CN102779211A - Optimal design method of smoke box structure of large electric precipitator - Google Patents
Optimal design method of smoke box structure of large electric precipitator Download PDFInfo
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- CN102779211A CN102779211A CN2012102137207A CN201210213720A CN102779211A CN 102779211 A CN102779211 A CN 102779211A CN 2012102137207 A CN2012102137207 A CN 2012102137207A CN 201210213720 A CN201210213720 A CN 201210213720A CN 102779211 A CN102779211 A CN 102779211A
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Abstract
The invention relates to an optimal design method of a smoke box structure of a large electric precipitator. The method includes: optimally designing distribution of reinforcing ribs of the smoke box structure: a design model only comprises a wall plate and a supporting rod, a self-adapting growth method based on the nature branch net morphosis mechanism is adopted, and distribution of the reinforcing ribs of a smoke box is designed with minimum structure strain energy as the design target and under the condition of reinforcing rib volume limiting; and optimally designing dimensions of structure parameters of the smoke box in details with minimum structure mass as the design target and under the condition of meeting structural strength and rigidity requirements, and therefore an optimum smoke box structure with high rigidity and strength and low mass is obtained.
Description
Technical field
The present invention relates to a kind of electric precipitator smoke box construction design method; Be meant a kind of reinforcement distribution that designs smoke box through adaptive Growth method especially based on nature branch net growth mechanism; And adopt dimensionally-optimised method, make the smoke box structure reach the Optimization Design of high rigidity, high strength and lightweight designing requirement.
Background technology
Large-scale electric precipitator is a kind of smoke purifying equipment of controlling atmospheric pollution, and it is applied in numerous industrial trades with remarkable advantages such as energy-efficient, easy maintenances more and more widely.Yet, at present the design of electric precipitator agent structure is not also had the design theory of standard, when manufacturing, generally design through analogy method, construction material distribute and sectional dimension confirm to have blindness, cause a large amount of wastes of material.Smoke box is the major part in the electric precipitator agent structure, and its structure generally is the wallboard (Fig. 1,2) that is furnished with reinforcement.The smoke box of an electric precipitator can weigh tens of tons.Reasonably method for designing is the assurance that guarantees that the smoke box structure has high rigidity, high strength and lightweight.
Summary of the invention
The present invention will provide a kind of large-scale electric precipitator smoke box structure optimization design method, through two design phases, makes the smoke box structure reach the designing requirement of high rigidity, high strength and lightweight.
Technical scheme of the present invention is: a kind of large-scale electric precipitator smoke box structure optimization design method the steps include:
1. smoke box structural bead distribution optimization design
Reinforcement distribution design in the smoke box structure adopts only to comprise designing a model of wallboard and strut, and wallboard is the substrate of reinforcement distribution design, and strut plays supporting structure; And adopt the reinforcement distribution that forms the adaptive Growth method design smoke box of mechanism based on nature branch net form attitude, it is following that it optimizes mathematical model:
In the formula,
UIt is the strain energy of structure;
VBe the volume of structure,
V MaxBe prior given structure maximum volume,
h iBe design variable, be reinforcement
iHeight,
nBe the maximum number of reinforcement in the design space,
h MinWith
h MaxIt is the bound of design variable.
Can obtain having the smoke box structural bead distributional pattern that satisfies the reinforcing rib design volume requirement of maximum stiffness by formula (1);
2. the smoke box structure is dimensionally-optimised
Behind the reinforcement distributional pattern of having confirmed the smoke box structure, obtain initial Optimization Model, on reinforcement Optimal Distribution result's basis, the structural parameters of smoke box are carried out detailed dimensionally-optimised design:
The reinforcement distributional pattern that at first obtains according to first step and the actual cross-sectional dimensions of reinforcement, deletion is to improving little, the undersized reinforcement of rigidity of structure effect; Then, reduce some kinds of specifications to the sectional dimension of reinforcement; Adopt the mathematical model of optimizing design shown in the formula (2) to carry out dimensionally-optimised, dimensionally-optimised result then and make the smoke box architecture quality minimum, satisfy the strength and stiffness requirement of structure simultaneously;
In the formula,
WBe the gross mass of smoke box,
UBe the total strain energy of smoke box, [
U] be the higher limit of smoke box total strain energy,
s MaxBe the maximum VON MISES stress of smoke box, [
s] be the permissible stress of smoke box material,
x 1,
x 2...,
x mBe design variable, comprise the thickness of smoke box wallboard, the sectional dimension of reinforcement,
mBe the number of design variable,
x MinWith
x MaxBound for design variable; Through the design of above two steps, obtain the smoke box optimum structure of high rigidity, high strength and lightweight.
The invention has the beneficial effects as follows:
Optimization smoke box structure through method design of the present invention obtains is compared with traditional structure, light weight, and the integral rigidity of structure and intensity are high.
Description of drawings
Fig. 1 is a conventional smoke box structure front view;
Fig. 2 is the rear view of Fig. 1;
Fig. 3 is the finite element model of smoke box;
Fig. 4 is through the reinforcement distribution skeleton synoptic diagram in the smoke box after the phase one optimal design;
Fig. 5 is a smoke box structural bead distribution design regularization result synoptic diagram;
Fig. 6 is the distribution and the cross section parameter synoptic diagram of reinforcement and wallboard.
Embodiment
Large-scale electric precipitator smoke box structure optimization design method of the present invention comprises two stage optimal design:
Design phase one: smoke box structural bead distribution optimization design
Because the distributional pattern of smoke box structural bead is the principal element that influences the rigidity of structure; And have only and after the reinforcement distributional pattern is confirmed, could further carry out dimensionally-optimisedly to other architectural features, so the first step of the method for designing that proposes of the present invention is that reinforcement distributional pattern to the smoke box structure is optimized.For the smoke box structure is carried out the reinforcement distribution design, designing a model only comprises wallboard and strut, and wallboard is the substrate of reinforcement distribution design, and strut plays supporting structure.In order to improve design efficiency, the present invention adopts the reinforcement distribution that forms the adaptive Growth method design smoke box of mechanism based on nature branch net form attitude, and it is following that it optimizes mathematical model:
In the formula,
UIt is the strain energy of structure;
VBe the volume of structure,
V MaxIt is prior given structure maximum volume.
h iBe design variable, be reinforcement
iHeight,
nBe the maximum number of reinforcement in the design space,
h MinWith
h MaxIt is the bound of design variable.
Can obtain having the smoke box structural bead distributional pattern that satisfies the reinforcing rib design volume requirement of maximum stiffness by formula (1).
Design phase two: smoke box structure dimensionally-optimised
Behind the reinforcement distributional pattern of having confirmed the smoke box structure, can obtain initial Optimization Model.Be further to improve the mechanical property of smoke box, need be on reinforcement Optimal Distribution result's basis, the structural parameters of smoke box are carried out more detailed dimensionally-optimised design.
The muscle that has multiple different cross section size during the smoke box reinforcement that obtains based on the adaptive Growth method distributes, such reinforcement are distributed in and are difficult to processing in the engineering reality, need to carry out regularization to smoke box reinforcement distribution design result and handle.The reinforcement distributional pattern that at first obtains according to the phase one and the actual cross-sectional dimensions of reinforcement, deletion is to improving little, the undersized reinforcement of rigidity of structure effect; Then, reduce some kinds of specifications to the sectional dimension of reinforcement.Adopt the mathematical model of optimizing design shown in the following formula to carry out dimensionally-optimised, dimensionally-optimised result and can make the smoke box architecture quality minimum, satisfy the strength and stiffness requirement of structure simultaneously.
In the formula,
WBe the gross mass of smoke box,
UBe the total strain energy of smoke box, [
U] be the higher limit of smoke box total strain energy,
s MaxBe the maximum VON MISES stress of smoke box, [
s] be the permissible stress of smoke box material,
x 1,
x 2...,
x mBe design variable, comprise the thickness of smoke box wallboard, the sectional dimension of reinforcement etc.,
mNumber for design variable.
x MinWith
x MaxBound for design variable.
Through the design in above two stages, can obtain the smoke box optimum structure of high rigidity, high strength and lightweight.
Embodiment:
With a typical large-scale electric precipitator smoke box structure is that example describes, Fig. 1, and 2 are depicted as typical conventional smoke box structure, and it is made up of wallboard 12, strut 11 and reinforcement 10.Can know that by Fig. 1 reinforcement 10 is equally distributed parallel muscle basically in traditional smoke box structure.
(1) based on the smoke box structural bead distribution design of adaptive Growth method
The adaptive Growth design method is to propose according to the growth mechanism of nature branching system, and it is under the condition to constant load and support, with shell unit simulation thin plate shell; Simulate reinforcement with beam element, with selected " seed " beam element on every side as initial growth reinforcement, on the basis of finite element analysis; The growth reinforcement is carried out sensitivity analysis; And, upgrade the long status that becomes of reinforcement through difference and criterion of degeneracy according to the reinforcement depth of section height of new formula growth reinforcement more, under new growth reinforcement set, carry out the next round optimal design; Circulation so repeatedly; Make reinforcement along the maximum direction of structural entity rigidity is constantly grown up, reached design volume until the cumulative volume of structure, thereby obtained the final distributional pattern of reinforcement.
For smoke box is carried out the reinforcement distribution design, designing a model only comprises wallboard and strut, and wallboard is the substrate of reinforcement distribution design, and strut plays supporting structure.
With reference to the arrangement form and the size of wallboard and strut in the smoke box traditional structure, set up the finite element model of smoke box.As shown in Figure 3.
Optimization mathematical model by formula (1) can obtain design result shown in Figure 4.For the ease of with the contrast of traditional smoke box design result, during the reinforcement distribution design, the structure Design volume upper limit is made as identical with traditional structure.Comparison diagram 3 is visible with Fig. 1; Reinforcement distributes more regular in the conventional smoke box structure; And it is relevant based on the reinforcement distributional pattern of adaptive Growth method with the characteristic and the bearer properties of structure; Therefore the reinforcement based on the adaptive Growth method distributes than the distribution of the reinforcement in the smoke box traditional structure, more can make full use of material, more reasonable.Simultaneously, the whole strain energy of optimizing structure is compared with traditional structure and has been descended 47.28%, further illustrates the rationality and the validity of smoke box self-adaptation reinforcement distribution design.
(2) the dimensionally-optimised design of smoke box structure
The design result of design phase one has obtained the reinforcement Optimal Distribution form of high rigidity.Be further to improve the mechanical property of smoke box, need be on reinforcement Optimal Distribution result's basis, the dimensional parameters of smoke box structure is carried out more detailed optimal design.
The muscle that has multiple different cross section size in the reinforcement distributional pattern of design phase one gained, such reinforcement processing difficulties is handled so need that reinforcement distribution design result is carried out regularization.At first according to the actual cross-sectional dimensions of the distributional pattern and the reinforcement of reinforcement, deletion is to improving little, the undersized muscle of rigidity of structure effect; Then, reduce two kinds of specifications to the sectional dimension of reinforcement.As shown in Figure 5, thicker muscle is represented the reinforcement that specification is bigger, and thinner muscle is represented the reinforcement that specification is less.
Select angle steel to be welded on the wallboard as reinforcement in this example, structure is as shown in Figure 6.Selecting the parameter among Fig. 6 is the optimal design variable, wherein
dBe the angle steel thickness of reinforcement 10,
wBe the width of angle steel,
hBe the height of angle steel,
tThickness for wallboard 12.
Based on the Optimization Model of formula (2), mathematic(al) representation concrete in this example is:
（3）
In the formula,
WBe the general assembly (TW) of smoke box,
UBe the total strain energy of smoke box in the Optimal Structure Designing, [
U] be the higher limit of smoke box total strain energy,
Be the maximum VON MISES stress of smoke box,
Be the permissible stress of smoke box material, the subscript of design variable is represented two kinds of different angle steel specifications, and 1 is the small dimension angle steel, and 2 is big specification angle steel.
t Min , w Imin , h Imin , d Imin With
t Max , w Imax , h Imax , d Imax Be respectively the bound of respective design variable.
By the optimization mathematical model of formula (3), can obtain the value of the variable of optimal design shown in the table 1.Because angle steel is a standard component, need carry out standardization to the design result of angle steel; Simultaneously, with reference to engineering steel plate thickness commonly used, wallboard thickness is carried out rounding.
Based on the design result of table 1, set up FEM model, to analyze optimizing structure, table 2 is the correlation analysis result of optimal design structure and traditional structure.
Can be known that by table 2 smoke box optimal design structure is compared with traditional structure, volume reduces 7.53%, and whole strain energy has descended 7.53%; In addition, the maximum stress of each member of smoke box all has certain reducing, and promptly the intensity of smoke box increases.
Application examples has been explained the validity of the Optimization Design that the present invention proposes.
Claims (1)
1. one kind large-scale electric precipitator smoke box structure optimization design method is characterized in that, the steps include:
(1) smoke box structural bead distribution optimization design
Reinforcement distribution design in the smoke box structure adopts only to comprise designing a model of wallboard and strut, and wallboard is the substrate of reinforcement distribution design, and strut plays supporting structure; Employing distributes based on the reinforcement that nature branch net form attitude forms the adaptive Growth method design smoke box of mechanism, and it is following that it optimizes mathematical model:
In the formula,
UIt is the strain energy of structure;
VBe the volume of structure,
V MaxBe prior given structure maximum volume,
h iBe design variable, be reinforcement
iHeight,
nBe the maximum number of reinforcement in the design space,
h MinWith
h MaxIt is the bound of design variable;
Can obtain having the smoke box structural bead distributional pattern that satisfies the reinforcing rib design volume requirement of maximum stiffness by formula (1);
(2) the smoke box structure is dimensionally-optimised
Behind the reinforcement distributional pattern of having confirmed the smoke box structure, obtain initial Optimization Model, on reinforcement Optimal Distribution result's basis, the structural parameters of smoke box are carried out detailed dimensionally-optimised design:
The reinforcement distributional pattern that at first obtains according to first step and the actual cross-sectional dimensions of reinforcement, deletion is to improving the little small size reinforcement of rigidity of structure effect; Then, reduce some kinds of specifications to the sectional dimension of reinforcement; Adopt the mathematical model of optimizing design shown in the formula (2) to carry out dimensionally-optimised, dimensionally-optimised result then and make the smoke box architecture quality minimum, satisfy the strength and stiffness requirement of structure simultaneously;
In the formula,
WBe the gross mass of smoke box,
UBe the total strain energy of smoke box, [
U] be the higher limit of smoke box total strain energy,
s MaxBe the maximum VON MISES stress of smoke box, [
s] be the permissible stress of smoke box material,
x 1,
x 2...,
x mBe design variable, comprise the thickness of smoke box wallboard, the sectional dimension of reinforcement,
mBe the number of design variable,
x MinWith
x MaxBound for design variable; Through the design of above two steps, obtain the smoke box optimum structure of high rigidity, high strength and lightweight.
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| CN104318037A (en) * | 2014-11-11 | 2015-01-28 | 中国科学院长春光学精密机械与物理研究所 | Design method of large caliber optics telescope four way structure and obtained four way structure |
| CN105243240A (en) * | 2015-11-10 | 2016-01-13 | 上海理工大学 | Optimization design method for high-steel light machine tool large part structure |
| CN110633495A (en) * | 2019-08-08 | 2019-12-31 | 张家港市锦明机械有限公司 | Design method of high-temperature electric dust remover structure |
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| CN105260567B (en) * | 2015-11-06 | 2018-12-14 | 上海理工大学 | Three-dimensional box-structure gusset distribution bionic optimum design method |
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