CN107704700A - A kind of bionical negative poisson's ratio structure on-inflatable elastic wheel and its design method - Google Patents
A kind of bionical negative poisson's ratio structure on-inflatable elastic wheel and its design method Download PDFInfo
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- CN107704700A CN107704700A CN201710978072.7A CN201710978072A CN107704700A CN 107704700 A CN107704700 A CN 107704700A CN 201710978072 A CN201710978072 A CN 201710978072A CN 107704700 A CN107704700 A CN 107704700A
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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
- G06F30/15—Vehicle, aircraft or watercraft design
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B60—VEHICLES IN GENERAL
- B60C—VEHICLE TYRES; TYRE INFLATION; TYRE CHANGING; CONNECTING VALVES TO INFLATABLE ELASTIC BODIES IN GENERAL; DEVICES OR ARRANGEMENTS RELATED TO TYRES
- B60C7/00—Non-inflatable or solid tyres
Abstract
The invention discloses a kind of bionical negative poisson's ratio structure on-inflatable elastic wheel and its design method, negative poisson's ratio structure on-inflatable elastic wheel system is made up of car wheel covering, negative poisson's ratio structural elasticity supporter, spoke, interior wheel rim and outer rim.Its parameterized model is established according to the shape facility of negative poisson's ratio structure first, the response surface model of negative poisson's ratio structure is established using Latin hypercube experimental design method and response surface model, it is utilized respectively multi-objective particle circulation including outer circulation carries out multi-objective optimization design of power and radial direction base importance sampling technology and carries out fail-safe analysis, obtains the optimization reliability design solution of bionical negative poisson's ratio structure on-inflatable elastic wheel.The bionic principle that the present invention passes through skeletal muscle, make automotive wheel that there is more preferable rigidity and durability in emergency, and negative poisson's ratio structural parameters are optimized according to different applying working conditions, further strengthen the performance of bionical negative poisson's ratio structure on-inflatable elastic wheel.
Description
Technical field
The invention belongs to negative poisson's ratio structure design and non-aeration wheel design field, and in particular to a kind of bionical negative
Poisson's ratio structure on-inflatable elastic wheel and its design method.
Background technology
Because automobile flat tire produces very important influence for the security of automobile, therefore non-inflatable tyre has extensively
Application prospect.Non-inflatable tyre typically takes two kinds of different modes such as solid tyre and built-in supporter tire.Solid wheel
Mold has the advantages that bearing capacity is strong, environment adapts to strong and good endurance, but there is weight is too heavy, not easy heat radiation and oil consumption
The shortcomings of higher, so as to influence its promoting the use of in non-inflatable tyre.Built-in supporter tire is typically in pneumatic tire
Built-in metal and rubber body, tire cause air pressure to reduce rear supports rapidly preferably to support vehicle due to blowing out
Weight, but it is larger there is weight and be not easy reduce and production cost it is too high the problem of.
Negative poisson's ratio structure is producing contraction when receiving compression on external force direction, when being stretched vertical
In producing expansion on the direction of external force, due to this novel characteristics, the power such as the modulus of shearing and resistance to indentation of negative poisson's ratio material
Performance is learned to be strengthened, and negative poisson's ratio structure is being shown rigidity enhancing characteristic by the region compressed, these characteristics make
Its is of great interest.It is non-that patent " 201110401962.4 " proposes a kind of ultra-light-weight based on negative poisson's ratio structure
Pneumatic tire structure, change the weight that method greatly reducing non-inflatable tyre, the vapour of configuration non-inflatable tyre can be substantially reduced
The weight of car and oil consumption are horizontal.Although the negative poisson's ratio structure non-inflatable tyre achieves significantly in lightweight and application aspect
It is progressive, but still easily produce stress concentration in the junction of elementary cell with the aspect that need to improve, such as negative poisson's ratio structure
So as to cause the durability of non-inflatable tyre and reliability poor, by its performance in actual use of large effect,
Non-inflatable tyre structure is excessively complicated simultaneously, complex manufacturing and cost is higher, therefore the property such as a kind of durability and reliability
Can the non-inflatable tyre of more excellent, structure and simple production process seem very crucial.
The content of the invention
Goal of the invention：It is an object of the invention to solve traditional non-pneumatic support structure in the prior art it is overweight cause it is whole
Car control stability difference and oil consumption it is big the problems such as and overcome general negative poisson's ratio structure non-pneumatic support body easily substantially single
The junction of member produces the deficiencies of stress concentration is so as to cause the durability of non-inflatable tyre and poor reliability, it is proposed that a kind of
Bionical negative poisson's ratio structure on-inflatable elastic wheel and its design method, it can be widely applied to the non-pneumatic wheel of different purposes automobiles
In tire design.
Technical scheme：To achieve the above object, the technical solution adopted by the present invention is：
A kind of bionical negative poisson's ratio structure on-inflatable elastic wheel, including car wheel covering, bionical negative poisson's ratio structural elasticity
Supporter, spoke, interior wheel rim and outer rim, the bionical negative poisson's ratio structural elasticity supporter is in hollow cylindrical structure, interior
Portion includes some resilient support cell walls and elastic connection cell wall, and the cell wall that flexibly supports is along tire radial direction uniform intervals pair
Claiming to set, the adjacent spacing of the resilient support cell wall of N+1 layers is the half of the adjacent spacing of the resilient support cell wall of n-th layer,
Wherein N >=1；The elastic connection cell wall connects two adjacent resilient support cell walls, adjacent two elasticity branch in annular shape
The elastic connection cell wall supportted between cell wall is recessed along center line, flexibly supports cell wall and the tool of elastic connection cell wall composition circular symmetric
There is the negative poisson's ratio structure of concave shape, and inner concave shape negative poisson's ratio structure is outwards arranged layer by layer along tire radial direction in divergent shape
Row, the inner concave shape negative poisson's ratio structure close to outer rim is more than close to the inner concave shape negative poisson's ratio physical dimension of interior wheel rim；
Bionical negative poisson's ratio structural elasticity supporter is inside connected with interior wheel rim and outer rim respectively with outside, interior wheel rim
It is connected simultaneously with spoke, outer rim links together with car wheel covering.
Further, circumferentially uniform intervals are symmetrical arranged resilient support cell wall, and elastic connection cell wall crosses through elasticity
Support cell wall connection；The elastic connection cell wall outwards arranges layer by layer along tire radial direction in divergent shape, every layer of height phase
Together, either it is incremented by or successively decreases in succession.
Further, the matrix material for flexibly supporting cell wall and elastic connection cell wall is aluminium, steel, alloy, ceramics, rubber and
Any one in resin and plastic.
Further, bionical negative poisson's ratio structural elasticity supporter, which uses, includes welding, 3D printing and the system in being bonded in
Technique is made to be produced.
The design method of above-mentioned bionical negative poisson's ratio structure on-inflatable elastic wheel, basis first in structured design process
The shape facility of negative poisson's ratio structure establishes its parameterized model, then utilizes Latin hypercube experimental design method and response surface
Model establishes the response surface model of negative poisson's ratio structure, is utilized respectively multi-objective particle and carries out more mesh in outer circulation
Mark optimization design and radial direction base importance sampling technology circulates carry out fail-safe analysis inside, so as to obtain bionical negative poisson's ratio knot
The optimization reliability design solution of structure on-inflatable elastic wheel；Specifically include following steps：
1) parameterized model of bionical negative poisson's ratio structural elasticity supporter is established；
2) the hybrid analysis model of bionical negative poisson's ratio structure on-inflatable elastic wheel is established；
3) the multi-state multi objective reliability analysis model of bionical negative poisson's ratio structure on-inflatable elastic wheel is established；
4) the approximate analysis model of bionical negative poisson's ratio structure on-inflatable elastic wheel is established；
5) multi objective reliability optimization design is carried out to bionical negative poisson's ratio structure on-inflatable elastic wheel；
6) the optimal multi objective reliability design solution of bionical negative poisson's ratio structure on-inflatable elastic wheel is chosen, in the 5) step
Multi objective reliability optimization design disaggregation is obtained, therefore bionical negative poisson's ratio knot is chosen using optimal solution satisfactory function S
The optimal multi objective reliability design solution of structure on-inflatable elastic wheel, optimal solution satisfactory function are as follows：
Wherein, ObjiFor i-th of design object in multi-objective optimization design of power, t is that the target of multi-objective optimization design of power is total
Number, Obji,maxThe maximum in i-th of design object, Obj are concentrated for multi objective reliability solutioni,minFor multi objective reliability solution
Concentrate the minimum value in the design object.
Further, step 1) establishes the specific method of the parameterized model of bionical negative poisson's ratio structural elasticity supporter
For：Choose negative poisson's ratio structure level number, negative poisson's ratio structural base member number, resilient support wall thickness, resilient support cell wall
Length, resilient support cell wall width, elastic connection wall thickness, elastic connection cell wall length, elastic connection cell wall width and bullet
Property support cell wall and elastic connection cell wall angle be used as design parameter, utilize the relation generation between parameter to imitate in MATLAB
The parameterized model of raw negative poisson's ratio structural elasticity supporter.
Further, step 2) establishes the specific of the hybrid analysis model of bionical negative poisson's ratio structure on-inflatable elastic wheel
Method is：Establish the finite element analysis mould of car wheel covering, spoke, interior wheel rim and outer rim respectively in finite-element preprocessing software
Type, then by the 1) bionical negative poisson's ratio structural elasticity supporter parameterized model that step is established merge with it, can so as to establish
Bionical negative poisson's ratio structure on-inflatable elastic wheel hybrid analysis model for different operating mode finite element analyses.
Further, step 3) establishes the specific of the approximate analysis model of bionical negative poisson's ratio structure on-inflatable elastic wheel
Method is：The sample point needed for experimental design is generated using Latin hypercube experimental design method first, to consider design ginseng
Several probabilistic influences, outer circulation array generate m sample point, and interior circulation array generates n sample point, so by dividing
Not Jie He the sample point of inner-outer circulation array will produce m*n sample point；Then established using response surface model method bionical
The finite element approximate analysis model of negative poisson's ratio structure on-inflatable elastic wheel.
Further, step 4) establishes the multi-state multi objective reliability of bionical negative poisson's ratio structure on-inflatable elastic wheel
The specific method of analysis model is：For lightweight, durability and the smooth-going of bionical negative poisson's ratio structure on-inflatable elastic wheel
Three different design objects such as property, considering bionical negative poisson's ratio structure on-inflatable elastic wheel application actually makes
Most common several typical conditions during including idling, acceleration and deceleration, and in analytical structure design process not
With the constraint of factor, so as to establish the multi-state multi objective reliability point of bionical negative poisson's ratio structure on-inflatable elastic wheel
Analyse model.
Further, step 5) is set to the progress multi objective reliability optimization of bionical negative poisson's ratio structure on-inflatable elastic wheel
The specific method of meter is：By using multi-objective particle bionical negative poisson's ratio structure on-inflatable is carried out in outer circulation
Elastic wheel multi-objective optimization design of power, and circulate the reliability for carrying out structure design inside using radial direction base importance sampling technology
Analysis, it is hereby achieved that the multi objective reliability optimization design of bionical negative poisson's ratio structure on-inflatable elastic wheel structure design
Disaggregation.
Beneficial effect：A kind of bionical negative poisson's ratio structure on-inflatable elastic wheel provided by the invention and its design method,
Compared with prior art, have the advantage that：
1st, a kind of bionical negative poisson's ratio structure on-inflatable elastic wheel is proposed by using for reference the bionics principle of skeletal muscle,
The negative poisson's ratio structure branch with certain concave shape of circular symmetric is formed by flexibly supporting cell wall and elastic connection cell wall
Support body, make non-pneumatic support body that there is ultralight structure so as to improve overall control stability and reduce oil consumption, and pass through
The Bionic Design of structure, make bionical negative poisson's ratio structural support that there is more preferable toughness and durability；
2nd, the multi objective reliability Optimization Design of bionical negative poisson's ratio structure on-inflatable elastic wheel is proposed, is passed through
The bionical negative poisson's ratio structure on-inflatable elastic wheel parameterized model of integrated application, Latin Hypercube Sampling method, response surface are near
Like model, radial direction base importance sampling technology and multi-objective particle and according to different applying working conditions to negative poisson's ratio
Structural parameters optimize, so as to obtain the optimization reliability design solution of bionical negative poisson's ratio structure on-inflatable elastic wheel,
So as to further strengthen the performance such as lightweight and durability.
Brief description of the drawings
Fig. 1 is the bionical negative poisson's ratio structure on-inflatable elastic wheel schematic diagram of the present invention.
Fig. 2 is the schematic diagram of bionical negative poisson's ratio structural elasticity supporter.
Fig. 3 is the multi objective reliability Optimization design principle figure of the present invention.
In Fig. 1,1 is bionical negative poisson's ratio structural elasticity supporter, and 2 be interior wheel rim, and 3 be outer rim, and 4 be spoke, and 5 be car
Cover tire is taken turns, 6 be resilient support cell wall in Fig. 2, and 7 be elastic connection cell wall.
Embodiment
The present invention is non-for a kind of bionical negative poisson's ratio structure on-inflatable elastic wheel and its design method, negative poisson's ratio structure
Inflatable elastic wheel system is made up of car wheel covering, negative poisson's ratio structural elasticity supporter, spoke, interior wheel rim and outer rim.Root
Negative poisson's ratio planform is designed according to skeletal muscle, negative poisson's ratio structure filling structure includes resilient support cell wall and elasticity
Cell wall is connected, wherein the negative Poisson with certain concave shape of resilient support cell wall and elastic connection cell wall composition circular symmetric
Compare structure.Similar to bone, resilient support cell wall makes negative poisson's ratio structure have the rigidity added；Similar to the flesh of skeletal muscle
Tendon, elastic connection cell wall make negative poisson's ratio structure have more preferable toughness and durability.First according to negative in structured design process
The shape facility of Poisson's ratio structure establishes its parameterized model, then utilizes Latin hypercube experimental design method and response face mould
Type establishes the response surface model of negative poisson's ratio structure, is utilized respectively multi-objective particle and carries out multiple target in outer circulation
Optimization design and radial direction base importance sampling technology circulate inside carries out fail-safe analysis, so as to obtain bionical negative poisson's ratio structure
The optimization reliability design solution of on-inflatable elastic wheel.It is a kind of annular right that the present invention is proposed by the bionic principle of skeletal muscle
Claim bionical negative poisson's ratio structure on-inflatable elastic wheel, can make automotive wheel have in emergency more preferable rigidity and
Durability, and negative poisson's ratio structural parameters are optimized according to different applying working conditions, so as to further strengthen bionical negative pool
Performance of the pine than structure on-inflatable elastic wheel.
The present invention is further described below in conjunction with the accompanying drawings.
Embodiment
According to following embodiments, the present invention can be better understood from.It is however, as it will be easily appreciated by one skilled in the art that real
Apply specific material proportion, process conditions and its result described by example and be merely to illustrate the present invention, without that will not also should limit
The present invention described in detail in claims processed.
As shown in figure 1, the present invention develops a kind of bionical negative poisson's ratio structure on-inflatable elastic wheel, including outside wheel
Tire, bionical negative poisson's ratio structural elasticity supporter, spoke, interior wheel rim and outer rim.As shown in Fig. 2 bionical negative poisson's ratio structure
Elastic support includes resilient support cell wall and elastic connection cell wall, flexibly supports cell wall and elastic connection cell wall composition annular is right
The negative poisson's ratio structure with certain concave shape claimed, and inner concave shape negative poisson's ratio structure is in outwards hair along tire radial direction
Bulk is arranged layer by layer, and the inner concave shape negative poisson's ratio close to outer rim is more than close to the inner concave shape negative poisson's ratio physical dimension of interior wheel rim
Structure.Bionical negative poisson's ratio structural elasticity supporter is inside connected with interior wheel rim and outer rim respectively with outside, and interior wheel rim is same
When be connected with spoke, outer rim links together with car wheel covering.Flexibly support the matrix material of cell wall and elastic connection cell wall
Can be the different material such as aluminium, steel, alloy, ceramics, rubber and resin and plastic, according to vehicle weight and operating mode in design process
Selected.Bionical negative poisson's ratio structural elasticity supporter can use the different manufacturing process such as welding, 3D printing and bonding
Produced.
Fig. 3 show the design method flow chart of the present invention.
Step 1)：The parameterized model of bionical negative poisson's ratio structural elasticity supporter is initially set up in design process.It is bionical
Negative poisson's ratio structural elasticity supporter circular symmetric, therefore only need to first establish when establishing parameterized model elementary cell
Parameterized model, the ginseng of whole negative poisson's ratio structural elasticity supporter then can be generated according to certain rules rotating certain angle
Numberization model.In design process, negative poisson's ratio structure level number, negative poisson's ratio structural base member number, resilient support cell wall are chosen
Thickness, resilient support cell wall length, resilient support cell wall width, elastic connection wall thickness, elastic connection cell wall length, elasticity
Connect cell wall width and flexibly support cell wall with the angle of elastic connection cell wall as design parameter, parameter is utilized in MATLAB
Between relation generate the parameterized model of bionical negative poisson's ratio structural elasticity supporter.
Step 2)：Establish the limited of car wheel covering, spoke, interior wheel rim and outer rim respectively in finite-element preprocessing software
Element analysis model, then by the 1) bionical negative poisson's ratio structural elasticity supporter parameterized model that step is established merge with it, from
And establish the bionical negative poisson's ratio structure on-inflatable elastic wheel hybrid analysis model available for different operating mode finite element analyses.
Step 3)：Establish the approximate analysis model of bionical negative poisson's ratio structure on-inflatable elastic wheel.It is super vertical using Latin
Square experimental design method generates the sample point needed for experimental design, to consider the probabilistic influence of design parameter, follows outside
Number of rings group generates 150 sample points, and interior circulation array generates 4 sample points, so by respectively in connection with inner-outer circulation array
Sample point will produce 600 sample points.Then bionical negative poisson's ratio structure on-inflatable bullet is established using response surface model method
Property wheel finite element approximate analysis model, so as to reduce calculate cost and improve computational efficiency.
Step 4)：Establish the multi-state multi objective reliability analysis mould of bionical negative poisson's ratio structure on-inflatable elastic wheel
Type.Two design objects such as lightweight and durability for bionical negative poisson's ratio structure on-inflatable elastic wheel, consider
Bionical negative poisson's ratio structure on-inflatable elastic wheel application several typical conditions most common in actual use, and
The constraint of different factors in analytical structure design process, so as to establish bionical negative poisson's ratio structure on-inflatable elastic wheel
Multi-state multi objective reliability analysis model.
Step 5)：Multi objective reliability optimization design is carried out to bionical negative poisson's ratio structure on-inflatable elastic wheel and is chosen
Optimal multi objective reliability design solution.By using multi-objective particle bionical negative poisson's ratio knot is carried out in outer circulation
Structure on-inflatable elastic wheel multi-objective optimization design of power, and circulated inside using radial direction base importance sampling technology and carry out structure design
Fail-safe analysis, it is hereby achieved that the multi objective reliability of bionical negative poisson's ratio structure on-inflatable elastic wheel structure design
Optimization design disaggregation.Obtained multi objective reliability optimization design disaggregation be 38 groups, therefore using optimal solution satisfactory function come
Choose the optimal multi objective reliability design solution of bionical negative poisson's ratio structure on-inflatable elastic wheel：
Wherein, D is durability Design target, and maximum stress value in the structure corresponding to every group of design solution represents, Dmin
For 212MPa, DmaxFor 268MPa；M is light-weight design target, and the gross weight of structure corresponding to every group of design solution represents,
MminFor 5.61kg, MmaxFor 7.24kg, the D of optimal design solution is 234MPa, M 6.48kg, the excellent solution extent function tried to achieve
It is worth for 0.93.Concentrate obtained extent function minimum because the extent function value that this group of solution obtains is all design solutions,
Because this group of multi objective reliability optimal design parameter is used as optimal solution during design.
Described above is only the preferred embodiment of the present invention, it should be pointed out that：For the ordinary skill people of the art
For member, under the premise without departing from the principles of the invention, some improvements and modifications can also be made, these improvements and modifications also should
It is considered as protection scope of the present invention.
Claims (10)
- A kind of 1. bionical negative poisson's ratio structure on-inflatable elastic wheel, it is characterised in that：Including car wheel covering (5), bionical negative pool Pine is than structural elasticity supporter (1), spoke (4), interior wheel rim (2) and outer rim (3), the bionical negative poisson's ratio structural elasticity branch Support body (1) is in hollow cylindrical structure, and inside includes some resilient support cell walls (6) and elastic connection cell wall (7), the elasticity Support cell wall (6) is symmetrical arranged along tire radial direction uniform intervals, the adjacent spacing of the resilient support cell wall (6) of N+1 layers For the half of the adjacent spacing of the resilient support cell wall of n-th layer, wherein N >=1；The elastic connection cell wall (7) connects in annular shape Connect two adjacent resilient support cell walls (6), adjacent two elastic connection cell wall (7) edges flexibly supported between cell walls (6) Center line is recessed, the negative poisson's ratio with concave shape of resilient support cell wall (6) and elastic connection cell wall (7) composition circular symmetric Structure, and inner concave shape negative poisson's ratio structure outwards arranges layer by layer along tire radial direction in divergent shape, close to the interior of interior wheel rim (2) Matrix negative poisson's ratio physical dimension is more than the inner concave shape negative poisson's ratio structure close to outer rim (3)；Bionical negative poisson's ratio structural elasticity supporter (1) is inside connected with interior wheel rim (2) and outer rim (3) respectively with outside, Interior wheel rim (2) while it is connected with spoke (4), outer rim (3) links together with car wheel covering (5).
- 2. bionical negative poisson's ratio structure on-inflatable elastic wheel according to claim 1, it is characterised in that：Flexibly support born of the same parents Circumferentially uniform intervals are symmetrical arranged wall (6), and elastic connection cell wall (7) crosses through resilient support cell wall (6) connection；The bullet Property connection cell wall (7) outwards arranged layer by layer in divergent shape along tire radial direction, every layer of height is identical, or in succession incrementally or Person successively decreases.
- 3. bionical negative poisson's ratio structure on-inflatable elastic wheel according to claim 1, it is characterised in that：Flexibly support born of the same parents The matrix material of wall (6) and elastic connection cell wall (7) is any one in aluminium, steel, alloy, ceramics, rubber and resin and plastic.
- 4. bionical negative poisson's ratio structure on-inflatable elastic wheel according to claim 1, it is characterised in that：Bionical negative Poisson Produced than structural elasticity supporter (1) using including welding, 3D printing and be bonded in interior manufacturing process.
- 5. the design method of bionical negative poisson's ratio structure on-inflatable elastic wheel according to claim 1, it is characterised in that： Its parameterized model is established according to the shape facility of negative poisson's ratio structure first in structured design process, it is then super vertical using Latin Square experimental design method and response surface model establish the response surface model of negative poisson's ratio structure, and it is excellent to be utilized respectively multi-objective particle swarm Change algorithm circulation including outer circulation carries out multi-objective optimization design of power and radial direction base importance sampling technology and carry out fail-safe analysis, So as to obtain the optimization reliability design solution of bionical negative poisson's ratio structure on-inflatable elastic wheel；Specifically include following steps：1) parameterized model of bionical negative poisson's ratio structural elasticity supporter is established；2) the hybrid analysis model of bionical negative poisson's ratio structure on-inflatable elastic wheel is established；3) the multi-state multi objective reliability analysis model of bionical negative poisson's ratio structure on-inflatable elastic wheel is established；4) the approximate analysis model of bionical negative poisson's ratio structure on-inflatable elastic wheel is established；5) multi objective reliability optimization design is carried out to bionical negative poisson's ratio structure on-inflatable elastic wheel；6) the optimal multi objective reliability design solution of bionical negative poisson's ratio structure on-inflatable elastic wheel is chosen, is obtained in the 5) step Multi objective reliability optimization design disaggregation, therefore it is non-to choose using optimal solution satisfactory function S bionical negative poisson's ratio structure The optimal multi objective reliability design solution of inflatable elastic wheel, optimal solution satisfactory function are as follows：<mrow> <mi>S</mi> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>t</mi> </munderover> <mfrac> <mrow> <msub> <mi>Obj</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>Obj</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>min</mi> </mrow> </msub> </mrow> <mrow> <msub> <mi>Obj</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>max</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>Obj</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>min</mi> </mrow> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>Wherein, ObjiFor i-th of design object in multi-objective optimization design of power, t is the target sum of multi-objective optimization design of power, Obji,maxThe maximum in i-th of design object, Obj are concentrated for multi objective reliability solutioni,minConcentrated for multi objective reliability solution Minimum value in the design object.
- 6. the design method of bionical negative poisson's ratio structure on-inflatable elastic wheel according to claim 5, it is characterised in that： The specific method that step 1) establishes the parameterized model of bionical negative poisson's ratio structural elasticity supporter is：Choose negative poisson's ratio structure The number of plies, negative poisson's ratio structural base member number, resilient support wall thickness, resilient support cell wall length, resilient support cell wall are wide Degree, elastic connection wall thickness, elastic connection cell wall length, elastic connection cell wall width and resilient support cell wall and elastic connection The angle of cell wall utilizes the relation between parameter to generate bionical negative poisson's ratio structural elasticity branch as design parameter in MATLAB The parameterized model of support body.
- 7. the design method of bionical negative poisson's ratio structure on-inflatable elastic wheel according to claim 5, it is characterised in that： The specific method that step 2) establishes the hybrid analysis model of bionical negative poisson's ratio structure on-inflatable elastic wheel is：Before finite element Establish the finite element analysis model of car wheel covering, spoke, interior wheel rim and outer rim respectively in processing software, then by the 1) step build Vertical bionical negative poisson's ratio structural elasticity supporter parameterized model merges with it, so as to establish available for different operating mode finite elements The bionical negative poisson's ratio structure on-inflatable elastic wheel hybrid analysis model of analysis.
- 8. the design method of bionical negative poisson's ratio structure on-inflatable elastic wheel according to claim 5, it is characterised in that： The specific method that step 3) establishes the approximate analysis model of bionical negative poisson's ratio structure on-inflatable elastic wheel is：Application is drawn first Fourth hypercube experimental design method generates the sample point needed for experimental design, to consider the probabilistic shadow of design parameter Ring, outer circulation array generates m sample point, and interior circulation array generates n sample point, so by respectively in connection with inner-outer circulation number The sample point of group will produce m*n sample point；Then establish that bionical negative poisson's ratio structure is non-to fill using response surface model method The finite element approximate analysis model of gas elastic wheel.
- 9. the design method of bionical negative poisson's ratio structure on-inflatable elastic wheel according to claim 5, it is characterised in that： Step 4) establishes the specific side of the multi-state multi objective reliability analysis model of bionical negative poisson's ratio structure on-inflatable elastic wheel Method is：Lightweight, durability and ride comfort for bionical negative poisson's ratio structure on-inflatable elastic wheel etc. three is different to be set Target is counted, considers bionical negative poisson's ratio structure on-inflatable elastic wheel application in actual use including idle Speed, accelerate and slow down including most common several typical conditions, and in analytical structure design process different factors constraint because Element, so as to establish the multi-state multi objective reliability analysis model of bionical negative poisson's ratio structure on-inflatable elastic wheel.
- 10. the design method of bionical negative poisson's ratio structure on-inflatable elastic wheel according to claim 5, its feature exist In：Step 5) carries out the specific method of multi objective reliability optimization design to bionical negative poisson's ratio structure on-inflatable elastic wheel For：By using multi-objective particle the more mesh of bionical negative poisson's ratio structure on-inflatable elastic wheel are carried out in outer circulation Optimization design is marked, and circulates the fail-safe analysis for carrying out structure design inside using radial direction base importance sampling technology, so as to To obtain the multi objective reliability optimization design disaggregation of bionical negative poisson's ratio structure on-inflatable elastic wheel structure design.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110341615A (en) * | 2019-06-17 | 2019-10-18 | 南京航空航天大学 | The dual bionical automobile chassis guard system of one kind and its design method |
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