CN105844062B - End contact lacks the determination method of the reinforced major-minor spring endpoint power in piece root - Google Patents
End contact lacks the determination method of the reinforced major-minor spring endpoint power in piece root Download PDFInfo
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- CN105844062B CN105844062B CN201610269197.8A CN201610269197A CN105844062B CN 105844062 B CN105844062 B CN 105844062B CN 201610269197 A CN201610269197 A CN 201610269197A CN 105844062 B CN105844062 B CN 105844062B
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Abstract
The present invention relates to the determination methods that end contact lacks the reinforced major-minor spring endpoint power in piece root, belong to suspension leaf spring technical field.It is loaded that the present invention can lack each main spring of the reinforced major-minor spring in piece root and the structural parameters of auxiliary spring, major-minor spring gap, elasticity modulus, major-minor spring institute according to end contact, is determined to the endpoint power of each main spring and each auxiliary spring.By example and simulating, verifying, the determination method that the end contact that the invention is provided lacks the reinforced major-minor spring endpoint power in piece root is correct, the endpoint power of available accurately and reliably each main spring and auxiliary spring, important technical basis has been established in the design, complex stiffness checking computations, stress intensity check for lacking the reinforced major-minor spring in piece root for end contact, and design level, product quality and the service life and vehicle ride performance that end contact lacks the reinforced variable cross-section major-minor spring in piece root can be improved using this method；Meanwhile design and testing expenses can be also reduced, accelerate product development speed.
Description
Technical field
The present invention relates to vehicle suspension leaf spring, especially end contacts to lack the reinforced major-minor spring endpoint power in piece root
Determination method.
Background technology
It, usually will few piece variable-section steel sheet spring in order to meet variation rigidity design requirement of the vehicle suspension under different loads
It is designed as major-minor spring, wherein certain major-minor spring gap is designed between main spring and auxiliary spring contact, it is ensured that when load is more than auxiliary spring
After the load that works, major-minor spring is contacted and is cooperatively worked.Since the stress of the 1st main spring is complicated, it is subjected to vertical load
Lotus, at the same also subject to torsional load and longitudinal loading, therefore, the thickness of the end flat segments of the 1st main spring designed by reality
It is more than the thickness and length of his each main spring with length, i.e., mostly uses the non-few piece variable cross-section major-minor for waiting structures in end；Meanwhile being
The stress intensity for reinforcing few piece parabolic type major-minor spring, usually adds an oblique line between root flat segments and parabolic segment
Section, that is, the few piece major-minor spring for using root reinforced.In addition, due to being wanted for the design for meeting major-minor spring different composite rigidity
It asks, the auxiliary spring of generally use different length, i.e., main spring and the contact position of auxiliary spring are also different, and therefore, major-minor spring can be divided into end
Contact and non-end contact, wherein in auxiliary spring root, flat segments thickness and the piece number are given, end contact major-minor
The complex stiffness of spring is more than the complex stiffness of non-end contact.When the contact of major-minor spring works together, the main spring of m pieces is in addition to receiving end
It except point power, is also acted on by the support force of auxiliary spring contact, causes the deformation of few piece major-minor spring and internal force to calculate extremely complex.
The calculating of few piece major-minor spring endpoint power is the critical issue for restricting few piece major-minor spring design, Rigidity Calculation, stress intensity and checking.
However, due to the non-equal structures of the end flat segments of main spring, root oblique line strengthening segment, major-minor spring length is unequal, deformation of major-minor spring
And internal force analysis calculate it is extremely complex, therefore, the reinforced major-minor spring in piece root is lacked for end contact, previously failed always to
Go out the computational methods of major-minor spring endpoint power.Mostly be at present the influence for ignoring major-minor spring Length discrepancy, each main spring of direct basis and
The rigidity of auxiliary spring carries out approximate calculation to the endpoint power of each main spring and auxiliary spring, it is thus impossible to which meeting end contact lacks piece root
The requirement that the careful design of the reinforced major-minor spring in portion and analysis calculate.Therefore, it is necessary to establish a kind of accurate, reliable end contact
Formula lacks the determination method of the reinforced major-minor spring endpoint power in piece root, meets Vehicle Industry fast development and to few piece parabolic type master
The requirement that auxiliary spring careful design and analysis calculate improves design level, the product quality and performances of few piece parabolic type major-minor spring,
Ensure the design requirement for meeting major-minor spring complex stiffness and stress intensity, improves vehicle ride performance；Meanwhile reduce design and
Product development speed is accelerated in testing expenses.
Invention content
Defect present in for the above-mentioned prior art, technical problem to be solved by the invention is to provide it is a kind of it is easy,
Reliable end contact lacks the determination method of the reinforced major-minor spring endpoint power in piece root, determines flow chart, as shown in Figure 1.
End contact lacks the half structural schematic diagram of the reinforced major-minor spring in piece root, as shown in Fig. 2, including：Main spring 1, root shim
2, each of auxiliary spring 3, end pad 4, main spring 1 and auxiliary spring 3 is by root flat segments, oblique line section, parabolic segment, end flat segments
Four sections of compositions；Between each root flat segments of main spring 1, between each root flat segments of auxiliary spring 3 and main spring 1 and auxiliary spring 3 it
Between, it is equipped with root shim 2, is provided with end pad 4 between each end flat segments of main spring 1, the material of end pad is
Carbon fibre composite generates frictional noise when preventing work.Wherein, the width of main spring 1 and auxiliary spring 3 be b, clipping room away from
Half is l3, the length of elasticity modulus E, oblique line section are Δ l；The half length of main spring is LM, the root of main spring oblique line section to master
The horizontal distance of spring endpoint is l2M, the horizontal distance of end to the main spring endpoint of main spring oblique line section is l2Mp；Main reed number is m, respectively
The thickness of the root flat segments of the main spring of piece is h2M, the thickness of the end flat segments of oblique line section is h2Mp, the thickness ratio γ of oblique line sectionM
=h2Mp/h2M；The non-equal structures of end flat segments of each main spring, i.e., the thickness and length of the end flat segments of the 1st main spring, respectively
More than the thickness and length of the end flat segments of other each main spring；The thickness of the end flat segments of main each leaf spring is h1i, parabolic
The thickness ratio of line segment is βi=h1i/h2Mp, the length of end flat segmentsI=1,2 ..., m.
The half length of auxiliary spring is LA, the horizontal distance of root to the auxiliary spring endpoint of auxiliary spring oblique line section is l2A, auxiliary spring oblique line
The horizontal distance of the end of section to auxiliary spring endpoint is l2Ap；Auxiliary spring the piece number is n, and the thickness of the root flat segments of each auxiliary spring is h2A,
The end thickness of oblique line section is h2Ap, the thickness ratio γ of oblique line sectionA=h2Ap/h2A；The thickness of the end flat segments of each auxiliary spring is
hA1j, the thickness ratio of parabolic segment is βAj=hA1j/h2Ap, the length of end flat segmentsI=1,2 ..., n.
The half length L of auxiliary spring 3ALess than the half length L of main spring 1M, auxiliary spring contact and the horizontal distance of main spring endpoint are
l0；Major-minor spring gap between main spring 1 and auxiliary spring 3 is δ, when load works load more than auxiliary spring, auxiliary spring contact and main spring
Certain point is in contact in the flat segments of end；After major-minor spring end contacts, the endpoint power of each main spring and auxiliary spring is unequal, m
The main spring of piece at major-minor spring contact point by auxiliary spring contact support power in addition to other than by endpoint power, also being acted on.In each main spring and
The structural parameters of auxiliary spring, elasticity modulus and major-minor institute it is loaded it is given in the case of, the reinforced master in piece root is lacked to end contact
Each main spring of auxiliary spring and the endpoint power of auxiliary spring are determined.
In order to solve the above technical problems, end contact provided by the present invention lacks the reinforced major-minor spring endpoint power in piece root
Determination method, it is characterised in that use step identified below：
(1) the endpoint deformation coefficient G of the reinforced main spring in each root under endpoint stressing conditionsx-EiIt calculates：
According to the half length L of the reinforced main spring in few piece rootM, width b, oblique line segment length Δ l, elastic modulus E, main spring
Horizontal distance l of the root of parabolic segment to main spring endpoint2Mp, the horizontal distance l of the root of main spring oblique line section to main spring endpoint2M,
The thickness ratio γ of main spring oblique line sectionM, main reed number m, wherein the thickness ratio β of the parabolic segment of i-th main springi, i=1,2 ...,
M, to the endpoint deformation coefficient G of each main spring under endpoint stressing conditionsx-EiIt is calculated, i.e.,
(2) deformation of the reinforced main spring in m pieces root under endpoint stressing conditions in end flat segments and auxiliary spring contact point
Coefficient Gx-DECalculating：
According to the half length L of the reinforced main spring in few piece rootM, width b, oblique line segment length Δ l, elastic modulus E, main spring
Horizontal distance l of the root of parabolic segment to main spring endpoint2Mp, the horizontal distance l of the root of main spring oblique line section to main spring endpoint2M,
The thickness ratio γ of main spring oblique line sectionM, main reed number m, wherein the thickness ratio β of the parabolic segment of the main spring of m piecesm, auxiliary spring contact with
The horizontal distance l of main spring endpoint0, to the main spring of m pieces under endpoint stressing conditions at end flat segments and auxiliary spring contact point
Deformation coefficient Gx-DEIt is calculated, i.e.,
(3) the endpoint deformation coefficient G of the reinforced main spring in m pieces root under major-minor spring contact point stressing conditionsx-EzmIt calculates：
According to the half length L of the reinforced main spring in few piece rootM, width b, oblique line segment length Δ l, elastic modulus E, main spring
Horizontal distance l of the root of parabolic segment to main spring endpoint2Mp, the horizontal distance l of the root of main spring oblique line section to main spring endpoint2M,
The thickness ratio γ of main spring oblique line sectionM, main reed number m, wherein the thickness ratio β of the parabolic segment of the main spring of m piecesm, auxiliary spring contact with
The horizontal distance l of main spring endpoint0, to the endpoint deformation coefficient G of the main spring of m pieces under major-minor spring contact point stressing conditionsx-EzmInto
Row calculates, i.e.,
(4) deformation of the main spring of m pieces under major-minor spring contact point stressing conditions at end flat segments and auxiliary spring contact point
Coefficient Gx-DEzIt calculates：
According to the half length L of the reinforced main spring in few piece rootM, width b, oblique line segment length Δ l, elastic modulus E, main spring
Horizontal distance l of the root of parabolic segment to main spring endpoint2Mp, the horizontal distance l of the root of main spring oblique line section to main spring endpoint2M,
The thickness ratio γ of main spring oblique line sectionM, main reed number m, wherein the thickness ratio β of the parabolic segment of the main spring of m piecesm, auxiliary spring contact with
The horizontal distance l of main spring endpoint0, the main spring of m pieces under major-minor spring contact point stressing conditions is connect in end flat segments with auxiliary spring
Deformation coefficient G at contactx-DEzIt is calculated, i.e.,
(5) the endpoint deformation coefficient G of each reinforced auxiliary spring in rootx-EAjAnd total endpoint deformation coefficient of n pieces superposition auxiliary spring
Gx-EATIt calculates：
According to the half length L of few reinforced auxiliary spring in piece rootA, width b, the length Δ l of oblique line section, elastic modulus E, pair
Horizontal distance l of the root of spring parabolic segment to auxiliary spring endpoint2Ap, the horizontal distance of the root of auxiliary spring oblique line section to auxiliary spring endpoint
l2A, the thickness ratio γ of auxiliary spring oblique line sectionA, auxiliary spring the piece number n, wherein the thickness ratio β of the parabolic segment of jth piece auxiliary springAj, j=1,
2 ..., n, to the endpoint deformation coefficient G of each auxiliary springx-EAjIt is calculated, i.e.,
According to the auxiliary spring the piece number n and endpoint deformation coefficient G of each reinforced auxiliary spring in rootx-EAj, the total of auxiliary spring is superimposed to n pieces
Endpoint deformation coefficient Gx-EATIt is calculated, i.e.,
(6) end contact lacks the half Rigidity Calculation of each main spring and auxiliary spring of the reinforced major-minor spring in piece root：
I steps：The half stiffness K of each main spring before the contact of major-minor springMiIt calculates：
According to main reed number m, the thickness h of the root flat segments of each main spring2MAnd the G being calculated in step (1)x-Ei,
The half stiffness K of each main spring before being contacted to major-minor springMiIt is calculated, i.e.,
II steps：The half stiffness K of each main spring after the contact of major-minor springMAiIt calculates：
According to main reed number m, the thickness h of the root flat segments of each main spring2M, the thickness of the root flat segments of each auxiliary spring
h2A, the G that is calculated in step (1)x-Ei, the G that is calculated in step (2)x-DE, the G that is calculated in step (3)x-Ezm, step
Suddenly the G being calculated in (4)x-DEzAnd the G being calculated in step (5)x-EAT, to each main spring after the contact of major-minor spring
Half stiffness KMAiIt is calculated, i.e.,
III steps：The half stiffness K of each auxiliary springAjIt calculates：
According to auxiliary spring the piece number n, the thickness h of the root flat segments of each auxiliary spring2AAnd be calculated in step (5)
Gx-EAj, to the half stiffness K of each auxiliary springAjIt is calculated, i.e.,
(7) end contact lacks the determination of each main spring and auxiliary spring endpoint power of the reinforced major-minor spring in piece root：
I steps：Auxiliary spring works load pKCalculating：
According to main reed number m, the thickness h of the root flat segments of each main spring2M, calculate in major-minor spring gap delta and I steps
Obtained KMi, the G that is calculated in step (2)x-DE, work load p to auxiliary springKIt is calculated, i.e.,
Ii steps：The endpoint power P of each main springiDetermination：
Lacked in the reinforced major-minor spring in piece root half loaded, that is, single-ended point load P, i step according to end contact
The P being calculatedK, the K that is calculated in I stepsMiAnd obtained K is calculated in II stepsMAi, to the endpoint power of each main spring
PiIt is determined, i.e.,
Wherein, as P≤PKWhen, PiThe endpoint of each main spring in the case of working not in contact with, i.e., only main spring for main auxiliary spring
Power；Work as P>PKWhen/2, PiFor main auxiliary spring contact, i.e., major-minor spring concur in the case of each main spring endpoint power；
Iii steps：The endpoint power P of each auxiliary springAjDetermination：
Lack the reinforced major-minor spring in piece root half loaded, that is, single-ended point load P, main reed according to end contact
Number m, the thickness h of the root flat segments of each main spring2M, auxiliary spring the piece number n, the thickness h of the root flat segments of each auxiliary spring2A, i steps
The P being calculated in rapidK, the G that is calculated in step (2)x-DE, the G that is calculated in step (4)x-DEzAnd in step (5)
The G being calculatedx-EAT, obtained K is calculated in II stepsMAiAnd the K being calculated in III stepsAj, to each auxiliary spring
Endpoint power PAjIt is determined, i.e.,
The present invention has the advantage that than the prior art
Since the root that end contact lacks the reinforced major-minor spring in piece root is non-etc. with oblique line strengthening segment, end flat segments
Structure, auxiliary spring length and main spring length are unequal, and the main spring of m pieces is in addition to other than by endpoint power, also by auxiliary spring contact support power
Effect, the deformation of major-minor spring and internal force have coupling, cause the analysis of each main spring and auxiliary spring endpoint power to calculate extremely complex, because
This, previously fails always to provide the computational methods that end contact lacks the reinforced major-minor spring endpoint power in piece root.The present invention can root
Lack each main spring of the reinforced major-minor spring in piece root and the structural parameters of auxiliary spring, major-minor spring gap, springform according to end contact
Amount and major-minor spring borne load, lack end contact at the end of each main spring and each auxiliary spring of the reinforced major-minor spring in piece root
Point power is accurately calculated.By example and ANSYS simulating, verifyings it is found that accurate, reliable end can be obtained using this method
Contact lacks the calculated value of each main spring of the reinforced major-minor spring in piece root and the endpoint power of auxiliary spring, for few piece parabolic type major-minor
Spring design, rigidity checking, stress intensity check provide reliable technical foundation.Few piece major-minor spring can be improved using this method
Design level, product quality and performances, it is ensured that meet the design requirement of major-minor spring complex stiffness and stress intensity, improve vehicle row
Sail ride comfort；Meanwhile design and testing expenses can be also reduced, accelerate product development speed.
Description of the drawings
For a better understanding of the present invention, it is described further below in conjunction with the accompanying drawings.
Fig. 1 is the determination flow chart that end contact lacks the reinforced major-minor spring endpoint power in piece root；
Fig. 2 is the half symmetrical structure schematic diagram that end contact lacks the reinforced major-minor spring in piece root；
Fig. 3 is the ANSYS deformation simulation cloud atlas of the 1st main spring of embodiment；
Fig. 4 is the ANSYS deformation simulation cloud atlas of the 2nd main spring of embodiment；
Fig. 5 is the ANSYS deformation simulation cloud atlas of a piece of auxiliary spring of embodiment.
Specific embodiment
Below by embodiment, invention is further described in detail.
Embodiment：Certain end contact lacks the width b=60mm of the reinforced major-minor spring in piece root, clipping room away from half l3
=55mm, the length Δ l=30mm of oblique line section, elastic modulus E=200GPa.Main reed number m=2, the half length L of main springM
=575mm, the horizontal distance l of the root of main spring parabolic segment to main spring endpoint2Mp=LM-l3Δ l=490mm, main spring oblique line section
Root to main spring endpoint horizontal distance l2M=LM-l3=520mm；The root flat segments thickness h of each main spring2M=11mm,
The end thickness h of main spring oblique line section2Mp=10.23mm, the thickness ratio γ of main spring oblique line sectionM=h2Mp/h2M=0.93；1st master
The thickness h of the end flat segments of spring11=7mm, the thickness ratio β of the parabolic segment of the 1st main spring1=h11/h2Mp=0.69；2nd
The thickness h of the end flat segments of main spring12=6mm, the thickness ratio β of the parabolic segment of the 2nd main spring2=h12/h2Mp=0.59.It is secondary
Reed number n=1, the half length L of the piece auxiliary springA=525mm, the horizontal distance l of auxiliary spring contact and main spring endpoint0=LM-LA=
50mm, the horizontal distance l of the root of auxiliary spring parabolic segment to auxiliary spring endpoint2Ap=LA-l3Δ l=440mm, auxiliary spring oblique line section
Horizontal distance l of the root to auxiliary spring endpoint2A=LA-l3=470mm；The thickness h of auxiliary spring root flat segments2A=14mm, auxiliary spring are oblique
The end thickness h of line segment2Ap=13mm, the thickness ratio γ of auxiliary spring oblique line sectionA=h2Ap/h2A=0.93；The end of the piece auxiliary spring is flat
The thickness h of straight sectionA11=8mm, the thickness ratio β of auxiliary spring parabolic segmentA1=hA11/h2Ap=0.62；Major-minor spring gap delta=
47.91mm.In major-minor spring half loaded, that is, single-ended point load P=3040N, piece root is lacked to the end contact
Each main spring of the reinforced major-minor spring in portion and the endpoint power of auxiliary spring are determined.
The end contact that present example is provided lacks the determination method of the reinforced major-minor spring endpoint power in piece root, really
Constant current journey is as shown in Figure 1, specific determine that steps are as follows：
(1) the endpoint deformation coefficient G of the reinforced main spring in each root under endpoint stressing conditionsx-EiIt calculates：
According to the half length L of the reinforced main spring in few piece rootM=575mm, width b=60mm, the length Δ l of oblique line section
=30mm, elastic modulus E=200GPa, the horizontal distance l of the root of main spring parabolic segment to main spring endpoint2Mp=490mm, it is main
Horizontal distance l of the root of spring oblique line section to main spring endpoint2M=520mm, the thickness ratio γ of main spring oblique line sectionM=0.93, main spring
The piece number m=2, wherein the thickness ratio β of the parabolic segment of the 1st main spring1The thickness ratio of the parabolic segment of=0.69, the 2nd main spring
β2=0.59, to the endpoint deformation coefficient G of the 1st main spring and the 2nd main spring under endpoint stressing conditionsx-E1And Gx-E2Respectively into
Row calculates, i.e.,
(2) change of the reinforced main spring in m pieces root under endpoint stressing conditions at end flat segments and auxiliary spring contact point
Shape coefficient Gx-DEIt calculates：
According to the half length L of the reinforced main spring in few piece rootM=575mm, width b=60mm, the length Δ l of oblique line section
=30mm, elastic modulus E=200GPa, the horizontal distance l of the root of main spring parabolic segment to main spring endpoint2Mp=490mm, it is main
Horizontal distance l of the root of spring oblique line section to main spring endpoint2M=520mm, the thickness ratio γ of main spring oblique line sectionM=0.93, main spring
The piece number m=2, wherein the thickness ratio β of the parabolic segment of the 2nd main spring2=0.59, auxiliary spring contact and main spring endpoint it is horizontal away from
From l0=50mm, to deformation coefficient G of the 2nd main spring under endpoint stressing conditions at end flat segments and auxiliary spring contact pointx-DE
It is calculated, i.e.,
(3) the endpoint deformation coefficient G of the reinforced main spring in m pieces root under major-minor spring contact point stressing conditionsx-Ez2It calculates：
According to the half length L of the reinforced main spring in few piece rootM=575mm, width b=60mm, the length Δ l of oblique line section
=30mm, elastic modulus E=200GPa, the horizontal distance l of the root of main spring parabolic segment to main spring endpoint2Mp=490mm, it is main
Horizontal distance l of the root of spring oblique line section to main spring endpoint2M=520mm, the thickness ratio γ of main spring oblique line sectionM=0.93, main spring
The piece number m=2, wherein the thickness ratio β of the parabolic segment of the 2nd main spring2=0.59, auxiliary spring contact and main spring endpoint it is horizontal away from
From l0=50mm, to the endpoint deformation coefficient G of the 2nd main spring under major-minor spring contact point stressing conditionsx-Ez2It is calculated, i.e.,
(4) the reinforced main spring in m pieces root under major-minor spring contact point stressing conditions is contacted in end flat segments with auxiliary spring
Deformation coefficient G at pointx-DEzIt calculates：
According to the half length L of the reinforced main spring in few piece rootM=575mm, width b=60mm, the length Δ l of oblique line section
=30mm, elastic modulus E=200GPa, the horizontal distance l of the root of main spring parabolic segment to main spring endpoint2Mp=490mm, it is main
Horizontal distance l of the root of spring oblique line section to main spring endpoint2M=520mm, the thickness ratio γ of main spring oblique line sectionM=0.93, main spring
The piece number m=2, wherein the thickness ratio β of the parabolic segment of the 2nd main spring2=0.59, auxiliary spring contact and main spring endpoint it is horizontal away from
From l0=50mm, to change of the 2nd main spring under major-minor spring contact point stressing conditions at end flat segments and auxiliary spring contact point
Shape coefficient Gx-DEzIt is calculated, i.e.,
(5) the endpoint deformation coefficient G of each reinforced auxiliary spring in rootx-EAjAnd total endpoint deformation coefficient of n pieces superposition auxiliary spring
Gx-EATIt calculates：
According to the half length L of few reinforced auxiliary spring in piece rootA=525mm, width b=60mm, the length Δ l of oblique line section
=30mm, elastic modulus E=200GPa, the horizontal distance l of the root of auxiliary spring parabolic segment to auxiliary spring endpoint2Ap=440mm, it is secondary
Horizontal distance l of the root of spring oblique line section to auxiliary spring endpoint2A=470mm, the thickness ratio γ of auxiliary spring oblique line sectionA=0.93, auxiliary spring
The piece number n=1, the thickness ratio β of the parabolic segment of the piece auxiliary springA1=0.62, to the endpoint of the piece auxiliary spring under endpoint stressing conditions
Deformation coefficient Gx-EA1It is calculated, i.e.,
According to auxiliary spring the piece number n=1, the endpoint deformation coefficient G of the reinforced auxiliary spring in piece rootx-EA1, auxiliary spring is superimposed to n pieces
Total endpoint deformation coefficient Gx-EATIt calculates
(6) end contact lacks the half Rigidity Calculation of each main spring and auxiliary spring of the reinforced major-minor spring in piece root：
I steps：The half stiffness K of each main spring before the contact of major-minor springMiIt calculates：
According to main reed number m=2, the thickness h of the root flat segments of each main spring2MIt is calculated in=11mm and step (1)
The G arrivedx-E1=107.53mm4/ N and Gx-E2=113.42mm4/ N, can to major-minor spring contact before the 1st main spring and the 2nd
The half stiffness K of main springM1And KM2It is respectively calculated, i.e.,
II steps：The half stiffness K of each main spring after the contact of major-minor springMAiIt calculates：
According to main reed number m=2, the thickness h of the root flat segments of each main spring2MThe root of=11mm, the piece auxiliary spring are flat
The thickness h of straight section2A=14mm, the G being calculated in step (1)x-E1=107.53mm4/ N and Gx-E2=113.42mm4/ N, step
Suddenly the G being calculated in (2)x-DE=94.37mm4/ N, the G being calculated in step (3)x-Ez2=94.37mm4/ N, step (4)
In the G that is calculatedx-DEz=79.78mm4The G being calculated in/N and step (5)x-EAT=98.36mm4/ N, can be to major-minor spring
The half stiffness K of 1st main spring and the 2nd main spring after contactMA1And KMA2It is respectively calculated, i.e.,
III steps：The half stiffness K of each auxiliary springAjIt calculates：
According to auxiliary spring the piece number n=1, the thickness h of the root flat segments of the piece auxiliary spring2AInstitute is calculated in=14mm and step (5)
Obtained Gx-EA1=98.36mm4/ N, to the half stiffness K of the reinforced auxiliary spring in piece rootA1It is calculated, i.e.,
(7) end contact lacks the determination of each main spring and auxiliary spring endpoint power of the reinforced major-minor spring in piece root：
I steps：Auxiliary spring works load pKIt calculates：
According to main reed number m=2, the thickness h of the root flat segments of each main spring2M=11mm, major-minor spring gap delta=
Obtained K is calculated in 47.91mm, I stepM1=12.38N/mm and KM2=11.74N/mm, obtained by the middle calculating of step (2)
Gx-DE=94.37mm4/ N works load p to auxiliary springKIt is calculated, i.e.,
Ii steps：The endpoint power P of each main springiDetermination：
According to the reinforced major-minor spring in few piece root half loaded, that is, single-ended point load P=3040N, main reed number m
The P being calculated in=2, i stepKThe K being calculated in=2777N, I stepM1=12.38N/mm and KM2=11.74N/mm,
And obtained K is calculated in II stepsMA1=12.38N/mm and KMA2=30.55N/mm, to the 1st main spring and the 2nd main spring
Endpoint power P1And P2It is determined, i.e.,
Iii steps：The endpoint power P of each auxiliary springAjDetermination：
According to the reinforced major-minor spring in few piece root half loaded, that is, single-ended point load P=3040N, main reed number m
=2, the thickness h of the root flat segments of each main spring2M=11mm；Auxiliary spring the piece number n=1, the thickness of the root flat segments of the piece auxiliary spring
Spend h2AThe P being calculated in=14mm, i stepK=2777N, the G being calculated in step (2)x-DE=94.37mm4/ N, step
(4) G being calculated inx-DEz=79.78mm4The G being calculated in/N and step (5)x-EAT=98.36mm4/ N, II step
It is middle to calculate obtained KMA1=12.38N/mm and KMA2The K being calculated in=30.55N/mm and III stepsA1=27.90N/
Mm, to the endpoint power P of the piece auxiliary springA1It is calculated, i.e.,
Using ANSYS finite element emulation softwares, each master of the reinforced major-minor spring in piece root is lacked according to the end contact
The structural parameters and material characteristic parameter of spring and auxiliary spring establish the ANSYS simulation models of half symmetrical structure major-minor spring, divide net
Lattice, setting auxiliary spring endpoint are contacted with main spring, and apply fixed constraint in the root of simulation model, are applied in spring endpoint and are concentrated load
Lotus F=P-PK/ 2=1651.5N, the deformation that the reinforced major-minor spring in piece root is lacked to the end contact carry out ANSYS emulation, institute
The ANSYS deformation simulation cloud atlas of the 1st obtained main spring, as shown in Figure 3；The ANSYS deformation simulation cloud atlas of 2nd main spring, such as
Shown in Fig. 4；The ANSYS deformation simulation cloud atlas of 1 auxiliary spring, as shown in Figure 5, wherein the 1st maximum of the main spring at endpoint location
Deflection fMA1The maximum deformation quantity f of=38.25mm, the 2nd main spring at endpoint locationMA2=38.25mm, the 1st auxiliary spring exist
Maximum deformation quantity f at endpoint locationA1=31.34mm.
It is found that in same load, which lacks the 1st and the 2nd of the reinforced major-minor spring in piece root
The ANSYS simulating, verifying values f of main spring and the 1st auxiliary spring maximum distortionMA1=38.25mm, fMA2=38.25mm, fA1=
31.34mm, respectively with deformation analytical Calculation value
It matches, relative deviation is respectively 0.58%, 0.58%, 0.51%；The result shows that the end that the invention is provided
The determination method that contact lacks the reinforced major-minor spring endpoint power in piece root is correct, the end of obtained each main spring and auxiliary spring
Point power is accurate, reliable.
Claims (1)
1. end contact lacks the determination method of the reinforced major-minor spring endpoint power in piece root, wherein end contact lacks piece root
The half symmetrical structure of reinforced main spring and auxiliary spring is by 4 sections of root flat segments, oblique line section, parabolic segment and end flat segments structures
At the end flat segments of each main spring are non-equal structures, i.e., the thickness and length of the end flat segments of the 1st main spring are big respectively
In the thickness and length of the end flat segments of other each main spring；Auxiliary spring length is less than main spring length, when load rises more than auxiliary spring
When used load, auxiliary spring contact is in contact with certain point in the main spring end flat segments of tailpiece；After the contact of major-minor spring, each of major-minor spring
Endpoint stress differ, and the main spring of the tailpiece being in contact with auxiliary spring is in addition to other than by endpoint power, also by the branch of auxiliary spring contact point
Support force；It is given in the structural parameters of each major-minor spring, elasticity modulus, major-minor spring gap and major-minor borne load, it is right
The endpoint power for each main spring and auxiliary spring that end contact lacks the reinforced major-minor spring in piece root is determined, specific to determine step such as
Under：
(1) the endpoint deformation coefficient G of the reinforced main spring in each root under endpoint stressing conditionsx-EiIt calculates：
According to the half length L of the reinforced main spring in few piece rootM, width b, oblique line segment length Δ l, elastic modulus E, main spring parabolic
Horizontal distance l of the root of line segment to main spring endpoint2Mp, the horizontal distance l of the root of main spring oblique line section to main spring endpoint2M, main spring
The thickness ratio γ of oblique line sectionM, main reed number m, wherein the thickness ratio β of the parabolic segment of i-th main springi, i=1,2 ..., m are right
The endpoint deformation coefficient G of each main spring under endpoint stressing conditionsx-EiIt is calculated, i.e.,
(2) deformation coefficient of the reinforced main spring in m pieces root under endpoint stressing conditions in end flat segments and auxiliary spring contact point
Gx-DECalculating：
According to the half length L of the reinforced main spring in few piece rootM, width b, oblique line segment length Δ l, elastic modulus E, main spring parabolic
Horizontal distance l of the root of line segment to main spring endpoint2Mp, the horizontal distance l of the root of main spring oblique line section to main spring endpoint2M, main spring
The thickness ratio γ of oblique line sectionM, main reed number m, wherein the thickness ratio β of the parabolic segment of the main spring of m piecesm, auxiliary spring contact and main spring
The horizontal distance l of endpoint0, to deformation of the main spring of m pieces under endpoint stressing conditions at end flat segments and auxiliary spring contact point
Coefficient Gx-DEIt is calculated, i.e.,
(3) the endpoint deformation coefficient G of the reinforced main spring in m pieces root under major-minor spring contact point stressing conditionsx-EzmIt calculates：
According to the half length L of the reinforced main spring in few piece rootM, width b, oblique line segment length Δ l, elastic modulus E, main spring parabolic
Horizontal distance l of the root of line segment to main spring endpoint2Mp, the horizontal distance l of the root of main spring oblique line section to main spring endpoint2M, main spring
The thickness ratio γ of oblique line sectionM, main reed number m, wherein the thickness ratio β of the parabolic segment of the main spring of m piecesm, auxiliary spring contact and main spring
The horizontal distance l of endpoint0, to the endpoint deformation coefficient G of the main spring of m pieces under major-minor spring contact point stressing conditionsx-EzmIt is counted
It calculates, i.e.,
(4) deformation coefficient of the main spring of m pieces under major-minor spring contact point stressing conditions at end flat segments and auxiliary spring contact point
Gx-DEzIt calculates：
According to the half length L of the reinforced main spring in few piece rootM, width b, oblique line segment length Δ l, elastic modulus E, main spring parabolic
Horizontal distance l of the root of line segment to main spring endpoint2Mp, the horizontal distance l of the root of main spring oblique line section to main spring endpoint2M, main spring
The thickness ratio γ of oblique line sectionM, main reed number m, wherein the thickness ratio β of the parabolic segment of the main spring of m piecesm, auxiliary spring contact and main spring
The horizontal distance l of endpoint0, to the main spring of m pieces under major-minor spring contact point stressing conditions in end flat segments and auxiliary spring contact point
The deformation coefficient G at placex-DEzIt is calculated, i.e.,
(5) the endpoint deformation coefficient G of each reinforced auxiliary spring in rootx-EAjAnd total endpoint deformation coefficient G of n pieces superposition auxiliary springx-EAT
It calculates：
According to the half length L of few reinforced auxiliary spring in piece rootA, width b, the length Δ l of oblique line section, elastic modulus E, auxiliary spring throwing
Horizontal distance l of the root of object line segment to auxiliary spring endpoint2Ap, the horizontal distance l of the root of auxiliary spring oblique line section to auxiliary spring endpoint2A, secondary
The thickness ratio γ of spring oblique line sectionA, auxiliary spring the piece number n, wherein the thickness ratio β of the parabolic segment of jth piece auxiliary springAj, j=1,2 ..., n,
To the endpoint deformation coefficient G of each auxiliary springx-EAjIt is calculated, i.e.,
According to the auxiliary spring the piece number n and endpoint deformation coefficient G of each reinforced auxiliary spring in rootx-EAj, total endpoint of auxiliary spring is superimposed to n pieces
Deformation coefficient Gx-EATIt is calculated, i.e.,
(6) end contact lacks the half Rigidity Calculation of each main spring and auxiliary spring of the reinforced major-minor spring in piece root：
I steps：The half stiffness K of each main spring before the contact of major-minor springMiIt calculates：
According to main reed number m, the thickness h of the root flat segments of each main spring2MAnd the G being calculated in step (1)x-Ei, can be right
The half stiffness K of each main spring before the contact of major-minor springMiIt is calculated, i.e.,
II steps：The half stiffness K of each main spring after the contact of major-minor springMAiIt calculates：
According to main reed number m, the thickness h of the root flat segments of each main spring2M, the thickness h of the root flat segments of each auxiliary spring2A,
The G being calculated in step (1)x-Ei, the G that is calculated in step (2)x-DE, the G that is calculated in step (3)x-Ezm, step
(4) G being calculated inx-DEzAnd the G being calculated in step (5)x-EAT, to one of each main spring after the contact of major-minor spring
Half stiffness KMAiIt is calculated, i.e.,
III steps：The half stiffness K of each auxiliary springAjIt calculates：
According to auxiliary spring the piece number n, the thickness h of the root flat segments of each auxiliary spring2AAnd the G being calculated in step (5)x-EAj, to each
The half stiffness K of piece auxiliary springAjIt is calculated, i.e.,
(7) end contact lacks the determination of each main spring and auxiliary spring endpoint power of the reinforced major-minor spring in piece root：
I steps：Auxiliary spring works load pKCalculating：
According to main reed number m, the thickness h of the root flat segments of each main spring2M, it is calculated in major-minor spring gap delta and I steps
KMi, the G that is calculated in step (2)x-DE, work load p to auxiliary springKIt is calculated, i.e.,
Ii steps：The endpoint power P of each main springiDetermination：
Lacked in the reinforced major-minor spring in piece root half loaded, that is, single-ended point load P, i step according to end contact and is calculated
Obtained PK, the K that is calculated in I stepsMiAnd obtained K is calculated in II stepsMAi, to the endpoint power P of each main springiInto
Row determination, i.e.,
Wherein, as P≤PKWhen, PiThe endpoint power of each main spring in the case of working not in contact with, i.e., only main spring for main auxiliary spring；Work as P
>PKWhen/2, PiFor main auxiliary spring contact, i.e., major-minor spring concur in the case of each main spring endpoint power；
Iii steps：The endpoint power P of each auxiliary springAjDetermination：
Lack the reinforced major-minor spring in piece root half loaded, that is, single-ended point load P, main reed number m according to end contact,
The thickness h of the root flat segments of each main spring2M, auxiliary spring the piece number n, the thickness h of the root flat segments of each auxiliary spring2A, in i steps
The P being calculatedK, the G that is calculated in step (2)x-DE, the G that is calculated in step (4)x-DEzAnd it is calculated in step (5)
Obtained Gx-EAT, obtained K is calculated in II stepsMAiAnd the K being calculated in III stepsAj, to the endpoint of each auxiliary spring
Power PAjIt is determined, i.e.,
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| CN202065393U (en) * | 2011-05-10 | 2011-12-07 | 山东雷帕得弹簧有限公司 | Flat-rolling-lug stiffness-changing steel plate spring of agricultural vehicle |
| CN203146677U (en) * | 2013-03-21 | 2013-08-21 | 湖南易通汽车配件科技发展有限公司 | Variable-cross-section steel plate spring with gradually-changing rigidity |
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| CN202065393U (en) * | 2011-05-10 | 2011-12-07 | 山东雷帕得弹簧有限公司 | Flat-rolling-lug stiffness-changing steel plate spring of agricultural vehicle |
| CN203146677U (en) * | 2013-03-21 | 2013-08-21 | 湖南易通汽车配件科技发展有限公司 | Variable-cross-section steel plate spring with gradually-changing rigidity |
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