CN107256289A - The method for building up of car crass reduced parameter FEM model - Google Patents

The method for building up of car crass reduced parameter FEM model Download PDF

Info

Publication number
CN107256289A
CN107256289A CN201710351275.3A CN201710351275A CN107256289A CN 107256289 A CN107256289 A CN 107256289A CN 201710351275 A CN201710351275 A CN 201710351275A CN 107256289 A CN107256289 A CN 107256289A
Authority
CN
China
Prior art keywords
model
curve
reduced parameter
car
fem model
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN201710351275.3A
Other languages
Chinese (zh)
Inventor
武栎楠
张君媛
郭强
张召
李婧锡
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Jilin University
Original Assignee
Jilin University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Jilin University filed Critical Jilin University
Priority to CN201710351275.3A priority Critical patent/CN107256289A/en
Publication of CN107256289A publication Critical patent/CN107256289A/en
Pending legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)

Abstract

The invention discloses a kind of method for building up of car crass reduced parameter FEM model, during to overcome prior art to there is the design of vehicle body structure minibus and improve, the step of the problem of using traditional a large amount of modifications of detailed finite meta-model consumption and calculating time, this method, is as follows:1) car body topological structure is set up:(1) the detailed finite meta-model of automobile is obtained, (2) set up the one-dimensional beam element topological model of car body, and (3) set up car body topology controlment;2) extracting parts cross section parameter;3) extracting parts stiffness characteristics and parameterize:(1) conquassation stiffness characteristics are extracted and are parameterized, (2) crushable parts limit element artificial module is set up using Hypermesh softwares, calculated using LS DYNA softwares and obtain crushing force conquassation amount curve, crushing force conquassation amount curve is simplified and parameterized according to energy absorption equal principle by (3);4) analog component collision characteristic;5) reduced parameter FEM model is verified.

Description

The method for building up of car crass reduced parameter FEM model
Technical field
The present invention relates to a kind of method for building up for belonging to vehicle passive safety field, it more particularly relates to one Plant the method for building up of car crass reduced parameter FEM model.
Background technology
Automotive SBC refers to automobile when occurring traffic accident, and vehicle can effectively protect passenger or car Unprofessional person, which escapes injury or tried one's best, reduces the performance of extent of injury.In order to improve the passive safety of automobile, it is necessary to rationally design Body construction enables it to produce when colliding reasonably to deform and fully absorb collision energy.Body construction design and In optimization process, the method that current widely used real train test is combined with Finite Element Simulation Analysis.Finite Element Simulation Analysis leads to Cross computer and carry out virtual crash test, obtain the deformation process and collision response of car body, so carry out body construction design and Improve.Because FInite Element can reduce real train test number of times, improve development efficiency and greatly save development cost, thus application Extensively.
Car body parts are mainly simulated with shell unit and body unit in traditional vehicle complete vehicle collision FEM model, model Middle element number is huge, even with high-performance computer, calculates generally be also required to several hours every time.When design is more Or the design and checking changed repeatedly FEM model is generally required during structure improvement, while this needs consuming substantial amounts of Model modification and calculating time so that whole development process takes time and effort.In order to reduce scale of model, when shortening Scheme Solving Between, simplified FEM model is widely applied, and main thought is to replace vehicle detailed using the unit of other forms Unit form in FEM model, it is contemplated that the required precision of simplified model, the simplified model being currently, there are is mainly shell list The mixed cell that member is constituted with beam element, although the simplified model of the type can reduce virtual test solution to a certain extent Time, but be due to the presence of shell unit, still do not reach preferable solving speed.
Accordingly, it would be desirable to a kind of new reduced parameter FEM model, the model on the premise of computational accuracy is met, Using beam element as unique substituting unit, vehicle detailed finite meta-model is simplified, the New Simplified Model with it is whole Car detailed finite meta-model and beam, the simplified model of shell mixed cell composition can shorten the solution time compared to it, and this is new The simplification FEM model of type is by the parametrization to architectural characteristic, and realizing need to be only to the adjustment of some parameters in simplified model Can reach the Curve guide impeller to organization plan, thus eliminate the improved structure three-dimensional model foundation of traditional structure, mesh generation, The series of steps such as material and thickness definition, and then can optimize and verify in the performance of structure preliminary design phase, after guidance Continuous structure detailed design.
The content of the invention
The technical problems to be solved by the invention be overcome prior art exist vehicle body structure minibus design and During improvement, touched using traditional a large amount of modifications of detailed finite meta-model consumption and the problem of calculating the time there is provided a kind of automobile Hit the method for building up of reduced parameter FEM model.
In order to solve the above technical problems, the present invention adopts the following technical scheme that realization:Described car crass simplifies The step of method for building up of parameter finite element model, is as follows:
1) car body topological structure is set up;
2) extracting parts cross section parameter;
3) extracting parts stiffness characteristics and parameterize;
4) analog component collision characteristic;
5) reduced parameter FEM model is verified.
Car body topological structure of setting up described in technical scheme refers to:
1) the detailed finite meta-model of automobile is obtained:
The detailed finite meta-model of automobile can be set up in the design phase engineer of automobile, this step will find Automobile Design The detailed finite meta-model that stage is set up;Prepared to set up car crass reduced parameter FEM model;
2) the one-dimensional beam element topological model of car body is set up:
Using the geometric position of each two-dimentional shell unit and said three-dimensional body assembly of elements in detailed finite meta-model, utilize Hypermesh softwares extract the geometric center point of each two end faces of part successively, and using the two central points as one-dimensional The whole story node of beam element, sets up out the one-dimensional beam element topological model of car body;
3) car body topology controlment is set up.
Extracting parts cross section parameter described in technical scheme refers to:
1) principle equal according to area of section is equivalent rectangular by the section of safety component, and section is calculated successively Length and width and thickness;
2) the * SECTION_BEAM keywords in LS-DYNA are commonly used to simulate the cross section property of one-dimensional beam element, in * The moment of inertia in three directions of sectional dimension and beam element of each safety component is inserted in SECTION_BEAM successively, for mould Intend the section attribute of safety component.
Extracting parts stiffness characteristics and parametrization described in technical scheme refer to:
1) conquassation stiffness characteristics are extracted and are parameterized:
(1) loading condition is the part that rigid obstacle (1) impacts rear end face fixation with 1m/s constant speed in the x-direction (2) the complete conquassation of part 2, is made;
(2) crushable parts limit element artificial module is set up using Hypermesh softwares, is calculated and obtained using LS-DYNA softwares Obtain crushing force-conquassation amount curve;
(3) crushing force-conquassation amount curve is simplified and parameterized according to energy absorption equal principle, the curve after parametrization can To be represented with six parameters of Fx, Fp, Fm, dm, de and dx, wherein:
Fx. limit crushing force, unit .kN;Fp. crushing force peak value, unit .kN;Fm. be averaged crushing force, unit .kN;dm. Conquassation amount corresponding to peak force, unit .mm;De. effective conquassation amount, unit .mm;Dx. limit conquassation amount, unit .mm.
2) extract bending stiffness characteristic and parameterize:
(1) loading condition is the free degree of all nodes on one end face of constraint component, in the geometry of another end face Node rigid body is set up at the heart and upper all joint rigidities with the end face are connected, applies 0.157rad/ms's to node rigid body Rotational angular velocity, makes part produce the flexural deformation around y-axis;
(2) bending part limit element artificial module is set up using Hypermesh softwares, is calculated and obtained using LS-DYNA softwares Obtain bending moment-rotation curve;
(3) bending moment-rotation curve is simplified and parameterized according to energy absorption equal principle, the curve after parametrization can To be represented with Mx, Mp, Mm, θ m, θ e and θ six parameters of x, wherein:
Mx. extreme flexion torque, unit .Nm;Mp. the peak value of bending moment, unit .Nm;Mm. average bending force Square, unit .Nm;Corner corresponding to θ m. peak torques, unit .rad;The effective angle of bend of θ e., unit .rad;θ x. poles Limit angle of bend, unit .rad.
Analog component collision characteristic described in technical scheme refers to:
(1) whole simulation process is completed with LS-DYNA, for each replacement crushable parts and the simplification beam list of bending part Member, its material is simulated with corresponding * MAT_FORCE_LIMITED materials in LS-DYNA, enters editor circle after selection good material Face sequentially inputs density of material, modulus of elasticity and Poisson's ratio;
(2) crushable parts that will finally be obtained using (1) step in extracting parts stiffness characteristics and parameterization step (2) step in the crushing force of reduced parameter-conquassation amount curve and utilization extracting parts stiffness characteristics and parametrization is obtained Bending moment-rotation curve of the bending part reduced parameter obtained assigns the material, and deformation component simulation is completed;
(3) some parts do not deform during car collision, the beam list for replacing non-deformed part Member, is simulated with the * MAT_ELASTIC materials in LS-DYNA, is sequentially input density of material, modulus of elasticity, Poisson and is when surrendered The limit, the part simulation of non-deformed is completed.
Checking reduced parameter FEM model described in technical scheme.
(1) four will be obtained after carrying out collision simulation to car crass reduced parameter FEM model using LS-DYNA Curve, respectively energy absorption curve, accelerating curve, rate curve and displacement curve;
(2) by contrasting car crass reduced parameter FEM model and vehicle detailed finite meta-model response curve Difference is to be able to verify that whether newly-established car crass reduced parameter FEM model is qualified.
Compared with prior art the beneficial effects of the invention are as follows:
1. the method for building up of car crass reduced parameter FEM model of the present invention can go out vapour with accurate simulation The crucial response (energy absorption, acceleration, speed, displacement) of car collision and the deformation of critical component (energy-absorption box, front longitudinal etc.) Process.
2. the car crass in the method for building up of car crass reduced parameter FEM model of the present invention simplifies Parameter finite element model calculates quick and modification is convenient, compared with detailed finite meta-model, greatly save structure design and The spent time is improved, development efficiency is improved, is adapted to carry out quickly setting on a large scale in the body construction minibus design phase Meter and optimization.
3. the method for building up of car crass reduced parameter FEM model of the present invention is applied to car anti-collision Structure design makes the stiffness characteristics of minor structure change convenient and swift initial stage, eliminates and sets up the cumbersome of detailed shell unit model, profit Collision waveform is quickly obtained with car crass reduced parameter FEM model, the minor structure performance obtained by goal decomposition is verified The reasonability and correctness of target
Brief description of the drawings
The present invention is further illustrated below in conjunction with the accompanying drawings:
Fig. 1 is the FB(flow block) of the method for building up of car crass reduced parameter FEM model of the present invention;
Fig. 2 is extraction conquassation rigidity in the method for building up of car crass reduced parameter FEM model of the present invention The loading schematic diagram of characteristic;
Fig. 3 is simplifies and parameterized in the method for building up of car crass reduced parameter FEM model of the present invention Crushing force-conquassation amount curve synoptic diagram;
Fig. 4 for car crass reduced parameter FEM model of the present invention method for building up in extract bending stiffness The loading schematic diagram of characteristic;
Fig. 5 is simplifies and parameterized in the method for building up of car crass reduced parameter FEM model of the present invention Bending moment-rotation curve schematic diagram;
Fig. 6 is M6 types in the embodiment of the method for building up of car crass reduced parameter FEM model of the present invention Passenger car detailed finite metamodel structure figure;
Fig. 7 is foundation in the embodiment of the method for building up of car crass reduced parameter FEM model of the present invention M6 type passenger cars head-on crash simplify beam element model topology diagram;
Fig. 8 is M6 types in the embodiment of the method for building up of car crass reduced parameter FEM model of the present invention Passenger car front end front longitudinal detailed finite metamodel structure figure;
Fig. 9 is detailed in the embodiment of the method for building up of car crass reduced parameter FEM model of the present invention FEM model is with simplifying beam element model energy absorption curve comparison;
Figure 10 is detailed in the embodiment of the method for building up of car crass reduced parameter FEM model of the present invention Thin FEM model is contrasted with simplifying beam element model accelerating curve;
Figure 11 is detailed in the embodiment of the method for building up of car crass reduced parameter FEM model of the present invention Thin FEM model is contrasted with simplifying beam element model rate curve;
Figure 12 is detailed in the method for building up embodiment of car crass reduced parameter FEM model of the present invention FEM model is contrasted with simplifying beam element model displacement curve.
In figure:1. rigid obstacle, 2. body parts, 3. part rear ends, 4. front longitudinal first paragraphs, 5. front longitudinal second segments.
Embodiment
The present invention is explained in detail below in conjunction with the accompanying drawings:
The whole modeling process of the present invention will use Hypermesh softwares, and Hypermesh softwares are Altair companies of the U.S. Product, be advanced in the world, powerful CAE application software packages, be also an innovation, open enterprise-level CAE platform, It is integrated with the various instruments needed for design and analysis, opening, flexibility with impayable performance and height and Friendly user interface.
The present invention will use LS-DYNA softwares during the simulation calculation of model, and LS-DYNA programs are multiple functional Geometrical non-linearity, material nonlinearity and contact nonlinear program.It is had concurrently ALE and Euler and calculated based on Lagrange algorithms Method;Based on explicit solution, Implicit Method function is had concurrently;Based on structural analysis, heat analysis, fluid-structural coupling work(are had concurrently Energy;Based on nonlinear dynamic analysis, have concurrently static analysis function (calculation of Prestress before such as kinematic analysis and sheet stamping into Springback calculation after type) it is the dual-use Analysis of Currency Structure Nonlinear Finite metaprogram being combined.
It is as follows the step of the method for building up of car crass reduced parameter FEM model of the present invention refering to Fig. 1:
1. set up car body topological structure
Car body topological structure of the present invention, i.e., the locus of main skeleton part, corresponds to car crass in vehicle body The locus of one-dimensional beam element whole story node in reduced parameter FEM model, as model.It is one-dimensional that the present invention is referred to Beam element, two-dimentional shell unit, three-dimensional body unit etc. are all the cell types of model in Hypermesh softwares.
1) the detailed finite meta-model of automobile is obtained:
The detailed finite meta-model of automobile can be set up in the design phase engineer of automobile, the present invention will be with Automobile Design rank The detailed finite meta-model that section is set up is foundation to set up car crass reduced parameter FEM model;
2) the one-dimensional beam element topological model of car body is set up:
Using the geometric position of each two-dimentional shell unit and said three-dimensional body assembly of elements in detailed finite meta-model, utilize Hypermesh softwares extract the geometric center point of each two end faces of part successively, and using the two central points as one-dimensional The whole story node of beam element, sets up out the one-dimensional beam element topological model of car body;
2. extracting parts cross section parameter
Section parameter of the present invention includes the cross sectional shape and the moment of inertia of one-dimensional beam element.
The section of exemplary secure part is often rectangle, single hat, double hats in body of a motor car, is designed just in body construction Phase, in order to calculate and change conveniently, section is all generally equivalent to rectangle, processing technology is considered in later stage detailed design, is connected The need for connecing, then cross sectional shape is further refined as single hat, double hats etc..
The present invention principle equal according to area of section is equivalent rectangular by the section of safety component, and section is calculated successively Length and width and thickness.* SECTION_BEAM keywords in LS-DYNA are commonly used to simulate the cross section property of one-dimensional beam element, this The inertia in three directions of sectional dimension and beam element of each safety component is inserted in invention successively in * SECTION_BEAM Square, for the section attribute of simulating Safety part.
3. extracting parts stiffness characteristics are simultaneously parameterized
Car body collide deformation when some parts deformation be conquassation, referred to as crushable parts;The deformation of some parts For bending, referred to as bending part.So model will be consistent with car body collision characteristic must just extract its conquassation rigidity spy Property and bending just solely degree characteristic.Conquassation stiffness characteristics and bending stiffness characteristic use crushing force-conquassation amount curve and bending force respectively Square-rotation curve is characterized.Stiffness characteristics carry out simulation calculation acquisition using detailed finite meta-model, and specific method is as follows:
1) conquassation stiffness characteristics are extracted and are parameterized:
For occurring the part of conquassation deformation, its stiffness characteristics is crushing force-conquassation amount curve, and the present invention will utilize limited First simulation software Hypermesh and LS-DYNA carries out the conquassation that simulation calculation extracts part under certain loading condition Stiffness characteristics.
Refering to Fig. 2, Fig. 2 is extracts the loading schematic diagram of the conquassation stiffness characteristics of crushable parts, and loading condition is rigid walls Barrier 1 impacts the part 2 of rear end face fixation with 1m/s constant speed in the x-direction, makes the complete conquassation of part 2.Utilize Hypermesh Software sets up crushable parts limit element artificial module, is calculated using LS-DYNA softwares and obtains crushing force-conquassation amount curve.
Refering to Fig. 3, Fig. 3 is crushing force-conquassation amount curve synoptic diagram that is simplified and parameterizing, according to energy absorption equal principle Crushing force-conquassation amount curve is simplified and parameterized, the curve after parametrization can use six ginsengs of Fx, Fp, Fm, dm, de and dx Number is represented.The concrete meaning of each parameter is as shown in table 1:
Each meaning of parameters in 1 crushing force of table-conquassation amount curve
Symbol Implication Unit
Fx Limit crushing force kN
Fp Crushing force peak value kN
Fm Average crushing force kN
dm Conquassation amount corresponding to peak force mm
de Effective conquassation amount mm
dx Limit conquassation amount mm
2) extract bending stiffness characteristic and parameterize:
For the part occured bending and deformation, its stiffness characteristics is bending moment-rotation curve, and the present invention will utilize limited First simulation software Hypermesh and LS-DYNA carries out the bending that simulation calculation extracts part under certain loading condition Stiffness characteristics.Refering to Fig. 4, Fig. 4 is that bending part finite element simulation loads schematic diagram, and loading condition is one end face of constraint component The free degree of upper all nodes, sets up node rigid body and upper all sections with the end face at the geometric center of another end face Point is rigidly connected, and applies 0.157rad/ms rotational angular velocity to node rigid body, part is produced the flexural deformation around y-axis.
Bending part limit element artificial module is set up using Hypermesh softwares, is calculated using LS-DYNA softwares and obtains curved Bent torque-rotation curve.Refering to Fig. 5, Fig. 5 is bending moment-rotation curve schematic diagram that is simplified and parameterizing, according to energy absorption Bending moment-rotation curve is simplified and parameterized by equal principle, and the curve after parametrization can use Mx, Mp, Mm, θ m, θ e and θ Six parameters of x are represented.The concrete meaning of each parameter is as shown in table 2:
Each meaning of parameters in 2 bending moments of table-rotation curve
4. intend mold part collision characteristic
(1) analog component collision characteristic is explained:Analog component collision characteristic of the present invention is to be previously obtained Load-deflection curve and corresponding material properties assign the beam element in reduced parameter model.
(2) analog component collision characteristic method:Whole simulation process is completed with LS-DYNA, for each replacement crushed portion The simplification beam element of part and bending part, its material is simulated with corresponding * MAT_FORCE_LIMITED materials in LS-DYNA, Density of material, modulus of elasticity and Poisson's ratio are sequentially input into editing interface after selection good material, finally by using in step 3 (2) in the crushing force-conquassation amount curve and utilization step 3 of the crushable parts reduced parameter that (1) is obtained are obtained Bending moment-rotation curve of bending part reduced parameter assigns the material, and deformation component simulation is completed.
Some parts do not deform during car collision, the beam element for replacing non-deformed part, Simulated with the * MAT_ELASTIC materials in LS-DYNA, sequentially input density of material, modulus of elasticity, Poisson and when surrender pole Limit, the part simulation of non-deformed is completed.
5. verify reduced parameter FEM model
(1) verifying purpose:By above four steps, car crass reduced parameter FEM model, which is set up, to be completed, tool The mould shapes of body are as shown in Figure 7.This step will carry out collision simulation using LS-DYNA softwares to model, it is therefore an objective to examine new Can the car crass reduced parameter FEM model of foundation simulate touching for existing vehicle detailed finite meta-model well Hit characteristic.
(2) verification method:Car crass reduced parameter FEM model is carried out using LS-DYNA will after collision simulation Obtain four curves, respectively energy absorption curve, accelerating curve, rate curve and displacement curve, touched by contrasting automobile Hit reduced parameter FEM model and the difference of vehicle detailed finite meta-model response curve is able to verify that newly-established automobile Whether qualified collide reduced parameter FEM model.
Embodiment
Next the present invention introduces car crass reduced parameter FEM model of the present invention in conjunction with the embodiments Method for building up.
Chosen in embodiment based on the detailed finite meta-model of M6 type passenger cars, set up the reduced parameter of its head-on crash Change FEM model, the detailed finite meta-model of M6 type passenger cars is as shown in Figure 6.
1. set up car body topological structure and extracting parts cross section parameter
(1) modeling analysis:Vehicle front portion is concentrated mainly on for passenger car deformation upon frontal crash, and postmedian does not have substantially Deform.Therefore the main modeling object of simplification beam element model that the present embodiment is set up will be chosen from front-end architecture. Bodywork component is main to produce two kinds of modes of texturing of axial conquassation and local buckling under impact loading.
(2) car body topological structure and analog component inertia characteristics process are set up:Utilize the beam list in hypermesh softwares Member is topological to build car body, and beam element is shaped as a line segment in hypermesh, and each beam element is equivalent to car body A part of minor structure.
Front longitudinal plays main energy-absorbing and intermal force during frontal crash of vehicles, and the present invention is by taking front longitudinal as an example, newly A beam element is built to simulate car body detailed finite meta-model front longitudinal minor structure, car body front longitudinal section is equivalent rectangular, * SECTION_BEAM keywords are assigned to after the length and width numerical value for determining front longitudinal section rectangle.Such is each of car body repeatedly Minor structure sets up new beam element to simulate, the frontal crash of vehicles of foundation simplify beam element model topological structure as shown in fig. 7, It can be seen that topological structure reflects the deployment scenarios of vehicle skeleton.
2. extracting parts stiffness characteristics are simultaneously parameterized
1) conquassation stiffness characteristics are extracted and are parameterized:
The present embodiment extracts minor structure stiffness characteristics using FInite Element, and the loading condition of FEM model is as shown in Figure 2. By taking the front longitudinal first paragraph of car body front end as an example, front longitudinal first paragraph shape is soft using Hypermesh as shown in No. 4 parts in Fig. 8 Part sets up front longitudinal first paragraph limit element artificial module, is calculated using LS-DYNA softwares and obtains crushing force-conquassation amount curve.Just Property obstacle the front longitudinal first paragraph of rear end constraint is hit with 1m/s constant speed, enable the conquassation completely of front longitudinal first paragraph, Extract the conquassation amount of the impact force and front longitudinal first paragraph itself between front longitudinal first paragraph and obstacle.Refering to Fig. 3, Fig. 3 To simplify and crushing force-conquassation amount curve synoptic diagram for parameterizing, according to energy absorption equal principle by crushing force-conquassation amount curve Simplify and parameterize.The extracting method of other crushable parts stiffness characteristics of body construction ibid, finally gives car body front end main The conquassation stiffness characteristics of safeguard construction are as shown in table 3.
The stiffness characteristics of the car body fore-end minor structure of table 3
2) extract bending stiffness characteristic and parameterize:
Front longitudinal second segment rear end becomes due to being produced bending by the barrier effect of engine during frontal crash of vehicles Shape, is the main bending part in head-on crash, and front longitudinal second segment shape is vertical before the present invention as shown in No. 5 parts in Fig. 8 Exemplified by beam second segment, the limit element artificial module of front longitudinal second segment is set up using Hypermesh softwares, front longitudinal second is constrained The free degree of all nodes of Duan Yiduan, sets up node rigid body and the upper institute with the end face at the geometric center of another end face There is joint rigidity connection, apply 0.157rad/ms rotational angular velocity to node rigid body, front longitudinal is produced the bending around y-axis Deformation.Calculated using LS-DYNA softwares and obtain bending moment-rotation curve.The bending moment for simplifying refering to Fig. 5 and parameterizing- Rotation curve schematic diagram, bending moment-rotation curve according to energy absorption equal principle simplified and parameterized, and obtains front longitudinal Two sections of bending stiffness characteristic, as shown in table 4.
Table 4 extracts the Dependence Results of bending stiffness characteristic
3. analog component collision characteristic
It is respectively crushable parts, bending part, non-energy absorbing component that collision characteristic, which simulates the part that is divided into three classes,.
(1) crushable parts are simulated:For main energy absorbing component, conquassation minor structure the present embodiment is used to be carried in LS-DYNA The beam element simulation of non-linear axial crush characteristics, material type is * MAT_FORCE_LIMITED (* MAT29), and by 2 steps In (1) in obtained crushing force-conquassation amount curve of crushable parts reduced parameter assign the material.
(2) bending part is simulated:Nonlinear spring unit is used for the plastic hinge the present embodiment produced in flexural deformation Simulation, material type is * MAT_NONLINEAR_PLASTIC_DISCRETE_BEAM (* MAT68), and by step 2 step Bending moment-the rotation curve for the bending part reduced parameter that (2) are obtained assigns the material.
(3) non-energy absorbing component simulation:For non-principal energy absorbing component, as long as simulating its inertial properties, this implementation Example uses simple beam unit simulation, and material type is * MAT_ELASTIC (* MAT1), it is ensured that quality is consistent with detailed model.
4. verify reduced parameter FEM model
Frontal crash of vehicles reduced parameter FEM model has built up completion, and the profile of model refers to Fig. 7.It will set up Frontal crash of vehicles reduced parameter FEM model using LS-DYNA softwares carry out collision simulation calculating, obtain model Energy absorption curve, accelerating curve, rate curve and displacement curve, this four curves and detailed finite meta-model are emulated and counted Four obtained curves are contrasted to verify reduced parameter FEM model, refering to Fig. 9 to Figure 12.
It can be seen that the final energy absorption for simplifying beam element model and detailed finite meta-model be respectively 130J, 128kJ, error very little, for conceptual analysis model, it is this can error be acceptable.Simplify beam element model with having in detail Crash acceleration, speed and displacement the trend uniformity that changes with time of limit meta-model are very high, but there is also certain deviation. Remaining part is reduced to elastic material in addition to main energy absorbing component mainly due to beam element model except deformation is big, more than energy absorption Material, is not plastically deformed, and integral rigidity is big, and collision time is short, and resilience is fast, and collision waveform peak value is big.Pass through above-mentioned analytical table Bright, the collision process of vehicle, the deformation of collision response and key structure can be reflected by simplifying beam element model.In addition, simplifying The CPU time that beam element model calculates used in 100ms is only 2min, is easy to be touched in quick calculate of structure design progress at initial stage Waveform is hit, for verifying whether the performance decomposition of minor structure is reasonable, quickly to realize that energy management and load path are decomposed.

Claims (6)

1. a kind of method for building up of car crass reduced parameter FEM model, it is characterised in that, described car crass letter The step of changing the method for building up of parameter finite element model is as follows:
1) car body topological structure is set up;
2) extracting parts cross section parameter;
3) extracting parts stiffness characteristics and parameterize;
4) analog component collision characteristic;
5) reduced parameter FEM model is verified.
2. according to the method for building up of the car crass reduced parameter FEM model described in claim 1, it is characterised in that, institute The car body topological structure of setting up stated refers to:
1) the detailed finite meta-model of automobile is obtained:
The detailed finite meta-model of automobile can be set up in the design phase engineer of automobile, this step will find the Automobile Design stage The detailed finite meta-model set up;Prepared to set up car crass reduced parameter FEM model;
2) the one-dimensional beam element topological model of car body is set up:
Using the geometric position of each two-dimentional shell unit and said three-dimensional body assembly of elements in detailed finite meta-model, utilize Hypermesh softwares extract the geometric center point of each two end faces of part successively, and using the two central points as one-dimensional The whole story node of beam element, sets up out the one-dimensional beam element topological model of car body;
3) car body topology controlment is set up.
3. according to the method for building up of the car crass reduced parameter FEM model described in claim 1, it is characterised in that, institute The extracting parts cross section parameter stated refers to:
1) principle equal according to area of section is equivalent rectangular by the section of safety component, and the length and width in section is calculated successively And thickness;
2) the * SECTION_BEAM keywords in LS-DYNA are commonly used to simulate the cross section property of one-dimensional beam element, in * The moment of inertia in three directions of sectional dimension and beam element of each safety component is inserted in SECTION_BEAM successively, for mould Intend the section attribute of safety component.
4. according to the method for building up of the car crass reduced parameter FEM model described in claim 1, it is characterised in that, institute The extracting parts stiffness characteristics and parametrization stated refer to:
1) conquassation stiffness characteristics are extracted and are parameterized:
(1) loading condition is the part (2) that rigid obstacle (1) impacts rear end face fixation with 1m/s constant speed in the x-direction, is made The complete conquassation of part 2;
(2) crushable parts limit element artificial module is set up using Hypermesh softwares, is calculated and pressed using LS-DYNA softwares Routed power-conquassation amount curve;
(3) crushing force-conquassation amount curve is simplified and parameterized according to energy absorption equal principle, the curve after parametrization can be used Six parameters of Fx, Fp, Fm, dm, de and dx represent, wherein:
Fx. limit crushing force, unit .kN;Fp. crushing force peak value, unit .kN;Fm. be averaged crushing force, unit .kN;Dm. peak value Conquassation amount corresponding to power, unit .mm;De. effective conquassation amount, unit .mm;Dx. limit conquassation amount, unit .Mm;
2) extract bending stiffness characteristic and parameterize:
(1) loading condition is the free degree of all nodes on one end face of constraint component, at the geometric center of another end face Set up node rigid body and upper all joint rigidities with the end face are connected, apply 0.157rad/ms rotation to node rigid body Angular speed, makes part produce the flexural deformation around y-axis;
(2) bending part limit element artificial module is set up using Hypermesh softwares, is calculated using LS-DYNA softwares and obtain curved Bent torque-rotation curve;
(3) bending moment-rotation curve is simplified and parameterized according to energy absorption equal principle, the curve after parametrization can be used Mx, Mp, Mm, θ m, θ e and θ six parameters of x represent, wherein:
Mx. extreme flexion torque, unit .Nm;Mp. the peak value of bending moment, unit .Nm;Mm. average bending force square, single Position .Nm;Corner corresponding to θ m. peak torques, unit .rad;The effective angle of bend of θ e., unit .rad;θ x. extreme flexions Angle, unit .rad.
5. according to the method for building up of the car crass reduced parameter FEM model described in claim 1, it is characterised in that, institute The analog component collision characteristic stated refers to:
(1) whole simulation process is completed with LS-DYNA, for each replacement crushable parts and the simplification beam element of bending part, Its material is simulated with corresponding * MAT_FORCE_LIMITED materials in LS-DYNA, enters editing interface after selection good material Sequentially input density of material, modulus of elasticity and Poisson's ratio;
(2) finally the crushable parts obtained using (1) step in extracting parts stiffness characteristics and parameterization step are simplified What (2) step in the crushing force of parametrization-conquassation amount curve and utilization extracting parts stiffness characteristics and parametrization was obtained Bending moment-rotation curve of bending part reduced parameter assigns the material, and deformation component simulation is completed;
(3) some parts do not deform during car collision, the beam element for replacing non-deformed part, use * MAT_ELASTIC materials in LS-DYNA are simulated, and sequentially input density of material, modulus of elasticity, Poisson when yield limit, The part simulation of non-deformed is completed.
6. according to the method for building up of the car crass reduced parameter FEM model described in claim 1, it is characterised in that, institute The checking reduced parameter FEM model stated.
(1) four curves will be obtained after carrying out collision simulation to car crass reduced parameter FEM model using LS-DYNA, Respectively energy absorption curve, accelerating curve, rate curve and displacement curve;
(2) by contrasting the difference of car crass reduced parameter FEM model and vehicle detailed finite meta-model response curve It is able to verify that whether newly-established car crass reduced parameter FEM model is qualified.
CN201710351275.3A 2017-05-18 2017-05-18 The method for building up of car crass reduced parameter FEM model Pending CN107256289A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201710351275.3A CN107256289A (en) 2017-05-18 2017-05-18 The method for building up of car crass reduced parameter FEM model

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201710351275.3A CN107256289A (en) 2017-05-18 2017-05-18 The method for building up of car crass reduced parameter FEM model

Publications (1)

Publication Number Publication Date
CN107256289A true CN107256289A (en) 2017-10-17

Family

ID=60027280

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201710351275.3A Pending CN107256289A (en) 2017-05-18 2017-05-18 The method for building up of car crass reduced parameter FEM model

Country Status (1)

Country Link
CN (1) CN107256289A (en)

Cited By (29)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108595826A (en) * 2018-04-20 2018-09-28 吉林大学 Two kinds of Common Steels rectangular section thin walled beam crushing force analysis methods under symmetric pattern
CN108959799A (en) * 2018-07-18 2018-12-07 南京维思科汽车科技有限公司 A kind of modeling method of automotive air-conditioning condenser
CN109033668A (en) * 2018-08-08 2018-12-18 中车长春轨道客车股份有限公司 Based on ASME standard car body quasi-static analysis design optimization method
CN109374251A (en) * 2018-10-25 2019-02-22 安徽江淮汽车集团股份有限公司 The collision simulation test method of collision prevention girders
CN109508486A (en) * 2018-10-31 2019-03-22 中国运载火箭技术研究院 A kind of bolted finite element high-precision simplifies modeling method and system
CN109543207A (en) * 2018-09-11 2019-03-29 吉林大学 Consider the method that variation molded line realizes the design of bimodulus cast member multicomponent
CN109670252A (en) * 2018-12-25 2019-04-23 中南大学 A kind of head vehicle contracting mould construction method and head vehicle contracting mould based on power and stiffnes s equivalent
CN109800494A (en) * 2019-01-14 2019-05-24 湖南大学 Vehicle body forward direction conceptual design method based on thin wall section attribute
CN109858072A (en) * 2018-12-13 2019-06-07 江苏梓米汽车科技有限公司 A kind of finite element modeling method for the obstacle that car crass uses
CN110059418A (en) * 2019-04-23 2019-07-26 北斗航天汽车(北京)有限公司 A kind of analog detection method of the entire new energy automobile Facad structure minibus based on CAE
WO2019170016A1 (en) * 2018-03-09 2019-09-12 Ningbo Geely Automobile Research & Development Co., Ltd. A method for optimizing the construction of a car body
CN110852000A (en) * 2018-07-24 2020-02-28 上汽通用五菱汽车股份有限公司 Vehicle body structure optimization method
CN111428389A (en) * 2019-01-10 2020-07-17 宝山钢铁股份有限公司 Performance analysis method of front longitudinal beam
CN111625902A (en) * 2020-05-11 2020-09-04 恒大新能源汽车投资控股集团有限公司 Equivalent simulation method for electric automobile column collision
CN111767666A (en) * 2020-06-24 2020-10-13 中国第一汽车股份有限公司 CAE simulation method for laser welding connection of automobile parts
CN112036054A (en) * 2019-05-15 2020-12-04 广州汽车集团股份有限公司 Finite element calculation method, system and medium for structural performance of extruded aluminum alloy beam
CN112163363A (en) * 2020-10-26 2021-01-01 上海中氐实业股份有限公司 Finite element model design method for collision honeycomb barrier bonding colloid
CN112651074A (en) * 2019-10-10 2021-04-13 广州汽车集团股份有限公司 Automobile collision model simplifying method and method for developing collision performance of automobile collision model
CN112948983A (en) * 2021-04-20 2021-06-11 吉林大学 Automobile front-end structure energy management method cooperating with front collision multi-working condition
CN113283012A (en) * 2021-06-09 2021-08-20 中车青岛四方机车车辆股份有限公司 Finite element modeling simulation method and device for vehicle body structure formed by hollow section
CN113312828A (en) * 2021-07-29 2021-08-27 江铃汽车股份有限公司 Method for judging integrity of automobile fuel pipeline
CN113408046A (en) * 2021-05-20 2021-09-17 大连理工大学宁波研究院 Multi-disciplinary optimization method for variable-spacing arrangement of riveting points based on crashworthiness
CN114001974A (en) * 2021-09-23 2022-02-01 中汽研汽车检验中心(天津)有限公司 Method for evaluating collision response contribution of vehicle front component to passenger compartment
CN114088430A (en) * 2021-11-18 2022-02-25 中车长春轨道客车股份有限公司 Method, device and equipment for testing crushing of rail vehicle and storage medium
CN114444316A (en) * 2022-01-30 2022-05-06 陕西省公路局 Simulation test method for collision between automobile and rigid heightened guardrail
CN115169001A (en) * 2022-07-08 2022-10-11 中南大学 Construction method of simplified model of railway vehicle, collision simulation method and system
CN115809514A (en) * 2023-02-09 2023-03-17 中汽研汽车检验中心(天津)有限公司 Method, equipment and storage medium for establishing automobile collision simulation model
CN116011297A (en) * 2023-02-01 2023-04-25 重庆大学 Method and system for calculating dynamic stiffness of bow based on energy
CN116341325A (en) * 2023-03-27 2023-06-27 重庆大学 Pier anti-collision facility design method and system

Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102339350A (en) * 2011-09-16 2012-02-01 南京航空航天大学 Complete automobile collision simulation method on basis of parameterization design
CN103425848A (en) * 2013-08-30 2013-12-04 吉林大学 Front longitudinal beam anti-collision performance design method for passenger vehicle
US20130340383A1 (en) * 2012-06-04 2013-12-26 Polefab Inc. Deformable energy-absorbing utility pole
CN103699734A (en) * 2013-12-23 2014-04-02 吉林大学 Car head-on collision conceptual design method based on LPM (Lumped Parameter Model)
CN104573246A (en) * 2015-01-11 2015-04-29 吉林大学 Front impact conceptual model design method for front structure of automobile
CN105426622A (en) * 2015-12-01 2016-03-23 吉林大学 Bending characteristic analysis method for thin-walled beam with twelve-right-angle cross section

Patent Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102339350A (en) * 2011-09-16 2012-02-01 南京航空航天大学 Complete automobile collision simulation method on basis of parameterization design
US20130340383A1 (en) * 2012-06-04 2013-12-26 Polefab Inc. Deformable energy-absorbing utility pole
CN103425848A (en) * 2013-08-30 2013-12-04 吉林大学 Front longitudinal beam anti-collision performance design method for passenger vehicle
CN103699734A (en) * 2013-12-23 2014-04-02 吉林大学 Car head-on collision conceptual design method based on LPM (Lumped Parameter Model)
CN104573246A (en) * 2015-01-11 2015-04-29 吉林大学 Front impact conceptual model design method for front structure of automobile
CN105426622A (en) * 2015-12-01 2016-03-23 吉林大学 Bending characteristic analysis method for thin-walled beam with twelve-right-angle cross section

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
刘德岐: "商用车驾驶室抗撞性简化模型建立及应用", 《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》 *

Cited By (45)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US10956636B2 (en) 2018-03-09 2021-03-23 Ningbo Geely Automobile Research & Development Co. Method for optimizing the construction of a car body
WO2019170016A1 (en) * 2018-03-09 2019-09-12 Ningbo Geely Automobile Research & Development Co., Ltd. A method for optimizing the construction of a car body
CN108595826B (en) * 2018-04-20 2021-11-02 吉林大学 Crushing force analysis method for two common steel rectangular-section thin-wall beams in symmetric mode
CN108595826A (en) * 2018-04-20 2018-09-28 吉林大学 Two kinds of Common Steels rectangular section thin walled beam crushing force analysis methods under symmetric pattern
CN108959799A (en) * 2018-07-18 2018-12-07 南京维思科汽车科技有限公司 A kind of modeling method of automotive air-conditioning condenser
CN110852000A (en) * 2018-07-24 2020-02-28 上汽通用五菱汽车股份有限公司 Vehicle body structure optimization method
CN110852000B (en) * 2018-07-24 2023-01-03 上汽通用五菱汽车股份有限公司 Vehicle body structure optimization method
CN109033668A (en) * 2018-08-08 2018-12-18 中车长春轨道客车股份有限公司 Based on ASME standard car body quasi-static analysis design optimization method
CN109543207A (en) * 2018-09-11 2019-03-29 吉林大学 Consider the method that variation molded line realizes the design of bimodulus cast member multicomponent
CN109374251A (en) * 2018-10-25 2019-02-22 安徽江淮汽车集团股份有限公司 The collision simulation test method of collision prevention girders
CN109508486A (en) * 2018-10-31 2019-03-22 中国运载火箭技术研究院 A kind of bolted finite element high-precision simplifies modeling method and system
CN109858072A (en) * 2018-12-13 2019-06-07 江苏梓米汽车科技有限公司 A kind of finite element modeling method for the obstacle that car crass uses
CN109670252A (en) * 2018-12-25 2019-04-23 中南大学 A kind of head vehicle contracting mould construction method and head vehicle contracting mould based on power and stiffnes s equivalent
CN111428389A (en) * 2019-01-10 2020-07-17 宝山钢铁股份有限公司 Performance analysis method of front longitudinal beam
CN111428389B (en) * 2019-01-10 2023-10-17 宝山钢铁股份有限公司 Performance analysis method of front longitudinal beam
CN109800494A (en) * 2019-01-14 2019-05-24 湖南大学 Vehicle body forward direction conceptual design method based on thin wall section attribute
CN109800494B (en) * 2019-01-14 2023-02-17 湖南大学 Vehicle body forward conceptual design method based on thin-wall section attribute
CN110059418A (en) * 2019-04-23 2019-07-26 北斗航天汽车(北京)有限公司 A kind of analog detection method of the entire new energy automobile Facad structure minibus based on CAE
CN112036054B (en) * 2019-05-15 2024-06-11 广汽埃安新能源汽车有限公司 Finite element calculation method, system and medium for structural performance of extruded aluminum alloy beam
CN112036054A (en) * 2019-05-15 2020-12-04 广州汽车集团股份有限公司 Finite element calculation method, system and medium for structural performance of extruded aluminum alloy beam
CN112651074A (en) * 2019-10-10 2021-04-13 广州汽车集团股份有限公司 Automobile collision model simplifying method and method for developing collision performance of automobile collision model
CN111625902A (en) * 2020-05-11 2020-09-04 恒大新能源汽车投资控股集团有限公司 Equivalent simulation method for electric automobile column collision
CN111767666A (en) * 2020-06-24 2020-10-13 中国第一汽车股份有限公司 CAE simulation method for laser welding connection of automobile parts
CN112163363A (en) * 2020-10-26 2021-01-01 上海中氐实业股份有限公司 Finite element model design method for collision honeycomb barrier bonding colloid
CN112163363B (en) * 2020-10-26 2022-02-18 上海中氐实业股份有限公司 Finite element model design method for collision honeycomb barrier bonding colloid
CN112948983A (en) * 2021-04-20 2021-06-11 吉林大学 Automobile front-end structure energy management method cooperating with front collision multi-working condition
CN112948983B (en) * 2021-04-20 2022-04-05 吉林大学 Automobile front-end structure energy management method cooperating with front collision multi-working condition
CN113408046A (en) * 2021-05-20 2021-09-17 大连理工大学宁波研究院 Multi-disciplinary optimization method for variable-spacing arrangement of riveting points based on crashworthiness
CN113408046B (en) * 2021-05-20 2023-09-22 大连理工大学宁波研究院 Multidisciplinary optimization method for riveting point variable-pitch arrangement based on crashworthiness
CN113283012A (en) * 2021-06-09 2021-08-20 中车青岛四方机车车辆股份有限公司 Finite element modeling simulation method and device for vehicle body structure formed by hollow section
CN113312828A (en) * 2021-07-29 2021-08-27 江铃汽车股份有限公司 Method for judging integrity of automobile fuel pipeline
CN113312828B (en) * 2021-07-29 2021-11-12 江铃汽车股份有限公司 Method for judging integrity of automobile fuel pipeline
CN114001974B (en) * 2021-09-23 2023-09-22 中汽研汽车检验中心(天津)有限公司 Method for evaluating contribution of vehicle front component to passenger cabin collision response
CN114001974A (en) * 2021-09-23 2022-02-01 中汽研汽车检验中心(天津)有限公司 Method for evaluating collision response contribution of vehicle front component to passenger compartment
CN114088430A (en) * 2021-11-18 2022-02-25 中车长春轨道客车股份有限公司 Method, device and equipment for testing crushing of rail vehicle and storage medium
CN114088430B (en) * 2021-11-18 2023-05-23 中车长春轨道客车股份有限公司 Method, device, equipment and storage medium for testing crushing of railway vehicle
CN114444316A (en) * 2022-01-30 2022-05-06 陕西省公路局 Simulation test method for collision between automobile and rigid heightened guardrail
CN115169001B (en) * 2022-07-08 2023-04-04 中南大学 Construction method of simplified model of railway vehicle, collision simulation method and system
CN115169001A (en) * 2022-07-08 2022-10-11 中南大学 Construction method of simplified model of railway vehicle, collision simulation method and system
WO2024007623A1 (en) * 2022-07-08 2024-01-11 中南大学 Method for constructing simplified models of railway vehicle, collision simulation method and system
CN116011297A (en) * 2023-02-01 2023-04-25 重庆大学 Method and system for calculating dynamic stiffness of bow based on energy
CN116011297B (en) * 2023-02-01 2024-01-30 重庆大学 Method and system for calculating dynamic stiffness of bow based on energy
CN115809514A (en) * 2023-02-09 2023-03-17 中汽研汽车检验中心(天津)有限公司 Method, equipment and storage medium for establishing automobile collision simulation model
CN116341325A (en) * 2023-03-27 2023-06-27 重庆大学 Pier anti-collision facility design method and system
CN116341325B (en) * 2023-03-27 2024-01-30 重庆大学 Pier anti-collision facility design method and system

Similar Documents

Publication Publication Date Title
CN107256289A (en) The method for building up of car crass reduced parameter FEM model
CN106709151B (en) Design method for front end structure of automobile body with 25% overlap ratio collision on front side of automobile
CN107169164B (en) Consider the simplified model modeling method suitable for automobile Earlier designs of collision operating condition
CN106053092B (en) A kind of the sled test method and trolley of simulated automotive head-on crash
WO2020135425A1 (en) Head vehicle miniature construction method based on force and rigidity equivalence and head vehicle miniature
Wang et al. Structure-material-performance integration lightweight optimisation design for frontal bumper system
CN103077259A (en) Hypersonic speed guided missile multi-field coupling dynamics integrated simulation analysis method
CN106934117A (en) Automobile instrument panel assembly optimization method
CN110020466B (en) Negative poisson ratio structure energy-absorbing box collaborative optimization design method based on proxy model
CN113155474B (en) Automobile collision energy absorption test method, device, equipment and storage medium
CN110059418A (en) A kind of analog detection method of the entire new energy automobile Facad structure minibus based on CAE
Lei et al. Multiobjective discrete optimization using the TOPSIS and entropy method for protection of pedestrian lower extremity
CN109255141B (en) Optimization method for cross section shape of forward conceptual design of automobile body
CN114239149A (en) Commercial vehicle cab body-in-white light weight method based on collision performance optimization
CN104573246A (en) Front impact conceptual model design method for front structure of automobile
CN106021701B (en) Consider coachbuilt body beam framework collision modeling and the analysis method of plastic hinge characteristic
CN109063401B (en) Method for realizing structural contact force optimization by adopting equivalent static displacement
CN106777850A (en) A kind of automobile component design method based on simplified assessment
CN114239331A (en) Equivalent finite element simulation method for high-low temperature pendulum bob of front and rear bumpers of automobiles
CN102184283A (en) Simplified analysis method for bending characteristic of double-cap section thin-walled beam
CN114896688B (en) Design method of energy absorption box of vehicle body structure
CN103593557B (en) A kind of large-scale liquid strap-on rocket complexity modal identification method
Wang et al. Analytical modeling and collaborative optimization of the dynamic responses for barrier-vehicle-occupant system considering crashworthiness and compatibility
CN109871555A (en) A kind of simplification modeling method of fascia
Rais-Rohani et al. Reliability-based optimization of lightweight automotive structures for crashworthiness

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
WD01 Invention patent application deemed withdrawn after publication

Application publication date: 20171017

WD01 Invention patent application deemed withdrawn after publication