CN103399991B - A kind of towards low-carbon (LC) light-weighted equipment rotary table Intelligentized design method - Google Patents

A kind of towards low-carbon (LC) light-weighted equipment rotary table Intelligentized design method Download PDF

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CN103399991B
CN103399991B CN201310306836.XA CN201310306836A CN103399991B CN 103399991 B CN103399991 B CN 103399991B CN 201310306836 A CN201310306836 A CN 201310306836A CN 103399991 B CN103399991 B CN 103399991B
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rotary table
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side support
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李宝童
洪军
闫素娜
邱志惠
王哲琳
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Xian Jiaotong University
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Abstract

The invention discloses a kind of towards low-carbon (LC) light-weighted equipment rotary table Intelligentized design method: according to the difference of bearing function, rotary table is divided into the applying portion of Main Load, be called the part of table bearing part and a main supporting role, be called side support part, build this two-part two dimensional character cross section model respectively; Obtain the gusset two dimension preferred configuration of table bearing part and the gusset two dimension preferred configuration of side support part respectively; The 3-d modelling of table bearing part and side support part is designed respectively according to acquired two-dimentional gusset preferred configuration, complete equipment rotary table structural design scheme is obtained by final after both appropriately combination, respectively in the Intelligent creation criterion of different functional parts application carrying configuration after classifying rationally rotary table of the present invention, achieve the optimal structural design of rotary table, can be used for the Optimal Structure Designing of heavy type, superduty equipment rotary table.

Description

A kind of towards low-carbon (LC) light-weighted equipment rotary table Intelligentized design method
Technical field
The present invention relates to heavy type, superduty manufacturing equipment bearing part optimum structure design method, particularly one is towards low-carbon (LC) light-weighted equipment rotary table Intelligentized design method.
Background technology
Heavy, superduty manufacturing equipment is the key equipment in equipment manufacture, has merged multi-disciplinary advanced technology, has represent a manufacturing level of country.Meanwhile, under the development trend of current low-carbon environment-friendly, people have carried out continuous exploration to how realizing heavy type, the lightweight of superduty manufacturing equipment design and the low carbonization of manufacture process.
Rotary table is important component part that is heavy, superduty manufacturing equipment, and the overall performance impact of its architectural characteristic on manufacturing equipment is very large.And traditional rotary table structural design mainly relies on experience, analogy and simple finite element analysis etc., reliability of structure is ensured by adopting larger safety coefficient, this makes rotary table structure bulky, material potential can not get good performance, not only the performance of rotary table is difficult to improve, too increase manufacturing cost simultaneously, current heavy type, the light-weighted designing requirement of superduty manufacturing equipment low-carbon (LC) cannot be met.
Summary of the invention
The object of the present invention is to provide a kind of towards low-carbon (LC) light-weighted equipment rotary table Intelligentized design method.
For achieving the above object, present invention employs following technical scheme.
A kind of towards low-carbon (LC) light-weighted equipment rotary table Intelligentized design method, this Intelligentized design method comprises the following steps: rotary table is divided into different funtion parts by the difference according to carrying effect, take out the two dimensional character cross section model of each funtion part, Intelligent creation criterion applied respectively by each two dimensional character cross section model, the Structure Designing Problem of rotary table is converted to the Intelligent creation problem of each funtion part optimum carrying configuration, each funtion part combination with optimum carrying configuration is obtained the optimum structure of complete rotary table.
Described Intelligentized design method specifically comprises the following steps:
1) structure of two dimensional character cross section model
According to the difference of bearing function, rotary table is divided into table bearing part and side support part two funtion parts, table bearing part is the applying portion of Main Load, side support part has been the part of main supporting role, be the positive ten hexagon stress models of two dimension be made up of shell unit according to table bearing portion boundary condition by table bearing part abstract, positive for two dimension ten hexagon stress models are set as that the two dimensional character of table bearing part gusset configuration creates into space, be the two-dimensional rectangle stress model be made up of shell unit according to side support portion boundary condition by side support part abstract, two-dimensional rectangle stress model is set as the two dimensional character of side support part gusset configuration creates into space, the beam element intercoupled with shell unit is added respectively between the adjacent shell unit node of two stress models,
2) Intelligent creation of gusset configuration in the model of two dimensional character cross section
With the depth of section h of beam element on two dimensional character cross section for design variable, by optimizing the value of the depth of section h changing beam element on two dimensional character cross section, implement the bifurcated in beam element propagation process and degeneration, the most Unihub realizing gusset configuration on two dimensional character cross section becomes; Because depth of section h is the physical dimension uniquely determining beam element weight W, then the essence of Intelligent creation process is the optimum allocation of material, and the mathematical model of whole optimizing process is as follows:
Design variable: W=[W 1, W 2..., W n]
Objective function: the minimum Minf of total strain energy (W)
Constraint condition: W sum≤ W 0
W i U>W i>W i L,i=1,2,…,N
Wherein, f (W) is the total strain energy of structural model, W sumthe gross mass of structure, W 0the architecture quality upper limit given in advance, W ii-th design variable, W i urepresent W ihigher limit, W i lrepresent W ilower limit, N is the number of design variable;
3) aftertreatment of rotary table structural design
According to the gusset configuration of table bearing part in the model of two dimensional character cross section, design the three-dimensional preferred configuration of table bearing part, according to the gusset configuration of side support part in the model of two dimensional character cross section, design the three-dimensional preferred configuration of side support part gusset, the three-dimensional preferred configuration of side support part gusset is done the final three-dimensional preferred configuration that circumference array process obtains side support part around work table rotation center, the final three-dimensional preferred configuration of side support part and the three-dimensional preferred configuration of table bearing part are combined, obtain complete rotary table.
The Intelligent creation of gusset configuration in the model of described two dimensional character cross section, concrete steps are as follows:
1) according to actual installation constraint and the loading conditions of funtion part, boundary constraint and load are applied to the two dimensional character cross section model built;
2) definition solves type is structure static analysis, solves initialization model, and the display result that setting is analyzed is equivalent stress, the total strain energy of computation structure distortion;
3) value of design Storage variable parameter h and malformation total strain energy;
4) the constrained parameters W of setting structure intelligent optimization 0, the material incremental Δ W that in setting structure optimizing process, each loop iteration is given, the bifurcated threshold value h of setting competition beam element band degeneration threshold value h d;
5) choose some points that initial strain on two dimensional character cross section can be relatively high for creating into starting point, selected point is comprised in be created into a set and { in B}, creates into beam element that a surrounding can increase and be contained in and prepare beam element set that competition increases { in C};
6) loop iteration each time, set the weight of each beam element participated in the competition in C}, according to corresponding broad sense sensitivity D value direct ratio dispensing materials increment Delta W, realizes the optimum allocation of material, and the weight iterative computation criterion after the growth of each competition beam element is as follows:
W i ( k + 1 ) = α · ( D i · ΔW D sum ) ( k ) + ( 1 - α ) · W i ( k ) , ( i = 1 , . . . , N )
Wherein, e is the total strain energy of current structure, for total strain energy is to the sensitivity of competition beam element weight, α represents the iteration step length factor, and k represents the step number of iteration,
7) because beam element cross-sectional width b is definite value, depth of section h is the physical dimension uniquely determining its weight, in each circulation, the distribution of material is reflected as the more new change of each competition beam element depth of section h, if the depth of section of competition beam element is less than degeneration threshold value h after upgrading d, think that this competition beam element meets degenerative conditions, from the set of competition beam element, { remove C}, its two end node also { removes B} from creating into a set, and is h by its depth of section assignment d; If the depth of section after upgrading is more than or equal to bifurcated threshold value h b, then thinking that this competition beam element has bifurcated ability, is then h by its assignment b, simultaneously the node at two ends becomes a little to add to as new wound and creates into a set { in B}, and all beam elements that new wound becomes a surrounding to connect add set to { in C}, with the distribution of the material that participates in the competition in circulating at next;
8) the design variable parameter h after storage update, upgrades whole two dimensional character cross section model, calculates the material general assembly (TW) of the structural model after upgrading, judges whether it reaches gross mass upper limit W 0if reached, then loop iteration stops, otherwise repeats above-mentioned iterative step;
9) after whole intelligent optimization iteration terminates, at [h d, h b] upper selective value h vas the standard of screening beam element further, filter out depth of section and be less than h vbeam element, then the beam element retained and two dimensional character cross section together form and have clear layout and optimum reasonably thin plate reinforced structure, and the most Unihub namely obtaining funtion part gusset configuration becomes.
Beneficial effect of the present invention is embodied in: the present invention according to rotary table different parts play the difference of carrying effect, rotary table is divided into several funtion parts, then based on the structure of the two dimensional character cross section model of each funtion part, the Structure Designing Problem of rotary table is converted into the Intelligent creation problem of each funtion part gusset configuration, corresponding optimum carrying configuration is obtained by carrying out Intelligent creation to the carrying configuration of each funtion part, finally each funtion part combination with optimum carrying configuration is obtained the optimum structure of rotary table, method of the present invention is compared with traditional rotary table construction design method based on engineering experience, the present invention is while accomplishing low-carbon (LC) material-saving, the performances such as the rigidity of structure of optimizing design scheme obtain and significantly improve, achieve rotary table high specific stiffness low-carbon (LC) light-weight design, can be used for heavy type, the Optimal Structure Designing of superduty equipment rotary table, improve design efficiency simultaneously.
Accompanying drawing explanation
Fig. 1 is rotary table two dimensional character cross section illustraton of model, and wherein (a) is table bearing part two dimensional character cross section illustraton of model, and (b) is side support part two dimensional character cross section illustraton of model;
Fig. 2 is the Intelligent creation figure of rotary table table bearing part gusset configuration, wherein (a) is table bearing part two dimensional character cross sectional boundary information drawing, b () is that table bearing part gusset configuration creates into starting point arrangenent diagram, round dot is for creating into starting point, and (c) is that table bearing part gusset creates into configuration picture;
Fig. 3 is the Intelligent creation figure of rotary table side support part gusset configuration, wherein (a) is side support part two dimensional character cross sectional boundary information drawing, b () is that side support part gusset configuration creates into starting point arrangenent diagram, round dot is for creating into starting point, and (c) is that side support part gusset creates into configuration picture;
Fig. 4 is the rotary table structural drawing after optimizing, wherein (a) is the three-dimensional optimal location figure of table bearing part gusset, b () is the three-dimensional optimal location figure of side support part gusset, the rotary table structural drawing after (c) optimization.
Embodiment
The present invention aims to provide a kind of low-carbon (LC) light-weight design scheme of the equipment rotary table structure based on carrying configuration Intelligent creation criterion, and its design result is more clear than traditional topological optimization result, can directly for actual engineering design provides scheme support.Design proposal of the present invention first according to the difference of bearing function equipment rotary table is divided into table bearing part and side support part two parts design.On these two parts, application carries the Intelligent creation criterion of configuration respectively, rotary table Structure Designing Problem is converted into the Intelligent creation problem of table bearing part and side support part gusset configuration:
1. pre-treatment: according to the difference of bearing function, is divided into the applying portion of Main Load by rotary table, be called the part of table bearing part and a main supporting role, be called side support part.Build this two-part two dimensional character cross section model respectively; 2. Intelligent creation: obtain the gusset two dimension optimal location of table bearing part and the gusset two dimension optimal location of side support part respectively; 3. both are combined the equipment rotary table structural design scheme that rear final acquisition is complete by aftertreatment: the 3-d modelling designing table bearing part and side support part according to acquired two-dimentional gusset optimal location respectively.
Specific implementation process comprises the following steps:
1) structure of space two-dimensional characteristic cross-section model is created into
According to the difference of bearing function, rotary table is divided into table bearing part and side support part two funtion parts, table bearing part is the applying portion of Main Load, side support part has been the part of main supporting role, in order to improve the numerical value adaptability of model, be the positive ten hexagon stress models of two dimension be made up of shell unit according to table bearing portion boundary condition (actual installation constraint and loading conditions) by table bearing part abstract, positive for two dimension ten hexagon stress models are set as that the two dimensional character of table bearing part gusset configuration creates into space, be the two-dimensional rectangle stress model be made up of shell unit according to side support portion boundary condition (actual installation constraint and loading conditions) by side support part abstract, two-dimensional rectangle stress model is set as the two dimensional character of side support part gusset configuration creates into space, the beam element intercoupled with shell unit is added respectively between the adjacent shell unit node of two stress models (the positive ten hexagon stress models of two dimension and two-dimensional rectangle stress model), suppose that beam element xsect is square-section, cross-sectional width: b, depth of section: h,
2) Intelligent creation of gusset configuration in the model of two dimensional character cross section
Based on the structure equipping the table bearing part of rotary table and the two dimensional character cross section model of side support part, the Structure Designing Problem of rotary table is converted into the Intelligent creation problem of table bearing part and side support part gusset configuration, the optimizing process that to be specifically reflected as with the depth of section h of beam element on two dimensional character cross section be design variable, by optimizing the value of the depth of section h changing beam element on two dimensional character cross section, implement the bifurcated in beam element propagation process and degeneration, the most Unihub realizing gusset configuration on two dimensional character cross section becomes; Because depth of section h is the physical dimension uniquely determining beam element weight W, then the essence of Intelligent creation process is the optimum allocation of material (weight), and the mathematical model of its whole optimizing process is as follows:
Design variable: W=[W 1, W 2..., W n]
Objective function: the minimum Minf of total strain energy (W)
Constraint condition: W sum≤ W 0
W i U>W i>W i L,i=1,2,…,N
Wherein, f (W) is the total strain energy of structural model, W sumthe gross mass of structure, W 0the architecture quality upper limit given in advance, W ii-th design variable, W i urepresent W ihigher limit, W i lrepresent W ilower limit, N is the number of design variable;
Parameters needed for setting Intelligent creation (comprises the upper limit W of total material general assembly (TW) 0, the material incremental Δ W that each loop iteration is given, and the bifurcated threshold value h of competition beam element bwith degeneration threshold value h d) after, wound table bearing part and the two dimensional character cross section model of side support part being applied respectively to carrying configuration becomes criterion, and the most Unihub realizing these two parts carrying configuration becomes.
The Intelligent creation of gusset configuration in the model of described two dimensional character cross section, concrete steps are as follows:
1) according to actual installation constraint and the loading conditions of funtion part, boundary constraint and load are applied to the two dimensional character cross section model built;
2) definition solves type is structure static analysis, solves initialization model, and the display result that setting is analyzed is equivalent stress, the total strain energy of computation structure distortion;
3) value of design Storage variable parameter h and malformation total strain energy;
4) the constrained parameters W of setting structure intelligent optimization 0, i.e. the upper limit of total material general assembly (TW), the material incremental Δ W that in setting structure optimizing process, each loop iteration is given, the bifurcated threshold value h of setting competition beam element band degeneration threshold value h d;
5) choose some points that initial strain on two dimensional character cross section can be relatively high for creating into starting point, selected point is comprised in be created into a set and { in B}, creates into beam element that a surrounding can increase and be contained in and prepare beam element set that competition increases { in C};
6) loop iteration each time, set the weight of each beam element participated in the competition in C}, according to corresponding broad sense sensitivity D value direct ratio dispensing materials increment Delta W, realizes the optimum allocation of material, and the weight iterative computation criterion after the growth of each competition beam element is as follows:
W i ( k + 1 ) = α · ( D i · ΔW D sum ) ( k ) + ( 1 - α ) · W i ( k ) , ( i = 1 , . . . , N )
Wherein, e is the total strain energy of current structure, for total strain energy is to the sensitivity of competition beam element weight, α represents the iteration step length factor, and k represents the step number of iteration,
7) because beam element cross-sectional width b is definite value, depth of section h is the physical dimension uniquely determining its weight, in each circulation, the distribution of material can be reflected as the more new change of each competition beam element depth of section h, if the depth of section of competition beam element is less than degeneration threshold value h after upgrading d, think that this competition beam element meets degenerative conditions, from the set of competition beam element, { remove C}, its two end node also { removes B} from creating into a set, and is h by its depth of section assignment d; If the depth of section after upgrading is more than or equal to bifurcated threshold value h b, then thinking that this competition beam element has bifurcated ability, is then h by its assignment b, simultaneously the node at two ends becomes a little to add to as new wound and creates into a set { in B}, and all beam elements that new wound becomes a surrounding to connect add set to { in C}, with the distribution of the material that participates in the competition in circulating at next;
8) the design variable parameter h after storage update, upgrades whole two dimensional character cross section model, calculates the material general assembly (TW) of the structural model after upgrading, judges whether it reaches gross mass upper limit W 0if reached, then loop iteration stops, otherwise repeats above-mentioned iterative step;
9) after whole intelligent optimization iteration terminates, at [h d, h b] upper selective value h vas the standard of screening beam element further, filter out depth of section and be less than h vbeam element, then the beam element retained and two dimensional character cross section together form and have clear layout and optimum reasonably thin plate reinforced structure, and the most Unihub namely obtaining funtion part gusset configuration becomes.
3) aftertreatment of rotary table structural design
According to the gusset Intelligent creation configuration of table bearing part in the model of two dimensional character cross section, design the three-dimensional preferred configuration of table bearing part, according to the gusset Intelligent creation configuration of side support part in the model of two dimensional character cross section, design the three-dimensional optimal location of side support part gusset, the three-dimensional preferred configuration that circumference array process obtains final side support part is done by three-dimensional optimal location around work table rotation center, the three-dimensional preferred configuration of side support part and the three-dimensional preferred configuration of table bearing part are combined, obtain complete rotary table.Finally, under the requirement considering equipment rotary table processing technology and manufacture assembling, revise rotary table structure further, obtain optimum equipment rotary table structural design scheme.
The method for designing that the present invention proposes can be used for the structural design of all kinds of manufacturing equipment rotary table, below for certain model cylindrical gear grinding machine, specific implementation process is described.
(1) structure of space two-dimensional characteristic cross-section model is created into
First according to the difference of rotary table different parts carrying effect, the first half of fetching revolving worktable is table bearing part, and the latter half is side support part.According to the actual boundary condition of difference in functionality part, be the positive ten hexagon stress models of two dimension be made up of shell unit by table bearing part abstract, and the two dimensional character setting it to table bearing part gusset configuration create into space, as shown in Fig. 1 (a); Be the two-dimensional rectangle stress model be made up of shell unit by side support part abstract, and the two dimensional character setting it to side support part gusset configuration create into space, as shown in Fig. 1 (b).The beam element be coupled with adjacent shell unit node is set up respectively on two stress models.Shell unit shell63 simulates, and its section thickness is set to 1e-2mm, and beam element beam188 simulates, and its cross-sectional width b is set to 1e-2mm, and depth of section h is 1e-4mm.
(2) Intelligent creation of rotary table difference in functionality part carrying configuration
Based on the two dimensional character cross section model built, the Structure Designing Problem of rotary table is converted into the Intelligent creation problem of table bearing part and side support part gusset configuration.
1. the Intelligent creation of rotary table table bearing part gusset configuration:
To make rotary table table bearing part total strain energy minimum for objective function, with the general assembly (TW) of beam element on table bearing part two dimensional character cross section for constraint condition, with the depth of section h of beam element on cross section for design variable, carry out Renewal Design variable h by optimizing dispensing materials.
According to the actual condition of cylindrical gear grinding machine rotary table, the two dimensional character cross section of table bearing part applies well-distributed pressure load, whole degree of freedom of fixed constraint kernel of section eight nodes, as shown in Figure 2 (a) shows; Choose 4 nodes that the cross section initial strain of table bearing part two dimensional character can be relatively high for creating into starting point, as shown in Fig. 2 (b); A series of correlation parameters needed for setting table surface bearing part gusset configuration Intelligent creation, comprise W 0, Δ W, h b, h d.Herein, W 0for the general assembly (TW) upper limit of beam element on cross section, its value gets 1.1 times of table bearing part two dimensional character cross section weight, Δ W is according to the number self-adaptative adjustment competing beam element in optimizing process, for kth time iteration, suppose have n beam element to participate in the competition in kth time iteration, Δ W just equals this n competition beam element, and (kth-1 iteration completes at this moment, kth time iteration just starts, the weight of this n competition beam element does not also change in kth time iteration) general assembly (TW), so material incremental Δ W is according to the number self-adaptative adjustment of competition beam element.H bfor competition beam element bifurcated threshold value, its value gets 1mm, h dfor competition beam element degeneration threshold value, its value gets 1e-4mm.
To the two dimensional character cross section application carrying configuration Intelligent creation criterion of table bearing part, after optimizing loop iteration, model optimization result table bearing part two dimensional character cross section being dispersed with different cross section height beam element can be obtained.Filter out the beam element that depth of section is less than 0.7mm, obtain gusset configuration clearly, as shown in Figure 2 (c).
2. the Intelligent creation of rotary table side support part gusset configuration:
To make rotary table side support part total strain energy minimum for objective function, with the general assembly (TW) of beam element on side support part two dimensional character cross section for constraint condition, with the depth of section h of beam element on cross section for design variable, carry out Renewal Design variable h by optimizing dispensing materials.
According to the actual condition of cylindrical gear grinding machine rotary table, apply well-distributed pressure load in the coboundary in side support part two dimensional character cross section, whole degree of freedom of fixed constraint lower boundary 6 nodes, as shown in Fig. 3 (a); Choose 3 nodes that the cross section initial strain of side support part two dimensional character can be relatively high for creating into starting point, as shown in Figure 3 (b); A series of correlation parameters needed for side support part gusset configuration Intelligent creation are set, comprise W 0, Δ W, h b, h d.Herein, W 0for the general assembly (TW) upper limit of beam element on cross section, its value gets 0.9 times of side support part two dimensional character cross section weight, Δ W is according to the number self-adaptative adjustment competing beam element in optimizing process, for kth time iteration, suppose have n beam element to participate in the competition in kth time iteration, Δ W just equals this n competition beam element, and (kth-1 iteration completes at this moment, kth time iteration just starts, the weight of this n competition beam element does not also change in kth time iteration) general assembly (TW), so material incremental Δ W is according to the number self-adaptative adjustment of competition beam element.H bfor competition beam element bifurcated threshold value, its value gets 1mm, h dfor competition beam element degeneration threshold value, its value gets 1e-2mm.
To side support part two dimensional character cross section application carrying configuration Intelligent creation criterion, after optimizing loop iteration, model optimization result side support part two dimensional character cross section being dispersed with different cross section height beam element can be obtained.Filter out the beam element that depth of section is less than 0.9mm, obtain gusset configuration clearly, as shown in Figure 3 (c).
(3) aftertreatment of rotary table structural design
According to the gusset Intelligent creation layout in table bearing part two dimensional character cross section, design the three-dimensional preferred configuration of table bearing part, as shown in Figure 4 (a).According to the gusset Intelligent creation layout in side support part two dimensional character cross section, design the three-dimensional optimal location of side support part gusset, as shown in Figure 4 (b), and by it do circumference array process around work table rotation center and obtain final side support partial 3-D preferred configuration.This side support partial 3-D preferred configuration and table bearing partial 3-D preferred configuration are combined, obtains complete machine tool rotary working table.Finally, under the requirement considering machine tool rotary working table processing technology and manufacture assembling, revise machine tool rotary working table structure further, obtain optimum machine tool rotary working table structural design scheme, as shown in Figure 4 (c).
In order to prove the rationality of design result, carry out finite element analysis respectively to the rotary table structure before and after optimizing, compare the weight of model before and after optimizing, maximum distortion, maximum equivalent and natural frequency, its comparative result is as shown in table 1.
Before and after table 1 structure optimization, each performance parameter of rotary table compares
Weight kg Maximum stress MPa Maximum distortion mm Natural frequency Hz
Former rotary table 1296.0 4.737 3.52E-6 13955
Rotary table after optimizing 1238.4 3.549 2.94E-6 13893
Relative increase -6.2% -25.1% -16.4% -0.44%
As can be seen from Table 1, the relative original structure weight of the model after optimization decreases 6.2%, and maximum stress reduces 25.1%, and maximum distortion reduces 16.4%.Although the natural frequency of structure declines to some extent, but still in allowed limits.
To sum up, adopt the rotary table node configuration of method for designing optimal design of the present invention, under the prerequisite of lightweight low-carbon (LC) material-saving, can obviously improve the structural behaviour of rotary table, obtain the structural effectiveness of high specific stiffness.

Claims (3)

1. one kind towards low-carbon (LC) light-weighted equipment rotary table Intelligentized design method, it is characterized in that: this Intelligentized design method comprises the following steps: rotary table is divided into different funtion parts by the difference according to carrying effect, take out the two dimensional character cross section model of each funtion part, on the model of each two dimensional character cross section, application carries the Intelligent creation criterion of configuration respectively, the Structure Designing Problem of rotary table is converted to the Intelligent creation problem of each funtion part optimum carrying configuration, each funtion part combination with optimum carrying configuration is obtained the optimum structure of complete rotary table,
Described Intelligent creation criterion refers to:
With the depth of section h of beam element on two dimensional character cross section for design variable, by optimizing the value of the depth of section h changing beam element on two dimensional character cross section, implement the bifurcated in beam element propagation process and degeneration, the most Unihub realizing gusset configuration on two dimensional character cross section becomes; Because depth of section h is the physical dimension uniquely determining beam element weight W, then the essence of Intelligent creation process is the optimum allocation of material, and the mathematical model of whole optimizing process is as follows:
Design variable: W=[W 1, W 2..., W n]
Objective function: the minimum Minf of total strain energy (W)
Constraint condition: W sum≤ W 0
W i U > W i > W i L , i = 1 , 2 , ... , N
Wherein, f (W) is the total strain energy of structural model, W sumthe gross mass of structure, W 0the architecture quality upper limit given in advance, W ii-th design variable, represent W ihigher limit, represent W ilower limit, N is the number of design variable.
2. a kind of towards low-carbon (LC) light-weighted equipment rotary table Intelligentized design method according to claim 1, it is characterized in that: described Intelligentized design method specifically comprises the following steps:
1) structure of two dimensional character cross section model
According to the difference of bearing function, rotary table is divided into table bearing part and side support part two funtion parts, table bearing part is the applying portion of Main Load, side support part has been the part of main supporting role, be the positive ten hexagon stress models of two dimension be made up of shell unit according to table bearing portion boundary condition by table bearing part abstract, positive for two dimension ten hexagon stress models are set as that the two dimensional character of table bearing part gusset configuration creates into space, be the two-dimensional rectangle stress model be made up of shell unit according to side support portion boundary condition by side support part abstract, two-dimensional rectangle stress model is set as the two dimensional character of side support part gusset configuration creates into space, the beam element intercoupled with shell unit is added respectively between the adjacent shell unit node of two stress models,
2) Intelligent creation of gusset configuration in the model of two dimensional character cross section
With the depth of section h of beam element on two dimensional character cross section for design variable, by optimizing the value of the depth of section h changing beam element on two dimensional character cross section, implement the bifurcated in beam element propagation process and degeneration, the most Unihub realizing gusset configuration on two dimensional character cross section becomes; Because depth of section h is the physical dimension uniquely determining beam element weight W, then the essence of Intelligent creation process is the optimum allocation of material, and the mathematical model of whole optimizing process is as follows:
Design variable: W=[W 1, W 2..., W n]
Objective function: the minimum Minf of total strain energy (W)
Constraint condition: W sum≤ W0
W i U > W i > W i L , i = 1 , 2 , ... , N
Wherein, f (W) is the total strain energy of structural model, W sumthe gross mass of structure, W 0the architecture quality upper limit given in advance, W ii-th design variable, represent W ihigher limit, represent W ilower limit, N is the number of design variable;
3) aftertreatment of rotary table structural design
According to the gusset configuration of table bearing part in the model of two dimensional character cross section, design the three-dimensional preferred configuration of table bearing part, according to the gusset configuration of side support part in the model of two dimensional character cross section, design the three-dimensional preferred configuration of side support part gusset, the three-dimensional preferred configuration of side support part gusset is done the final three-dimensional preferred configuration that circumference array process obtains side support part around work table rotation center, the final three-dimensional preferred configuration of side support part and the three-dimensional preferred configuration of table bearing part are combined, obtain complete rotary table.
3. a kind of towards low-carbon (LC) light-weighted equipment rotary table Intelligentized design method according to claim 2, it is characterized in that: the Intelligent creation of gusset configuration in the model of described two dimensional character cross section, concrete steps are as follows:
1) according to actual installation constraint and the loading conditions of funtion part, boundary constraint and load are applied to the two dimensional character cross section model built;
2) definition solves type is structure static analysis, solves initialization model, and the display result that setting is analyzed is equivalent stress, the total strain energy of computation structure distortion;
3) value of design Storage variable parameter h and malformation total strain energy;
4) the constrained parameters W of setting structure intelligent optimization 0, the material incremental Δ W that in setting structure optimizing process, each loop iteration is given, the bifurcated threshold value h of setting competition beam element band degeneration threshold value h d;
5) choose some points that initial strain on two dimensional character cross section can be relatively high for creating into starting point, selected point is comprised in be created into a set and { in B}, creates into beam element that a surrounding can increase and be contained in and prepare beam element set that competition increases { in C};
6) loop iteration each time, { weight of each beam element participated in the competition in C} is according to corresponding broad sense sensitivity D value direct ratio dispensing materials increment Delta W in set, realize the optimum allocation of material, the weight iterative computation criterion after each competition beam element increases is as follows:
W i ( k + 1 ) = α · ( D i · Δ W D s u m ) ( k ) + ( 1 - α ) · W i ( k ) , ( i = 1 , ... , N )
Wherein, e is the total strain energy of current structure, for total strain energy is to the sensitivity of competition beam element weight, α represents the iteration step length factor, and k represents the step number of iteration,
7) because beam element cross-sectional width b is definite value, depth of section h is the physical dimension uniquely determining its weight, in each circulation, the distribution of material is reflected as the more new change of each competition beam element depth of section h, if the depth of section of competition beam element is less than degeneration threshold value h after upgrading d, think that this competition beam element meets degenerative conditions, from the set of competition beam element, { remove C}, its two end node also { removes B} from creating into a set, and is h by its depth of section assignment d; If the depth of section after upgrading is more than or equal to bifurcated threshold value h b, then thinking that this competition beam element has bifurcated ability, is then h by its assignment b, simultaneously the node at two ends becomes a little to add to as new wound and creates into a set { in B}, and all beam elements that new wound becomes a surrounding to connect add set to { in C}, with the distribution of the material that participates in the competition in circulating at next;
8) the design variable parameter h after storage update, upgrades whole two dimensional character cross section model, calculates the material general assembly (TW) of the structural model after upgrading, judges whether it reaches gross mass upper limit W 0if reached, then loop iteration stops, otherwise repeats above-mentioned iterative step;
9) after whole intelligent optimization iteration terminates, at [h d, h b] upper selective value h vas the standard of screening beam element further, filter out depth of section and be less than h vbeam element, then the beam element retained and two dimensional character cross section together form and have clear layout and optimum reasonably thin plate reinforced structure, and the most Unihub namely obtaining funtion part gusset configuration becomes.
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