CN107061585B - The design method of the main spring initial tangential camber of high-intensitive two-stage progressive rate leaf spring - Google Patents
The design method of the main spring initial tangential camber of high-intensitive two-stage progressive rate leaf spring Download PDFInfo
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F3/00—Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic
- F16F3/02—Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic with springs made of steel or of other material having low internal friction
- F16F3/023—Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic with springs made of steel or of other material having low internal friction composed only of leaf springs
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F1/00—Springs
- F16F1/02—Springs made of steel or other material having low internal friction; Wound, torsion, leaf, cup, ring or the like springs, the material of the spring not being relevant
- F16F1/18—Leaf springs
- F16F1/185—Leaf springs characterised by shape or design of individual leaves
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F1/00—Springs
- F16F1/02—Springs made of steel or other material having low internal friction; Wound, torsion, leaf, cup, ring or the like springs, the material of the spring not being relevant
- F16F1/18—Leaf springs
- F16F1/26—Attachments or mountings
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F2238/00—Type of springs or dampers
- F16F2238/02—Springs
- F16F2238/022—Springs leaf-like, e.g. of thin, planar-like metal
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Abstract
The present invention relates to the design methods of the main spring initial tangential camber of high-intensitive two-stage progressive rate leaf spring, belong to vehicle suspension leaf spring technical field.The present invention can be designed the main spring initial tangential camber of high-intensitive two-stage progressive rate leaf spring according to the structural parameters of each main spring and auxiliary spring, elasticity modulus, contact load, unloaded load, rated load and its remaining tangent line camber design requirement value.By emulating with prototype test it is found that the design method of the main spring initial tangential camber of high intensity two-stage progressive rate leaf spring provided by the present invention is correctly, to design for high-intensitive two-stage progressive rate leaf spring and reliable technical foundation has been established in CAD software exploitation.Accurately and reliably main spring initial tangential camber design value can be obtained using this method, it is ensured that the design requirement for meeting contact load, progressive rate improves design level, quality and vehicle driving ride comfort and the safety of product；Meanwhile design and testing expenses can be also reduced, accelerate product development speed.
Description
Technical field
The present invention relates to vehicle suspension leaf spring, the main spring initial tangential camber of especially high-intensitive two-stage progressive rate leaf spring
Design method.
Background technique
For the design requirement for meeting vehicle driving ride comfort under different loads and suspension gradual change offset frequency remains unchanged,
With the appearance of high strength steel plate material, high-intensitive two-stage progressive rate leaf spring can be used, wherein main spring initial tangential camber is
HgM0Design value not only influences, not only influence major-minor spring gap, contact load, main spring stress, gradual change clamp rigidity, suspension offset frequency,
Remaining tangent line camber and vehicle driving ride comfort and safety under rated load, and have an effect on the first order and second level pair
The design of the initial tangential camber of spring.However, due in the gradual change contact process of main spring and level-one auxiliary spring and second level auxiliary spring, contact
Length and progressive rate all change with load, and therefore, the amount of deflection calculating of high-intensitive two-stage progressive rate leaf spring is extremely complex, no
It is only related with the structural parameters of main spring and level-one auxiliary spring and second level auxiliary spring but also related with each secondary contact load, it is provided according to looking into
Material is not it is found that provide always the design side of the main spring initial tangential camber of high-intensitive two-stage progressive rate leaf spring inside and outside predecessor State
Method.It is outstanding to the offset frequencys two-stage progressive rate leaf spring such as vehicle with Vehicle Speed and its continuous improvement required ride comfort
The design of frame system proposes requirements at the higher level, therefore, it is necessary to establish accurate, the reliable high-intensitive two-stage progressive rate leaf spring of one kind
The design method of main spring initial tangential camber, with meet Vehicle Industry fast-developing, vehicle driving ride comfort and safety and its
To the design requirement of high-intensitive two-stage progressive rate leaf spring, horizontal product design, product quality and performances and vehicle driving are improved
Ride comfort；Meanwhile design and testing expenses are reduced, accelerate product development speed.
Summary of the invention
For above-mentioned defect existing in the prior art, technical problem to be solved by the invention is to provide it is a kind of it is easy,
The design method of the main spring initial tangential camber of reliable high intensity two-stage progressive rate leaf spring, design flow diagram, such as Fig. 1 institute
Show.Etc. offset frequencys two-stage progressive rate leaf spring use high-strength steel sheet, width b, elasticity modulus E, each leaf spring is with center
Mounting hole symmetrical structure, installation clamp away from half L0For U-bolts clamp away from half L0；The offset frequencys two-stage such as high intensity
The half symmetrical structure of progressive rate leaf spring as shown in Fig. 2, be made of main spring 1, first order auxiliary spring 2 and second level auxiliary spring 3,
In, the piece number of main spring 1 is n, each of main spring with a thickness of hi, half action length is respectively LiT, half clamping length is respectively
Li=LiT-L0/ 2, i=1,2 ..., n, it is K that main spring, which clamps rigidity,M.The piece number of first order auxiliary spring 2 is m1, first order auxiliary spring each
With a thickness of hA1j, half action length is LA1jT, half clamping length is LA1j=LAjT-L0/ 2, j=1,2 ..., m1.Main spring with
The compound clamping rigidity of first order auxiliary spring is KMA1, setting between the lower surface and the first auxiliary spring first upper surface of the main spring of tailpiece
It is equipped with first order gradual change gap deltaMA1.The piece number of second level auxiliary spring 3 is m2, second level auxiliary spring each with a thickness of hA2k, half work
It is L with lengthA2kT, half clamping length is LA2k=LA2kT-L0/ 2, k=1,2 ..., m2.Total compound clamping rigidity of major-minor spring
For KMA2, second level gradual change gap delta is provided between the first upper surface in first order auxiliary spring tailpiece lower surface and the second auxiliary springMA2。
Load p is started working when load reaches the 1st timek1When, it clamps in U-bolts away from outside, the main spring lower surface of tailpiece and the first order
First upper surface of auxiliary spring starts to contact, and it is rigid that suspension clamps the compound clamping of first order gradual change that rigidity is main spring and first order auxiliary spring
Degree；Load p is started working when load reaches the 1st timek2When, the first upper surface in the main spring lower surface of tailpiece and first order auxiliary spring is complete
Contact, suspension clamp the compound clamping rigidity that rigidity is main spring and first order auxiliary spring；When load reaches the 2nd fully functional load
Lotus Pw2When, main spring and first order auxiliary spring and second level auxiliary spring completely attach to, and suspension clamps total compound clamping that rigidity is main auxiliary spring
Rigidity.When load is in [Pk1,Pw2] in range when variation, etc. offset frequencys two-stage progressive rate leaf spring the first order and second level gradual change
Compound clamping stiffness KkwP1And KkwP2Change with load, so that meet that suspension offset frequency under different loads remains unchanged sets
Meter requires.According to the structural parameters of each leaf spring, elasticity modulus, contact load, unloaded load, rated load and in rated load
Under remaining tangent line camber design requirement value, the main spring initial tangential camber of high-intensitive two-stage progressive rate leaf spring is set
Meter.
In order to solve the above technical problems, the main spring initial tangential of high intensity two-stage progressive rate leaf spring provided by the present invention
The design method of camber, it is characterised in that use following design procedure:
(1) the equivalent thickness h of the different the piece number l overlay segments of high-intensitive two-stage progressive rate leaf springleCalculating:
According to the piece number n of main spring, the thickness h of each of main springi, i=1,2 ..., n；The piece number m of first order auxiliary spring1, first
The thickness h of grade auxiliary spring eachA1j, j=1,2 ..., m1；Second level auxiliary spring the piece number m2, thickness h that second level auxiliary spring is eachA2k, k=
1,2,...,m2；The sum of the piece number of main spring and first order auxiliary spring N1=n+m1, total the piece number N=n+m of major-minor spring1+m2, to high intensity
The equivalent thickness h of the different the piece number l overlay segments of two-stage progressive rate leaf springleIt is calculated, l=1,2 ..., N, i.e.,
(2) the main spring of high-intensitive two-stage progressive rate leaf spring clamps stiffness KMCalculating:
According to the width b of high-intensitive two-stage progressive rate leaf spring, elastic modulus E；The piece number n of main spring, the one of each of main spring
Half clamping length LiAnd the h being calculated in step (1)le, l=i=1,2 ..., n, hneRefer to the numerical value as l=n, it is right
Main spring clamps stiffness KMIt is calculated, i.e.,
(3) the compound clamping stiffness K of the main spring of high-intensitive two-stage progressive rate leaf spring and first order auxiliary springMA1Calculating:
According to the width b of high-intensitive two-stage progressive rate leaf spring, elastic modulus E；The piece number n of main spring, the one of each of main spring
Half clamping length Li；The piece number m of first order auxiliary spring1, first order auxiliary spring each half clamping length LA1j=Ln+j, main spring and
The sum of the piece number of level-one auxiliary spring N1=n+m1And the h being calculated in step (1)le, l=1,2 ..., N1, to main spring and the first order
The compound clamping stiffness K of auxiliary springMA1It is calculated, i.e.,
(4) the total compound clamping stiffness K of the major-minor spring of high-intensitive two-stage progressive rate leaf springMA2Calculating:
According to the width b of high-intensitive two-stage progressive rate leaf spring, elastic modulus E；The piece number n of main spring, the one of each of main spring
Half clamping length Li, i=1,2 ..., n；The piece number m of first order auxiliary spring1, first order auxiliary spring each half clamping length LA1j=
Ln+j, j=1,2 ..., m1；The piece number m of second level auxiliary spring2, second level auxiliary spring each half clamping length is respectively LA2k=
LN1+k, k=1,2 ..., m2；Total the piece number N=n+m of major-minor spring1+m2And the h being calculated in step (1)le, l=1,2 ...,
N, to the total compound clamping stiffness K of major-minor springMA2It is calculated, i.e.,
(5) the main spring initial tangential camber H of high-intensitive two-stage progressive rate leaf springgM0Design:
According to unloaded load p0, the 1st beginning contact load Pk1, the 2nd beginning contact load Pk2, the 2nd full contact
Load pw2, rated load PN, in rated load PNUnder remaining tangent line camber HgMsy, step (2)~step calculates separately in (4)
Obtained KM、KMA1And KMA2, to the main spring initial tangential camber H of high-intensitive two-stage progressive rate leaf springgM0It is designed, i.e.,
The present invention has the advantage that than the prior art
Since in the gradual change contact process of main spring and level-one auxiliary spring and second level auxiliary spring, contact length and progressive rate are all with load
Lotus and change, therefore, the amount of deflection of high-intensitive two-stage progressive rate leaf spring calculate it is extremely complex, not only with main spring and level-one auxiliary spring and
The structural parameters of second level auxiliary spring are related, but also related with each secondary contact load, according to consulting reference materials it is found that inside and outside predecessor State always
The Calculation Method of Deflection of high-intensitive two-stage progressive rate leaf spring and the design method of main spring initial tangential camber are not provided.The present invention
It can be according to each of the main spring of high-intensitive two-stage progressive rate leaf spring and structural parameters, the elasticity modulus, the 1st time and the 2nd time of auxiliary spring
Contact load, unloaded load and rated load and the remaining tangent line camber design requirement value under rated load, to high intensity two
The main spring initial tangential camber of grade progressive rate leaf spring is designed.Pass through ANSYS emulation and model machine deformation under load test verifying
It is found that the design method of the main spring initial tangential camber of high intensity two-stage progressive rate leaf spring provided by the present invention is correct
, reliable technical foundation has been established for high-intensitive two-stage progressive rate leaf spring major-minor spring gap design and CAD software exploitation.Benefit
With the main spring initial tangential camber design value of the available accurately and reliably high-intensitive two-stage progressive rate leaf spring of this method, it is ensured that full
The design requirement of pedal plate spring contact load, progressive rate, suspension offset frequency and vehicle driving ride comfort, improves the design water of product
Flat, quality and performance；Meanwhile design and testing expenses can be also reduced, accelerate product development speed.
Detailed description of the invention
For a better understanding of the present invention, it is described further with reference to the accompanying drawing.
Fig. 1 is the design flow diagram of the main spring initial tangential camber of high-intensitive two-stage progressive rate leaf spring；
Fig. 2 is the half symmetrical structure schematic diagram of high-intensitive two-stage progressive rate leaf spring；
Fig. 3 is the ANSYS deformation simulation cloud atlas of the main spring of the high-intensitive two-stage progressive rate leaf spring of embodiment；
Fig. 4 is the main spring of the high-intensitive two-stage progressive rate leaf spring of embodiment and the ANSYS deformation simulation of first order auxiliary spring
Cloud atlas；
Fig. 5 is the ANSYS deformation simulation cloud atlas of the major-minor spring of the high-intensitive two-stage progressive rate leaf spring of embodiment；
Fig. 6 is the main spring amount of deflection f of the high-intensitive two-stage progressive rate leaf spring of embodimentMWith the change curve of load p.
Specific embodiment
Below by embodiment, invention is further described in detail.
Embodiment: certain high-intensitive two-stage leaf spring with gradually changing stiffness, referring to Fig. 2 comprising main spring 3,2 and of first order auxiliary spring
Second level auxiliary spring 1, the width b=63mm of entire leaf spring, U-bolts clamp away from half L0=50mm, elastic modulus E
=200GPa.Total the piece number of major-minor spring is N=5, wherein the piece number n=2 of main spring, the thickness h of each of main spring1=h2=8mm, it is main
Spring each half action length is respectively L1T=525mm, L2T=900/2=450mm；The half clamping length of each of main spring
Respectively L1=L1T-L0/ 2=500mm, L2=L2T-L0/ 2=425mm.The piece number m of first order auxiliary spring1=1, thickness hA11=
11mm, half action length are LA11T=360mm, half clamping length LA11=L3=LA11T-L0/ 2=335mm.Second level pair
The piece number m of spring2=2, the thickness h that second level auxiliary spring is eachA21=hA22=11mm, half action length are respectively LA21T=
250mm, LA22T=155mm；Half clamping length is respectively LA21=L4=LA21T-L0/ 2=225mm, LA22=L5=LA22T-L0/
2=130mm.1st beginning contact load P of the leaf spring with gradually changing stiffnessk1=1888N, the 2nd beginning contact load Pk2
=4133N, the 2nd full contact load pw2=6678N.Unloaded load p0=1715N, rated load PN=7227N, and in volume
Determine the remaining tangent line camber H under loadgMsy=26.1mm.According to the structural parameters of each leaf spring, elasticity modulus, contact load,
Unloaded load, rated load and the remaining tangent line camber design requirement value under rated load, it is rigid to the high intensity two-stage gradual change
The main spring initial tangential camber of degree leaf spring is designed.
The design method of the main spring initial tangential camber of high intensity two-stage progressive rate leaf spring provided by present example,
Its design cycle is as shown in Figure 1, specific design procedure is as follows:
(1) the equivalent thickness h of the different the piece number l overlay segments of high-intensitive two-stage progressive rate leaf springleCalculating:
According to the piece number n=2 of main spring, the thickness h of each of main spring1=h2=8mm；The piece number m of first order auxiliary spring1=1, it is thick
Spend hA11=11mm；The piece number m of second level auxiliary spring2=2, each thickness hA21=hA22=11mm；Total the piece number N=n+m of major-minor spring1
+m2=5, to the equivalent thickness h of leaf spring with gradually changing stiffness difference the piece number overlay segmentleIt is calculated, l=1,2 ..., N,
According to formula:Calculate the equivalent thickness of each the piece number overlay segment of main spring；
According to formula:Calculate main spring and each the piece number overlapping of first order auxiliary spring
The equivalent thickness of section；
According to formula:Calculate main spring, first order pair
The equivalent thickness of spring and each the piece number overlay segment of second level auxiliary spring；The equivalent thickness of above-mentioned each the piece number overlay segment is meant that from plate
Spring end is counted, the equivalent thickness of the sum of overlay segment of the upward each different the piece numbers of main spring, it can be deduced that following values:
h1e=h1=8.0mm；
(2) the main spring of high-intensitive two-stage progressive rate leaf spring clamps stiffness KMCalculating:
According to the width b=63mm of leaf spring with gradually changing stiffness, elastic modulus E=200GPa；The piece number n=2 of main spring, it is main
Spring each half clamping length L1=500mm, L2The h being calculated in=425mm and step (1)1e=8.0mm, h2e=
10.1mm clamps rigidity to main spring and calculates, i.e.,
According to main spring each thickness, width and half clamping length, elastic modulus E, ANSYS simulation model is established,
End applies a concentrated force F1=900N carries out ANSYS deformation simulation and rigidity verifying, the main spring ANSYS deformation emulated
Cloud atlas is emulated, as shown in Figure 3, wherein end maximum defluxion fMmax=34.615mm, therefore, high-intensitive two-stage progressive rate plate
The main spring of spring clamps rigidity ANSYS simulating, verifying value KM=2F1/fMmax=52N/mm, with calculated value KMThe phase of=51.44N/mm
It is only 1.09% to deviation, shows that the main spring of high-intensitive two-stage progressive rate leaf spring clamps stiffness KMCalculated value be accurate and reliable
's.
(3) the compound clamping stiffness K of the main spring of high-intensitive two-stage progressive rate leaf spring and first order auxiliary springMA1Calculating:
According to the width b=63mm of high-intensitive two-stage leaf spring with gradually changing stiffness, elastic modulus E=200GPa；Main spring
The piece number n=2, the half clamping length L of each of main spring1=500mm, L2=425mm；First order auxiliary spring the piece number m1=1, half folder
Tight length LA11=L3The sum of the piece number of=335mm, main spring and first order auxiliary spring N1=n+m1=3 and step (1) in be calculated
H1e=8.0mm, h2e=10.1mm, h3e=13.3mm, to the compound clamping stiffness K of main spring and first order auxiliary springMA1It is counted
It calculates, i.e.,
ANSYS is established according to the thickness of each of main spring and first order auxiliary spring, width and half clamping length, elastic modulus E
Simulation model applies a concentrated force F in end2=2000N carries out ANSYS deformation simulation and rigidity verifying, emulates
ANSYS deformation simulation cloud atlas, as shown in Figure 4, wherein end maximum defluxion fMA1max=35.555mm, therefore, high-intensitive two-stage
The main spring of progressive rate leaf spring and the compound clamping rigidity ANSYS simulating, verifying value K of first order auxiliary springMA1=2F2/fMA1max=
112.502N/mm with calculated value KMA1The relative deviation of=112.56N/mm is only 0.051%.
(4) the total compound clamping stiffness K of the major-minor spring of high-intensitive two-stage progressive rate leaf springMA2Calculating:
According to the width b=63mm of high-intensitive two-stage leaf spring with gradually changing stiffness, elastic modulus E=200GPa；Main spring
The piece number n=2, the half clamping length L of each of main spring1=500mm, L2=425mm；The piece number m of first order auxiliary spring1=1, half
Clamping length L3=335mm；Second level auxiliary spring the piece number m2=2, each half clamping length is respectively LA21=L4=225mm,
LA22=L5=130mm；The h being calculated in the total the piece number N=5 and step (1) of major-minor spring1e=8.0mm, h2e=10.1mm,
h3e=13.3mm, h4e=15.4mm；h5e=17.1mm；To the total compound clamping stiffness K of major-minor springMA2It is calculated, i.e.,
According to each thickness, width and half clamping length, elastic modulus E of the leaf spring, ANSYS emulation mould is established
Type applies a concentrated force F in end3=4000N, carries out ANSYS deformation simulation and rigidity verifying, and the ANSYS emulated becomes
Shape emulates cloud atlas, as shown in Figure 5, wherein end maximum defluxion fMA2max=44.184mm, therefore, high-intensitive two-stage progressive rate
The compound clamping rigidity ANSYS simulating, verifying value K of the major-minor spring of leaf springMA2=2F3/fMA2max=181.06N/mm, with calculated value
KMA1The relative deviation of=181.86N/mm is only 0.44%, shows that the major-minor spring of high-intensitive two-stage progressive rate leaf spring is always compound
Clamp stiffness KMA2Calculated value be accurately and reliably.
(5) the main spring initial tangential camber H of high-intensitive two-stage progressive rate leaf springgM0Design:
According to unloaded load p0=1715N, the 1st beginning contact load Pk1=1888N, the 2nd beginning contact load Pk2
=4133N, the 2nd full contact load pw2=6678N, rated load PN=7227N, in rated load PNUnder main spring it is remaining
Tangent line camber HgMsy=26.1mm, the K calculated separately in step (2)~step (4)M=51.44N/mm, KMA1=
112.56N/mm and KMA2=181.86N/mm, to the main spring initial tangential camber H of the high intensity two-stage progressive rate leaf springgM0Into
Row design, i.e.,
Calculation procedure is calculated using Matlab, calculates the main spring amount of deflection f of obtained high-intensitive two-stage progressive rate leaf springM
With the change curve of load p, as shown in Figure 6；Wherein, in rated load PNMain spring amount of deflection f when=7227NMN=86.1mm, i.e.,
Remaining camber HgMsy=HgM0-fMN=26.1mm, it is known that, this meets the main spring tangent line camber design value H of suspensiongM0=112.2mm is full
Foot is suspended in the remaining tangent line camber H under rated load loadgMsyThe design requirement value of=26.1mm.
By model machine ANSYS emulation and load deflection test it is found that high intensity two-stage progressive rate provided by the present invention
The design method of the main spring initial tangential camber of leaf spring is correctly, to utilize the available accurately and reliably high-intensitive two-stage of this method
The main spring initial tangential camber design value of progressive rate leaf spring, it is ensured that meet leaf spring contact load, progressive rate, suspension offset frequency and
The design requirement of vehicle driving ride comfort.
Claims (1)
1. the design method of the main spring initial tangential camber of high-intensitive two-stage progressive rate leaf spring, wherein leaf spring is using high-intensitive
Steel plate, each leaf spring be with center mounting hole symmetrical structure, installation clamp away from half be U-bolts clamp away from half；
Leaf spring is made of main spring and two-stage auxiliary spring, by the initial tangential camber and two-stage gradual change gap of main spring and two-stage auxiliary spring, is met
The design requirement that leaf spring contact load, progressive rate and the offset frequency being suspended under gradual change load remain unchanged, i.e., the offset frequencys type such as are high
Intensity two-stage progressive rate leaf spring；According to the structural parameters of each leaf spring, elasticity modulus, contact load, unloaded load, specified load
Lotus and the remaining tangent line camber design requirement value under rated load, initially cut the main spring of high-intensitive two-stage progressive rate leaf spring
Bank height is designed, and specific design procedure is as follows:
(1) the equivalent thickness h of the different the piece number l overlay segments of high-intensitive two-stage progressive rate leaf springleCalculating:
According to the piece number n of main spring, the thickness h of each of main springi, i=1,2 ..., n；The piece number m of first order auxiliary spring1, first order pair
The thickness h that spring is eachA1j, j=1,2 ..., m1；Second level auxiliary spring the piece number m2, thickness h that second level auxiliary spring is eachA2k, k=1,
2,...,m2；The sum of the piece number of main spring and first order auxiliary spring N1=n+m1, total the piece number N=n+m of major-minor spring1+m2, to high intensity two
The equivalent thickness h of the different the piece number l overlay segments of grade progressive rate leaf springleIt is calculated, l=1,2 ..., N, i.e.,
(2) the main spring of high-intensitive two-stage progressive rate leaf spring clamps stiffness KMCalculating:
According to the width b of high-intensitive two-stage progressive rate leaf spring, elastic modulus E；The piece number n of main spring, the half folder of each of main spring
Tight length LiAnd the h being calculated in step (1)le, l=i=1,2 ..., n clamp stiffness K to main springMIt is calculated, i.e.,
(3) the compound clamping stiffness K of the main spring of high-intensitive two-stage progressive rate leaf spring and first order auxiliary springMA1Calculating:
According to the width b of high-intensitive two-stage progressive rate leaf spring, elastic modulus E；The piece number n of main spring, the half folder of each of main spring
Tight length Li；The piece number m of first order auxiliary spring1, first order auxiliary spring each half clamping length LA1j=Ln+j, main spring and the first order
The sum of the piece number of auxiliary spring N1=n+m1And the h being calculated in step (1)le, l=1,2 ..., N1, to main spring and first order auxiliary spring
Compound clamping stiffness KMA1It is calculated, i.e.,
(4) the total compound clamping stiffness K of the major-minor spring of high-intensitive two-stage progressive rate leaf springMA2Calculating:
According to the width b of high-intensitive two-stage progressive rate leaf spring, elastic modulus E；The piece number n of main spring, the half folder of each of main spring
Tight length Li, i=1,2 ..., n；The piece number m of first order auxiliary spring1, first order auxiliary spring each half clamping length LA1j=Ln+j, j
=1,2 ..., m1；The piece number m of second level auxiliary spring2, second level auxiliary spring each half clamping length is respectively LA2k=LN1+k, k=
1,2,…,m2；Total the piece number N=n+m of major-minor spring1+m2And the h being calculated in step (1)le, l=1,2 ..., N, to major-minor
The total compound clamping stiffness K of springMA2It is calculated, i.e.,
(5) the main spring initial tangential camber H of high-intensitive two-stage progressive rate leaf springgM0Design:
According to unloaded load p0, the 1st beginning contact load Pk1, the 2nd beginning contact load Pk2, the 2nd full contact load
Pw2, rated load PN, in rated load PNUnder remaining tangent line camber HgMsy, step (2)~step calculates separately to obtain in (4)
KM、KMA1And KMA2, to the main spring initial tangential camber H of high-intensitive two-stage progressive rate leaf springgM0It is designed, i.e.,
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Address after: 261324 West Wulian Industrial Park, Wulian County, Rizhao City, Shandong Patentee after: Shandong hengri suspension spring Co.,Ltd. Address before: 261324 West Wulian Industrial Park, Wulian County, Rizhao City, Shandong Patentee before: SHANDONG HENGRI SUSPENSION SPRING CO.,LTD. |
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