CN106934129A - A kind of Engineering Structure Optimum method based on reliability - Google Patents
A kind of Engineering Structure Optimum method based on reliability Download PDFInfo
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- CN106934129A CN106934129A CN201710112571.8A CN201710112571A CN106934129A CN 106934129 A CN106934129 A CN 106934129A CN 201710112571 A CN201710112571 A CN 201710112571A CN 106934129 A CN106934129 A CN 106934129A
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- design variable
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
Abstract
The invention discloses a kind of Engineering Structure Optimum method based on reliability, belong to engineering structure reliability analysis field.Comprise the following steps：Step one, the simulation model for setting up engineering structure；Step 2, definition design variable, solver and system response；Step 3, determine the influence coefficient that design variable is responded to system, according to the Changing Pattern that system is responded, set up variable and corresponding relation, data are provided to set up approximate model；Step 4, approximate model is set up, analyze experimental design the data obtained, using the response of the polynomial expression system of design variable, the system for predicting non-viewing point is corresponding；Step 5, setting constraint and object function, submit computing to, and the result for obtaining is the value of array design variable and corresponding constraint and object function；Step 6, the random distribution to computing system response are analyzed；Present system ground is optimized to the method for designing of engineering structure, improves security and durability of the engineering structure during service life.
Description
Technical field
The invention belongs to engineering structure reliability analysis technical field, and in particular to a kind of engineering structure based on reliability
Optimization method.
Background technology
Engineering structure is that people are rely the required facility of live and work, and its numerous types, vdiverse in function, shape differ,
Such as building structure, mechanical structure and aircaft configuration.Structural Design always under certain technology and material conditions, is pursued
Safer more economical structural design scheme, this requires to continue to optimize structural design scheme.Optimal Structure Designing is exactly full
Make certain generalized performance indices (such as weight, cost) of structure under conditions of the various specifications of foot or some particular requirements for most
It is good.Designer generally carries out structure optimization and sets by adjusting the structural material of engineering structure, the isoparametric value of component size
Meter.In Practical Project, these parameters usually show randomness, and reliability cannot be accurately pre- in use to cause engineering structure
Survey, so must be by reliability of structure in view of in optimization design.
The content of the invention
The purpose of the present invention：In order to solve the above problems, it is excellent that the present invention proposes a kind of engineering structure based on reliability
Change method, regards design parameter as stochastic variable, and systematically the method for designing to engineering structure is optimized, and improves engineering knot
Security and durability of the structure during service life.
Technical scheme：A kind of Engineering Structure Optimum method based on reliability, comprises the following steps：
Step one, the simulation model for setting up engineering structure；
Step 2, definition design variable, solver and system response；
Step 3, experimental design；
A) the influence coefficient that design variable is responded to system, design variable of the screening main effect more than 75% are determined；
B) Changing Pattern responded according to system, sets up variable and corresponding relation, and data are provided to set up approximate model；
Step 4, set up approximate model；
Analysis experimental design the data obtained, using the response of the polynomial expression system of design variable, for predicting non-sight
The system of measuring point is corresponding；
Step 5, optimize design；
C) first for design variable selects random distribution；
D) constraint and object function are set, computing is submitted to, the result for obtaining is array design variable and its corresponding constraint
With the value of object function；
Seek design variable：
[X]={ X1, X2,X3....Xn}T
Xi∈P
Make object function：
F([X])→min
Meet constraint：
ai≤xi≤biI=1,2...,
Prob(Dis.([X])≤0.015)≥Cj
Prob(Fre.([X])≥400)≥Dj
J=1,2 ..., k
Wherein, P is certain probability distribution function, ai, biIt is i-th bound of design variable, n is individual for design variable
Number；Cj、DjIt is constant；
Step 6, the random distribution to computing system response are analyzed；
E) random distribution of design variable is defined；
F) random distribution that system is responded is analyzed using statistical method.
Preferably, in the step 2, screening main effect should be 80% design variable.
Preferably, in the step 5, the CjThe span of constant is 90%-95%.
Preferably, in the step 5, the DjThe span of constant is 95%-99%.
Technique effect of the invention：A kind of Engineering Structure Optimum method based on reliability of the present invention, based on reliability
The gained optimal design of Optimal Structure Designing and deterministic structure optimization difference, the object function of the latter is more excellent, but can
Relatively low by property, the former object function is more excellent, and reliability is very high；
As can be seen here, in engineering structure design, carrying out the Optimal Structure Designing based on reliability has important meaning
Justice, structure superior performance on the premise of high reliability, it is ensured that structure interior preferable security and resistance to during service life
Long property.
Brief description of the drawings
Fig. 1 is that a kind of flow of a preferred embodiment of the Optimum design of engineering structures method based on reliability of the present invention is shown
It is intended to；
Fig. 2 is that a kind of Optimum design of engineering structures method based on reliability of the present invention implements thin-walled steel gird emulation mould in row
Type.
Specific embodiment
To make the purpose, technical scheme and advantage of present invention implementation clearer, below in conjunction with the embodiment of the present invention
Accompanying drawing, the technical scheme in the embodiment of the present invention is further described in more detail.In the accompanying drawings, identical from start to finish or class
As label represent same or similar element or the element with same or like function.Described embodiment is the present invention
A part of embodiment, rather than whole embodiments.Embodiment below with reference to Description of Drawings is exemplary, it is intended to used
It is of the invention in explaining, and be not considered as limiting the invention.Based on the embodiment in the present invention, ordinary skill people
The every other embodiment that member is obtained under the premise of creative work is not made, belongs to the scope of protection of the invention.Under
Face is described in detail with reference to accompanying drawing to embodiments of the invention.
In the description of the invention, it is to be understood that term " " center ", " longitudinal direction ", " transverse direction ", "front", "rear",
The orientation or position relationship of the instruction such as "left", "right", " vertical ", " level ", " top ", " bottom " " interior ", " outward " are based on accompanying drawing institute
The orientation or position relationship for showing, are for only for ease of the description present invention and simplify description, rather than the dress for indicating or implying meaning
Put or element with specific orientation, with specific azimuth configuration and operation, therefore it is not intended that must be protected to the present invention
The limitation of scope.
As shown in figure 1, a kind of Engineering Structure Optimum method based on reliability of the present invention, it is adaptable to the optimization of following aspect
Design：
Should describe the shape of each structural elements in detail for the innovation and creation of engineering goods, between construction, part
Annexation, spatial relation, operation principle etc.；
For composition, annexation that electric equipment products should describe electric elements；
For the product without solid shape and structure, such as powdery or fluid product, chemicals, medicine should be described to be formulated, made
Make process conditions and technological process etc.；
For method invention, operating procedure, technological parameter etc. should be described；
Described in detail below by the optimum structure design method based on reliability of thin wall girder steel, specifically include following step
Suddenly：
1) simulation model of engineering structure is set up；Define the response of design variable, solver and system；
Hyperstudy software support various definitions design variables and corresponding solver and system response method, design
Person can according to need select suitable method to optimize analysis；
As shown in Figure 2：The simulation model of simple thin-walled steel gird is set up using Hypermesh softwares, beam left end is clamped, the right side
Power F straight down is born at end, chooses six configuration variables and a size variable of beam as parameter, respectively steel plate thickness
PSHELL Thickness, free end chamfer radius R1, clamped chamfer radius R2, free end cross-sectional width H1, clamped end section
Width H2, free end depth of section L1, free end depth of section L2, their span such as table 1.
The gross mass Mass of selection girder steel, the displacement Displacement straight down that numbering is 19021 nodes are (hereafter
In be reduced to Dis.) and the natural frequency of vibration Frequency (being hereinafter reduced to Fre.) of beam be system response, solver is
optistruct。
The span of the design variable of table 1
2) experimental design；
Experimental design is exactly the having of being done of Changing Pattern of effect in order to distinguish design variable and observation system response
The a series of experiments of the value of the change design variable of plan.In fact, experimental design process is exactly according to certain rule pair
Design variable assignment and computing system response, the process being then analyzed to result of calculation.Its major function is：
First, determine the influence coefficient (main effect) that design variable is responded to system, filter out main effect setting more than 75%
Meter variable, gives up the less design variable of main effect, reduces the dimension of object function, simplifies optimized mathematical model；
In the present embodiment, screening main effect should be 80% design variable, used as variable parameter.
2nd, the Changing Pattern of Study system response, sets up the relation of variable and response, is forecasting system response or approximate mould
Type provides data；
According to each design variable Thickness, R1、R2、H1、H2、L1、L2For mass M ass, displacement Dis. and self-vibration frequently
Rate Fre., filters out Thickness, the H of main effect larger (for example slope is more than 75%)2、L1、L2Continue as design variable
Optimize design.
In the prior art, because model is simple and the calculating time is shorter, omit approximate model process and directly optimize.
The Mathematical Modeling of deterministic Optimal Structure Designing is：
Seek design variable：
[X]={ Thickness, H2,L1,L2}T
Make object function：
Mass([X])→min
Meet constraint：
Dis.([X])≤0.015
Fre.([X])≥400
The system response of optimal design and the value of design variable are as shown in table 2.
The optimal solution of the deterministic Optimal Structure Designing of table 2
3) approximate model is set up；
Analysis experimental design the data obtained, using the response of the polynomial expression system of design variable, for predicting non-sight
The system of measuring point is corresponding；
4) design is optimized；
First for design variable selects random distribution, constraint and object function are set, computing is submitted to, the result for obtaining is several
The value of group design variable and its corresponding constraint and object function；The Mathematical Modeling of the Optimal Structure Designing based on reliability is：
Seek design variable
[X]={ Thickness, H2,L1,L2}T
Make object function
Mass([X])→min
Meet constraint
Prob(Dis.([X])≤0.015)≥Cj
Prob(Fre.([X])≥400)≥Dj
Wherein, CjThe span of constant is 90%-95%, C in the present embodimentjConstant is 90%；DjThe value model of constant
It is 95%-99% to enclose, D in the present embodimentjConstant is 99%.
The system response of the Optimal Structure Designing optimal solution based on reliability and the value of design variable are as shown in table 3.
Table 3 is based on the optimal solution of the Optimal Structure Designing of reliability
5), the random distribution to computing system response is analyzed；
The random distribution of design variable is defined first；The random distribution that system is responded is divided using statistical method
Analysis.
Assign model by the design variable value of two kinds of optimal designs as shown in table 2, table 3 carries out stochastic analysis respectively, counts
Reliability of structure is calculated, as a result as shown in table 4.
The reliability contrast of 4 two kinds of optimal solution resulting structures of table
A kind of Engineering Structure Analysis method based on reliability of the present invention, regards design parameter as design variable, systematically
Have studied the Optimum design of engineering structures method based on reliability, structure superior performance on the premise of high reliability, it is ensured that
Structure interior preferable security and durability during service life.
It is last it is to be noted that：The above embodiments are merely illustrative of the technical solutions of the present invention, rather than its limitations.To the greatest extent
Pipe has been described in detail to the present invention with reference to the foregoing embodiments, it will be understood by those within the art that：It is still
Technical scheme described in foregoing embodiments can be modified, or which part technical characteristic is equally replaced
Change；And these modifications or replacement, do not make the essence of the essence disengaging various embodiments of the present invention technical scheme of appropriate technical solution
God and scope.
Claims (4)
1. a kind of Engineering Structure Optimum method based on reliability, it is characterised in that comprise the following steps：
Step one, the simulation model for setting up engineering structure；
Step 2, definition design variable, solver and system response；
Step 3, experimental design；
A) the influence coefficient that design variable is responded to system, design variable of the screening main effect more than 75% are determined；
B) Changing Pattern responded according to system, sets up variable and corresponding relation, and data are provided to set up approximate model；
Step 4, set up approximate model；
Analysis experimental design the data obtained, using the response of the polynomial expression system of design variable, for predicting non-viewing point
System it is corresponding；
Step 5, optimize design；
C) first for design variable selects random distribution；
D) constraint and object function are set, computing is submitted to, the result for obtaining is array design variable and its corresponding constraint and mesh
The value of scalar functions；
Seek design variable：
[X]={ X1, X2,X3....Xn}T
Xi∈P
Make object function：
F([X])→min
Meet constraint：
ai≤xi≤biI=1,2..., n
Prob(Dis.([X])≤0.015)≥Cj
Prob(Fre.([X])≥400)≥Dj
J=1,2 ..., k
Wherein, P is probability distribution function, ai, biIt is i-th bound of design variable, n is the number of design variable；Cj、DjFor
Constant；
Step 6, the random distribution to computing system response are analyzed；
E) random distribution of design variable is defined；
F) random distribution that system is responded is analyzed using statistical method.
2. the Engineering Structure Optimum method based on reliability according to claim 1, it is characterised in that：The step 2
In, screening main effect should be 80% design variable.
3. the Engineering Structure Optimum method based on reliability according to claim 1, it is characterised in that：The step 5
In, the CjThe span of constant is 90%-95%.
4. the Engineering Structure Optimum method based on reliability according to claim 1, it is characterised in that：The step 5
In, the DjThe span of constant is 95%-99%.
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Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103136428A (en) * | 2013-03-12 | 2013-06-05 | 上海交通大学 | Vehicle body structure steady design method based two uncertain saloon cars |
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2017
- 2017-02-28 CN CN201710112571.8A patent/CN106934129A/en active Pending
Patent Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103136428A (en) * | 2013-03-12 | 2013-06-05 | 上海交通大学 | Vehicle body structure steady design method based two uncertain saloon cars |
Non-Patent Citations (1)
| Title |
|---|
| 朱凌宇: "基于可靠性的工程结构优化设计方法", 《飞机设计》 * |
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Application publication date: 20170707 |
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