CN107529642A - The theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption - Google Patents
The theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption Download PDFInfo
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Abstract
The invention discloses the theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption, belong to field of automobile body design.The Forecasting Methodology includes：According to the different demarcation of deformation pattern it is basic shape for hat unit and flat unit first by single shape for hat thin walled beam structure, then calculates the bending collapse energy-absorption of basic shape for hat unit, flat unit, finally calculate the total energy-absorbing of single case shape for hat thin-walled deflection of beam conquassation.The present invention solves the problems, such as that body of a motor car crash-worthiness conceptual phase can not use finite element method or test method to carry out thin-walled beam deflection collapse energy-absorption and analyze due to lacking the geometrical model of detailed construction, it can be good at the vehicle body crash-worthiness design requirement for meeting the automobile concept design stage, suitable for solving with material with thickness, with different thick, the different material of material with thick, the different different thick single shape for hat thin-walled beam deflection collapse energy-absorption characteristic of material, the rapid evaluation and time update early stage to design is realized, shortens the construction cycle of body of a motor car.
Description
Technical field
The invention belongs to field of automobile body design, and in particular to the theoretical prediction of single shape for hat thin-walled beam deflection collapse energy-absorption
Method.
Background technology
Single shape for hat thin walled beam is the important endergonic structure of body of a motor car, and because it has, intensity is high, energy-absorbing effect is good, quality
The features such as light and be used widely in terms of automotive crash safety.It is detailed due to lacking in body structure conceptual phase
Construction geometry data, and design change is frequent so that is difficult with finite element method and instructs body structure
Crash-worthiness designs.Therefore, the theoretical prediction for studying thin walled beam collapse energy-absorption has important finger to the design of body structure crash-worthiness
Meaning is led, can be realized in the energy absorption characteristics of conceptual phase Computer Aided Design personnel's rapid extraction thin-wall construction to design side
The rapid evaluation and time update early stage of case, shorten the construction cycle of body of a motor car.
The Kecman of Belgrade universities has done a large amount of bend tests for rectangle and square-section thin walled beam, wherein to square
The flexural deformation pattern of shape thin walled beam has carried out labor, and proposes fixed hinge line and roll hinge line concept, but its
Shortcomings in terms of the selection of fixed hinge line and rolling hinge line, hinge line type is determined without rationally accurate, causes thin walled beam curved
The theoretical expectation values of bent energy-absorbing are bigger than normal.Kim T H and Reid S R et al. are cut on the basis of Kecman theoretical model to rectangle
Face thin walled beam moment of flexure and the relation of corner are improved, and are overcome Kecman theoretical models and are lacked without what kinematics was allowed
Point, but it does not determine accurately rationally still to cut with scissors line type.Chinese patent (CN102184283A) discloses a kind of double
The reduced chemical reaction kinetics model of Cap-style Section thin walled beam flexural property, further enrich thin-walled deflection of beam conquassation theory.It is Chinese special
Sharp (CN102322842A) discloses a kind of reduced chemical reaction kinetics model of box-type section thin walled beam flexural property, ensure that ideal plasticity
The in-plane deformation of bending area meets the condition that kinematics is allowed, and this method is applied into single shape for hat thin-walled beam deflection conquassation and inhaled
In energy theoretical prediction, still, single Cap-style Section is considered as entirety in the theoretical model for building single shape for hat thin walled beam, simplifies portion
Divide turnup structure so that the theoretical prediction result of single shape for hat thin-walled beam power absorbing is less than normal, and the theoretical model can not solve same material
Theoretical prediction problem of different thick, the different material with thick, the different single shape for hat thin-walled beam deflection collapse energy-absorption of the different thickness of material.
The deficiency and limitation of the theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption for more than, the present invention with
Based on Kecman thin-walled beam deflection conquassation theories, the Quasistatic Bending conquassation for establishing a kind of improved single shape for hat thin walled beam is theoretical
Model, and derive such Cap-style Section thin-walled deflection of beam collapse energy-absorption formula.By the way that single shape for hat thin walled beam structure is decomposed
For basic shape for hat unit and flat unit so that improved theoretical model can be applied to solve with material with thick, different thick, different with material
Theoretical prediction of the material with thick, the different different thick single shape for hat thin-walled beam deflection collapse energy-absorption of material.
Retrieved by domestic and international pertinent literature, in field of automobile body design, find no and similar be applied to same material
With the thick, theoretic prediction methods with different thick, the different material of material with thick, the different different thick single shape for hat thin-walled beam deflection collapse energy-absorption of material.
The content of the invention
It is an object of the invention to provide a kind of theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption, mainly solve
Body of a motor car crash-worthiness conceptual phase, Finite Element Simulation Analysis can not be used due to lacking the geometrical model of detailed construction
Or test method carries out the problem of thin-walled beam deflection collapse energy-absorption analysis.The present invention by calculating basic shape for hat unit peace respectively
The bending collapse energy-absorption of Slab element flexural deformation part calculates the total energy-absorbing of single shape for hat thin-walled deflection of beam conquassation, suitable for solving
With material with the thick, theoretical prediction with different thick, the different material of material with thick, the different different thick single shape for hat thin-walled beam deflection collapse energy-absorption of material, have more
There is generality.
In order to solve the above technical problems, the present invention is mainly realized by following steps：
Step (1), according to the different demarcation of deformation pattern it is basic shape for hat unit and flat board by single shape for hat thin walled beam structure
Unit two types；
Step (2), in single shape for hat thin walled beam bending deformation process, the bending collapse energy-absorption of basic shape for hat unit is calculated,
Hinge line is fixed including basic shape for hat unit, rolls hinge line dissipation energy；
Step (3), in single shape for hat thin walled beam bending deformation process, the bending collapse energy-absorption of calculate flat board unit, including
Flat unit fixes hinge line, rolls hinge line dissipation energy；
Step (4), calculate single shape for hat thin walled beam and the total energy-absorbing of conquassation is bent in bending deformation process.
Further, in the step (4), single total energy-absorbing W=W of shape for hat thin-walled deflection of beam conquassationh+Wp, wherein WhTo be basic
Shape for hat unit bending collapse energy-absorption, WpFlat unit bends collapse energy-absorption.
Further, the basic shape for hat unit bending collapse energy-absorption is：Wh=Whs+Whr, wherein WhsConsolidate for basic cap unit
Surely line dissipation energy, W are cut with scissorshrHinge line dissipation energy is rolled for basic shape for hat unit.
Further, the formula of the basic shape for hat unit fixation hinge line dissipation energy is：Its
Middle i is the quantity of fixed hinge line；lhsiIt is that basic shape for hat unit fixes the length for cutting with scissors line, mm；MhFor basic shape for hat unit material
Unit length plastic limit bending moment, N, andWherein σb-hFor the tensile strength of basic shape for hat unit material,
thIt is the thickness of basic shape for hat unit material, mm；θhsiThe plastic rotational angle of hinge line, rad are fixed for basic shape for hat unit.
Further, the formula of the basic shape for hat unit rolling hinge line dissipation energy is：Wherein
ΔsiIt is that basic shape for hat unit rolls the inswept areas of hinge line i, mm2；R is to roll the rolling radius for cutting with scissors line, mm.
Further, the flat unit bending collapse energy-absorption is：Wp=Wps+Wpr, wherein WpsHinge line is fixed for flat unit
Dissipation energy, WprHinge line dissipation energy is rolled for flat unit.
Further, the flat unit fixation hinge line dissipation energy is：Wherein lpsiIt is flat
Slab element fixes the length of hinge line, mm；MpFor the unit length plastic limit bending moment of flat unit material, N,
Wherein σb-pFor the tensile strength of flat unit material, tpIt is the thickness of flat unit material；θpsiHinge line is fixed for flat unit
Plastic rotational angle, rad.
Further, due to rolling hinge line without formation in flat unit flexural deformation part, therefore the flat unit rolls
The energy W that dynamic hinge line dissipatespr=0.
The beneficial effects of the invention are as follows：
(1) present invention, can be with by the way that single shape for hat thin walled beam is divided into basic shape for hat unit and flat unit two types
For solving with material with thick, pre- with the theory of thick, the different different thick single shape for hat thin-walled beam deflection collapse energy-absorption of material with different thick, the different material of material
Survey, with more generality.
(2) present invention rationally determines twisted wire type, twisted by removing according to single shape for hat thin-walled beam deflection conquassation deformation characteristicses
Line BG, BE, and using twisted wire KA, LA as fixed twisted wire processing, the theory for avoiding single shape for hat thin-walled beam deflection collapse energy-absorption is pre-
Measured value is bigger than normal so that the calculated results are more accurate.
(3) present invention is by calculating the total energy-absorbing of single case shape for hat thin-walled deflection of beam conquassation, so as to establish single shape for hat thin walled beam
Bend the theoretical prediction formula of collapse energy-absorption；The theoretical prediction formula can solve the problem that body of a motor car crash-worthiness conceptual phase,
Due to lacking the geometrical model of detailed construction, and finite element method or test method can not be used to carry out the conquassation of thin-walled beam deflection and inhale
The problem of analyzing, it can be good at the vehicle body crash-worthiness design requirement for meeting the automobile concept design stage, realize to design side
The rapid evaluation and time update early stage of case, shorten the construction cycle of body of a motor car.
Brief description of the drawings
Fig. 1 is the theoretic prediction methods flow chart of single shape for hat thin-walled beam deflection collapse energy-absorption；
Fig. 2 is single shape for hat thin-walled beam deflection conquassation initial model；
Fig. 3 is the exploded view of single shape for hat thin walled beam structure；
Fig. 4 is the bending conquassation fold model of basic shape for hat unit；
Fig. 5 is the bending conquassation fold model of flat unit；
Fig. 6 is basic shape for hat unit bending conquassation longitudinal cross-section schematic diagram；
Fig. 7 is BAD section plans；
Fig. 8 is the three-point bending operating mode schematic diagram of single shape for hat thin walled beam；
Fig. 9 is the sectional dimension schematic diagram of single shape for hat thin walled beam；
Figure 10 is the emulation in section 1 and the energy absorption curve contrast of theoretical prediction model；
Figure 11 is the emulation in section 2 and the energy absorption curve contrast of theoretical prediction model；
Figure 12 is the emulation in section 3 and the energy absorption curve contrast of theoretical prediction model；
Figure 13 is the emulation in section 4 and the energy absorption curve contrast of theoretical prediction model；
Figure 14 is the emulation in section 5 and the energy absorption curve contrast of theoretical prediction model；
Figure 15 is the emulation in section 6 and the energy absorption curve contrast of theoretical prediction model.
Wherein：The basic shape for hat units of 1-, 2- flat units, 3- pressure heads, 4- support cylinders, 5- solder joints.
Embodiment
The present invention is described further below in conjunction with the accompanying drawings：
The theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption of the present invention are basic by calculating respectively
The bending collapse energy-absorption of shape for hat unit 1 and flat unit 2, then obtain the total energy-absorbing of single shape for hat thin-walled deflection of beam conquassation.
Fig. 1 be the present invention single shape for hat thin-walled beam deflection collapse energy-absorption theoretic prediction methods flow chart, overall technology road
Line is summarised as four steps：
Fig. 2 is single shape for hat thin-walled beam deflection conquassation initial model, and the axial length of single shape for hat thin walled beam is l, flange width
For a, web height b, flange width is f, and thin-walled cantilever thickness is th, using point K as origin, along hinge line KL, KG and KK1Direction point
Not Wei x-axis, y-axis and z-axis establish rectangular coordinate system, wherein AB, EL is parallel with y-axis, GE, H1F1It is parallel with x axles, GH1、BC1、EF1
Parallel with z-axis, point D is the midpoint for cutting with scissors line KL, and point B is line segment GE midpoint, point C1It is line segment H1F1Midpoint；In view of structure
Axial symmetry, only list in Fig. 4 basic shape for hat unit 1 half it is axially symmetric simplify bending conquassation fold model；Curved
During song, it is θ to make plastic rotational angle, and the unstretched length of deformed region is 2h, it can be seen from minimum energy-absorbing principle, h be equal to a and
Smaller in b.
Step 1, according to the different demarcation of deformation pattern it is basic shape for hat unit 1 and flat board by single shape for hat thin walled beam structure
The two types of unit 2, as shown in Figure 3.
Step 2, in single shape for hat thin walled beam bending deformation process, the bending collapse energy-absorption of basic shape for hat unit 1 is calculated,
Hinge line dissipation energy is fixed including basic shape for hat unit 1, rolls hinge line dissipation energy.
The theoretical derivation method of the bending collapse energy-absorption of basic shape for hat unit 1 is specifically introduced with reference to Fig. 4,5,6,7：
Assuming that the deformation of basic shape for hat unit 1 caused by bending conquassation only occurs in the axial direction of beam, and each deformation plance
Between stretching and compression phenomena, the fixed hinge line (hinge that position does not change in Collapse of Concrete of basic shape for hat unit 1 is not present
Line) include GH, EF, BC, AB, GK, EL, KK1、LL1, KL, KA and AL, roll hinge line (position changes in Collapse of Concrete
Hinge line) include AG and AE, as shown in Figure 4.
(1) the fixed hinge line dissipation energy of basic shape for hat unit 1 is calculated
By Fig. 6 can invocation point B coordinate be：xB=h,zB=0, wherein ρ are
Plastic rotational angle θ half, i.e.,It can be obtained by Fig. 2,6：GB=EB=h, KL=2h, GK=EL=b,Then haveIt can be obtained by Fig. 7：yA=yB,Then have
The formula that basic shape for hat unit 1 fixes hinge line dissipation energy is：
Wherein i is the quantity of fixed hinge line；lhsiIt is that basic shape for hat unit 1 fixes the length for cutting with scissors line, mm；MhFor basic cap
The unit length plastic limit bending moment of the material of type unit 1, N, andWherein σb-hFor the basic material of shape for hat unit 1
Tensile strength, thIt is the thickness of the basic material of shape for hat unit 1, mm；θhsiThe plasticity that hinge line is fixed for basic shape for hat unit 1 turns
Angle, rad.
1. the length for understanding fixed hinge line GH and EF by Fig. 2,4,6 isPlastic rotational angle is α, then fixed hinge line GH
It is with EF dissipation energies：
2. the length for understanding fixed hinge line BC by Fig. 2,4,6 isPlastic rotational angle isThen fixed hinge line BC dissipation energies are：
3. the plastic rotational angle that fixed hinge line AB is understood by Fig. 4,6,7 is π -2 β, its length is ZA, then yield line is fixed
The energy to be dissipated on AB is：
4. as shown in figure 4, fixed hinge line GK and EL length is b, make line segment AQ perpendicular to GK, if fixed hinge line GK and EL
Plastic rotational angle be η, i.e. η=∠ BQA, A Q=h can be obtained according to geometrical relationship in figure, thenSo as to which fixed hinge line GK and EL dissipation energy is：
5. as shown in figure 4, fixed hinge line KK1And LL1Length be f, plastic rotational angle ρ, then fix yield line KK1
And LL1Upper dissipation energy is：
6. as shown in fig. 7, fixed hinge line KL length is 2h, if fixed hinge line KL corner is ξ, can be obtained by geometrical relationshipThen fixing yield line KL dissipation energies is：
7. understand that point A, G, K, L coordinate are respectively (0, y according to geometrical relationship in Fig. 4A, zA), (bsin ρ, bcos ρ,
0), (0,0,0), (2h, 0,0), then
IfWithIt is face GKA and face KAL normal vector respectively, if λ is fixed hinge line KA plastic rotational angle, then hasThen fixed hinge line KA and LA dissipate
Energy is：
Then the fixed hinge line dissipation energy in the basic flexural deformation part of shape for hat unit 1 is：
(2) calculate basic shape for hat unit 1 and roll hinge line dissipation energy
The formula that basic shape for hat unit 1 rolls hinge line dissipation energy is：
Wherein ΔsiIt is that basic shape for hat unit rolls the inswept areas of hinge line i, mm2；R is the rolling radius for rolling hinge line,
mm。
Then rolling hinge line AG and AE dissipation energy is：
Wherein r is the rolling radius for rolling hinge line, and its value is approximately
Then the rolling hinge line dissipation energy in the basic flexural deformation part of shape for hat unit 1 is：
Whr=2WAG+AE (11)
The bending collapse energy-absorption that basic shape for hat unit 1 can to sum up be obtained is：
Wh=Whs+Whr (12)
Step 3, in single shape for hat thin walled beam bending deformation process, the bending collapse energy-absorption of calculate flat board unit 2, including
Flat unit fixes hinge line, rolls hinge line dissipation energy.
Fixed hinge line in the flexural deformation part of flat unit 2 includes K2N2And L2M2, as shown in Figure 5.
(1) the fixed hinge line dissipation energy of calculate flat board unit 2
Flat unit 2 fixes hinge line dissipation energy：
Wherein lpsiIt is that flat unit 2 fixes the length for cutting with scissors line, mm；MpFor the unit length plasticity pole of the material of flat unit 2
Limit moment of flexure, N,Wherein σb-pFor the tensile strength of the material of flat unit 2, tpIt is the thickness of the material of flat unit 2
Degree；θpsiThe plastic rotational angle of hinge line, rad are fixed for flat unit 2.
Fixed hinge line K as shown in Figure 52N2And L2M2Length bePlastic rotational angle is ρ, then fixed hinge
Line K2N2And L2M2Dissipation energy is：
Then the fixed hinge line dissipation energy in the flexural deformation part of flat unit 2 is：
(2) due to cutting with scissors line without rolling in the flexural deformation part of flat unit 2, so the flexural deformation part of flat unit 2
In rolling hinge line dissipation energy be Wpr=0；
The bending collapse energy-absorption that flat unit 2 can to sum up be obtained is：
Wp=Wps+Wpr (16)
Step 4, then single shape for hat thin walled beam the total energy-absorbing of conquassation bent in bending deformation process be：W=Wh+Wp。
By the physical dimension to order shape for hat thin walled beam and the material properties of basic shape for hat unit 1 and flat unit 2,
Basic shape for hat unit 1 can be tried to achieve according to the theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption proposed by the invention
The energy of line dissipation is cut with scissors with flat unit 2, so as to try to achieve overall structure dissipation energy and plastic rotational angle in bending deformation process
Relation curve (W (θ)-θ curves).
Embodiment：
Below the present invention is proved from single shape for hat thin walled beam of 6 kinds of different materials, different cross section size, different-thickness combination
The implementation result of method, BLD, BLC are steel material, and 6060-T6,6063-T6 are aluminum alloy materials, due to physical test into
This is higher, the theoretical prediction result of the inventive method is verified used here as Finite Element Simulation Analysis, in the present embodiment, for list
Relevant comparative's analysis of shape for hat thin walled beam is carried out under 3 points of curved operating modes of quasistatic；Fig. 8 is the three-point bending of single shape for hat thin walled beam
Operating mode schematic diagram, Fig. 9 are the sectional dimension schematic diagram of single shape for hat thin walled beam；In the three-point bending operating mode of single shape for hat thin walled beam,
The diameter of pressure head 3 and support cylinder 4 is 25mm, and the distance between two support cylinders 4 are 300mm, the length of single shape for hat thin walled beam
It is 30mm to spend for 400mm, the spacing of solder joint 5 (spacing on thin walled beam axial direction)；During experiment, the speed V of pressure head 30It is permanent
For 5mm/min, to ensure the complete conquassation of thin walled beam, the conquassation distance of pressure head 3 is set to 60mm.
Table 1 lists the sectional dimension and material properties information of 6 kinds of single shape for hat thin walled beams, covers a>B, a=b and a<
B situation and with material with it is thick, with different thick, the different material of material with the basic shape for hat units 1 of the different thick difference of thick and different material and flat units
2 combined situation, therefore this proof scheme more can comprehensively verify the versatility of theoretical formula of the present invention.
The sectional dimension and material properties of the single shape for hat thin walled beam of table 1
The inventive method of table 2 contrasts with simulation result
Table 2 is that corresponding single shape for hat thin-walled beam deflection conquassation in table 1 is inhaled using the Forecasting Methodology and simulation analysis of the present invention
The result of calculation contrast of energy, the energy-absorbing value that the inventive method is calculated as can be seen from Table 2 are closer to simulation result,
Error amount is all controlled within 5%.Figure 10-15 is 6 kinds of different materials, different cross section size, single shape for hat of different-thickness combination
The theoretical calculation of thin walled beam dissipation energy and plastic rotational angle relation curve contrasts with FEM Numerical Simulation, it is found that utilizes
The theoretic prediction methods result of calculation of single shape for hat thin-walled beam deflection collapse energy-absorption of the present invention is on numerical value and variation tendency
Energy-absorbing result all with emulation is close, and computational accuracy is significantly larger than Kecman bending conquassation theories.
In summary, the theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption proposed by the present invention, can be by reality
Single shape for hat thin-walled deflection of beam conquassation deformation pattern shows, and is capable of the energy-absorbing of Accurate Prediction list shape for hat thin-walled beam deflection conquassation
Value.This shows that in the vehicle body Study on Crashworthiness in the automobile concept design stage the inventive method can be good at meeting that automobile is general
Read the vehicle body crash-worthiness design requirement of design phase, and suitable for solve with material with it is thick, with different thick, the different material of material with it is thick, different material is different
Thick single shape for hat thin-walled beam deflection collapse energy-absorption characteristic, it is possible to achieve to the rapid evaluation and time update early stage of design,
Shorten the construction cycle of body of a motor car.
It is described above that the present invention is briefly described, not by above-mentioned working range limit value, as long as taking the present invention
Thinking and method of work carry out simple modification and apply to other equipment, or make and changing in the case where not changing central scope principle of the present invention
Enter and retouch etc. behavior, within protection scope of the present invention.
Claims (8)
1. the theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption, it is characterised in that comprise the following steps：
(1) it is, two kinds of basic shape for hat unit and flat unit according to the different demarcation of deformation pattern by single shape for hat thin walled beam structure
Type；
(2), in single shape for hat thin walled beam bending deformation process, the bending collapse energy-absorption of basic shape for hat unit is calculated, including it is basic
Shape for hat unit fixes hinge line, rolls hinge line dissipation energy；
(3), in single shape for hat thin walled beam bending deformation process, the bending collapse energy-absorption of calculate flat board unit, including flat unit
Fixed hinge line, roll hinge line dissipation energy；
(4), calculate single shape for hat thin walled beam and the total energy-absorbing of conquassation is bent in bending deformation process.
2. the theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption according to claim 1, it is characterised in that institute
State in step (4), single total energy-absorbing W=W of shape for hat thin-walled deflection of beam conquassationh+Wp, wherein WhFor basic shape for hat unit bending conquassation
Energy-absorbing, WpFlat unit bends collapse energy-absorption.
3. the theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption according to claim 2, it is characterised in that institute
Stating basic shape for hat unit bending collapse energy-absorption is：Wh=Whs+Whr, wherein WhsHinge line dissipation energy is fixed for basic shape for hat unit,
WhrHinge line dissipation energy is rolled for basic shape for hat unit.
4. the theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption according to claim 3, it is characterised in that institute
Stating the formula that line dissipation energy is cut with scissors in basic shape for hat unit fixation is：Wherein i is the number of fixed hinge line
Amount；lhsiIt is that basic shape for hat unit fixes the length for cutting with scissors line, mm；MhFor the unit length plastic limit of basic shape for hat unit material
Moment of flexure, N, andWherein σb-hFor the tensile strength of basic shape for hat unit material, thIt is basic shape for hat unit material
Thickness, mm；θhsiThe plastic rotational angle of hinge line, rad are fixed for basic shape for hat unit.
5. the theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption according to claim 3, it is characterised in that institute
Stating the formula that line dissipation energy is cut with scissors in basic shape for hat unit rolling is：Wherein ΔsiIt is basic shape for hat unit
Roll the inswept areas of hinge line i, mm2；R is to roll the rolling radius for cutting with scissors line, mm.
6. the theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption according to claim 2, it is characterised in that institute
Stating flat unit bending collapse energy-absorption is：Wp=Wps+Wpr, wherein WpsHinge line dissipation energy, W are fixed for flat unitprFor flat board
Unit rolls hinge line dissipation energy.
7. the theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption according to claim 6, it is characterised in that institute
Stating flat unit fixation hinge line dissipation energy is：Wherein lpsiIt is the length that flat unit fixes hinge line
Degree, mm；MpFor the unit length plastic limit bending moment of flat unit material, N,Wherein σb-pFor flat unit
The tensile strength of material, tpIt is the thickness of flat unit material；θpsiThe plastic rotational angle of hinge line, rad are fixed for flat unit.
8. the theoretic prediction methods of single shape for hat thin-walled beam deflection collapse energy-absorption according to claim 6, it is characterised in that by
Hinge line is rolled without formation in flat unit flexural deformation part, therefore the flat unit rolls the energy W of hinge line dissipationpr
=0.
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Cited By (3)
| 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 |
| CN109299558A (en) * | 2018-10-09 | 2019-02-01 | 吉林大学 | Mesh font thin walled beam three-point bending crush characteristics Analytical Solution method |
| CN110362885A (en) * | 2019-06-26 | 2019-10-22 | 东风商用车有限公司 | Truck cap roof is crushed simulating analysis |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102184283A (en) * | 2011-04-29 | 2011-09-14 | 吉林大学 | Simplified analysis method for bending characteristic of double-cap section thin-walled beam |
| CN103559354A (en) * | 2013-11-08 | 2014-02-05 | 吉林大学 | Simplified analysis method for collision bending of thin-wall curved beam of automotive body |
| CN106021701A (en) * | 2016-05-17 | 2016-10-12 | 吉林大学 | Car body beam frame collision modeling and analysis method considering characteristics of plastic hinge |
-
2017
- 2017-07-28 CN CN201710629052.9A patent/CN107529642B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102184283A (en) * | 2011-04-29 | 2011-09-14 | 吉林大学 | Simplified analysis method for bending characteristic of double-cap section thin-walled beam |
| CN103559354A (en) * | 2013-11-08 | 2014-02-05 | 吉林大学 | Simplified analysis method for collision bending of thin-wall curved beam of automotive body |
| CN106021701A (en) * | 2016-05-17 | 2016-10-12 | 吉林大学 | Car body beam frame collision modeling and analysis method considering characteristics of plastic hinge |
Non-Patent Citations (2)
| Title |
|---|
| 顾纪超等: "异材异厚帽型梁结构轴向压溃理论研究", 《汽车工程学报》 * |
| 黄贵龙: "概念设计阶段前纵梁弯曲特性研究", 《中国优秀硕士学位论文全文数据库基础科学辑》 * |
Cited By (6)
| 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 |
| 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 |
| CN109299558A (en) * | 2018-10-09 | 2019-02-01 | 吉林大学 | Mesh font thin walled beam three-point bending crush characteristics Analytical Solution method |
| CN109299558B (en) * | 2018-10-09 | 2023-04-07 | 吉林大学 | Three-point bending crushing characteristic analytical solving method for mesh-shaped thin-walled beam |
| CN110362885A (en) * | 2019-06-26 | 2019-10-22 | 东风商用车有限公司 | Truck cap roof is crushed simulating analysis |
| CN110362885B (en) * | 2019-06-26 | 2020-04-07 | 东风商用车有限公司 | Simulation analysis method for crushing top of truck cab |
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