CN106184085A - A kind of closed loop negative poisson's ratio construction car security system and method for designing - Google Patents
A kind of closed loop negative poisson's ratio construction car security system and method for designing Download PDFInfo
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- CN106184085A CN106184085A CN201610507032.XA CN201610507032A CN106184085A CN 106184085 A CN106184085 A CN 106184085A CN 201610507032 A CN201610507032 A CN 201610507032A CN 106184085 A CN106184085 A CN 106184085A
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- negative poisson
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- absorption box
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Classifications
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B60—VEHICLES IN GENERAL
- B60R—VEHICLES, VEHICLE FITTINGS, OR VEHICLE PARTS, NOT OTHERWISE PROVIDED FOR
- B60R19/00—Wheel guards; Radiator guards, e.g. grilles; Obstruction removers; Fittings damping bouncing force in collisions
- B60R19/02—Bumpers, i.e. impact receiving or absorbing members for protecting vehicles or fending off blows from other vehicles or objects
- B60R19/18—Bumpers, i.e. impact receiving or absorbing members for protecting vehicles or fending off blows from other vehicles or objects characterised by the cross-section; Means within the bumper to absorb impact
-
- 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
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
-
- 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
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B60—VEHICLES IN GENERAL
- B60R—VEHICLES, VEHICLE FITTINGS, OR VEHICLE PARTS, NOT OTHERWISE PROVIDED FOR
- B60R19/00—Wheel guards; Radiator guards, e.g. grilles; Obstruction removers; Fittings damping bouncing force in collisions
- B60R19/02—Bumpers, i.e. impact receiving or absorbing members for protecting vehicles or fending off blows from other vehicles or objects
- B60R19/18—Bumpers, i.e. impact receiving or absorbing members for protecting vehicles or fending off blows from other vehicles or objects characterised by the cross-section; Means within the bumper to absorb impact
- B60R2019/186—Additional energy absorbing means supported on bumber beams, e.g. cellular structures or material
Abstract
The invention discloses a kind of closed loop negative poisson's ratio construction car security system and method for designing, including the closed loop frame structure being mutually in turn connected to form by front bumper, left energy-absorption box, rear bumper and right energy-absorption box head and the tail two ends;Forward and backward bumper is the forward and backward bumper beam being internally provided with negative poisson's ratio structure filling inner core, and left and right energy-absorption box is the left and right energy-absorption box longeron being internally provided with negative poisson's ratio structure filling inner core.Initially setting up bumper beam and the parameterized model of negative poisson's ratio structure filling inner core, use in combination with Latin hypercube and response phase method sets up its approximate model, application multi-objective optimization algorithm also carries out multi-objective optimization design of power for its crash-worthiness and lightweight.The present invention, by closed loop design and the excellent EAC utilizing negative poisson's ratio structure, improves energy absorption and the buffer capacity of structure in the collision process of automobile, strengthens automobile and to occupant and the protection of pedestrian and reduces the collision destruction to car body.
Description
Technical field
The invention belongs to vehicle passive safety technical field, being specifically related to a kind of closed loop negative poisson's ratio construction car is safely
System and method for designing.
Background technology
Improve the key link that automobile passive safety in head-on crash is Automobile Design.Front at automobile
In collision, the bumper assembly of bumper and energy-absorption box composition is participated the most at first, and when automobile is with the collision of pedestrian,
Bumper assembly occurs directly to contact with human body, causes pedestrian injury.Therefore the quality of bumper assembly design is for automobile
Passive safety and pedestrian protecting are significant.
Bumper system for vehicles in automobile collision procedure by plastic buckling absorb energy thus alleviate collision to occupant,
Pedestrian and the injury of car body key components and parts.Orthodox car bumper and energy-absorption box are concentrated mainly on and directly use traditional circle
Shape, the square and component of square-section, energy-absorbing effect is poor, it is impossible to well produce protective effect.Automotive research mechanism and production
Producer to size, the shape of section of part, lure the size and location of groove, the kind of panel beating and thickness etc. to be optimized, make
The performance of structure is obviously improved.But due to the restriction that design space is less, still suffer from bumper system for vehicles and touching
The problem that the energy absorbed during hitting is limited in one's ability with buffering, it is impossible to well occupant and pedestrian protected and reduce
The collision destruction to car body key components and parts.
Summary of the invention
Goal of the invention: in order to overcome the deficiencies in the prior art, the present invention provides a kind of closed loop negative poisson's ratio structure
Automobile safety system and method for designing, overcome energy that in prior art, bumper assembly absorbs in automobile collision procedure and
Buffer capacity is limited, it is impossible to protects the deficiencies such as occupant, pedestrian and car body key components and parts very well, can be widely applied to tradition and electricity
In the design of electrical automobile bumper assembly.
Technical scheme: for achieving the above object, the technical solution used in the present invention is:
A kind of closed loop negative poisson's ratio construction car security system, including by front bumper, left energy-absorption box, rear bumper and the right side
The closed loop frame structure that the head and the tail two ends of energy-absorption box are mutually in turn connected to form;Wherein, described front bumper, rear bumper are respectively
Front bumper beam and the post-bumper beam of negative poisson's ratio structure filling inner core, described left energy-absorbing all it is evenly arranged with for inside
Box, right energy-absorption box are respectively inside and are all evenly arranged with the left energy-absorption box longeron of negative poisson's ratio structure filling inner core and right energy-absorption box
Longeron.
Further, described front bumper beam, post-bumper beam, left energy-absorption box longeron and right energy-absorption box longeron are
Cylindricality hollow-core construction;Wherein, described front bumper beam has the crooked radian identical with body structure;Described rear bumper is horizontal
Beam, left energy-absorption box longeron and right energy-absorption box longeron are linear structure, and outside is respectively provided with cover plate.Front bumper beam actual production
In be usually overall, there is no cover plate.
Further, in described closed loop frame structure, left energy-absorption box longeron (3) and front bumper beam (1), rear bumper
Crossbeam (8) is bolted together, and right energy-absorption box longeron (11) is led to front bumper beam (1), post-bumper beam (8)
Cross and be bolted together.
Further, described negative poisson's ratio structure filling inner core is heavy in three different directions by negative poisson's ratio structure cellular
Rearranging again, the matrix material of negative poisson's ratio structure cellular is: the one of which material including aluminum, steel, plastics, or two
Plant and the mixture of two or more composition.The matrix material of negative poisson's ratio structure cellular according to different application can be aluminum, steel,
The material that plastics etc. are different.
The method for designing of a kind of closed loop negative poisson's ratio construction car security system, comprises the following steps:
1) Bezier curve is utilized to generate the parameterized model of the front bumper beam with crooked radian;
2) form parameter choosing negative poisson's ratio structure sets up the ginseng of negative poisson's ratio structure filling inner core as design variable
Numberization model;
3) utilize energy-absorption box FEM (finite element) model to set up left energy-absorption box and the parameterized model of right energy-absorption box respectively, pass through parameter
Change model and realize the quick change of energy-absorption box design variable;
4) negative poisson's ratio construction car security system parameterized model, optimal Latin hypercube experimental design method and response are combined
Face method sets up the response surface model of negative poisson's ratio construction car security system;Described negative poisson's ratio construction car security system parameter
Change model by described step 1), 2), 3) in parameterized model assemble;
5) use NSGA-II multi-objective genetic algorithm that described negative poisson's ratio construction car security system response surface model is entered
Row multiple-objection optimization;
6) choose negative poisson's ratio construction car security system optimal design and verify.
Further, described step 1) in n rank Bezier curve parametric form such as:
Set point P0、P1、…、Pn, wherein P0、PnFor end points, P1、P2…、Pn-1For control point;
WithRepresent by a P0、P1、…、PnThe Bezier curve determined, uses recursion to be expressed as:
The Bezier curve on i.e. n rank is the interpolation of two n-1 rank Bezier curve.
Further, described step 2) in, the form parameter of negative poisson's ratio structure includes the born of the same parents of negative poisson's ratio structure cellular
Angle between wall, the thickness of cell wall, the length of cell wall, the width of cell wall.
Further, described step 4) in, in negative poisson's ratio construction car security system response surface model dependent variable Y and from
Meeting Y=F (X) between variable X, wherein X is that n ties up independent design variable, X=[x1,x2,…,xn];
Use response surface model to approximate above-mentioned functional relationship to have: Y=F (X) '+ε, F (X) ' are the response letters about variable X
Number, ε is the random error between approximation and actual value, and ε obeys (0, ε2) standard normal distribution;
Negative poisson's ratio construction car security system second-order response surface model representation is as follows:
Wherein, a, b, c, d are 4 unknowm coefficients in second-order response surface model, by making between assay value and approximation
Error minimum determine a, the value of b, c, d.
Further, described step 5) in, NSGA-II multi-objective genetic algorithm uses and achieves concept, is simultaneously directed crowded
Distance and the method for crowding distance sequence, without loss of generality, the mathematical model of multi-objective optimization question is described as:
Wherein, M is the sum of sub-goal function, fmX () is m-th sub-goal function;I is the sum of inequality constraints, gi
X () is i-th inequality constraints condition;J is the sum of equality constraint, HjX () is jth equality constraint;N becomes for design
The sum of amount, XkFor kth design variable, Xk (L)And Xk (U)It is respectively lower limit and the upper limit of kth design variable value.
Further, described step 6) in, defining extent function C such as following formula, the least then solution of satisfaction is the most excellent:
In formula, 1/Emax、1/EminFor object function Systemic absorption Energy maximum value and minima in Pareto optimal solution set
Inverse;mmax、mminFor the maximum of object function architecture quality in Pareto optimal solution set and minima.
Beneficial effect: a kind of closed loop negative poisson's ratio construction car security system of present invention offer and method for designing, with existing
There is technology to compare, the invention has the beneficial effects as follows:
1, in bumper, energy-absorption box, add negative poisson's ratio structure filling inner core, determine negative pool according to the shape of structure
Pine is than structure unit number in different directions, and front bumper, rear bumper, left energy-absorption box, right energy-absorption box constitute one simultaneously
The bumper assembly of individual closed loop, and negative poisson's ratio structure filling inner core also constitutes a closed-loop structure.Touch in the front of automobile
Utilize negative poisson's ratio structure filling inner core and closed-loop structure preferably absorb and transmit collision energy in hitting, significantly improve automobile pair
In occupant, pedestrian and the protection of car body key components and parts, and structural reliability is higher relatively low becomes to produce cost with having.
2, change according to the radian of bumper, the parameters relationship of negative poisson's ratio structure cellular establishes bumper, suction respectively
Can box, the parameterized model of negative poisson's ratio structure filling inner core, and three parameterized models be effectively combined into closed loop bear Poisson
Parameterized model than construction car security system.Systematic parameter model and optimal Latin hypercube experimental design method, response surface
Model and multi-objective genetic algorithm have carried out effective combination, can realize closed loop negative poisson's ratio according to different vehicles and design object
The quick design of construction car security system, improves the passive safety of automobile, it is achieved farthest protection occupant and pedestrian
And reduce the collision destruction to car body key components and parts.
Accompanying drawing explanation
Fig. 1 is that closed loop negative poisson's ratio construction car security system of the present invention arranges schematic diagram;
Fig. 2 is star-like negative poisson's ratio structure cellular design diagram;
Fig. 3 is cube Bezier curve schematic diagram;
Fig. 4 is the closed loop negative poisson's ratio construction car security system design schematic diagram of the present invention.
In Fig. 1,1 be front bumper beam, 2 for front bumper negative poisson's ratio structure filling inner core, 3 for left energy-absorption box indulge
Beam, 4 be left energy-absorption box cover plate, 5 be left energy-absorption box negative poisson's ratio structure filling inner core, 11 be right energy-absorption box longeron, 9 for right energy-absorbing
Lid plate, 10 be right energy-absorption box negative poisson's ratio structure filling inner core, 8 for post-bumper beam, 7 for post-bumper beam cover plate, 6
For rear bumper negative poisson's ratio structure filling inner core.
Detailed description of the invention
Below in conjunction with the accompanying drawings the present invention is further described.
As it is shown in figure 1, the present invention develops a kind of closed loop negative poisson's ratio construction car security system, comprise front bumper horizontal
Beam 1, front bumper negative poisson's ratio structure filling inner core 2, left energy-absorption box longeron 3, left energy-absorption box cover plate 4, left energy-absorption box bear Poisson
Than structure filling inner core 5, right energy-absorption box longeron 11, right energy-absorption box cover plate 9, right energy-absorption box negative poisson's ratio structure filling inner core 10,
Post-bumper beam 8, post-bumper beam cover plate 7, rear bumper negative poisson's ratio structure filling inner core 6.
Front bumper negative poisson's ratio structure filling inner core 2 is arranged on composition front bumper in front bumper beam 1;Left energy-absorbing
Box longeron 3, left energy-absorption box cover plate 4, left energy-absorption box negative poisson's ratio structure filling inner core 5 are installed together the left energy-absorption box of composition, left
Energy-absorption box negative poisson's ratio structure filling inner core 5 is inside left energy-absorption box longeron 3 and left energy-absorption box cover plate 4.Right energy-absorption box longeron 11,
Right energy-absorption box cover plate 9, right energy-absorption box negative poisson's ratio structure filling inner core 10 are installed together the right energy-absorption box of composition, and right energy-absorption box is born
Poisson's ratio structure filling inner core 10 is inside right energy-absorption box longeron 11 and right energy-absorption box cover plate 9.Post-bumper beam 8, insure afterwards
Thick stick crossbearer cover plate 7, rear bumper negative poisson's ratio structure filling inner core 6 are installed together composition rear bumper, the negative pool of rear bumper
Pine than structure filling inner core 6 inside post-bumper beam 8 and post-bumper beam cover plate 7.Front bumper, left energy-absorption box, the right side
Energy-absorption box, rear bumper are by being installed together composition closed loop negative poisson's ratio construction car security system.
When being designed, initially set up bumper beam and the parameterized model of negative poisson's ratio structure filling inner core, it is achieved
Quickly set up the model of closed loop negative poisson's ratio structural bumper system by the change of parameter, use in combination with Latin hypercube
Its approximate model is set up, application multi-objective optimization algorithm to carry out multiple target for its crash-worthiness and lightweight excellent with response phase method
Change design.The present invention is by closed loop design and the excellent EAC utilizing negative poisson's ratio structure, in the collision of automobile
Journey improves energy absorption and the buffer capacity of structure, strengthens automobile and to occupant and the protection of pedestrian and reduce collision to car body
Destruction.
The method for designing of above-mentioned closed loop negative poisson's ratio construction car security system is as follows:
1) design process generates the parameterized model of the front bumper beam of certain radian first with Bezier curve.
Bezier curve is mainly defined by starting point, terminating point and control point, and control point is mainly used in radian and the trend of controlling curve, changes
Becoming position, control point, the shape of Bezier can occur to change accordingly.For n rank Bezier curve, set point P0、P1、…、
Pn, wherein P0, PnFor end points, P1、P2…、Pn-1For control point, the parametric form of Bezier curve such as:
WithRepresent by a P0、P1、…、PnDetermined Bezier, then the parametric form of Bezier curve can be used
Following recursion is expressed:
The Bezier on i.e. n rank is the interpolation of two n-1 rank Beziers.Use cube Bezier curve, P0、
P1、P2、P3Four some definition cube Bezier curve.Curve originates in P0Move towards P1, and from P2Direction come P3, curve is not
Through P1Or P2, as shown in Figure 3.The parametric form of curve is as follows:
B (t)=P0(1-t)3+3P1t(1-t)2+3P2t2(1-t)+P3t3, t ∈ [0,1] (3)
2) negative poisson's ratio structure filling inner core includes that front bumper negative poisson's ratio structure filling inner core, left energy-absorption box bear Poisson
Than structure filling inner core, right energy-absorption box negative poisson's ratio structure filling inner core, rear bumper negative poisson's ratio structure filling inner core.Set up
During model, choose the angle between negative poisson's ratio structure cellular cell wall, the thickness of cell wall, the length of cell wall, the width conduct of thin-walled
Design variable, utilizes the parameters relationship between negative poisson's ratio structure cellular design variable to set up parameterized model, thus realizes
The FEM (finite element) model of negative poisson's ratio structure filling inner core, star-like negative poisson's ratio structure can be quickly set up by the change of design parameter
Schematic diagram is as shown in Figure 2.
3) utilize energy-absorption box FEM (finite element) model to set up left energy-absorption box and the parameterized model of right energy-absorption box respectively, pass through parameter
Change model and realize the quick change of energy-absorption box design variable.Meanwhile, by front bumper beam, negative poisson's ratio structure filling
The parameterized model of core, left energy-absorption box and right energy-absorption box carries out efficient combination, i.e. generates a program, this program in Matlab
Can transfer simultaneously and apply front bumper beam, negative poisson's ratio structure filling inner core, left energy-absorption box and the parametrization of right energy-absorption box
Model.In changing program, change design parameter, the model of negative poisson's ratio construction car security system can be directly generated.Thus set up
The parameterized model of negative poisson's ratio construction car security system.The parameterized model of negative poisson's ratio construction car security system can be real
The finite element performance of system is now quickly set up by the change of negative poisson's ratio parameter of structure design, bumper shape and thickness parameter
Analyzing model, the parameterized model of negative poisson's ratio construction car security system mainly includes negative poisson's ratio parameter of structure design, guarantor
The danger design parameter such as thick stick shape and thickness parameter, can quickly set up the finite element performance of system by the change of design parameter and divide
Analysis model.
4) negative poisson's ratio construction car security system parameterized model, optimal Latin hypercube experimental design method and response are combined
Face method sets up the response surface model of negative poisson's ratio construction car security system.Optimal Latin hypercube experimental design method is used during sampling
By optimizing the order that in design matrix each column, each level occurs, the factor level of each sample point in matrix is made to be distributed
More uniform, make the matching of the factor and response more accurately with true.Negative poisson's ratio construction car security system response surface model
Meeting Y=F (X) between middle dependent variable Y and independent variable X, wherein X is that n ties up independent design variable, X=[x1,x2,…,xn], use
Response surface model approximates above-mentioned functional relationship to be had: Y=F (X) '+ε, F (X) ' are the receptance functions about variable X, and ε is approximation
And the random error between actual value, ε obeys (0, ε2) standard normal distribution.Negative poisson's ratio construction car security system second order rings
Surface model is answered to be expressed as follows:
Wherein by making the error minimum between assay value and approximation determine a, the value of b, c, d, use in statistics
R2Detect the structure precision problem of response surface.This model needs (n+1) * (n+1)/2 finite element analysis structure simultaneously
Response surface model.
5) NSGA-II multi-objective genetic algorithm is used to carry out many to negative poisson's ratio construction car security system response surface model
Objective optimization.For improving Pareto frontier advance ability, NSGA-II multi-objective genetic algorithm uses and achieves concept, simultaneously
The method of importing crowding distance and crowding distance sequence substitutes the shared method of fitness thus avoids exploration to concentrate on
The local of Pareto frontier.Without loss of generality, the mathematical model of multi-objective optimization question can be described as:
Wherein, M is the sum of sub-goal function, fmX () is m-th sub-goal function;I is the sum of inequality constraints, gi
X () is i-th inequality constraints condition;J is the sum of equality constraint, HjX () is jth equality constraint;N becomes for design
The sum of amount, XkFor kth design variable, Xk (L)And Xk (U)It is respectively lower limit and the upper limit of kth design variable value.
6) choose negative poisson's ratio construction car security system optimal design and verify.Due in multi-objective optimization question
The optimal solution of each target usually differs even contradiction, it is impossible to arrive optimum simultaneously, needs to enter between each target
Row balance and compromise.Meeting, for finding, the disaggregation that design requires, herein definition extent function C such as formula (6), satisfaction is the least then
Xie Yue is excellent.
In formula, 1/Emax、1/EminFor object function Systemic absorption Energy maximum value and minima in Pareto optimal solution set
Inverse;mmax、mminFor the maximum of object function architecture quality in Pareto optimal solution set and minima.Choose optimal design
After utilize parameterized model quickly set up finite element analysis model and carry out crash analysis and checking.
Embodiment
As a example by certain passenger car vehicle, when not installing closed loop negative poisson's ratio construction car security system, automobile is even
The collision energy absorbed during speed head-on crash is 7654.3KJ.At automotive front, the most optimized design is installed according to the present invention
Closed loop negative poisson's ratio structural safety system, the collision energy that automobile absorbs during at the uniform velocity head-on crash is 11345.7KJ,
System weightening finish 1.12kg.The method for designing applying closed loop negative poisson's ratio structural safety system of the present invention is optimized design to it,
The collision energy that after redesign, automobile absorbs during at the uniform velocity head-on crash is 11785.9KJ, and system relatively optimizes front loss of weight
0.46kg, thus the automobile of closed loop negative poisson's ratio structural safety system is installed compared to former automobile weightening finish 0.66kg.
The 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 Yuan, under the premise without departing from the principles of the invention, it is also possible to make some improvements and modifications, these improvements and modifications also should
It is considered as protection scope of the present invention.
Claims (10)
1. a closed loop negative poisson's ratio construction car security system, it is characterised in that: include by front bumper, left energy-absorption box, after
The closed loop frame structure that the head and the tail two ends of bumper and right energy-absorption box are mutually in turn connected to form;Wherein, described front bumper, after
Bumper is respectively the internal front bumper beam (1) being all evenly arranged with negative poisson's ratio structure filling inner core and rear bumper is horizontal
Beam (8), described left energy-absorption box, right energy-absorption box are respectively the internal left energy-absorbing being all evenly arranged with negative poisson's ratio structure filling inner core
Box longeron (3) and right energy-absorption box longeron (11).
Closed loop negative poisson's ratio construction car security system the most according to claim 1, it is characterised in that: described front bumper
Crossbeam (1), post-bumper beam (8), left energy-absorption box longeron (3) and right energy-absorption box longeron (11) are cylindricality hollow-core construction;Its
In, described front bumper beam (1) has the crooked radian identical with body structure;Described post-bumper beam (8), left energy-absorbing
Box longeron (3) and right energy-absorption box longeron (11) are linear structure, and outside is respectively provided with cover plate.
Closed loop negative poisson's ratio construction car security system the most according to claim 2, it is characterised in that: described closed loop framework
In structure, together with left energy-absorption box longeron (3) is bolted with front bumper beam (1), post-bumper beam (8), right
Together with energy-absorption box longeron (11) is bolted with front bumper beam (1), post-bumper beam (8).
Closed loop negative poisson's ratio construction car security system the most according to claim 1, it is characterised in that: described negative poisson's ratio
Structure filling inner core is made up of three different direction repeated arrangement negative poisson's ratio structure cellular, negative poisson's ratio structure cellular
Matrix material is: the one of which material including aluminum, steel, plastics, or two kinds and the mixture of two or more composition.
5. the method for designing of a closed loop negative poisson's ratio construction car security system, it is characterised in that: comprise the following steps:
1) Bezier curve is utilized to generate the parameterized model of the front bumper beam (1) with crooked radian;
2) form parameter choosing negative poisson's ratio structure sets up the parametrization of negative poisson's ratio structure filling inner core as design variable
Model;
3) energy-absorption box FEM (finite element) model is utilized to set up left energy-absorption box and the parameterized model of right energy-absorption box respectively, by parametrization mould
Type realizes the quick change of energy-absorption box design variable;
4) negative poisson's ratio construction car security system parameterized model, optimal Latin hypercube experimental design method and response phase method are combined
Set up the response surface model of negative poisson's ratio construction car security system;Described negative poisson's ratio construction car security system parametrization mould
Type is by described step 1), 2), 3) in parameterized model assemble;
5) NSGA-II multi-objective genetic algorithm is used to carry out many to described negative poisson's ratio construction car security system response surface model
Objective optimization;
6) choose negative poisson's ratio construction car security system optimal design and verify.
The method for designing of closed loop negative poisson's ratio construction car security system the most according to claim 1, it is characterised in that: institute
State step 1) in n rank Bezier curve parametric form such as:
Set point P0、P1、…、Pn, wherein P0、PnFor end points, P1、P2…、Pn-1For control point;
WithRepresent by a P0、P1、…、PnThe Bezier curve determined, uses recursion to be expressed as:
The Bezier curve on i.e. n rank is the interpolation of two n-1 rank Bezier curve.
The method for designing of closed loop negative poisson's ratio construction car security system the most according to claim 1, it is characterised in that: institute
State step 2) in, the form parameter of negative poisson's ratio structure includes the thickness of the angle between the cell wall of negative poisson's ratio structure cellular, cell wall
Degree, the length of cell wall, the width of cell wall.
The method for designing of closed loop negative poisson's ratio construction car security system the most according to claim 1, it is characterised in that: institute
State step 4) in, negative poisson's ratio construction car security system response surface model meets Y=F between dependent variable Y and independent variable X
(X), wherein X is that n ties up independent design variable, X=[x1,x2,…,xn];
Use response surface model to approximate above-mentioned functional relationship to have: Y=F (X) '+ε, F (X) ' are the receptance functions about variable X, ε
For the random error between approximation and actual value, ε obeys (0, ε2) standard normal distribution;
Negative poisson's ratio construction car security system second-order response surface model representation is as follows:
Wherein, a, b, c, d are 4 unknowm coefficients in second-order response surface model, by making the mistake between assay value and approximation
Difference minimum determines a, the value of b, c, d.
The method for designing of closed loop negative poisson's ratio construction car security system the most according to claim 1, it is characterised in that: institute
State step 5) in, NSGA-II multi-objective genetic algorithm use achieve concept, be simultaneously directed crowding distance and crowding distance sequence
Method, without loss of generality, the mathematical model of multi-objective optimization question is described as:
Minimize fm(x), m=1,2 ..., M
Subject to gi(x)≤0 i=1,2 ..., I (4)
Hj(x)=0 j=1,2 ..., J
Xk (L)≤ Xk≤ Xk (U), k=1,2 ..., n
Wherein, M is the sum of sub-goal function, fmX () is m-th sub-goal function;I is the sum of inequality constraints, gi(x)
For i-th inequality constraints condition;J is the sum of equality constraint, HjX () is jth equality constraint;N is design variable
Sum, XkFor kth design variable, Xk (L)And Xk (U)It is respectively lower limit and the upper limit of kth design variable value.
The method for designing of closed loop negative poisson's ratio construction car security system the most according to claim 1, it is characterised in that:
Described step 6) in, defining extent function C such as following formula, the least then solution of satisfaction is the most excellent:
In formula, 1/Emax、1/EminFalling for object function Systemic absorption Energy maximum value in Pareto optimal solution set and minima
Number;mmax、mminFor the maximum of object function architecture quality in Pareto optimal solution set and minima.
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CN111301525A (en) * | 2019-12-11 | 2020-06-19 | 武汉理工大学 | Automobile front longitudinal beam filled with negative Poisson ratio honeycomb material |
CN113525274A (en) * | 2021-07-08 | 2021-10-22 | 吉林大学 | Pre-collision device capable of adjusting positive and negative Poisson's ratio and control method |
CN113642211A (en) * | 2021-07-29 | 2021-11-12 | 南京航空航天大学 | Composite material energy absorption box with negative Poisson's ratio structure and design method thereof |
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CN111301525A (en) * | 2019-12-11 | 2020-06-19 | 武汉理工大学 | Automobile front longitudinal beam filled with negative Poisson ratio honeycomb material |
CN113525274B (en) * | 2021-07-08 | 2022-07-12 | 吉林大学 | Pre-collision device capable of adjusting positive and negative Poisson's ratio and control method |
CN113525274A (en) * | 2021-07-08 | 2021-10-22 | 吉林大学 | Pre-collision device capable of adjusting positive and negative Poisson's ratio and control method |
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