraint condition, with the default maximum permissible stress, institute of double flat arm pole rod piece and the drag-line
State the default maximum license displacement and default minimum license buckling factor constraint of pole rod piece；
Module is established, for establishing the size, the shape and the topological Synchronous fluorimetry of double flat arm pole girdle ring drag-line
Model, and be the objective function of the Synchronous fluorimetry model with the quality of the girdle ring drag-line；And
Comprehensive search module, for carrying out the ruler to the double flat arm pole girdle ring drag-line using improved glowworm swarm algorithm
Very little, the described shape and the topological Synchronous fluorimetry, analyze and calculate the power of the double flat arm pole rod piece and the girdle ring drag-line
Performance is learned, and handles the constraint condition using penalty function, is updated by iteration, searches for globally optimal solution.
7. the double flat arm pole girdle ring drag-line optimization system according to claim 6 based on glowworm swarm algorithm, feature exist
In the equal horizontal layout of the double flat arm pole girdle ring drag-line, one end connects power transmission tower, and the other end connects the double flat arm pole bar
Part, guy cable length increase with height and are reduced.
8. the double flat arm pole girdle ring drag-line optimization system according to claim 6 based on glowworm swarm algorithm, feature exist
In the constraint condition is as follows:
s.t.g1=σmax-σall≤0
g3=dmax-dall≤0
g4=λall-λ≤0
Wherein, gv(v=1,2,3,4) indicates constraint function, σmaxIndicate the maximum stress of double flat arm pole rod piece, σallIndicate double
The maximum permissible stress of flat arm pole rod piece,Indicate the maximum stress of drag-line,Indicate the maximum permissible stress of drag-line,
dmaxIndicate the maximum displacement of double flat arm pole rod piece, dallIndicate that the maximum license of double flat arm pole rod piece is displaced, described in λ expression
The buckling factor of double flat arm pole rod piece, λallIndicate the minimum license buckling factor of double flat arm pole rod piece.
9. the double flat arm pole girdle ring drag-line optimization system according to claim 6 based on glowworm swarm algorithm, feature exist
In in the improved glowworm swarm algorithm, iterative formula is as follows:
xi(t+1)=xi(t)+β(xj(t)-xi(t))+α(t)εi
rij=| | xi-xj||
Wherein, xiAnd xjFor spatial position locating for firefly i and firefly j；β is firefly attraction size；α be step-length because
Son, with the number of iterations t adaptive change；εiTo be evenly distributed on the random number vector in the section [- 0.5,0.5]；β0And βminPoint
Not Wei β upper lower limit value；γ is the absorption coefficient of light, for most of problem, be can use γ ∈ [0.01,100]；rijFor firefly i
With Descartes's distance of firefly j.
10. the double flat arm pole girdle ring drag-line optimization system according to claim 6 based on glowworm swarm algorithm, feature exist
In the penalty function method formula is as follows:
Wherein, F (x) indicates that penalized target function value, f (x) indicate objective function, gvIndicate v-th of inequality constraints, φv
Indicate the penalty coefficient of v-th of inequality constraints.
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| CN107016196A (en) * | 2017-04-10 | 2017-08-04 | 合肥工业大学 | A kind of narrow base angle steel Transmission Tower Optimization Design based on glowworm swarm algorithm |
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| WO2018001147A1 (en) * | 2016-06-29 | 2018-01-04 | 深圳市智能机器人研究院 | Optimized tensioned cord model-based method and system for monitoring bridge cable |
| CN107016196A (en) * | 2017-04-10 | 2017-08-04 | 合肥工业大学 | A kind of narrow base angle steel Transmission Tower Optimization Design based on glowworm swarm algorithm |
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