CN106372371B - End contact lacks the calculation method of piece parabolic type major-minor spring amount of deflection - Google Patents
End contact lacks the calculation method of piece parabolic type major-minor spring amount of deflection Download PDFInfo
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Abstract
The present invention relates to the calculation methods that end contact lacks piece parabolic type major-minor spring amount of deflection, belong to suspension leaf spring technical field.The present invention can structural parameters, elasticity modulus according to major-minor spring, the major-minor spring amount of deflection for lacking piece parabolic type variable-section steel sheet spring to end contact is designed.By model machine deformation under load test is tested, the calculation method that end contact provided by the present invention lacks piece parabolic type major-minor spring amount of deflection is correct, available accurately and reliably major-minor spring amount of deflection calculated value lacks the camber design of piece parabolic type major-minor spring for end contact and reliable technical foundation has been established in CAD software exploitation.Horizontal product design, quality and performance and vehicle driving ride comfort can be improved using this method, meanwhile, product design and experimental test expense are reduced, product development speed is accelerated.
Description
Technical field
The present invention relates to the meters that vehicle suspension leaf spring, especially end contact lack piece parabolic type major-minor spring amount of deflection
Calculation method.
Background technique
With vehicle energy saving, comfortableization, lightweight, the fast development of safe, few piece variable-section steel sheet spring is because of tool
Have light-weight, the advantages that stock utilization is high, small without rubbing or rubbing between piece, and vibration noise is low, long service life, is increasingly subject to
The highest attention of vehicle suspension expert, manufacturing enterprise and vehicle manufacture enterprise, and obtained extensively in vehicle suspension system
Using.It, can be by few piece Variable Section Steel generally for the design requirement for meeting processing technology, stress intensity, rigidity and lifting lug thickness
Flat spring is processed as the different structures forms such as reinforced parabolic type, bias type, root, reinforcement end, both ends are reinforced, and
Since the stress of few the 1st flat spring of piece variable-section steel sheet spring is complex, it is subjected to vertical load, while also subject to torsion
Load and longitudinal loading, therefore, it is each to be greater than other for the thickness and length of the end flat segments of the 1st flat spring designed by reality
The thickness and length of flat spring end flat segments, i.e., mostly using the non-few piece variable-section steel sheet spring for waiting structures in end, to meet
The requirement of 1st flat spring stress complexity, in addition, usually becoming few piece and cutting to meet the requirement of the rigidity Design under different loads
Face leaf spring is designed as end contact and lacks piece parabolic type variable cross-section major-minor spring form.However, since end contact is few
The structure and contact type of piece parabolic type variable cross-section major-minor spring are complicated, analyze it calculate it is extremely difficult, according to looking into money
Material it is found that do not provided always the calculating side that reliable end contact lacks piece parabolic type major-minor spring amount of deflection both at home and abroad at present
Method constrains the design of few piece variable-section steel sheet spring major-minor spring tangent line camber.With Vehicle Speed and its to ride comfort
It is required that continuous improvement, lacking piece parabolic type variable cross-section major-minor spring to end contact, more stringent requirements are proposed, therefore, it is necessary to
The calculation method that accurate, the reliable end contact of one kind lacks piece parabolic type major-minor spring amount of deflection is established, is that end contact is few
Reliable technical foundation is established in the camber design of piece parabolic type variable cross-section major-minor spring, meets Vehicle Industry fast development, vehicle
Ride performance and end contact lack the design requirement of piece parabolic type variable cross-section major-minor spring, improve product design level, matter
Amount and performance, meet the design requirement of vehicle driving ride comfort；Meanwhile design and testing expenses are reduced, accelerate product development speed
Degree.
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,
Reliable end contact lacks the calculation method of piece parabolic type major-minor spring amount of deflection, calculation flow chart, as shown in Figure 1.End
It is symmetrical structure that contact, which lacks piece parabolic type variable cross-section major-minor spring, and the half symmetrical structure of major-minor spring can see cantilever beam as,
I.e. symmetrical center line is root fixing end, and the end stress point of main spring and the contact of auxiliary spring are respectively as main spring endpoint and auxiliary spring end
Point, the structural schematic diagram of the major-minor spring of half symmetrical structure, as shown in Fig. 2, including, main spring 1, root shim 2, auxiliary spring 3,
End pad 4.The half length of main spring 1 every is LM, it is by three sections of root flat segments, parabolic segment and end flat segments institute's structures
At, root flat segments of every main spring with a thickness of h2M, every main spring clipping room away from half be l3, the width of every main spring is
b；The non-equal structures of the end flat segments of main spring 1 each, i.e., the thickness and length of the end flat segments of the 1st main spring, respectively greater than its
The thickness and length of the end flat segments of his each main spring, the thickness and length of the end flat segments of each main spring are respectively h1Mi
And l1Mi, i=1,2 ..., m, m is main reed number；The intermediate variable cross-section of every main spring is parabolic segment, the parabola of each main spring
The thickness ratio of section is βi=h1Mi/h2M, the distance of root to the main spring endpoint of the parabolic segment of every main spring is l2M=LM-l3, respectively
Distance l of the end of the parabolic segment of the main spring of piece to main spring endpoint1Mi=l2Mβi 2；Each root flat segments of main spring 1 and with pair
Root shim 2 is equipped between the root flat segments of spring 3, the end flat segments of main spring 1 each are equipped with end pad 4, end pad 4
Material be carbon fibre composite, produced frictional noise when for reducing spring works；The half length of auxiliary spring 3 every is
LA, be to be made of root flat segments, parabolic segment and three sections of end flat segments, the root flat segments of every auxiliary spring with a thickness of
h2A, every auxiliary spring clipping room away from half be l3, the width of every auxiliary spring is b；The thickness of the end flat segments of each auxiliary spring and
Length is respectively h1AjAnd l1Aj, j=1,2 ..., n, n is auxiliary spring the piece number；The intermediate variable cross-section of every auxiliary spring is parabolic segment, respectively
The thickness ratio of the parabolic segment of piece auxiliary spring is βAj=h1Aj/h2A, the root of the parabolic segment of every auxiliary spring to auxiliary spring endpoint away from
From for l2A=LA-l3, the distance l of the end of the parabolic segment of each auxiliary spring to auxiliary spring endpoint1Aj=l2AβAj 2；The m piece of main spring 1
Major and minor spring gap delta is equipped between end flat segments and the ends points of auxiliary spring 3；It is secondary when load works load greater than auxiliary spring
Spring is in contact with certain point in the flat segments of main spring end, and auxiliary spring is l at a distance from main spring contact point to main spring endpoint0；When major-minor spring
After the contact of end, each end stress of major-minor spring be not identical, and the main spring being in contact with auxiliary spring is in addition to going back other than by endpoint power
The support force of auxiliary spring is born at contact point.In the case where structural parameters, the elasticity modulus of major-minor spring give situation, to end contact
The major-minor spring amount of deflection of few piece parabolic type variable-section steel sheet spring is calculated.
In order to solve the above technical problems, end contact provided by the present invention lacks the meter of piece parabolic type major-minor spring amount of deflection
Calculation method, it is characterised in that use following calculating step:
(1) end contact lacks the calculating of the major and minor spring endpoint deformation coefficient of piece parabolic type leaf spring:
I step: the calculating of each main spring endpoint deformation coefficient under endpoint stress condition:
According to the half length L of few main spring of piece parabolic type variable-section steel sheet springM, width b, clipping room away from half l3,
Distance l of the parabola root to spring endpoint2M, elastic modulus E, the thickness ratio β of the parabolic segment of i-th main springi, wherein i=
1,2 ..., m, m are main reed number, to deformation coefficient G of each main spring at endpoint under endpoint stress conditionx-DiIt is counted
It calculates, i.e.,
II step: the calculating of the main spring of m piece deformation coefficient at auxiliary spring contact point under endpoint stress condition:
According to the half length L of few main spring of piece parabolic type variable-section steel sheet springM, width b, clipping room away from half l3,
Distance l of the parabola root to spring endpoint2M, elastic modulus E, the thickness ratio β of the parabolic segment of the main spring of m piecem, auxiliary spring and master
Distance l of the spring contact point to main spring endpoint0, the main spring of m piece under endpoint stress condition is contacted in end flat segments with auxiliary spring
Deformation coefficient G at pointx-CDIt is calculated, i.e.,
III step: the calculating of the main spring endpoint deformation coefficient of m piece at major-minor spring contact point under stress condition:
According to the half length L of few main spring of piece parabolic type variable-section steel sheet springM, width b, clipping room away from half l3,
Distance l of the parabola root to spring endpoint2M, elastic modulus E, the thickness ratio β of the parabolic segment of the main spring of m piecem, auxiliary spring and master
Distance l of the spring contact point to main spring endpoint0, to the main spring of m piece under stress condition at major-minor spring contact point at endpoint location
Deformation coefficient Gx-DzmIt is calculated, i.e.,
IV step: the meter of the main spring of m piece deformation coefficient at auxiliary spring contact point at major-minor spring contact point under stress condition
It calculates:
According to the half length L of few main spring of piece parabolic type variable-section steel sheet springM, width b, clipping room away from half l3,
Distance l of the parabola root to spring endpoint2M, elastic modulus E, the thickness ratio β of the parabolic segment of the main spring of m piecem, auxiliary spring and master
Distance l of the spring contact point to main spring endpoint0, to the main spring of m piece under stress condition at major-minor spring contact point in end flat segments
With the deformation coefficient G at auxiliary spring contact pointx-CDzIt is calculated, i.e.,
V step: the calculating of each auxiliary spring endpoint deformation coefficient under endpoint stress condition:
According to the half length L of few piece parabolic type variable-section steel sheet spring auxiliary springA, width b, clipping room away from half l3,
Distance l of the parabola root to spring endpoint2A, elastic modulus E, the thickness ratio β of the parabolic segment of jth piece auxiliary springAj, wherein j
=1,2 ..., n, n are auxiliary spring the piece number, to deformation coefficient G of each auxiliary spring at endpoint location under endpoint stress conditionx-DAjInto
Row calculates, i.e.,
Wherein, the superimposed deformation coefficient G of n piece auxiliary springx-DATFor
(2) end contact lacks the calculating that the main spring of each of piece parabolic type leaf spring clamps rigidity:
Step A: each main spring before auxiliary spring contact clamps stiffness KMiCalculating:
According to main spring root thickness h2MAnd the G being calculated in the I step of step (1)x-Di, before determining that auxiliary spring contacts
Each main spring half stiffness K in the clamp stateMi, i.e.,
Wherein, m is main reed number；
Step B: each main spring after auxiliary spring contact clamps stiffness KMAiCalculating:
According to main spring root thickness h2M, auxiliary spring root thickness h2A, the G that is calculated in the I step of step (1)x-Di, II step
The G being calculated in rapidx-CD, the G that is calculated in III stepx-Dzm, the G that is calculated in IV stepx-CDzAnd V step is fallen into a trap
Obtained Gx-DAT, determine the half stiffness K of each main spring in the clamp state after major-minor spring contactsMAi, i.e.,
Wherein, m is main reed number；
(3) end contact lacks the calculating that each auxiliary spring of piece parabolic type leaf spring clamps rigidity:
According to auxiliary spring root thickness h2AAnd the G being calculated in the V step of step (1)x-DAj, determine that each auxiliary spring is pressing from both sides
Half stiffness K under tight stateAj, i.e.,
Wherein, n is auxiliary spring the piece number；
(4) the end contact under different loads lacks the calculating of the major and minor spring amount of deflection of piece parabolic type leaf spring:
I step: half load p when auxiliary spring worksKCalculating:
According to main spring root thickness h2M, major-minor spring gap delta at contact point, main reed number m, in the II step of step (1)
The G being calculatedx-CDAnd the K determined in the step A of step (2)Mi, determine half load p when auxiliary spring worksK, i.e.,
Ii step: the main spring amount of deflection f under different loadsMCalculating:
According to the P being calculated in main reed number m, the i step of few piece parabolic type variable-section steel sheet springKAnd step
(2) K determined in step AMi, the K that determines in step BMAi, to the main spring amount of deflection f under different loads PMIt is calculated, i.e.,
Iii step: the auxiliary spring amount of deflection f under different loadsACalculating:
According to the main spring root thickness h of few piece parabolic type variable-section steel sheet spring2M, auxiliary spring root thickness h2A, main reed
Count m, the P determined in auxiliary spring the piece number n, i stepK, the G that is calculated in the II step of step (1)x-CD, be calculated in IV step
Gx-CDz, the G that is calculated in V stepx-DAT, the K that determines in the step B of step (2)MAiAnd the K determined in step (3)Aj,
To the auxiliary spring amount of deflection f under different loads PAIt is calculated, i.e.,
The present invention has the advantage that than the prior art
Since end contact lacks the structure and contact type complexity of piece parabolic type variable cross-section major-minor spring, it is divided
Analysis calculate it is extremely difficult, according to consulting reference materials it is found that not provided reliable end contact always both at home and abroad at present and lacking piece parabolic
The calculation method of line style major-minor spring amount of deflection constrains the design of few piece variable-section steel sheet spring major-minor spring tangent line camber.The present invention
Can structural parameters, elasticity modulus according to major-minor spring, the major-minor of piece parabolic type variable-section steel sheet spring is lacked to end contact
The amount of deflection of spring is calculated.It is tested by model machine deformation under load test it is found that end contact provided by the present invention lacks piece throwing
The calculation method of object line style major-minor spring amount of deflection is correctly, accurately and reliably major-minor spring amount of deflection calculated value to can be obtained, connect for end
The camber design of piece parabolic type variable cross-section major-minor spring is lacked in touch and reliable technical foundation has been established in CAD software exploitation；Meanwhile
Using this method, horizontal product design, product quality and vehicle driving ride comfort can be improved；Meanwhile it can also reduce design and examination
Testing expense is tested, 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 calculation flow chart that end contact lacks piece parabolic type major-minor spring amount of deflection；
Fig. 2 is the structural schematic diagram for the half that end contact lacks piece parabolic type variable cross-section major-minor spring；
Main spring amount of deflection f under the different loads P of Fig. 3 embodimentMThe curve of variation；
Auxiliary spring amount of deflection f under the different loads P of Fig. 4 embodimentAThe curve of variation.
Specific embodiment
Below by embodiment, invention is further described in detail.
Embodiment: certain end contact is lacked piece parabolic type variable cross-section major-minor spring and is made of 2 main springs and 1 auxiliary spring, i.e.,
Main reed number m=2, auxiliary spring the piece number n=1, wherein each main spring parameter are as follows: half length LM=575mm, width b=60mm,
The thickness h of root flat segments2M=11mm, clipping room away from half l3=55mm, the root of parabolic segment to main spring endpoint away from
From l2M=LM-l3=520mm, elastic modulus E=200GPa, the thickness h of the end flat segments of the 1st main spring1M1=7mm, parabolic
The thickness ratio β of line segment1=h1M1/h2MThe thickness h of the end flat segments of=0.64, the 2nd main spring1M2=6mm, the thickness of parabolic segment
Degree compares β2=h1M2/h2M=0.55；Auxiliary spring parameter are as follows: half length LA=525mm, width b=60mm, the thickness of root flat segments
Spend h2A=14mm, clipping room away from half l3=55mm, the distance l of the root of parabolic segment to auxiliary spring endpoint2A=LA-l3=
470mm, the thickness h of the end flat segments of the 1st auxiliary spring1A1=8mm, the thickness ratio β of parabolic segmentA1=h1A1/h2A=0.57；
The contact point of auxiliary spring and main spring is located in the flat segments of main spring end, and contact point is to the distance l of main spring endpoint0=50mm, it is major and minor
Gap delta=34.04mm between spring.To the end contact lack the major-minor spring amount of deflection of piece parabolic type variable-section steel sheet spring into
Row calculates.
End contact provided by present example lacks the calculation method of piece parabolic type major-minor spring amount of deflection, calculates stream
Journey is as shown in Figure 1, the specific steps are as follows:
(1) end contact lacks the calculating of the major and minor spring endpoint deformation coefficient of piece parabolic type leaf spring:
I step: the calculating of each main spring endpoint deformation coefficient under endpoint stress condition:
According to the half length L of few main spring of piece parabolic type variable-section steel sheet springM=575mm, width b=60mm, peace
Fill the half l of spacing3=55mm, the distance l of parabola root to spring endpoint2M=520mm, elastic modulus E=200GPa, the
The thickness ratio β of the parabolic segment of 1 main spring1The thickness ratio β of the parabolic segment of=0.64, the 2nd main spring2=0.55, to endpoint by
The 1st, deformation coefficient G of the 2nd main spring at endpoint in the case of powerx-D1、Gx-D2It is calculated, i.e.,
II step: the calculating of the 2nd main spring deformation coefficient at auxiliary spring contact point under endpoint stress condition:
According to the half length L of few main spring of piece parabolic type variable-section steel sheet springM=575mm, width b=60mm, peace
Fill the half l of spacing3=55mm, the distance l of parabola root to spring endpoint2M=520mm, elastic modulus E=200GPa, the
The thickness ratio β of the parabolic segment of 2 main springs2=0.55, auxiliary spring and main spring contact point to main spring endpoint distance l0=50mm is right
Deformation coefficient G of the 2nd main spring at end flat segments and auxiliary spring contact point under endpoint stress conditionx-CDIt is calculated, i.e.,
III step: the calculating of the 2nd main spring endpoint deformation coefficient at major-minor spring contact point under stress condition:
According to the half length L of few main spring of piece parabolic type variable-section steel sheet springM=575mm, width b=60mm, peace
Fill the half l of spacing3=55mm, the distance l of parabola root to spring endpoint2M=520mm, elastic modulus E=200GPa, the
The thickness ratio β of the parabolic segment of 2 main springs2=0.55, auxiliary spring and main spring contact point to main spring endpoint distance l0=50mm is right
Deformation coefficient G of the 2nd main spring at endpoint location at major-minor spring contact point under stress conditionx-Dz2It is calculated, i.e.,
IV step: the meter of the 2nd main spring deformation coefficient at auxiliary spring contact point at major-minor spring contact point under stress condition
It calculates:
According to the half length L of few main spring of piece parabolic type variable-section steel sheet springM=575mm, width b=60mm, peace
Fill the half l of spacing3=55mm, the distance l of parabola root to spring endpoint2M=520mm, elastic modulus E=200GPa, the
The thickness ratio β of the parabolic segment of 2 main springs2=0.55, auxiliary spring and main spring contact point to main spring endpoint distance l0=50mm is right
Deformation coefficient G of the 2nd main spring at end flat segments and auxiliary spring contact point at major-minor spring contact point under stress conditionx-CDzInto
Row calculates, i.e.,
V step: the calculating of each auxiliary spring endpoint deformation coefficient under endpoint stress condition:
According to the half length L of few piece parabolic type variable-section steel sheet spring auxiliary springA=525mm, width b=60mm, peace
Fill the half l of spacing3=55mm, the distance l of parabola root to spring endpoint2A=470mm, elastic modulus E=200GPa, the
The thickness ratio β of the parabolic segment of 1 auxiliary springA1=0.57, to the 1st change of the auxiliary spring at endpoint location under endpoint stress condition
Shape coefficient Gx-DA1It is calculated, i.e.,
Wherein, the superimposed deformation coefficient G of 1 auxiliary springx-DATFor
(2) end contact lacks the calculating that the main spring of each of piece parabolic type leaf spring clamps rigidity:
Step A: each main spring before auxiliary spring contact clamps stiffness KMiCalculating:
According to main spring root thickness h2MThe G being calculated in the I step of=11mm and step (1)x-D1=89.29mm4/
N、Gx-D2=93.78mm4/ N determines the 1st, the half stiffness K of the 2nd main spring in the clamp state before auxiliary spring contactM1、
KM2, i.e.,
Step B: each main spring after auxiliary spring contact clamps stiffness KMAiCalculating:
According to main spring root thickness h2M=11mm, auxiliary spring root thickness h2A=14mm is calculated in the I step of step (1)
The G arrivedx-D1=89.29mm4/N、Gx-D2=93.78mm4The G being calculated in/N, II stepx-CD=77.28mm4/ N, III step
The G being calculated in rapidx-Dz2=77.28mm4The G being calculated in/N, IV stepx-CDz=64.85mm4/ N and V step is fallen into a trap
Obtained Gx-DAT=69.24mm4/ N, determine major-minor spring contact after the 1st, the 2nd main spring in the clamp state one
Half stiffness KMA1、KMA2, i.e.,
(3) end contact lacks the calculating that each auxiliary spring of piece parabolic type leaf spring clamps rigidity:
According to auxiliary spring root thickness h2AThe G being calculated in the V step of=14mm and step (1)x-DA1=69.24mm4/
N determines the half stiffness K of the 1st auxiliary spring in the clamp stateA1, i.e.,
(4) the end contact under different loads lacks the calculating of the major and minor spring amount of deflection of piece parabolic type leaf spring:
I step: half load p when auxiliary spring worksKCalculating:
According to main spring root thickness h2M=11mm, major-minor spring gap delta=34.04mm, main reed number m=2 at contact point,
The G being calculated in the II step of step (1)x-CD=77.28mm4The K determined in the step A of/N and step (2)M1=
14.91N/mm、KM2=14.19N/mm determines half load p when auxiliary spring worksK, i.e.,
Ii step: the main spring amount of deflection f under different loadsMCalculating:
According to the P being calculated in main reed number m=2, the i step of few piece parabolic type variable-section steel sheet springK=
The K determined in the step A of 1202.30N and step (2)M1=14.91N/mm, KM2It is determined in=14.19N/mm, step B
KMA1=14.91N/mm, KMA2=40.20N/mm, to the main spring amount of deflection f under different loads PMIt is calculated, i.e.,
Wherein, the main spring amount of deflection f under different loads PMThe curve of variation is as shown in Figure 3；
Iii step: the auxiliary spring amount of deflection f under different loadsACalculating:
According to the main spring root thickness h of few piece parabolic type variable-section steel sheet spring2M=11mm, auxiliary spring root thickness h2A
=14mm, main reed number m=2, the P determined in auxiliary spring the piece number n=1, i stepK=1202.30N, in the II step of step (1)
The G being calculatedx-CD=77.28mm4The G being calculated in/N, IV stepx-CDz=64.85mm4It is calculated in/N, V step
Gx-DAT=69.24mm4/ N, the K determined in the step B of step (2)MA1=14.91N/mm, KMA2=40.20N/mm and step
(3) K determined inA1=39.63N/mm, to the auxiliary spring amount of deflection f under different loads PAIt is calculated, i.e.,
Wherein, the auxiliary spring amount of deflection f under different loads PAThe curve of variation is as shown in Figure 4.
By prototype test test it is found that the amount of deflection calculated value of major-minor spring is reliably, can to meet end contact and lack piece
The calculating requirement of the major-minor spring amount of deflection of parabolic type variable-section steel sheet spring, the results showed that end contact provided by the invention
The calculation method of few piece parabolic type major-minor spring amount of deflection is correct.
Claims (1)
1. the calculation method that end contact lacks piece parabolic type major-minor spring amount of deflection, wherein end contact lacks piece parabolic type
The half symmetrical structure of variable-section steel sheet spring is made of root flat segments, parabolic segment and 3 sections of end flat segments, each main spring
End flat segments be non-isomorphic, i.e., the thickness and length of the end flat segments of the 1st main spring, respectively greater than other each master
The thickness and length of the end flat segments of spring, to meet the requirement of the 1st main spring complicated applied force；Main spring end flat segments and auxiliary spring
It is equipped with certain major-minor spring gap between contact, is worked the design requirement of load with meeting auxiliary spring；Join in the structure of major-minor spring
Number, elasticity modulus give in situation, to end contact lack the amount of deflection of the major-minor spring of piece parabolic type variable-section steel sheet spring into
Row calculates, and specific design procedure is as follows:
(1) end contact lacks the calculating of the major and minor spring endpoint deformation coefficient of piece parabolic type leaf spring:
I step: the calculating of each main spring endpoint deformation coefficient under endpoint stress condition:
According to the half length L of few main spring of piece parabolic type variable-section steel sheet springM, width b, clipping room away from half l3, parabolic
Distance l of the line root to spring endpoint2M, elastic modulus E, the thickness ratio β of the parabolic segment of i-th main springi, wherein i=1,
2 ..., m, m are main reed number, to deformation coefficient G of each main spring at endpoint under endpoint stress conditionx-DiIt is calculated,
I.e.
II step: the calculating of the main spring of m piece deformation coefficient at auxiliary spring contact point under endpoint stress condition:
According to the half length L of few main spring of piece parabolic type variable-section steel sheet springM, width b, clipping room away from half l3, parabolic
Distance l of the line root to spring endpoint2M, elastic modulus E, the thickness ratio β of the parabolic segment of the main spring of m piecem, auxiliary spring connects with main spring
Distance l of the contact to main spring endpoint0, to the main spring of m piece under endpoint stress condition at end flat segments and auxiliary spring contact point
Deformation coefficient Gx-CDIt is calculated, i.e.,
III step: the calculating of the main spring endpoint deformation coefficient of m piece at major-minor spring contact point under stress condition:
According to the half length L of few main spring of piece parabolic type variable-section steel sheet springM, width b, clipping room away from half l3, parabolic
Distance l of the line root to spring endpoint2M, elastic modulus E, the thickness ratio β of the parabolic segment of the main spring of m piecem, auxiliary spring connects with main spring
Distance l of the contact to main spring endpoint0, to change of the main spring of m piece under stress condition at major-minor spring contact point at endpoint location
Shape coefficient Gx-DzmIt is calculated, i.e.,
IV step: the calculating of the main spring of m piece deformation coefficient at auxiliary spring contact point at major-minor spring contact point under stress condition: root
According to the half length L of few main spring of piece parabolic type variable-section steel sheet springM, width b, clipping room away from half l3, parabola root
To the distance l of spring endpoint2M, elastic modulus E, the thickness ratio β of the parabolic segment of the main spring of m piecem, auxiliary spring arrives with main spring contact point
The distance l of main spring endpoint0, the main spring of m piece under stress condition at major-minor spring contact point is contacted in end flat segments with auxiliary spring
Deformation coefficient G at pointx-CDzIt is calculated, i.e.,
V step: the calculating of each auxiliary spring endpoint deformation coefficient under endpoint stress condition:
According to the half length L of few piece parabolic type variable-section steel sheet spring auxiliary springA, width b, clipping room away from half l3, parabolic
Distance l of the line root to spring endpoint2A, elastic modulus E, the thickness ratio β of the parabolic segment of jth piece auxiliary springAj, wherein j=1,
2 ..., n, n are auxiliary spring the piece number, to deformation coefficient G of each auxiliary spring at endpoint location under endpoint stress conditionx-DAjIt is counted
It calculates, i.e.,
Wherein, the superimposed deformation coefficient G of n piece auxiliary springx-DATFor
(2) end contact lacks the calculating that the main spring of each of piece parabolic type leaf spring clamps rigidity:
Step A: each main spring before auxiliary spring contact clamps stiffness KMiCalculating:
According to main spring root thickness h2MAnd the G being calculated in the I step of step (1)x-Di, each before determining auxiliary spring contact
The half stiffness K of the main spring of piece in the clamp stateMi, i.e.,
Wherein, m is main reed number；
Step B: each main spring after auxiliary spring contact clamps stiffness KMAiCalculating:
According to main spring root thickness h2M, auxiliary spring root thickness h2A, the G that is calculated in the I step of step (1)x-Di, in II step
The G being calculatedx-CD, the G that is calculated in III stepx-Dzm, the G that is calculated in IV stepx-CDzAnd it is calculated in V step
The G arrivedx-DAT, determine the half stiffness K of each main spring in the clamp state after major-minor spring contactsMAi, i.e.,
Wherein, m is main reed number；
(3) end contact lacks the calculating that each auxiliary spring of piece parabolic type leaf spring clamps rigidity:
According to auxiliary spring root thickness h2AAnd the G being calculated in the V step of step (1)x-DAj, determine that each auxiliary spring is clamping shape
Half stiffness K under stateAj, i.e.,
Wherein, n is auxiliary spring the piece number；
(4) the end contact under different loads lacks the calculating of the major and minor spring amount of deflection of piece parabolic type leaf spring:
I step: half load p when auxiliary spring worksKCalculating:
According to main spring root thickness h2M, major-minor spring gap delta at contact point, main reed number m calculates in the II step of step (1)
Obtained Gx-CDAnd the K determined in the step A of step (2)Mi, determine half load p when auxiliary spring worksK, i.e.,
Ii step: the main spring amount of deflection f under different loadsMCalculating:
According to the P being calculated in main reed number m, the i step of few piece parabolic type variable-section steel sheet springKAnd the A of step (2)
The K determined in stepMi, the K that determines in step BMAi, to the main spring amount of deflection f under different loads PMIt is calculated, i.e.,
Iii step: the auxiliary spring amount of deflection f under different loadsACalculating:
According to the main spring root thickness h of few piece parabolic type variable-section steel sheet spring2M, auxiliary spring root thickness h2A, main reed number m,
The P determined in auxiliary spring the piece number n, i stepK, the G that is calculated in the II step of step (1)x-CD, be calculated in IV step
Gx-CDz, the G that is calculated in V stepx-DAT, the K that determines in the step B of step (2)MAiAnd the K determined in step (3)Aj, right
Auxiliary spring amount of deflection f under different loads PAIt is calculated, i.e.,
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610907007.0A CN106372371B (en) | 2016-10-18 | 2016-10-18 | End contact lacks the calculation method of piece parabolic type major-minor spring amount of deflection |
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| CN201610907007.0A CN106372371B (en) | 2016-10-18 | 2016-10-18 | End contact lacks the calculation method of piece parabolic type major-minor spring amount of deflection |
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| JP6320839B2 (en) * | 2014-05-08 | 2018-05-09 | 日野自動車株式会社 | Leaf spring structure for vehicles |
| CN105787189B (en) * | 2016-03-12 | 2018-11-20 | 扬州市明峰弹簧有限公司 | Design method of the reinforced few main spring of piece in root in parabolic segment and auxiliary spring gap |
| CN105912757B (en) * | 2016-04-07 | 2018-11-23 | 扬州市明峰弹簧有限公司 | End contact lacks the strength check methods of piece parabolic type variable cross-section major-minor spring |
| CN105912794B (en) * | 2016-04-18 | 2019-04-16 | 山东双力板簧有限公司 | Non- end contact lacks the calculation method of piece parabolic type each stress of major-minor spring |
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