CN106812849B - The Method for Checking of the contact load of the offset frequencys type three-level progressive rate leaf spring such as non- - Google Patents
The Method for Checking of the contact load of the offset frequencys type three-level progressive rate leaf spring such as non- Download PDFInfo
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- CN106812849B CN106812849B CN201710023260.4A CN201710023260A CN106812849B CN 106812849 B CN106812849 B CN 106812849B CN 201710023260 A CN201710023260 A CN 201710023260A CN 106812849 B CN106812849 B CN 106812849B
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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
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/15—Vehicle, aircraft or watercraft design
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
-
- 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
Abstract
The present invention relates to the Method for Checking of the contact load of the offset frequencys type three-level progressive rate leaf spring such as non-, belong to vehicle suspension leaf spring technical field.The present invention can be according to the half clamping length of first main spring, the thickness of each main spring and auxiliary spring at different levels, elasticity modulus, U-bolts clamp away from, the initial tangential camber design value of main spring and auxiliary spring at different levels checks each secondary contact load of the offset frequencys type three-level progressive rate leaf spring such as non-of given design structure.By model machine load deflection is tested, the Method for Checking of the contact load of offset frequencys type three-level progressive rate leaf spring such as non-provided by the present invention is correct, accurately and reliably each secondary contact load checking computations value can be obtained, established reliable technical foundation for the verifying of leaf spring characteristic Simulation.It can ensure that each secondary contact load meets leaf spring design requirement using this method, improve design level, quality and the performance and vehicle driving ride comfort and 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 springs, are especially testing for the contact load of the offset frequencys type three-level progressive rate leaf spring such as non-
Calculation method.
Background technique
It, can be by the main spring and pair of former first-order gradient rigidity leaf spring in order to meet the vehicle driving ride comfort under different loads
Spring is split as two-stage respectively, that is, uses three-level progressive rate leaf spring；Meanwhile in order to meet the stress intensity of main spring, usually pass through
Main spring and three-level auxiliary spring initial tangential camber and three-level gradual change gap, make three-level auxiliary spring suitably undertake load in advance, to reduce
The stress of main spring, i.e., using the offset frequencys type three-level progressive rate plate spring suspension brackets such as non-, wherein each secondary contact load not only influences gradual change
Rigidity, suspension offset frequency and vehicle driving ride comfort have an effect on the stress intensity, suspension reliability and vehicle driving safety of leaf spring
Property, and whether contact load design requirement is met for the offset frequencys type three-level progressive rate leaf spring such as non-of given design structure,
It must be checked, and the checking computations of each secondary contact load are also the premise of leaf spring characteristic Simulation verifying.However, due to by
Leaf spring root lap equivalent thickness at different levels, which calculate, to be restricted, and it is rigid not provide the offset frequencys type three-level gradual change such as non-always inside and outside predecessor State
The Method for Checking for spending the contact load of leaf spring, is not able to satisfy the offset frequencys type three-level progressive rate leaf spring design such as non-and CAD software is opened
Hair requires.With Vehicle Speed and its continuous improvement required ride comfort, progressive rate plate spring suspension brackets are proposed more
High request, therefore, it is necessary to establish a kind of accurate, the reliably contact load of offset frequencys type three-level progressive rate leaf spring such as non-checking computations
Method establishes reliable technical foundation for the characteristic Simulation verifying of the offset frequencys type three-level progressive rate leaf spring such as non-, meets vehicle row
Industry fast development, vehicle driving ride comfort and the design requirement to the offset frequencys type three-level progressive rate leaf spring such as non-, improve product
Design level, quality and performance and vehicle driving ride comfort and safety；Meanwhile design and testing expenses are reduced, accelerate product
Development rate.
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,
Reliably the Method for Checking of the contact load of offset frequencys type three-level progressive rate leaf spring such as non-, checking computations process are as shown in Figure 1.Three-level
The half symmetrical structure of progressive rate leaf spring is as shown in Fig. 2, be by main spring 1, first order auxiliary spring 2 and second level auxiliary spring 3 and third
Composed by grade auxiliary spring 4, the half of the total span of three-level progressive rate leaf spring is equal to the half action length L of first main spring1T, ride
Horse conch bolt clamp away from half be L0, the width of leaf spring is b, elasticity modulus E, allowable stress [σ].Wherein, the piece number of main spring 1
N piece, each of main spring with a thickness of hi, the half action length of each of main spring is LiT, half clamping length Li=LiT-L0/ 2, i=
1,2,…,n.The piece number of first order auxiliary spring 2 is n1, first order auxiliary spring each with a thickness of hA1j, half action length is LA1jT, one
Half clamping length LA1j=LA1jT-L0/ 2, j=1,2 ..., n1.The piece number of second level auxiliary spring 3 is n2, thickness that second level auxiliary spring is each
Degree is hA2k, half action length LA2kT, half clamping length LA2k=LA2kT-L0/ 2, k=1,2 ..., n2.Third level auxiliary spring 4
The piece number is n3, third level auxiliary spring each with a thickness of hA3l, the half action length L of l pieceA3lT, half clamping length LA3l=
LA3lT-L0/ 2, l=1,2 ..., n3.By the initial tangential camber of main spring and auxiliary spring at different levels, main spring 1 tailpiece lower surface with
First order gradual change gap delta is provided between first upper surface of first order auxiliary spring 2MA1；The tailpiece lower surface of first order auxiliary spring 2 with
Second level gradual change gap delta is provided between first upper surface of second level auxiliary spring 3A12；The tailpiece lower surface of second level auxiliary spring 3 with
Third level gradual change gap delta is provided between first upper surface of third level auxiliary spring 4A23, carried with meeting the contact of progressive rate leaf spring
Lotus, progressive rate, stress intensity, the design requirement of suspension offset frequency and vehicle driving ride comfort and safety.According to first main spring
Half step up length, the thickness of each of main spring and auxiliary springs at different levels, leaf spring width, elasticity modulus, U-bolts clamps away from main spring
With the initial tangential camber design value of auxiliary springs at different levels, to each of the offset frequencys type three-level progressive rate leaf spring such as non-of given design structure
Secondary contact load is checked.
In order to solve the above technical problems, the contact load of the offset frequencys type three-level progressive rate leaf spring such as non-provided by the present invention
Method for Checking, it is characterised in that use following checking computations step:
(1) calculating of the initial curvature radius of the main spring and auxiliary spring at different levels of the offset frequencys type three-level progressive rate leaf spring such as non-:
I step: main spring tailpiece lower surface initial curvature radius RM0bIt calculates
According to main reed number n, the thickness h of each of main springi, i=1,2 ..., n；The half clamping length L of first of main spring1, main
The initial tangential camber H of springgM0, to main spring tailpiece lower surface initial curvature radius RM0bIt is calculated, i.e.,
II step: first upper surface initial curvature radius R of first order auxiliary springA10aIt calculates
According to first order auxiliary spring first half clamping length LA11, the initial tangential camber H of first order auxiliary springgA10, to
First upper surface initial curvature radius R of level-one auxiliary springA10aIt is calculated, i.e.,
III step: first order auxiliary spring tailpiece lower surface initial curvature radius RA10bIt calculates
According to first order auxiliary spring the piece number n1, thickness h that first order auxiliary spring is eachA1j, j=1,2 ..., n1；It is calculated in II step
Obtained RA10a, to first order auxiliary spring tailpiece lower surface initial curvature radius RA10bIt is calculated, i.e.,
IV step: first upper surface initial curvature radius R of second level auxiliary springA20aCalculating
According to second level auxiliary spring first half clamping length LA21, the initial tangential camber design value of second level auxiliary spring
HgA20, to first upper surface initial curvature radius R of second level auxiliary springA20aIt is calculated, i.e.,
V step: second level auxiliary spring tailpiece lower surface initial curvature radius RA20bCalculating
Very according to second level auxiliary spring the piece number n2, thickness h that second level auxiliary spring is eachA2k, k=1,2 ..., n2And IV step institute is really
Fixed RA20a, to second level auxiliary spring tailpiece lower surface initial curvature radius RA20bIt is calculated, i.e.,
VI step: first upper surface initial curvature radius R of third level auxiliary springA30aCalculating
According to third level auxiliary spring first half clamping length LA31, the initial tangential camber H of third level auxiliary springgA30, to
First upper surface initial curvature radius R of three-level auxiliary springA30aIt is calculated, i.e.,
(2) the main spring of the offset frequencys type three-level progressive rate leaf spring such as non-and its equivalent thickness of root lap with auxiliary springs at different levels
The calculating of degree: according to main reed number n, the thickness h of each of main springi, i=1,2 ... n；The piece number n of first order auxiliary spring1, first order pair
The thickness h that spring is eachA1j, j=1,2 ..., n1；Second level auxiliary spring the piece number n2, thickness h that second level auxiliary spring is eachA2k, k=1,
2,…,n2；Third level auxiliary spring the piece number n3, thickness h that third level auxiliary spring is eachA3l, l=1,2 ..., n3；To main spring and its with it is at different levels
The root lap equivalent thickness h of auxiliary springMe、hMA1e、hMA2e、hMA3eIt is respectively calculated, it may be assumed that
(3) the 1st beginning contact load P of the offset frequencys type three-level progressive rate leaf spring such as non-k1Checking computations
According to the width b of the offset frequencys type three-level progressive rate leaf spring such as non-, elastic modulus E；The half of first of main spring clamps length
Spend L1, the R that is calculated in step (1)M0bAnd RA10a, the h that is calculated in step (2)Me, to the 1st beginning contact load Pk1
It is checked, i.e.,
(4) the 2nd beginning contact load P of the offset frequencys type three-level progressive rate leaf spring such as non-k2Checking computations:
According to the width b of the offset frequencys type three-level progressive rate leaf spring such as non-, elastic modulus E；The half of first of main spring clamps length
Spend L1, the R that is calculated in step (1)A10bAnd RA20a, the h that is calculated in step (2)MA1e, checking computations obtain in step (3)
Pk1, to the 2nd beginning contact load Pk2It is checked, i.e.,
(5) the 3rd beginning contact load P of the offset frequencys type three-level progressive rate leaf spring such as non-k3Checking computations:
According to the width b of the offset frequencys type three-level progressive rate leaf spring such as non-, elastic modulus E；The half of first of main spring clamps length
Spend L1, the R that is calculated in step (1)A20bAnd RA30a, the h that is calculated in step (2)MA2e, checking computations obtain in step (4)
Pk2, to the 3rd beginning contact load Pk3It is checked, i.e.,
(6) the 3rd full contact load p of the offset frequencys type three-level progressive rate leaf spring such as non-w3Checking computations:
According to the P that checking computations obtain in step (4)k2, step (5) is middle to check obtained Pk3, to the 3rd full contact load
Pw3It is checked, i.e.,
The present invention has the advantage that than the prior art
It is restricted due to being calculated by leaf spring root lap equivalent thickness at different levels, does not provide non-wait partially inside and outside predecessor State always
The Method for Checking of the contact load of frequency type three-level progressive rate leaf spring is not able to satisfy the offset frequencys type three-level progressive rate leaf spring such as non-and sets
Meter and CAD software exploitation require.The present invention can step up length, the thickness of each of main spring and auxiliary springs at different levels according to the half of first main spring
Degree, elasticity modulus, U-bolts are clamped away from the initial tangential camber design value of main spring and auxiliary spring at different levels, to given design structure
Each secondary contact load of the offset frequencys type three-level progressive rate leaf spring such as non-checked.Tested by model machine load deflection it is found that
The Method for Checking of the contact load of offset frequencys type three-level progressive rate leaf spring such as non-provided by the present invention be non-equal inclined correctly
The characteristic Simulation of frequency type three-level progressive rate leaf spring has established reliable technical foundation.It can be obtained using this method each time reliable
The checking computations value of contact load, it is ensured that leaf spring meets each secondary contact load, progressive rate, stress intensity, suspension offset frequency and vehicle row
The design requirement of ride comfort and safety is sailed, horizontal product design, quality and performance and vehicle driving ride comfort are improved；Meanwhile
Design and testing expenses are reduced, product development speed is accelerated.
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 checking computations flow chart of the contact load of the offset frequencys type three-level progressive rate leaf spring such as non-；
Fig. 2 is the half symmetrical structure schematic diagram of the offset frequencys type three-level progressive rate leaf spring such as non-.
Specific embodiment
Below by embodiment, invention is further described in detail.
Embodiment: the width b=63mm of certain offset frequencys type three-level progressive rate leaf spring such as non-, U-bolts clamp away from half
L0=50mm, elastic modulus E=200GPa.Total the piece number N=5 of major-minor spring, wherein main reed number n=2, each thickness h of main spring1
=h2=8mm；The half action length of first main spring is L1T=525mm, half clamping length are L1=L1T-L0/ 2=500mm.
The piece number n of first order auxiliary spring1=1, thickness hA11=8mm；The piece number n of second level auxiliary spring2=1, thickness hA21=13mm；The third level
The piece number n of auxiliary spring3=1, thickness hA31=13mm.The initial tangential camber H of main springgM0=102.3mm, first order auxiliary spring it is initial
Tangent line camber HgA10=18.8mm, the initial tangential camber H of second level auxiliary springgA20=6mm, the initial tangential arc of third level auxiliary spring
High HgA30=1.6mm.According to main spring first half clamping length, the thickness of each of main spring and auxiliary springs at different levels, elasticity modulus is ridden
Horse conch bolt is clamped away from, the initial tangential camber design value of main spring and auxiliary spring at different levels, to the offset frequencys type three-level progressive rate plate such as non-
Each secondary contact load of spring is checked.
The Method for Checking of the contact load of the offset frequencys type three-level progressive rate leaf spring such as non-, is tested provided by present example
Process is calculated as shown in Figure 1, specifically steps are as follows for checking computations:
(1) calculating of the initial curvature radius of the main spring and auxiliary spring at different levels of the offset frequencys type three-level progressive rate leaf spring such as non-:
I step: main spring tailpiece lower surface initial curvature radius RM0bIt calculates
According to main reed number n=2, the thickness h of each of main spring1=h2=8mm；The half clamping length L of first of main spring1=
500mm, the initial tangential camber H of main springgM0=102.3mm, to main spring tailpiece lower surface initial curvature radius RM0bIt is calculated,
I.e.
II step: first upper surface initial curvature radius R of first order auxiliary springA10aIt calculates
According to first order auxiliary spring first half clamping length LA11=325mm, the initial tangential camber of first order auxiliary spring
HgA10=18.8mm, to first upper surface initial curvature radius R of first order auxiliary springA10aIt is calculated, i.e.,
III step: first order auxiliary spring tailpiece lower surface initial curvature radius RA10bIt calculates
According to first order auxiliary spring the piece number n1=1, thickness hA11=8mm；The R being calculated in II stepA10a=2818.6mm,
To first order auxiliary spring tailpiece lower surface initial curvature radius RA10bIt is calculated, i.e.,
IV step: first upper surface initial curvature radius R of second level auxiliary springA20aCalculating
According to second level auxiliary spring first half clamping length LA21=225mm, the initial tangential camber of second level auxiliary spring
HgA20=6mm, to first upper surface initial curvature radius R of second level auxiliary springA20aIt is calculated, i.e.,
V step: second level auxiliary spring tailpiece lower surface initial curvature radius RA20bCalculating
Very according to second level auxiliary spring the piece number n2=1, thickness hA21R determined by=13mm and IV stepA20a=4221.8mm,
To second level auxiliary spring tailpiece lower surface initial curvature radius RA20bIt is calculated, i.e.,
RA20b=RA20a+hA21=4234.8mm；
VI step: first upper surface initial curvature radius R of third level auxiliary springA30aCalculating
According to third level auxiliary spring first half clamping length LA31=125mm, the initial tangential camber of third level auxiliary spring
HgA30=1.6mm, to first upper surface initial curvature radius R of third level auxiliary springA30aIt is calculated, i.e.,
(2) the main spring of the offset frequencys type three-level progressive rate leaf spring such as non-and its equivalent thickness of root lap with auxiliary springs at different levels
The calculating of degree: according to main reed number n=2, the thickness h of each of main spring1=h1=8mm；The piece number n of first order auxiliary spring1=1, thickness
hA11=8mm；Second level auxiliary spring the piece number n2=1, thickness hA21=13mm；Third level auxiliary spring the piece number n3=1, thickness hA31=13mm；
To main spring and its with the root lap equivalent thickness h of auxiliary springs at different levelsMe、hMA1e、hMA2e、hMA3eIt is respectively calculated, it may be assumed that
(3) the 1st beginning contact load P of the offset frequencys type three-level progressive rate leaf spring such as non-k1Checking computations:
According to the width b=63mm of the offset frequencys type three-level progressive rate leaf spring such as non-, elastic modulus E=200GPa；Main spring
First half clamping length L1=500mm, step (1) is middle to calculate obtained RM0b=1289mm and RA10a=2818.6mm,
The h being calculated in step (2)Me=10.1mm, to the 1st beginning contact load Pk1It is checked, i.e.,
(4) the 2nd beginning contact load P of the offset frequencys type three-level progressive rate leaf spring such as non-k2Checking computations:
According to the width b=63mm of the offset frequencys type three-level progressive rate leaf spring such as non-, elastic modulus E=200GPa；Main spring
First half clamping length L1=500mm, the R being calculated in step (1)A10b=2826.6mm and RA20a=4221.8mm,
The h being calculated in step (2)MA1e=11.5mm, the P that the middle checking computations of step (3) obtaink1=1810N starts to contact to the 2nd time
Load pk2It is checked, i.e.,
(5) the 3rd beginning contact load P of the offset frequencys type three-level progressive rate leaf spring such as non-k3Checking computations:
According to the width b=63mm of the offset frequencys type three-level progressive rate leaf spring such as non-, elastic modulus E=200GPa；Main spring
First half clamping length L1=500mm, the R being calculated in step (1)A20b=4234.8mm and RA30a=
4883.6mm, the h being calculated in step (2)MA2e=15.5mm, the P that the middle checking computations of step (4) obtaink2=2564.8N, to the 3rd
Secondary beginning contact load Pk3It is checked, i.e.,
(6) the 3rd full contact load p of the offset frequencys type three-level progressive rate leaf spring such as non-w3Checking computations:
According to the P that checking computations obtain in step (4)k2=2564.8N, the P that the middle checking computations of step (5) obtaink3=3056.7N is right
3rd full contact load p of the offset frequencys type three-level progressive rate leaf spring such as non-w3It is checked, i.e.,
1st time, the 2nd time, the 3rd beginning of the offset frequencys type three-level progressive rate leaf springs such as compared with design value it is found that this is non-
The checking computations value P of contact load and the 3rd full contact loadk1=1810N, Pk2=2564.8N, Pk3=3056.7N and Pw3=
3643N matches with design requirement value, illustrate the offset frequencys type three-level progressive rate leaf spring such as non-structure design be it is reliable,
The design requirement of contact load can be met.
It is tested by model machine load deflection it is found that the offset frequencys type three-level progressive rate leaf spring such as non-provided by the present invention connects
The Method for Checking of touching load is that correctly, the characteristic Simulation for the offset frequencys type three-level progressive rate leaf spring such as non-has established reliable skill
Art basis.The checking computations value of reliable each secondary contact load can be obtained using this method, it is ensured that meet each secondary contact load of leaf spring, gradually
Variation rigidity, stress intensity, the design requirement of suspension offset frequency and vehicle driving ride comfort and safety, improve product design it is horizontal,
Quality and performance and vehicle driving ride comfort and safety；Meanwhile design and testing expenses are reduced, accelerate product development speed.
Claims (1)
1. the Method for Checking of the contact load of the offset frequencys type three-level progressive rate leaf spring such as non-, wherein each leaf spring is to be worn with center
Fill hole symmetrical structure, installation clamp away from half be U-bolts clamp away from half；Leaf spring is main spring and three-level auxiliary spring structure
At passing through the initial tangential camber and three-level gradual change gap of main spring and three-level auxiliary spring, it is ensured that it is rigid to meet leaf spring contact load, gradual change
Degree, stress intensity, the design requirement of suspension offset frequency and vehicle driving ride comfort and safety, i.e., non-etc. offset frequencys type three-level gradual change are rigid
Spend leaf spring；According to the structural parameters of each leaf spring, elasticity modulus, U-bolts is clamped away from main spring and the initial of auxiliary spring at different levels cut
The high design value of bank tests each secondary contact load of the offset frequencys type three-level progressive rate leaf spring such as non-of given design structure
It calculates, steps are as follows for specific checking computations:
(1) calculating of the initial curvature radius of the main spring and auxiliary spring at different levels of the offset frequencys type three-level progressive rate leaf spring such as non-:
I step: main spring tailpiece lower surface initial curvature radius RM0bIt calculates
According to main reed number n, the thickness h of each of main springi, i=1,2 ..., n；The half clamping length L of first of main spring1, main spring
Initial tangential camber HgM0, to main spring tailpiece lower surface initial curvature radius RM0bIt is calculated, i.e.,
II step: first upper surface initial curvature radius R of first order auxiliary springA10aIt calculates
According to first order auxiliary spring first half clamping length LA11, the initial tangential camber H of first order auxiliary springgA10, to the first order
First upper surface initial curvature radius R of auxiliary springA10aIt is calculated, i.e.,
III step: first order auxiliary spring tailpiece lower surface initial curvature radius RA10bIt calculates
According to first order auxiliary spring the piece number n1, thickness h that first order auxiliary spring is eachA1j, j=1,2 ..., n1；It is calculated in II step
RA10a, to first order auxiliary spring tailpiece lower surface initial curvature radius RA10bIt is calculated, i.e.,
IV step: first upper surface initial curvature radius R of second level auxiliary springA20aCalculating
According to second level auxiliary spring first half clamping length LA21, the initial tangential camber design value H of second level auxiliary springgA20, right
First upper surface initial curvature radius R of second level auxiliary springA20aIt is calculated, i.e.,
V step: second level auxiliary spring tailpiece lower surface initial curvature radius RA20bCalculating
Very according to second level auxiliary spring the piece number n2, thickness h that second level auxiliary spring is eachA2k, k=1,2 ..., n2And determined by IV step
RA20a, to second level auxiliary spring tailpiece lower surface initial curvature radius RA20bIt is calculated, i.e.,
VI step: first upper surface initial curvature radius R of third level auxiliary springA30aCalculating
According to third level auxiliary spring first half clamping length LA31, the initial tangential camber H of third level auxiliary springgA30, to the third level
First upper surface initial curvature radius R of auxiliary springA30aIt is calculated, i.e.,
(2) the main spring of the offset frequencys type three-level progressive rate leaf spring such as non-and its with the root lap equivalent thickness of auxiliary springs at different levels
It calculates: according to main reed number n, the thickness h of each of main springi, i=1,2 ... n；The piece number n of first order auxiliary spring1, first order auxiliary spring is each
The thickness h of pieceA1j, j=1,2 ..., n1；Second level auxiliary spring the piece number n2, thickness h that second level auxiliary spring is eachA2k, k=1,2 ...,
n2；Third level auxiliary spring the piece number n3, thickness h that third level auxiliary spring is eachA3l, l=1,2 ..., n3；To main spring and its with auxiliary springs at different levels
Root lap equivalent thickness hMe、hMA1e、hMA2e、hMA3eIt is respectively calculated, it may be assumed that
(3) the 1st beginning contact load P of the offset frequencys type three-level progressive rate leaf spring such as non-k1Checking computations
According to the width b of the offset frequencys type three-level progressive rate leaf spring such as non-, elastic modulus E；The half clamping length L of first of main spring1,
The R being calculated in step (1)M0bAnd RA10a, the h that is calculated in step (2)Me, to the 1st beginning contact load Pk1It carries out
Checking computations, i.e.,
(4) the 2nd beginning contact load P of the offset frequencys type three-level progressive rate leaf spring such as non-k2Checking computations:
According to the width b of the offset frequencys type three-level progressive rate leaf spring such as non-, elastic modulus E；The half clamping length L of first of main spring1,
The R being calculated in step (1)A10bAnd RA20a, the h that is calculated in step (2)MA1e, step (3) is middle to check obtained Pk1, right
2nd beginning contact load Pk2It is checked, i.e.,
(5) the 3rd beginning contact load P of the offset frequencys type three-level progressive rate leaf spring such as non-k3Checking computations:
According to the width b of the offset frequencys type three-level progressive rate leaf spring such as non-, elastic modulus E；The half clamping length L of first of main spring1,
The R being calculated in step (1)A20bAnd RA30a, the h that is calculated in step (2)MA2e, step (4) is middle to check obtained Pk2, right
3rd beginning contact load Pk3It is checked, i.e.,
(6) the 3rd full contact load p of the offset frequencys type three-level progressive rate leaf spring such as non-w3Checking computations:
According to the P that checking computations obtain in step (4)k2, step (5) is middle to check obtained Pk3, to the 3rd full contact load pw3Into
Row checking computations, i.e.,
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