CN105825001B - Design method of the reinforced few main spring of piece variable cross-section in parabolic segment and auxiliary spring gap - Google Patents
Design method of the reinforced few main spring of piece variable cross-section in parabolic segment and auxiliary spring gap Download PDFInfo
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Abstract
The present invention relates to reinforced few main springs of piece variable cross-section in the design method of parabolic segment and auxiliary spring gap, belongs to suspension leaf spring technical field.The present invention can be according to the main spring of the reinforced variable cross-section in each end and root structure size, elasticity modulus, it is first determined go out the endpoint deformation coefficient of each main springG x‑Fi And theNDeformation coefficient of the main spring of piece at parabolic segment and auxiliary spring contact pointG x‑CD;Then, according to auxiliary spring work load andG x‑Fi , obtainNThe endpoint power of the main spring of pieceF N ;Then, according toNThe root flat segments thickness of the main spring of piece,F N 、G x‑CD, major-minor spring gap is designed.By simulating, verifying it is found that the major-minor spring gap design value of the main spring of the reinforced few piece variable cross-section in accurate, reliable end and root can be obtained using method, horizontal product design and performance and vehicle ride comfort are improved;Meanwhile design and testing expenses are reduced, accelerate product development speed.
Description
Technical field
The present invention relates to vehicle suspension leaf spring, especially reinforced few main spring of piece variable cross-section is in parabolic segment and auxiliary spring
The design method in gap.
Background technology
For few piece variable-section steel sheet spring, in order to meet the requirement of variation rigidity, it is usually designed to major and minor spring,
In, main spring is designed with certain gap at the contact position that connects with auxiliary spring, it is ensured that after more than certain load, main spring and pair
Spring is contacted and is cooperatively worked, and meets in the case of different loads vehicle suspension to the design requirement of leaf spring rigidity.Due to
The 1st its stress of the main spring of few piece variable cross-section is complicated, is subjected to vertical load, while also subject to torsional load and longitudinal load
Lotus, therefore, the end thickness of the 1st leaf spring designed by reality, usually than other each partially thicker, i.e., mostly
Using few piece variable-section steel sheet spring of the non-equal structures in end;Meanwhile it is strong at variable cross-section end and root in order to reinforce main spring
Degree, by between main spring end flat segments and parabolic segment and between root flat segments and parabolic segment, adding an oblique line
Strengthening segment uses end is non-to wait structures and end and root few main spring of piece variable cross-section with oblique line strengthening segment.In addition, due to
The length of used auxiliary spring is different, i.e., auxiliary spring is different from the contact position of main spring, therefore, for few piece parabolic type variable cross-section
Major and minor leaf spring can be divided into the contact of end flat segments and in the two types that parabolic segment contacts, to meet major-minor spring not
With the design requirement of complex stiffness.Then, since the reinforced few piece variable-section steel sheet spring in end and root becomes at an arbitrary position
Shape calculating is extremely complex, previously fails to provide the reinforced few main spring of piece variable cross-section in end and root always in parabolic segment and auxiliary spring
The design method in the major and minor spring gap at contact point.
Although previous once someone gives the design method of few piece bias type variable-section steel sheet spring, for example, Peng is not, Gao Jun
Zeng《Automobile engineering》, (volume 14) the 3rd phase in 1992, it is proposed that the design and calculation method of Varied section leaf spring, this method
It is designed primarily directed to few piece parabolic type variable-section steel sheet spring of the structures such as end, shortcoming is cannot to meet end
The design requirement of few piece variable-section steel sheet spring of non-equal structures can not meet the main spring of the reinforced few piece variable cross-section in end and root
The design in the major and minor spring gap at parabolic segment and auxiliary spring contact point.With the development of computer and finite element emulation software,
Although the deformation of few main spring of piece variable cross-section of someone's equal structures once non-to end at present, using ANSYS modeling and simulating methods, the party
Method is only capable of the deformation of few piece variable-section steel sheet spring to providing actual design structure or rigidity carries out simulating, verifying, cannot provide
Accurate analytical design method formula can not meet vehicle fast development and modernize CAD design software development to suspension leaf spring
Requirement.It is connect in parabolic segment and auxiliary spring therefore, it is necessary to establish the reinforced few main spring of piece in accurate, the reliable end of one kind and root
The design method in the major and minor spring gap at contact meets Vehicle Industry fast development and to few major and minor leaf spring of piece variable cross-section
The requirement of gap careful design improves design level, the product quality and performances of variable-section steel sheet spring, and it is flat to improve vehicle traveling
Pliable and safety;Meanwhile design and testing expenses are reduced, accelerate product development speed.
Invention content
Defect present in for the above-mentioned prior art, technical problem to be solved by the invention is to provide it is a kind of it is easy,
Reliable reinforced few main spring of piece variable cross-section is in the design method of parabolic segment and auxiliary spring gap, design flow diagram, such as Fig. 1 institutes
Show.The reinforced few piece variable cross-section major-minor spring in end and root is symmetrical structure, and the spring of half symmetrical structure can regard cantilever beam as,
That is root fixing end of the symmetrical center line as half spring, the end stress point of main spring and auxiliary spring contact are regarded as respectively as main spring
Endpoint and auxiliary spring endpoint.The half symmetrical structure schematic diagram of the main spring of the reinforced few piece variable cross-section in end and root, as shown in Fig. 2,
Wherein, including:Main spring 1, root shim 2, auxiliary spring 3, end pad 4;The half length of main spring 1 each is L, straight by root
Section, root oblique line section, parabolic segment, end oblique line section and five sections of compositions of end flat segments, root oblique line section and end oblique line section
Booster action is risen to tapered spring;Main reed number is N, and the thickness of every root flat segments is h2, clipping room away from half be
l3, the root thickness of parabolic segment is h2p, the end thickness of parabolic segment is h1ip, i.e. the thickness ratio β of parabolic segmenti=h1ip/
h2p;The length of root oblique line section is Δ l2, i.e. thickness ratio γ=h of root oblique line section2p/h2, the root of root oblique line section to master
The distance l of spring endpoint2=L-l3;Distance l of the root of parabolic segment to main spring endpoint2p=L-l3-Δl2, each main spring end
Distance l of the root of oblique line section to spring endpoint1ip=l2βi 2, 1 each end flat segments of main spring are non-equal structures, i.e. the 1st main spring
The thickness and length of end flat segments, the respectively greater than thickness and length of other each main spring end flat segments;Each end is oblique
The length of line segment is Δ l1, the thickness of each end flat segments is h1i, the distance l of end oblique line section end to spring endpoint1i=
l1ip-Δl1;Thickness ratio μ=h of end oblique line section1i/h1ip;Each root flat segments of main spring 1 and straight with the root of auxiliary spring 3
It is equipped with root shim 2 between section, end pad 4 is equipped between the end flat segments of main spring 1, the material of end pad is carbon fiber
Composite material, for reducing frictional noise caused by spring works.The half length of auxiliary spring 3 is LA, i.e. the end of auxiliary spring 3 connects
The horizontal distance of contact to 1 endpoint of main spring is l0;It is equipped between the N pieces parabolic segment of main spring 1 and the end contact point of auxiliary spring 3
Certain major and minor spring gap delta is worked the requirement of load with meeting auxiliary spring.Each chip architecture parameter of main spring, elasticity modulus,
Auxiliary spring length, auxiliary spring work load it is given in the case of, few main spring of piece variable cross-section reinforced to end and root is in parabolic segment
Major-minor spring gap between auxiliary spring contact is designed.
In order to solve the above technical problems, reinforced few main spring of piece variable cross-section provided by the present invention is in parabolic segment and auxiliary spring
The design method in gap, it is characterised in that use following design procedure:
(1) the endpoint deformation coefficient G of the main spring of the reinforced variable cross-section in each end and rootx-FiIt calculates:
According to the half length L of the reinforced few main spring of piece variable cross-section in end and root, width b, elastic modulus E, root is oblique
The length Δ l of line segment2, the length Δ l of end oblique line section1, the thickness ratio γ of root oblique line section, the thickness ratio μ of end oblique line section,
Distance l of the root of root oblique line section to main spring endpoint2, the distance l of the root of parabolic segment to main spring endpoint2p, main reed number
N, wherein the thickness ratio β of the parabolic segment of i-th main springi, the root of i-th main spring end oblique line section to spring endpoint away from
From l1ip, the distance l of i-th main spring end oblique line section end to spring endpoint1i, i=1,2 ..., N, to each end and root
The endpoint deformation coefficient G of the main spring of reinforced few piece variable cross-sectionx-FiIt is calculated, i.e.,
Deformation coefficient of the main spring of the reinforced variable cross-section in (2) N pieces ends and root in parabolic segment and auxiliary spring contact point
Gx-CDIt calculates:According to the half length L of the reinforced few main spring of piece variable cross-section in end and root, width b, elastic modulus E, root is oblique
The length Δ l of line segment2, the distance l of the root of root oblique line section to main spring endpoint2, the root of parabolic segment to main spring endpoint away from
From l2p, thickness the ratio γ, the horizontal distance l of auxiliary spring contact and main spring endpoint of root oblique line section0, main reed number N, to N bit ends
Deformation coefficient G of the main spring of the reinforced variable cross-section in portion and root at parabolic segment and auxiliary spring contact pointx-CDIt is calculated, i.e.,
(3) auxiliary spring works the endpoint power F of the main spring of the reinforced variable cross-section in N pieces end and root under loadNIt calculates:
I steps:According to the thickness h of the root flat segments of the main spring of the reinforced few piece variable cross-section in each end and root2, main spring
Deformation coefficient G of each main spring being calculated in the piece number N and step (1) at endpoint locationx-Fi, determine each end and
The half stiffness K of the main spring of the reinforced variable cross-section in rootMi, i.e.,
II steps:The i.e. single-ended point load P of half for the load that worked according to required auxiliary spring, main reed number N and I step
The half stiffness K of identified each main spring in rapidMi, to the endpoint stress of the main spring of the reinforced variable cross-section in N pieces end and root
FNIt is calculated, i.e.,
(4) between reinforced few major and minor spring of the main spring of piece variable cross-section between parabolic segment and auxiliary spring contact in end and root
Gap δ designs:According to the thickness h of the root flat segments of the main spring of the reinforced variable cross-section in each end and root2, main reed number N, II step
The endpoint power F for the main spring of N pieces being calculated in rapidNAnd the G being calculated in step (2)x-CD, reinforced to end and root
Few major and minor spring gap delta of the main spring of piece variable cross-section at parabolic segment with auxiliary spring contact point is designed, i.e.,
The present invention has the advantage that than the prior art
Since deform calculating at an arbitrary position extremely complex for the reinforced few piece variable-section steel sheet spring in end and root, because
This, previously fails always the design method for being given at parabolic segment and the major and minor spring gap at auxiliary spring contact point.Although someone was once
The major and minor spring gap of piece parabolic type variable cross-section is lacked to reinforcement end and uses ANSYS modeling and simulating methods, but this method is only capable of pair
The deformation for providing few piece variable-section steel sheet spring of actual design structure carries out simulating, verifying, cannot provide accurate analytical design method
Formula can not meet vehicle fast development and modernize the requirement of CAD design software development to few piece variable-section steel sheet spring.
The present invention can be first according to each end and the root reinforced structure size of the main spring of piece variable cross-section, elasticity modulus less
First determine deformation coefficient and N piece main spring of each main spring at endpoint location at parabolic segment and auxiliary spring contact point
Deformation coefficient;Then, the deformation coefficient and rigidity by each at endpoint location obtains the main spring of N pieces and is shared in endpoint
Load;Then, the load that N pieces are shared in endpoint, and the deformation coefficient at parabolic segment and auxiliary spring contacting points position,
Major and minor spring gap at parabolic segment with auxiliary spring contacting points position is designed.
By designing example and ANSYS simulating, verifyings it is found that accurate, reliable end and root reinforcement can be obtained in this method
Type lacks major and minor spring gap parameter design value of the main spring of piece variable cross-section at parabolic segment and auxiliary spring contacting points position, be end and
The major and minor spring gap of the reinforced few piece variable-section steel sheet spring in root provides reliable design method, and is opened for CAD software
Hair has established reliable technical foundation.Using this method, the design water of the major and minor leaf spring of vehicle suspension variable cross-section can be improved
Flat, product quality and performances reduce bearing spring quality and cost, improve the conevying efficiency and ride performance of vehicle;Meanwhile
Design and testing expenses are also reduced, product development speed is accelerated.
Description of the drawings
For a better understanding of the present invention, it is described further below in conjunction with the accompanying drawings.
Fig. 1 is design flow diagram of the reinforced few main spring of piece variable cross-section in end and root in parabolic segment and auxiliary spring gap;
Fig. 2 is the half symmetrical structure schematic diagram of the reinforced few piece variable cross-section major-minor spring in end and root;
Fig. 3 is the deformation simulation cloud atlas of the main spring of the reinforced few piece variable-section steel sheet spring in end and root of embodiment one;
Fig. 4 is the deformation simulation cloud atlas of the main spring of the reinforced few piece variable-section steel sheet spring in end and root of embodiment two.
Specific embodiment
Below by embodiment, invention is further described in detail.
Embodiment one:The main reed number N=2 of certain reinforced few piece variable-section steel sheet spring, wherein the half of each main spring
Length L=575mm, width b=60mm, root thickness h2=11.43mm, clipping room away from half l3=55mm, root oblique line section
Length Δ l2=30mm, the length Δ l of end oblique line section1=30mm;Distance l of the root of root oblique line section to main spring endpoint2
=L-l3=520mm, the distance l of the root of parabolic segment to main spring endpoint2p=L-l3-Δl2=490mm;The root of parabolic segment
Portion's thickness h2p=10.29mm, i.e. thickness ratio γ=h of root oblique line section2p/h2=0.90;The end of the parabolic segment of 1st main spring
Portion's thickness h11p=5.66mm, i.e., the thickness ratio β of the parabolic segment of the 1st main spring1=h11p/h2pThe throwing of=0.55, the 2nd main spring
The end thickness h of object line segment12p=4.5mm, i.e., the thickness ratio β of the parabolic segment of the 2nd main spring2=h12p/h2p=0.44;1st
The thickness h of the end flat segments of the main spring of piece11=6.62mm, the thickness h of the end flat segments of 2 main springs12=5.27mm, that is, hold
Thickness ratio μ=h of portion's oblique line section11/h11p=h12/h12p=1.17;The root of 1st main spring end oblique line section is to main spring endpoint
Distance l11p=l2β1 2=148.23mm, the distance l of the root of the 2nd main spring end oblique line section to main spring endpoint12p=l2β2 2
=94.86mm, the length l of the end flat segments of the 1st main spring11=l11p-Δl1The end of=118.23mm, the 2nd main spring are flat
The length l of straight section12=l12p-Δl1=64.86mm.The half length L of auxiliary springA=365mm, auxiliary spring contact and main spring endpoint
Horizontal distance l0=L-LA=210mm, when load works load more than auxiliary spring, in auxiliary spring contact and main spring parabolic segment certain
Point is in contact.The required auxiliary spring of design works the i.e. single-ended point load P=1200N of half of load, to the end and root
Reinforced few major-minor spring gap of the piece variable-section steel sheet spring between parabolic segment and auxiliary spring contact is designed.
Reinforced few main spring of piece variable cross-section that present example is provided parabolic segment and auxiliary spring gap design method,
Its design cycle is as shown in Figure 1, be as follows:
(1) the endpoint deformation coefficient G of the main spring of the reinforced variable cross-section in each end and rootx-FiIt calculates:
According to the half length L=575mm of reinforced few main spring of piece variable cross-section, width b=60mm, elastic modulus E=
200GPa, the length Δ l of root oblique line section2=30mm, the length Δ l of end oblique line section1=30mm, the thickness of root oblique line section
Than γ=0.90, thickness ratio μ=1.17 of end oblique line section, the distance l of the root of root oblique line section to main spring endpoint2=
520mm, the distance l of the root of parabolic segment to main spring endpoint2p=490mm;Main reed number N=2, wherein the throwing of the 1st main spring
The thickness ratio β of object line segment1The thickness ratio β of the parabolic segment of=0.55, the 2nd main spring2=0.44, the 1st main spring end oblique line section
Root to main spring endpoint distance l11p=148.23mm, the distance of the root of the 2nd main spring end oblique line section to main spring endpoint
l12p=94.86mm, the length l of the end flat segments of the 1st main spring11=118.23mm, the end flat segments of the 2nd main spring
Length l12=64.86mm;To the endpoint deformation coefficient G of the 1st, the 2nd main spring of the reinforced variable cross-section in end and rootx-F1、
Gx-F2It is respectively calculated, i.e.,
Deformation coefficient of the main spring of the reinforced variable cross-section in (2) N pieces ends and root at parabolic segment and auxiliary spring contact point
Gx-CDIt calculates:
According to the half length L=575mm of reinforced few main spring of piece variable cross-section, width b=60mm, elastic modulus E=
200GPa, the length Δ l of root oblique line section2=30mm, the distance l of the root of root oblique line section to main spring endpoint2=520mm is thrown
Distance l of the root of object line segment to main spring endpoint2p=490mm, thickness ratio γ=0.90 of root oblique line section, auxiliary spring contact and master
The horizontal distance l of spring endpoint0=210mm, main reed number N=2 are throwing the 2nd main spring of the reinforced variable cross-section in end and root
Object line segment and the deformation coefficient G at auxiliary spring contact pointx-CDIt is calculated, i.e.,
(3) auxiliary spring works the endpoint power F of the main spring of the reinforced variable cross-section in N pieces end and root under load2It calculates:
I steps:According to the thickness h of the root flat segments of the main spring of the reinforced variable cross-section in each end and root2=
The G being calculated in 11.43mm, main reed number N=2 and step (1)x-F1=121.53mm4/ N and Gx-F2=127.33mm4/
N determines the half stiffness K of the 1st, the 2nd main spring of the reinforced variable cross-section in end and rootM1、KM2, respectively
II steps:The i.e. single-ended point load P=1200N of half load for the load that worked according to required auxiliary spring, main spring
Identified K in the piece number N=2 and I stepM1=12.29N/mm and KM2=11.73N/mm, work to auxiliary spring under load
The endpoint power F of the main spring of the reinforced variable cross-section in 2 ends and root2It is calculated, i.e.,
(4) between reinforced few major and minor spring of the main spring of piece variable cross-section between parabolic segment and auxiliary spring contact in end and root
Gap δ designs:According to the thickness h of the root flat segments of the main spring of the reinforced variable cross-section in each end and root2=11.43mm, main spring
The F being calculated in the piece number N=2, II step2Obtained G is calculated in=586.01N and step (2)x-CD=45.03mm4/
N, few major-minor spring gap delta of the main spring of piece variable cross-section between parabolic segment and auxiliary spring contact reinforced to end and root are set
Meter, i.e.,
Using ANSYS finite element emulation softwares, according to the main spring structure parameter of reinforced few piece variable-section steel sheet spring
And material characteristic parameter, the ANSYS simulation models of the half symmetrical structure of the main spring of reinforced few piece variable cross-section are established, net is divided
Lattice, and apply fixed constraint in the root of simulation model, apply concentrfated load P=1200N in endpoint, progress is deformed to it
ANSYS is emulated, obtained deformation simulation cloud atlas, as shown in Figure 3, wherein the main spring is in the change at end position 210mm
Shape amount δ=17.71mm.
It is found that in same load, ANSYS simulating, verifying value δ=17.71mm of the main spring deflection, with major-minor
Spring gap design value δ=17.67mm matches, and relative deviation is only 0.23%;The result shows that the invention provided it is reinforced
Few design method of the main spring of piece variable cross-section in parabolic segment with auxiliary spring gap is correct, and parameter design value is accurately and reliably.
Embodiment two:The piece number N=2 of the main spring of the reinforced few piece variable cross-section in certain end and root, wherein the one of each main spring
Half length L=600mm, width b=60mm, elastic modulus E=200GPa, the thickness h of each root flat segments2=14.79mm,
Clipping room away from half l3=60mm, the segment length Δ l of root oblique line2=30mm, the length Δ l of end oblique line section1=30mm;
Distance l of the root of root oblique line section to main spring endpoint2=L-l3=540mm, the distance of the root of parabolic segment to main spring endpoint
l2p=L-l3-Δl2=510mm;The root thickness h of parabolic segment2p=13.31mm, i.e. the thickness ratio γ of root oblique line section=
h2p/h2=0.90;The end thickness h of the parabolic segment of 1st main spring11p=7.32mm, i.e., the parabolic segment of the 1st main spring
Thickness ratio β1=h11p/h2p=0.55;The end thickness h of the parabolic segment of 2nd main spring12p=5.86mm, i.e. the 2nd main spring
The thickness ratio β of parabolic segment2=h12p/h2p=0.44;The thickness h of the end flat segments of 1st main spring11=8.56mm, 2 masters
The thickness h of the end flat segments of spring12=6.86mm, i.e. thickness ratio μ=h of end oblique line section11/h11p=h12/h12p=1.17;
Distance l of the root of 1st main spring end oblique line section to main spring endpoint11p=l2β1 2=154.28mm, the 2nd main spring end are oblique
Distance l of the root of line segment to main spring endpoint12p=l2β2 2=98.74mm;The length l of 1st main spring end flat segments11=
l11p-Δl1=124.28mm, the length l of the 2nd main spring end flat segments12=l12p-Δl1=68.74mm.The half of auxiliary spring
Length LA=380mm, horizontal distance l of the auxiliary spring contact to main spring endpoint0=L-LA=220mm, when load works more than auxiliary spring
When load, auxiliary spring contact is in contact with certain point in main spring parabolic segment.Required auxiliary spring work load half it is i.e. single-ended
Point load P=3000N, few piece variable-section steel sheet spring reinforced to the end and root is between parabolic segment and auxiliary spring contact
Major-minor spring gap be designed.
Using design method identical with embodiment one and step, to reinforced few piece variable-section steel sheet spring in parabolic
Line segment is designed with the major-minor spring gap at auxiliary spring contact point, is as follows:
(1) the endpoint deformation coefficient G of the main spring of the reinforced variable cross-section in each end and rootx-FiIt calculates:
According to the half length L=600mm of reinforced few main spring of piece variable cross-section, width b=60mm, elastic modulus E=
200GPa, the length Δ l of root oblique line section2=30mm, the length Δ l of end oblique line section1=30mm, the thickness of root oblique line section
Than γ=0.90, thickness ratio μ=1.17 of end oblique line section, the distance l of the root of root oblique line section to main spring endpoint2=
540mm, the distance l of the root of parabolic segment to main spring endpoint2p=510mm, main reed number N=2, wherein the throwing of the 1st main spring
The thickness ratio β of object line segment1The thickness ratio β of the parabolic segment of=0.55, the 2nd main spring2=0.44, the 1st main spring end oblique line section
Root to main spring endpoint distance l11p=154.28mm, the distance of the root of the 2nd main spring end oblique line section to main spring endpoint
l12p=98.74mm, the length l of the 1st main spring end flat segments11=124.28mm, the length of the 2nd main spring end flat segments
l12=68.74mm, to the endpoint deformation coefficient G of the 1st and the 2nd main spring of the reinforced variable cross-section in end and rootx-F1And Gx-F2
It is respectively calculated, i.e.,
Deformation coefficient of the main spring of the reinforced variable cross-section in (2) N pieces ends and root at parabolic segment and auxiliary spring contact point
Gx-CDIt calculates:
According to the half length L=600mm of reinforced few main spring of piece variable cross-section, width b=60mm, elastic modulus E=
200GPa, the length Δ l of root oblique line section2=30mm, the distance l of the root of root oblique line section to main spring endpoint2=540mm is thrown
Distance l of the root of object line segment to main spring endpoint2p=510mm, thickness ratio γ=0.90 of root oblique line section, auxiliary spring contact and master
The horizontal distance l of spring endpoint0=220mm, main reed number N=2 are throwing the 2nd main spring of the reinforced variable cross-section in end and root
Object line segment and the deformation coefficient G at auxiliary spring contact pointx-CDIt is calculated, i.e.,
(3) auxiliary spring works the endpoint power F of the main spring of the reinforced variable cross-section in N pieces end and root under load2It calculates:
I steps:According to the thickness h of the root flat segments of the main spring of the reinforced variable cross-section in each end and root2=
Obtained G is calculated in 14.79mm, main reed number N=2 and step (1)x-F1=137.48mm4/ N and Gx-F2=
144.04mm4/ N determines the half stiffness K of the 1st and the 2nd main spring of the reinforced variable cross-section in end and rootM1And KM2, respectively
II steps:The i.e. single-ended point load P=3000N of half for the load that worked according to the required auxiliary spring of design, main spring
Identified K in the piece number N=2 and I stepM1=23.53N/mm and KM2=22.46N/mm works under load to auxiliary spring
The endpoint power F of the 2nd main spring of the reinforced variable cross-section in end and root2It is calculated, i.e.,
(4) reinforced few major-minor spring gap of the main spring of piece variable cross-section between parabolic segment and auxiliary spring contact in end and root
δ is designed:
According to the thickness h of the root flat segments of the main spring of the reinforced variable cross-section in each end and root2=14.79mm, main spring
The F being calculated in the piece number N=2, II step2The G being calculated in=1465.10N and step (2)x-CD=50.66mm4/ N,
Few major-minor spring gap delta of the main spring of piece variable cross-section between parabolic segment and auxiliary spring contact reinforced to end and root is set
Meter, i.e.,
Using ANSYS finite element emulation softwares, according to the master of the reinforced few piece variable-section steel sheet spring in the end and root
Spring structure parameter and material characteristic parameter establish the ANSYS emulation of the half symmetrical structure of the main spring of reinforced few piece variable cross-section
Model, grid division, and apply fixed constraint in the root of simulation model, it is right in free end application concentrfated load P=3000N
It, which is deformed, carries out ANSYS emulation, obtained deformation simulation cloud atlas, as shown in Figure 4, wherein the main spring is apart from end position
Deflection δ=22.91mm at 220mm.
It is found that in same load, ANSYS simulating, verifying value δ=22.91mm of the main spring deflection, with major-minor
Spring gap design value δ=22.94mm matches, and relative deviation is only 0.13%;The result shows that the invention provided it is reinforced
Few design method of the main spring of piece variable cross-section in parabolic segment with auxiliary spring gap is correct, and parameter design value is accurately and reliably.
Claims (1)
1. reinforced few main spring of piece variable cross-section is in the design method of parabolic segment and auxiliary spring gap, wherein reinforced few piece, which becomes, to be cut
The main spring in face is designed with oblique line section between end flat segments and parabolic segment and between root flat segments and parabolic segment, with right
Booster action is played in main spring end and root;The half symmetrical structure of the main spring of the reinforced few piece variable cross-section in end and root is put down by root
Straight section, root oblique line section, parabolic segment, end oblique line section and 5 sections of end flat segments composition, each end flat segments are non-etc.
Structure, i.e., the thickness and length of the end flat segments of the 1st main spring, the respectively greater than thickness of the end flat segments of other each main spring
And length;It is designed with certain major and minor spring gap between main spring parabolic segment and auxiliary spring contact, is worked load with meeting auxiliary spring
Requirement;It is given in each chip architecture parameter of main spring, elasticity modulus, auxiliary spring length, the auxiliary spring load that works, to end
And reinforced few major-minor spring gap of the main spring of piece variable cross-section between parabolic segment and auxiliary spring contact in root is designed, and is specifically set
Steps are as follows for meter:
(1) the endpoint deformation coefficient G of the main spring of the reinforced variable cross-section in each end and rootx-FiIt calculates:
According to the half length L of the reinforced few main spring of piece variable cross-section in end and root, width b, elastic modulus E, root oblique line section
Length Δ l2, the length Δ l of end oblique line section1, the thickness ratio γ of root oblique line section, the thickness ratio μ of end oblique line section, root
Distance l of the root of oblique line section to main spring endpoint2, the distance l of the root of parabolic segment to main spring endpoint2p, main reed number N,
In, the thickness ratio β of the parabolic segment of i-th main springi, the distance of the root of i-th main spring end oblique line section to spring endpoint
l1ip, the distance l of i-th main spring end oblique line section end to spring endpoint1i, i=1,2 ..., N add each end and root
Strong type lacks the endpoint deformation coefficient G of the main spring of piece variable cross-sectionx-FiIt is calculated, i.e.,
Deformation coefficient G of the main spring of the reinforced variable cross-section in (2) N pieces ends and root in parabolic segment and auxiliary spring contact pointx-CDMeter
It calculates:According to the half length L of the reinforced few main spring of piece variable cross-section in end and root, width b, elastic modulus E, root oblique line section
Length Δ l2, the distance l of the root of root oblique line section to main spring endpoint2, the distance l of the root of parabolic segment to main spring endpoint2p,
Thickness the ratio γ, the horizontal distance l of auxiliary spring contact and main spring endpoint of root oblique line section0, main reed number N, to N pieces end and root
Deformation coefficient G of the main spring of the reinforced variable cross-section in portion at parabolic segment and auxiliary spring contact pointx-CDIt is calculated, i.e.,
(3) auxiliary spring works the endpoint power F of the main spring of the reinforced variable cross-section in N pieces end and root under loadNIt calculates:
I steps:According to the thickness h of the root flat segments of the main spring of the reinforced few piece variable cross-section in each end and root2, main reed number
Deformation coefficient G of each main spring being calculated in N and step (1) at endpoint locationx-Fi, determine each end and root
The half stiffness K of the reinforced main spring of variable cross-sectionMi, i.e.,
II steps:The i.e. single-ended point load P of half for the load that worked according to required auxiliary spring, in main reed number N and I step
The half stiffness K of identified each main springMi, to the endpoint stress F of the main spring of the reinforced variable cross-section in N pieces end and rootNInto
Row calculates, i.e.,
(4) reinforced few major and minor spring gap delta of the main spring of piece variable cross-section between parabolic segment and auxiliary spring contact in end and root is set
Meter:According to the thickness h of the root flat segments of the main spring of the reinforced variable cross-section in each end and root2, in main reed number N, II step
The endpoint power F for the main spring of N pieces being calculatedNAnd the G being calculated in step (2)x-CD, few piece reinforced to end and root
Major and minor spring gap delta of the main spring of variable cross-section at parabolic segment with auxiliary spring contact point is designed, i.e.,
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EP0889257A2 (en) * | 1997-07-04 | 1999-01-07 | Rejna S.p.A. | Improved-type leaf spring, in particular for a suspension of a vehicle |
CN2816479Y (en) * | 2005-06-29 | 2006-09-13 | 青岛帅潮实业有限公司 | Multi-arc segment less-piece section-variable spring steel plate |
CN201944175U (en) * | 2011-02-21 | 2011-08-24 | 湖南易通汽车配件科技发展有限公司 | Parabolic tapered-leaf spring with variable rigidity |
CN102734364A (en) * | 2012-07-17 | 2012-10-17 | 山东理工大学 | Analytical design method of camber and surface shape of automobile plate spring |
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EP0889257A2 (en) * | 1997-07-04 | 1999-01-07 | Rejna S.p.A. | Improved-type leaf spring, in particular for a suspension of a vehicle |
CN2816479Y (en) * | 2005-06-29 | 2006-09-13 | 青岛帅潮实业有限公司 | Multi-arc segment less-piece section-variable spring steel plate |
CN201944175U (en) * | 2011-02-21 | 2011-08-24 | 湖南易通汽车配件科技发展有限公司 | Parabolic tapered-leaf spring with variable rigidity |
CN102734364A (en) * | 2012-07-17 | 2012-10-17 | 山东理工大学 | Analytical design method of camber and surface shape of automobile plate spring |
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Effective date of registration: 20191202 Address after: 313018 Xizhuang Qiaotu, Linghu Town, Nanxun District, Huzhou City, Zhejiang Province Patentee after: Zhejiang Funiu leaf spring Co., Ltd Address before: 255049 School of traffic and vehicle engineering, Shandong University of Technology, No. 12 Zhang Zhou road, Shandong, Zibo Patentee before: Zhou Changcheng |
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