CN106682360B - The simulation calculation method of the maximum stress characteristic of high-intensitive two-stage progressive rate major-minor spring - Google Patents
The simulation calculation method of the maximum stress characteristic of high-intensitive two-stage progressive rate major-minor spring Download PDFInfo
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Abstract
The present invention relates to the calculation methods of the maximum stress characteristic of high-intensitive two-stage progressive rate major-minor spring, belong to vehicle suspension leaf spring technical field.The present invention can be according to the structural parameters of each main spring and auxiliary spring, elasticity modulus, maximum permissible stress, unloaded load, the initial tangential camber design value of main spring and the first order and second level auxiliary spring calculate the maximum stress characteristic of the high intensity two-stage progressive rate major-minor spring.By emulation and model machine stress test it is found that the calculation method of the maximum stress characteristic of high intensity two-stage progressive rate major-minor spring provided by the present invention is correctly, accurately and reliably major-minor spring maximum stress characteristic Simulation calculated value to can be obtained.It can ensure that design leaf spring meets stress intensity design requirement using this method, improve the design level and reliability and vehicle safety of product；Meanwhile design and testing expenses are reduced, accelerate product development speed.
Description
Technical field
The present invention relates to vehicle suspension leaf spring, the maximum stress characteristic of especially high-intensitive two-stage progressive rate major-minor spring
Calculation method.
Background technique
With the appearance of high strength steel plate material, high-intensitive two-stage progressive rate leaf spring is can be used in vehicle suspension, thus into
One step meets the design requirement remained unchanged in different loads lower suspension gradual change offset frequency, wherein high-intensitive two-stage progressive rate plate
The maximum stress characteristic of spring has great influence to leaf spring reliability and service life and vehicle safety.Due to high-strength
Spend the maximum stress not only structural parameters and load with main spring and level-one auxiliary spring and second level auxiliary spring of two-stage progressive rate major-minor spring
Related, also related with each secondary contact load and maximum allowable load, therefore, the main spring of high-intensitive two-stage progressive rate and auxiliary spring are answered
Force characteristic calculating is extremely complex, and for the maximum stress characteristic of the high-intensitive two-stage progressive rate leaf spring of given design structure
Simulation calculation is also restricted by maximum allowable load and contact load simulation calculation problem, therefore, according to consult reference materials it is found that first
The calculation method of the preceding maximum stress characteristic for not providing high-intensitive two-stage progressive rate major-minor spring always both at home and abroad.With vehicle row
Speed and its continuous improvement to ride comfort requirement are sailed, the design of high-intensitive two-stage progressive rate plate spring suspension system is proposed more
High request, therefore, it is necessary to establish a kind of meter of the maximum stress characteristic of accurate, reliable high-intensitive two-stage progressive rate major-minor spring
Calculation method meets fast-developing Vehicle Industry, vehicle driving ride comfort and safety and is continuously improved and to high-intensitive two-stage gradual change
The design of rigidity leaf spring and the requirement of characteristic Simulation, to improve the design level of product, quality, reliability and vehicle driving safety
Property；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 calculation method of the maximum stress characteristic of reliable high intensity two-stage progressive rate major-minor spring, simulation calculation flow process figure, such as Fig. 1 institute
Show.Each leaf spring of high-intensitive two-stage progressive rate leaf spring uses high-strength steel sheet, width b, elasticity modulus E, each sheet
The symmetrical structure centered on central bolt mounting hole of spring, installation clamp away from half L0For U-bolts clamp away from half
L0；The half symmetrical structure of high-intensitive two-stage progressive rate leaf spring is as shown in Fig. 2, by main spring 1, first order auxiliary spring 2 and second
Grade auxiliary spring 3 constitute, wherein the piece number of main spring 1 be n, each of main spring with a thickness of hi, half action length is LiT, half clamping
Length is Li=LiT-L0/ 2, i=1,2 ..., n.The piece number of first order auxiliary spring 2 is m1, each level-one auxiliary spring with a thickness of hA1j, one
Half action length is LA1jT, half clamping length is LA1j=LAjT-L0/ 2, j=1,2 ..., m1.The piece number of second level auxiliary spring 3 is
m2, each second level auxiliary spring with a thickness of hA2k, half action length is LA2kT, half clamping length is LA2k=LA2kT- L0/ 2, k
=1,2 ..., m2.First order gradual change gap between the first upper surface in main spring tailpiece lower surface and first order auxiliary spring, first
Second level gradual change gap between grade first upper surface in auxiliary spring tailpiece lower surface and second level auxiliary spring, it is ensured that meet the 1st beginning
Contact load, the 2nd beginning contact load and the 2nd full contact load, progressive rate, suspension offset frequency and major-minor spring stress are special
The design requirement of property.According to the structural parameters of each of main spring and auxiliary spring, elasticity modulus, maximum permissible stress, unloaded load, main spring
And the initial tangential camber design value of the first order and second level auxiliary spring, the maximum of the high intensity two-stage progressive rate major-minor spring is answered
Force characteristic carries out simulation calculation, it is ensured that main spring and auxiliary spring meet stress intensity design requirement.
In order to solve the above technical problems, the maximum stress of high intensity two-stage progressive rate major-minor spring provided by the present invention is special
Property calculation method, it is characterised in that use following simulation calculation step:
(1) the emulation meter of the upper and lower surface initial curvature radius in the two-stage gradual change gap of high-intensitive two-stage progressive rate leaf spring
It calculates:
I step: main spring tailpiece lower surface initial curvature radius RM0bCalculating
According to main spring initial tangential camber design value HgM0, the piece number n of main spring, the thickness h of each of main springi, i=1,2 ...,
N, the half clamping length L of first of main spring1, to main spring tailpiece lower surface initial curvature radius RM0bSimulation calculation is carried out, i.e.,
II step: first upper surface initial curvature radius R of first order auxiliary springA10aSimulation calculation
According to first order auxiliary spring first half clamping length LA11, the initial tangential camber design value of first order auxiliary spring
HgA10, to first upper surface initial curvature radius R of first order auxiliary springA10aSimulation calculation is carried out, i.e.,
III step: first order auxiliary spring tailpiece lower surface initial curvature radius RA10bSimulation calculation
According to the piece number m of first order auxiliary spring1, thickness h that first order auxiliary spring is eachA1j, j=1,2 ... m1, imitate in II step
Really calculate obtained RA10a, to first order auxiliary spring tailpiece lower surface initial curvature radius RA10bSimulation calculation is carried out, i.e.,
IV step: first upper surface initial curvature radius R of second level auxiliary springA20aSimulation calculation
According to second level auxiliary spring first half clamping length LA21, the initial tangential camber design value of second level auxiliary spring
HgA20, to the radius of curvature R of second level auxiliary spring head on piece tableA20aSimulation calculation is carried out, i.e.,
(2) simulation calculation of each secondary contact load of high-intensitive two-stage progressive rate leaf spring:
Step A: main spring and its calculating with the first order and the root lap equivalent thickness of second level auxiliary spring
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, the first order
The thickness h that auxiliary spring is eachA1j, j=1,2 ..., m1；The piece number m of second level auxiliary spring2, thickness h that second level auxiliary spring is eachA2k, k=
1,2,…,m2；To the equivalent thickness h of main spring root lapMeAnd the root of main spring and first order auxiliary spring and second level auxiliary spring
The equivalent thickness h of lapMA1eAnd hMA2eIt is calculated, i.e.,
Step B: the 1st beginning contact load Pk1Simulation calculation
According to the width b of high-intensitive two-stage progressive rate leaf spring, elastic modulus E；The half of first of main spring clamps span length's degree
L1, simulation calculation obtains in step (1) RM0bAnd RA10aAnd step A is in the h being calculatedMe, start contact to the 1st time and carry
Lotus Pk1Simulation calculation is carried out, i.e.,
Step C: the 2nd beginning contact load Pk2Simulation calculation
According to the width b of high-intensitive two-stage progressive rate leaf spring, elastic modulus E；The half of first main spring clamps span length's degree
L1, the obtained R of simulation calculation in step (1)A10bAnd RA20aAnd the h being calculated in step AMA1e, meter is emulated in step B
Obtained Pk1, to the 2nd beginning Pk2Simulation calculation is carried out, i.e.,
(3) the maximum allowable load p of high-intensitive two-stage progressive rate leaf springmaxDetermination:
A step: the thickness h of the maximum gauge leaf spring of main springmaxDetermination
According to the piece number n of main spring, the thickness h of each of main springi, determine the thickness h of the maximum gauge leaf spring of main springmax, i.e.,
hmax=max (hi), i=1,2 ..., n；
B step: the thickness h of the maximum gauge leaf spring of first order auxiliary springA1maxDetermination
According to the piece number m of first order auxiliary spring1, thickness h that first order auxiliary spring is eachA1j, determine that the maximum of first order auxiliary spring is thick
Spend the thickness h of leaf springA1max, i.e.,
hA1max=max (hA1j), j=1,2 ..., m1；
Step c: the maximum leaf spring thickness h of second level auxiliary springA2maxDetermination
According to the piece number m of second level auxiliary spring2, thickness h that second level auxiliary spring is eachA2k, determine that the maximum of second level auxiliary spring is thick
Spend the thickness h of leaf springA2max, i.e.,
hA2max=max (hA2k), k=1,2 ..., m2；
Step d: the maximum allowable load p of second level leaf spring with gradually changing stiffnessmaxDetermination
According to the width b of high-intensitive second level leaf spring with gradually changing stiffness, maximum permissible stress [σ]；The half of first main spring
Clamping length L1, the h that is calculated in step (2)Me、hMA1e、hMA2eAnd the P that simulation calculation obtainsk1And Pk2, institute in a step
Determining hmax, to the maximum allowable load p of high-intensitive two-stage progressive rate leaf springmaxIt is calculated, i.e.,
(4) the main spring root maximum stress σ of high-intensitive two-stage progressive rate leaf springMSimulation calculation:
According to the width b, the half clamping length L of first main spring of high-intensitive two-stage progressive rate leaf spring1, unloaded load p0,
The P that simulation calculation obtains in step (2)k1、Pk2And identified P in step (3)maxAnd hmax, in the case of different loads P
Main spring root maximum stress σMSimulation calculation is carried out, i.e.,
(5) first order auxiliary spring root maximum stress σ of high-intensitive two-stage progressive rate leaf springA1Simulation calculation:
According to the width b, the half clamping length L of first main spring of high-intensitive two-stage progressive rate leaf spring1, in step (2)
The h being calculatedMA1eAnd the P that simulation calculation obtainsk1、Pk2, identified h in step (3)A1maxAnd Pmax, to different loads P
In the case of first order auxiliary spring root maximum stress σA1Simulation calculation is carried out, i.e.,
(6) second level auxiliary spring root maximum stress σ of high-intensitive two-stage progressive rate leaf springA2Simulation calculation:
According to the width b, the half clamping length L of first main spring of high-intensitive two-stage progressive rate leaf spring1, in step (2)
The h being calculatedMA2eAnd the P that simulation calculation obtainsk2, identified h in step (3)A2maxAnd Pmax, to different loads P situation
Under second level auxiliary spring root maximum stress σA2Simulation calculation is carried out, i.e.,
The present invention has the advantage that than the prior art
Due to the restriction of contact load emulation and maximum allowable load simulation calculation critical issue, inside and outside predecessor State always not
Provide the calculation method of the maximum stress characteristic of high-intensitive two-stage progressive rate major-minor spring.The present invention can be according to each of main spring and pair
The structural parameters of spring, elasticity modulus, maximum permissible stress, unloaded load, main spring initial tangential camber design value, the first order and the
The initial camber design value of second level auxiliary spring carries out simulation calculation to contact load and maximum allowable load first, then, basic herein
On, using amount of deflection analytical Calculation mathematical model, to the flexibility characteristics under different loads of high-intensitive two-stage progressive rate leaf spring
Carry out simulation calculation.By simulation calculation and prototype test it is found that high intensity two-stage progressive rate major-minor provided by the present invention
The calculation method of the maximum stress characteristic of spring is correctly, the accurately and reliably amount of deflection simulation calculation under specified load to can be obtained
Value provides reliable technical foundation for high-intensitive two-stage progressive rate leaf spring characteristic Simulation verifying.It can ensure that using this method
Contact load, initial tangential camber, the remaining tangent line camber under rated load and the maximum limit amount of deflection of leaf spring meet design and want
It asks, improves design level, quality and vehicle driving ride comfort and the safety of product；Meanwhile it can also reduce design and test fee
With quickening 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 simulation calculation flow process figure of the maximum stress characteristic of high-intensitive two-stage progressive rate major-minor spring；
Fig. 2 is the half symmetrical structure schematic diagram of high-intensitive two-stage progressive rate leaf spring；
Fig. 3 is the obtained main spring root maximum stress σ of the simulation calculation of embodimentMWith load p variation characteristic curve；
Fig. 4 is the simulation calculation obtained first order auxiliary spring root maximum stress σ of embodimentA1With load p variation characteristic
Curve；
Fig. 5 is the simulation calculation obtained second level auxiliary spring root maximum stress σ of embodimentA2With load p variation characteristic
Curve.
Specific embodiment
Below by embodiment, invention is further described in detail.
Embodiment: the width b=63mm of certain high-intensitive two-stage progressive rate leaf spring, U-bolts clamp away from half L0=
50mm, elastic modulus E=200GPa, maximum permissible stress [σ]=1200MPa.Total the piece number of major-minor spring is N=5, wherein main
Reed number n=2 piece, the thickness h of each of main spring1=h2The half action length of=8mm, each of main spring are respectively L1T=525mm,
L2T=450mm；Half clamping length is respectively L1=L1T-L0/ 2=500mm, L2=L2T-L0/ 2=425mm；Main spring it is initial
Tangent line camber design value HgM0=112.2mm.The piece number m of first order auxiliary spring1=1, thickness hA11=11mm, half action length
For LA11T=360mm, half clamping length LA11=LA11T-L0/ 2=335mm；The initial tangential camber design value of first order auxiliary spring
HgA10=22.8mm.The piece number m of second level auxiliary spring2=2, the thickness h that second level auxiliary spring is eachA21=hA22=11mm, half are made
It is respectively L with lengthA21T=250mm, LA22T=155mm；Half clamping length is respectively LA21=LA21T- L0/ 2=225mm,
LA22=LA22T-L0/ 2=130mm；The initial tangential camber design value H of second level auxiliary springgA20=4.4mm.Main spring clamps stiffness KM
=51.44N/mm, the compound clamping stiffness K of main spring and first order auxiliary springMA1=112.56N/mm, total compound clamping of major-minor spring
Stiffness KMA2=181.86N/mm.Rated load PN=7227N, unloaded load p0=1715N.According to the structure of each leaf spring ginseng
Number, elasticity modulus, maximum permissible stress, unloaded load, main spring and the first order and the design of the initial tangential camber of second level auxiliary spring
Value, to the root of main spring of the high intensity two-stage progressive rate leaf spring in different loads, the first order and second level auxiliary spring
Maximum stress carries out simulation calculation.
The simulation calculation method of the maximum stress characteristic of high intensity two-stage progressive rate leaf spring provided by present example,
Simulation calculation flow process is as shown in Figure 1, specifically steps are as follows for simulation calculation:
(1) the emulation meter of the upper and lower surface initial curvature radius in the two-stage gradual change gap of high-intensitive two-stage progressive rate leaf spring
It calculates:
I step: main spring tailpiece lower surface initial curvature radius RM0bSimulation calculation
According to main spring initial tangential camber design value HgM0=112.2mm, the piece number n=2 of main spring, the thickness of each of main spring
hi=8mm, i=1,2, the half clamping length L of first of main spring1=500mm, to main spring tailpiece lower surface initial curvature radius
RM0bSimulation calculation is carried out, i.e.,
II step: first upper surface initial curvature radius R of first order auxiliary springA10aSimulation calculation
According to first order auxiliary spring first half clamping length LA11The initial tangential camber of=335mm, first order auxiliary spring are set
Evaluation HgA10=22.8mm, to first upper surface initial curvature radius R of first order auxiliary springA10aSimulation calculation is carried out, i.e.,
III step: first order auxiliary spring tailpiece lower surface initial curvature radius RA10bSimulation calculation
According to the piece number m of first order auxiliary spring1=1, thickness hA11The R that simulation calculation obtains in=11mm and II stepA10a=
2786.1 mm, to first order auxiliary spring tailpiece lower surface initial curvature radius RA10bSimulation calculation is carried out, i.e.,
RA10b=RA10a+hA11=2483.5mm；
IV step: first upper surface initial curvature radius R of second level auxiliary springA20aSimulation calculation
According to second level auxiliary spring first half clamping length LA21The initial tangential camber of=225mm, second level auxiliary spring are set
Evaluation HgA20=4.4mm, to second level auxiliary spring head on piece table radius of curvature RA20aSimulation calculation is carried out, i.e.,
(2) simulation calculation of each secondary contact load of high-intensitive two-stage progressive rate leaf spring:
Step A: main spring and its calculating with the first order and the root lap equivalent thickness of second level auxiliary spring
According to the piece number n=2 of main spring, the thickness h of each of main spring1=h2=8mm；First order auxiliary spring the piece number m1=1, thickness
hA11=11mm；The piece number m of second level auxiliary spring2=2, the thickness h that second level auxiliary spring is eachA21=hA22=11mm；To main spring root
The equivalent thickness h of lapMeAnd the equivalent thickness of main spring and first order auxiliary spring and the root lap of second level auxiliary spring
hMA1eAnd hMA2eIt is calculated, i.e.,
Step B: the 1st beginning contact load Pk1Simulation calculation
According to the width b=63mm of high-intensitive two-stage progressive rate leaf spring, elastic modulus E=200GPa；First of main spring
Half clamps span length's degree L1=500mm, the R that simulation calculation obtains in step (1)M0b=1186mm and RA10a=2472.5mm and A
The h being calculated in stepMe=10.1mm, to the 1st beginning contact load Pk1Simulation calculation is carried out, i.e.,
Step C: the 2nd beginning contact load Pk2Simulation calculation
According to the width b=63mm of high-intensitive two-stage progressive rate leaf spring, elastic modulus E=200GPa；Step (1) is fallen into a trap
Obtained RA10b=2483.5mm and RA20a=5755mm, the h being calculated in step AMA1e=13.3mm is imitated in step B
The P being really calculatedk1=1886N, to the 2nd beginning Pk2Simulation calculation is carried out, i.e.,
(3) the maximum allowable load p of high-intensitive two-stage progressive rate leaf springmaxDetermination:
A step: the thickness h of the maximum gauge leaf spring of main springmaxDetermination
According to main reed number n=2, the thickness h of each of main spring1=h2=8mm determines the thickness of the maximum gauge leaf spring of main spring
Spend hmax, i.e.,
hmax=max (h1,h2)=8mm；
B step: the thickness h of first order auxiliary spring maximum gauge leaf springA1maxDetermination
According to first order auxiliary spring the piece number m1=1, thickness hA11=11mm determines first order auxiliary spring maximum leaf spring thickness hA1max,
I.e.
hA1max=max (hA11)=11mm；
Step c: second level auxiliary spring maximum leaf spring thickness hA2maxDetermination
According to first order auxiliary spring the piece number m2=2, the thickness h that second level auxiliary spring is eachA21=hA22=11mm, determines the second level
Auxiliary spring maximum leaf spring thickness hA2max, i.e.,
hA2max=max (hA21,hA21)=11mm；
Step d: the maximum allowable load p of high-intensitive second level leaf spring with gradually changing stiffnessmaxDetermination
According to the width b=63mm of high-intensitive second level leaf spring with gradually changing stiffness, maximum permissible stress [σ]=1200MPa；
The half clamping length L of first main spring1=500mm, the h being calculated in step (2)Me=10.1mm and hMA1e=13.3mm,
hMA2eThe P that=17.1mm and simulation calculation obtaink1=1886N, Pk2Identified h in=4150N and a stepmax=8mm,
To the maximum allowable load p of the high intensity two-stage progressive rate leaf springmaxIt is determined, i.e.,
(4) the main spring root maximum stress σ of high-intensitive two-stage progressive rate leaf springMSimulation calculation:
According to the width b=63mm, the half clamping length L of first main spring of the high intensity two-stage progressive rate leaf spring1=
500mm, unloaded load p0=1715N, the h being calculated in step (2)Me=10.1mm and simulation calculation obtain Pk1=
1886N、 Pk2=4150N, identified P in step (3)max=21694N and hmax=8mm is rigid to the high intensity two-stage gradual change
Spend main spring root maximum stress σ of the leaf spring in different loads PMSimulation calculation is carried out, i.e.,
Using Matlab calculation procedure, the main spring root of the obtained high intensity two-stage progressive rate leaf spring of simulation calculation
Maximum stress σMWith load p variation characteristic curve, as shown in Figure 3, wherein in maximum allowable load pmaxMain spring under=21694N
The maximum stress of root is equal to maximum permissible stress, i.e. σmax=1200MPa.
(5) first order auxiliary spring root maximum stress σ of high-intensitive two-stage progressive rate leaf springA1Simulation calculation:
According to the width b=63mm, the half clamping length L of first main spring of high-intensitive two-stage progressive rate leaf spring1=
500mm, the h being calculated in step (2)MA1eThe P that=13.3mm and simulation calculation obtaink1=1886N and Pk2=4150N,
Identified h in step (3)A1max=11mm and Pmax=21694N, to the high intensity two-stage progressive rate leaf spring in different loads
First order auxiliary spring root maximum stress σ in the case of PA1Simulation calculation is carried out, i.e.,
Using Matlab calculation procedure, the first order auxiliary spring root for the high intensity grade progressive rate leaf spring being calculated is most
Big stress σA1With the change curve characteristic of load p, as shown in Figure 4；Wherein, in maximum allowable load pmaxUnder=21694N
Level-one auxiliary spring root maximum stress σA1max=1167MPa.
(6) second level auxiliary spring root maximum stress σ of high-intensitive two-stage progressive rate leaf springA2Simulation calculation:
According to the width b=63mm, the half clamping length L of first main spring of high-intensitive two-stage progressive rate leaf spring1=
500mm, the h being calculated in step (2)MA2eThe P that=17.1mm and simulation calculation obtaink2=4150N, institute in step (3)
Determining hA2max=11mm and Pmax=21694N, to the high intensity two-stage progressive rate leaf spring in different loads P
Second level auxiliary spring root maximum stress σA2Simulation calculation is carried out, i.e.,
Using Matlab calculation procedure, the second level auxiliary spring root for the high intensity grade progressive rate leaf spring that simulation calculation obtains
Portion maximum stress σA2With the change curve characteristic of load p, as shown in Figure 5；Wherein, in maximum allowable load pmaxUnder=21694N
Second level auxiliary spring root maximum stress σA2max=915MPa.
By model machine emulation and loading stress experimental test it is found that high intensity two-stage progressive rate master provided by the present invention
The calculation method of the maximum stress characteristic of auxiliary spring is that correctly, suspension offset frequency simulation calculation value and test under specified load are surveyed
Examination validation value matches, and provides reliable technical method for high-intensitive two-stage progressive rate leaf spring stress characteristics emulation.It utilizes
This method can ensure that the maximum stress of designed high-intensitive two-stage progressive rate leaf spring meets requirement of strength design, improve product
Design level, quality, reliability；Meanwhile design and testing expenses are reduced, accelerate product development speed.
Claims (1)
1. the calculation method of the maximum stress characteristic of high-intensitive two-stage progressive rate major-minor spring, wherein leaf spring uses high strength steel
Plate, each leaf spring be with center mounting hole symmetrical structure, installation clamp away from half be U-bolts clamp away from half；Plate
Spring is made of main spring and two-stage auxiliary spring, passes through the initial tangential camber and two-stage gradual change gap of main spring and two-stage auxiliary spring, it is ensured that plate
Spring meets the requirement that contact load, progressive rate and the offset frequency being suspended under gradual change load remain unchanged, i.e., equal gradual changes offset frequency type
High-intensitive two-stage progressive rate leaf spring；According to the structural parameters of each leaf spring, elasticity modulus, maximum permissible stress, unloaded load,
The initial tangential camber design value of main spring and the first order and second level auxiliary spring, to the main spring of high-intensitive two-stage progressive rate leaf spring,
The root maximum stress characteristic of the first order and second level auxiliary spring under different loads carries out simulation calculation, specific simulation calculation step
It is as follows:
(1) simulation calculation of the upper and lower surface initial curvature radius in the two-stage gradual change gap of high-intensitive two-stage progressive rate leaf spring:
I step: main spring tailpiece lower surface initial curvature radius RM0bCalculating
According to main spring initial tangential camber design value HgM0, the piece number n of main spring, the thickness h of each of main springi, i=1,2 ..., n are main
Spring first half clamping length L1, to main spring tailpiece lower surface initial curvature radius RM0bSimulation calculation is carried out, i.e.,
II step: first upper surface initial curvature radius R of first order auxiliary springA10aSimulation calculation
According to first order auxiliary spring first half clamping length LA11, the initial tangential camber design value H of first order auxiliary springgA10, right
First upper surface initial curvature radius R of first order auxiliary springA10aSimulation calculation is carried out, i.e.,
III step: first order auxiliary spring tailpiece lower surface initial curvature radius RA10bSimulation calculation
According to the piece number m of first order auxiliary spring1, thickness h that first order auxiliary spring is eachA1j, j=1,2 ... m1, meter is emulated in II step
Calculate obtained RA10a, to first order auxiliary spring tailpiece lower surface initial curvature radius RA10bSimulation calculation is carried out, i.e.,
IV step: first upper surface initial curvature radius R of second level auxiliary springA20aSimulation calculation
According to second level auxiliary spring first half clamping length LA21, the initial tangential camber design value H of second level auxiliary springgA20, right
The radius of curvature R of second level auxiliary spring head on piece tableA20aSimulation calculation is carried out, i.e.,
(2) simulation calculation of each secondary contact load of high-intensitive two-stage progressive rate leaf spring:
Step A: main spring and its calculating with the first order and the root lap equivalent thickness of second level auxiliary spring
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 auxiliary spring
Each thickness hA1j, j=1,2 ..., m1；The piece number m of second level auxiliary spring2, thickness h that second level auxiliary spring is eachA2k, k=1,
2,…,m2；To the equivalent thickness h of main spring root lapMeAnd the root weight of main spring and first order auxiliary spring and second level auxiliary spring
The equivalent thickness h of folded partMA1eAnd hMA2eIt is calculated, i.e.,
Step B: the 1st beginning contact load Pk1Simulation calculation
According to the width b of high-intensitive two-stage progressive rate leaf spring, elastic modulus E；The half of first of main spring clamps span length's degree L1, step
Suddenly the R that simulation calculation obtains in (1)M0bAnd RA10aAnd step A is in the h being calculatedMe, to the 1st beginning contact load Pk1Into
Row simulation calculation, i.e.,
Step C: the 2nd beginning contact load Pk2Simulation calculation
According to the width b of high-intensitive two-stage progressive rate leaf spring, elastic modulus E；The half of first main spring clamps span length's degree L1, step
Suddenly the obtained R of simulation calculation in (1)A10bAnd RA20aAnd the h being calculated in step AMA1e, simulation calculation obtains in step B
Pk1, to the 2nd beginning Pk2Simulation calculation is carried out, i.e.,
(3) the maximum allowable load p of high-intensitive two-stage progressive rate leaf springmaxDetermination:
A step: the thickness h of the maximum gauge leaf spring of main springmaxDetermination
According to the piece number n of main spring, the thickness h of each of main springi, determine the thickness h of the maximum gauge leaf spring of main springmax, i.e.,
hmax=max (hi), i=1,2 ..., n；
B step: the thickness h of the maximum gauge leaf spring of first order auxiliary springA1maxDetermination
According to the piece number m of first order auxiliary spring1, thickness h that first order auxiliary spring is eachA1j, determine the maximum gauge plate of first order auxiliary spring
The thickness h of springA1max, i.e.,
hA1max=max (hA1j), j=1,2 ..., m1；
Step c: the maximum leaf spring thickness h of second level auxiliary springA2maxDetermination
According to the piece number m of second level auxiliary spring2, thickness h that second level auxiliary spring is eachA2k, determine the maximum gauge plate of second level auxiliary spring
The thickness h of springA2max, i.e.,
hA2max=max (hA2k), k=1,2 ..., m2；
Step d: the maximum allowable load p of second level leaf spring with gradually changing stiffnessmaxDetermination
According to the width b of high-intensitive second level leaf spring with gradually changing stiffness, maximum permissible stress [σ]；The half of first main spring clamps
Length L1, the h that is calculated in step (2)Me、hMA1e、hMA2eAnd the P that simulation calculation obtainsk1And Pk2, in a step determined by
hmax, to the maximum allowable load p of high-intensitive two-stage progressive rate leaf springmaxIt is calculated, i.e.,
(4) the main spring root maximum stress σ of high-intensitive two-stage progressive rate leaf springMSimulation calculation:
According to the width b, the half clamping length L of first main spring of high-intensitive two-stage progressive rate leaf spring1, unloaded load p0, step
(2) P that simulation calculation obtains ink1、Pk2And identified P in step (3)maxAnd hmax, to the main spring in the case of different loads P
Root maximum stress σMSimulation calculation is carried out, i.e.,
(5) first order auxiliary spring root maximum stress σ of high-intensitive two-stage progressive rate leaf springA1Simulation calculation:
According to the width b, the half clamping length L of first main spring of high-intensitive two-stage progressive rate leaf spring1, step calculates in (2)
The h arrivedMA1eAnd the P that simulation calculation obtainsk1、Pk2, identified h in step (3)A1maxAnd Pmax, in the case of different loads P
First order auxiliary spring root maximum stress σA1Simulation calculation is carried out, i.e.,
(6) second level auxiliary spring root maximum stress σ of high-intensitive two-stage progressive rate leaf springA2Simulation calculation:
According to the width b, the half clamping length L of first main spring of high-intensitive two-stage progressive rate leaf spring1, step calculates in (2)
The h arrivedMA2eAnd the P that simulation calculation obtainsk2, identified h in step (3)A2maxAnd Pmax, in the case of different loads P
Second level auxiliary spring root maximum stress σA2Simulation calculation is carried out, i.e.,
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