CN108256225A - Double simulation calculation methods for strengthening the non-pre- clamping stress of uniform thickness formula changeable section plate spring in root - Google Patents
Double simulation calculation methods for strengthening the non-pre- clamping stress of uniform thickness formula changeable section plate spring in root Download PDFInfo
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Abstract
The present invention relates to double simulation calculation methods for strengthening the non-pre- clamping stress of uniform thickness formula changeable section plate spring in root, belong to suspension and lack piece changeable section plate spring technical field.The present invention can be according to leaf spring the piece number, the structural parameters of each leaf spring and the design value of free tangent line camber, the thickness of elasticity modulus, root and end pad, the pre- clamping stress of each piece leaf spring next to double reinforcement non-uniform thickness formula changeable section plate spring mounting clips in root carry out simulation calculation.By prototype test it is found that double simulation calculation methods for strengthening the non-pre- clamping stress of uniform thickness formula changeable section plate spring in root provided by the present invention are accurate, the simulation calculation value of the accurately and reliably each pre- clamping stress of leaf spring can obtain.It can ensure that double pre- clamping stress for strengthening each next leaf spring of the non-uniform thickness formula changeable section plate spring mounting clip in root meet design requirement using this method, improve design level, reliability and the service life and vehicle safety of product；Meanwhile the design and testing expenses of product are reduced, accelerate product development speed.
Description
Technical field
The present invention relates to vehicle suspensions to lack piece changeable section plate spring, and particularly double reinforcement non-uniform thickness formula changeable section plate springs in root are pre-
The simulation calculation method of clamping stress.
Background technology
With the implementation of vehicle energy saving and lightweight policy, few piece changeable section plate spring is because with light-weight, stock utilization
Height, is increasingly subject to vehicle suspension expert, production enterprise at small without rubbing or rubbing between piece, the advantages that vibration noise is low, and service life is long
Industry and the highest attention of vehicle manufacture enterprise, and be widely applied in vehicle suspension system, wherein, in order to meet head
Piece leaf spring stress complexity and the requirement for strengthening leaf spring intensity, can be used it is double strengthen the non-uniform thickness formula changeable section plate springs in root, i.e., first
The thickness of the root flat segments of leaf spring, more than the thickness of the root flat segments of other each leaf spring, and it is straight in leaf spring root
Increase oblique line section between section and parabolic segment and between parabolic segment and end flat segments, for enhancing leaf spring intensity.Usually
In order to improve the design requirement of leaf spring reliability and service life, by the different free tangent line camber of each leaf spring, in mounting clip
After tight, first leaf spring or former leaf springs is made to generate certain pre- clamping compression, so as to improve leaf spring reliability and use
Service life.For the non-uniform thickness formula changeable section plate spring in double reinforcement roots of given design structure, whether the pre- clamping stress of each leaf spring
Meet design requirement, it is necessary to its simulation calculation.However, according to consulting reference materials it is found that being cut since the non-uniform thickness formula in double reinforcement roots becomes
The calculating that each leaf spring of panel spring clamps rigidity is extremely complex, and is clamped endpoint power in advance by each next leaf spring of mounting clip
The restriction of simulation calculation had not provided double emulation meters for strengthening the non-pre- clamping stress of uniform thickness formula changeable section plate spring in root previously always
Algorithm.With Vehicle Speed and its continuous improvement to ride comfort requirement, few piece parabolic type changeable section plate spring is proposed
Higher requirement, therefore, it is necessary to establish it is a kind of it is accurate, it is reliable it is double strengthen that root non-uniform thickness formula changeable section plate springs clamp in advance should
The simulation calculation method of power, the simulation calculation for each pre- clamping stress of leaf spring provide reliable technical method, to meet vehicle row
Industry fast development, vehicle ride performance and safety and the design requirement of few piece parabolic type changeable section plate spring, improve product
Design level, reliability and service life and vehicle safety；Meanwhile the design and testing expenses of product are reduced, add
Fast product development speed.
Invention content
Defect present in for the above-mentioned prior art, the technical problems to be solved by the invention be to provide it is a kind of it is easy,
Reliable double simulation calculation methods for strengthening the non-pre- clamping stress of uniform thickness formula changeable section plate spring in root, simulation calculation flow process figure, such as
Shown in Fig. 1.Double reinforcement non-uniform thickness formula changeable section plate springs in root are with center mounting hole symmetrical structure, and one hemihedrism clamps knot
Structure schematic diagram is as shown in Fig. 2, including, leaf spring 1, root shim 2, end pad 3.The piece number of leaf spring 1 is n, wherein, 2≤n
≤5；The width of each leaf spring is b, and elasticity modulus E, half action length is LT, be by root flat segments, root oblique line section,
Five sections of parabolic segment, end oblique line section and end flat segments are formed, wherein, root oblique line section and end oblique line section are respectively to plate
Booster action is played in spring root and end, and root flat segments clamp for U-bolts assembling, the root flat segments of each leaf spring
Thickness is unequal, i.e., double reinforcement non-uniform thickness formula changeable section plate springs in root.The half length of the root flat segments of each leaf spring is L0,
The horizontal length of root oblique line section is Δ l1, the horizontal length of end oblique line section is Δ l2, the root to leaf spring end of root oblique line section
The horizontal distance l of point2=LT-L0, the horizontal distance l of the root of parabolic segment to leaf spring endpoint2p=LT-L0-Δl1.Each leaf spring
End flat segments it is non-wait structures, i.e., the uniform thickness and length of the end flat segments of first leaf spring, more than the end of other each leaf spring
The uniform thickness and length of flat segments, to meet the requirement of first leaf spring stress complexity.The thickness of the root flat segments of each leaf spring is
h2i, the root thickness h of parabolic segment2ip, wherein, h2i>h2ip≥h2il2ip/l2；The end thickness h of parabolic segment1ip, end is put down
The thickness of straight section is h1i.The γ of the root oblique line section of each leaf springi=h2ip/h2i, the thickness ratio β of parabolic segmenti=h1i/h2ip,
The μ of end oblique line sectioni=h1i/h1ip.The horizontal length of the end of the parabolic segment of each leaf spring to leaf spring endpoint is l1ip=l2p
βi 2, the length l of end flat segments1i=l1ip-Δl2.Root shim 2, root shim thickness are equipped between the root of each leaf spring
For δc.End pad 3 is equipped between the end of each leaf spring, the thickness of end pad is δe, material is carbon fibre composite,
To reduce frictional noise caused by leaf spring work.The free tangent line camber of each leaf spring is Hgi0, the next first sheet of mounting clip
The initial tangential camber of spring is HgC1, the pre- clamping stress of each leaf spring is σi, i=1,2 ..., n.Pass through the respective of each leaf spring
Different free tangent line camber, it is ensured that first leaf spring initial tangential camber and each pre- clamping stress of leaf spring after the pre- clamping of assembling expire
Sufficient design requirement.According to leaf spring the piece number, the structural parameters of each leaf spring and the design value of free tangent line camber, elasticity modulus, root
Portion and the thickness of end pad, the pre- clamping of each piece leaf spring next to double reinforcement non-uniform thickness formula changeable section plate spring mounting clips in root
Stress carries out simulation calculation.
In order to solve the above technical problems, double reinforcement non-uniform thickness formula changeable section plate springs in root provided by the present invention clamp answer in advance
The simulation calculation method of power, it is characterised in that use following design procedure：
(1) double each leaf springs for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in root clamp stiffness KiCalculating：
Step A：The pinching end point deformation coefficient G of each leaf springx-FiCalculating
According to leaf spring the piece number n, the width b of leaf spring, elastic modulus E, the horizontal length Δ l of end oblique line section1, root oblique line
The horizontal length Δ l of section2；The root of root oblique line section is to the horizontal distance l of leaf spring endpoint2；The root of parabolic segment to leaf spring end
The horizontal distance l of point2p；The thickness h of the root flat segments of each leaf spring2i, the root thickness h of parabolic segment2ip, parabolic segment
End thickness h1ip, the thickness h of end flat segments1i；The thickness ratio γ of the root oblique line section of each leaf springi=h2ip/h2i, parabola
The thickness ratio β of sectioni=h1ip/h2ip, the thickness ratio μ of end oblique line sectioni=h1i/h1ip；The root of the parabolic segment of each leaf spring is arrived
The horizontal distance l of leaf spring endpoint1ip, the length l of the end flat segments of each leaf spring1i, to double reinforcement non-uniform thickness formula parabolas in root
The pinching end point deformation coefficient G of each leaf spring of type changeable section plate springx-FiIt is calculated, i=1,2 ..., n, i.e.,
Step B：The clamping stiffness K of each leaf springiCalculating
According to leaf spring the piece number n, the thickness h of the root flat segments of each leaf spring2i, the G that is calculated in step (1)x-Fi, it is right
The clamping stiffness K of double each leaf springs for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in rootiIt is calculated, i=1,2 ...,
N, i.e.,
(2) double each leaf spring initial tangential camber H for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in rootgCiReally
It is fixed：
I steps：The initial tangential camber H of first leaf springgC1Determine
According to leaf spring the piece number n, root shim thickness δc, end pad thickness δe, the thickness of the root flat segments of preceding n-1 leaf springs
Spend h2i, the thickness h of the end flat segments of preceding n-1 leaf springs1i, the design value H of the free tangent line camber of each leaf springgi0, step (1)
In the K that is calculatedi, i=1,2 ..., n are next to double reinforcement non-uniform thickness formula parabolic type changeable section plate spring mounting clips in root
The initial tangential camber H of first leaf springgC1It is determined, i.e.,
II steps：The initial tangential camber H of other each leaf springgCiDetermine
According to leaf spring the piece number n, root shim thickness δc, end pad thickness δe, the thickness of the root flat segments of preceding n-1 leaf springs
Spend h2i, the thickness h of the end flat segments of preceding n-1 leaf springs1i, simulation calculation obtains in I steps HgC1, non-to double reinforcement roots etc.
The initial tangential camber H of next other each leaf spring in addition to first leaf spring of thick formula parabolic type changeable section plate spring mounting clipgCi
It is determined, i=2,3 ..., n, i.e.,
HgCi=HgC1+(h2+δc)-(h1i-1+δe), i=2,3 ..., n；
(3) double each leaf springs for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in root clamp endpoint power F in advanceiReally
It is fixed：
According to leaf spring the piece number n, the design value H of the free tangent line camber of each leaf springgi0, it is calculated in step (1)
Ki, simulation calculation obtains in step (2) HgCi, the non-uniform thickness formula parabolic type changeable section plate spring assembling in double reinforcement roots is clamped
The pre- clamping endpoint power F of each leaf spring afterwardsiIt is determined, i=1,2 ..., n, i.e.,
(4) double pre- clamping stress σ of each leaf spring for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in rootiEmulation meter
It calculates：
According to leaf spring the piece number n, the width b, the root thickness h of each leaf spring of leaf spring2i, the root of root oblique line section to main spring
The horizontal distance l of endpoint2, the F that determines in step (3)i, it is non-to double reinforcement ends that structures formula is waited to lack piece parabolic type variable cross-section
The pre- clamping stress σ of each next leaf spring of leaf spring mounting clipiProgress simulation calculation, i=1,2 ..., n, i.e.,
The present invention has the advantage that than the prior art
For double reinforcement non-uniform thickness formula parabolic type changeable section plate springs in root, do not provided always previously accurately and reliably double
Strengthen the simulation calculation method of the non-pre- clamping stress of uniform thickness formula changeable section plate spring in root, it is impossible to meet vehicle fast development and to suspension
The requirement of few piece changeable section plate spring modernization CAD design.The present invention can according to leaf spring the piece number, the structural parameters of each leaf spring and from
By the design value of tangent line camber, elasticity modulus, the thickness of root and end pad, to double reinforcement non-uniform thickness formula board of variable section in root
The pre- clamping stress of each next leaf spring of spring mounting clip carries out simulation calculation.It is tested by prototype test it is found that institute of the present invention
The simulation calculation method of the non-pre- clamping stress of uniform thickness formula changeable section plate spring in double reinforcement roots provided is correct, can obtain and accurately may be used
The simulation calculation value of each pre- clamping stress of leaf spring leaned on strengthens the non-uniform thickness formula parabolic type changeable section plate spring assembling in root to be double
The simulation calculation of each pre- clamping stress of leaf spring after clamping provides reliable technical method.Assembling is can ensure that using this method
The pre- clamping stress of each leaf spring after clamping meets design requirement, improves design level, reliability and the service life of product
And vehicle safety；Meanwhile the design and testing expenses of product are 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 double simulation calculation flow process figures for strengthening the non-pre- clamping stress of uniform thickness formula changeable section plate spring in root；
Fig. 2 is double half clamping structure schematic diagrames for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in root.
Specific embodiment
The present invention is described in further detail below by embodiment.
Embodiment one：Certain double width b=60mm for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in root, half effect
Length LT=575mm, elastic modulus E=200GPa, the half length L for the root flat segments that U-bolts clamps0=50mm, end
The horizontal length Δ l of portion's oblique line section1=30mm, the horizontal length Δ l of root oblique line section2=40mm, the root of root oblique line section are arrived
The horizontal distance l of leaf spring endpoint2=LT-L0=525mm.The root of parabolic segment is to the horizontal distance l of leaf spring endpoint2p=l2-Δ
l2=495mm.Leaf spring the piece number n=3, the thickness h of the root flat segments of each leaf spring21=18.5mm, h22=18mm, h23=
17.5mm；The root thickness h of parabolic segment21p=17.5mm, h22p=17mm, h23p=16.5mm, the end thickness of parabolic segment
h11p=8mm, h12p=7mm, h13p=6mm, end flat segments thickness h11=9mm, h12=8mm, h13=7mm.Each leaf spring
The thickness ratio γ of root oblique line section1=h21p/h21=0.9459, γ2=h22p/h22=0.9444, γ3=h23p/h23=
0.9429；The thickness ratio μ of end oblique line section1=h11/h11p=1.125, μ2=h12/h12p=1.1429, μ3=h13/h13p=
1.1667；The thickness ratio β of parabolic segment1=h11p/h21p=0.4571, β2=h12p/h22p=0.4118, β3=h13p/h23p=
0.3636.The end of the parabolic segment of each leaf spring is to the horizontal distance l of leaf spring endpoint11p=l2β1 2=109.7mm, l12p=l2
β2 2=89mm, l13p=l2β3 2=69.4mm；The length l of the end flat segments of each leaf spring11=l11p-Δl1=79.7mm, l12
=l12p-Δl1=59mm, l13=l13p-Δl1=39.4mm.The design value H of the free tangent line camber of each leaf springg10=
91.3mm Hg20=101.5mm, Hg30=106.5mm.Root shim thickness δc=3mm, end pad thickness δe=6mm.According to
The thickness of leaf spring the piece number, the structural parameters of each leaf spring and the design value of free tangent line camber, elasticity modulus, root and end pad
Degree, the pre- clamping stress for strengthening this pair each next leaf spring of the non-uniform thickness formula changeable section plate spring mounting clip in root carry out emulation meter
It calculates.
The simulation calculation method of the non-pre- clamping stress of uniform thickness formula changeable section plate spring in double reinforcement roots that present example is provided,
Its simulation calculation flow process is as shown in Figure 1, specific simulation calculation step is as follows：
(1) double each leaf springs for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in root clamp stiffness KiCalculating：
Step A：The pinching end point deformation coefficient G of each leaf springx-FiCalculating
According to leaf spring the piece number n=3, the width b=60mm of leaf spring, elastic modulus E=200GPa, the level of end oblique line section
Length Δ l1=30mm, the horizontal length Δ l of root oblique line section2=40mm, the level of the root of root oblique line section to leaf spring endpoint
Distance l2=525mm；The root of parabolic segment is to the horizontal distance l of leaf spring endpoint2p=495mm.The root oblique line of each leaf spring
The thickness ratio γ of section1=0.9459, γ2=0.9444, γ3=0.9429；The thickness ratio μ of end oblique line section1=1.125, μ2=
1.1429 μ3=1.1667；The thickness ratio β of parabolic segment1=0.4571, β2=0.4118, β3=0.3636.Each leaf spring
The end of parabolic segment is to the horizontal distance l of leaf spring endpoint11p=109.7mm, l12p=89mm, l13p=69.4mm；Each leaf spring
End flat segments length l11=79.7mm, l12=59mm, l13=39.4mm.The non-uniform thickness formula parabolic in root is strengthened to this pair
The pinching end point deformation coefficient G of each leaf spring of line style changeable section plate springx-FiIt is calculated, i=1,2,3, i.e.,
Step B：The clamping stiffness K of each leaf springiCalculating
According to leaf spring the piece number n=3, the thickness h of the root flat segments of each leaf spring21=18.5mm, h22=18mm, h23=
17.5mm, the G being calculated in step (1)x-F1=95.595mm4/ N, Gx-F2=97.45mm4/ N, Gx-F3=99.146mm4/ N,
Strengthen this pair the clamping stiffness K of each leaf spring of the non-uniform thickness formula parabolic type changeable section plate spring in rootiIt is calculated, i=1,
2,3, i.e.,
(2) double each leaf spring initial tangential camber H for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in rootgCiReally
It is fixed：
I steps：First leaf spring initial tangential camber HgC1Determine
According to leaf spring the piece number n=3, root shim thickness δc=3mm, end pad thickness δe=6mm, each leaf spring from
By the design value H of tangent line camberg10=91.3mm, Hg20=101.5mm, Hg30=106.5mm, the root flat segments of preceding 2 leaf springs
Thickness h21=18.5mm, h22=18mm, the thickness h of the end flat segments of preceding 2 leaf springs11=9mm, h12=8mm, step (1)
In the K that is calculated1=132.47N/mm, K2=119.69N/mm, K3=108.11N/mm strengthens the non-uniform thickness in root to this pair
The initial tangential camber H of first next leaf spring of formula parabolic type changeable section plate spring mounting clipgC1It is determined, i.e.,
II steps：The initial tangential camber H of other each leaf springgCiDetermine
According to leaf spring the piece number n=3, root shim thickness δc=3mm, end pad thickness δe=6mm, the root of preceding 2 leaf springs
The thickness h of portion's flat segments21=18.5mm, h22=18mm, the thickness h of the end flat segments of preceding 2 leaf springs11=9mm, h12=
The H determined in 8mm, I stepgC1=95mm strengthens the non-uniform thickness formula parabolic type changeable section plate spring mounting clip in root to this pair
The initial tangential camber H of next other each leaf spring in addition to first leaf springgCiIt is determined, i=2,3, i.e.,
HgC2=HgC1+(h2+δc)-(h11+δe)=101.5mm,
HgC3=HgC1+(h2+δc)-(h12+δe)=102mm.
(3) double each leaf springs for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in root clamp endpoint power F in advanceiReally
It is fixed：
According to leaf spring the piece number n=3, the design value H of the free tangent line camber of each leaf springg10=91.3mm, Hg20=
101.5mm, Hg30=106.5mm, the K being calculated in step (1)1=132.47N/mm, K2=119.69N/mm, K3=
108.11N/mm, the H determined in step (2)gC1=95mm, HgC2=101.5mm, HgC3=102mm, to double enhancing roots
The pre- clamping endpoint power F of each next leaf spring of the mounting clip of the non-uniform thickness formula parabolic type changeable section plate spring in portioniCarry out emulation meter
It calculates, i=1,2,3, i.e.,
(4) double pre- clamping stress σ of each leaf spring for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in rootiEmulation meter
It calculates：
According to leaf spring the piece number n=3, the width b=60mm of leaf spring, the root of root oblique line section to leaf spring endpoint it is horizontal away from
From l2=525mm, the thickness h of the root flat segments of each leaf spring21=18.5mm, h22=18mm, h23=17.5mm, step (3)
In the F that determines1=-241.96N, F2=0N, F3=241.96N is non-to this pair reinforcement end that structures formula is waited to lack piece parabolic type
The pre- clamping stress of each next leaf spring of changeable section plate spring mounting clip carries out simulation calculation, i.e.,
By prototype test test it is found that double non-uniform thickness formula changeable section plate springs in root of strengthening provided by the present invention clamp in advance
The simulation calculation method of stress is correct, can obtain the simulation calculation value of the accurately and reliably each pre- clamping stress of leaf spring.
Embodiment two：Certain double width b=60mm for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in root, half effect
Length LT=575mm, elastic modulus E=200GPa, the half length L for the root flat segments that U-bolts clamps0=50mm, end
The horizontal length Δ l of portion's oblique line section1=30mm, the horizontal length Δ l of root oblique line section2=40mm, the root of root oblique line section are arrived
The horizontal distance l of leaf spring endpoint2=LT-L0=525mm, the horizontal distance l of the root of parabolic segment to leaf spring endpoint2p=l2-Δ
l2=495mm.Leaf spring the piece number n=4, the thickness h of the root flat segments of each leaf spring21=17mm, h22=16.5mm, h23=
16mm, h24=16mm；The root thickness h of parabolic segment21p=16mm, h22p=15.5mm, h23p=15mm, h24p=15mm；It throws
The end thickness h of object line segment11p=7mm, h12p=6mm, h13p=5mm, h14p=5mm；End flat segments thickness h11=8mm, h12
=7mm, h13=6mm, h14=6mm.The thickness ratio γ of the root oblique line section of each leaf spring1=h21p/h21=0.9412, γ2=
h22p/h22=0.9394, γ3=h23p/h23=0.9375, γ4=h24p/h24=0.9375；The thickness ratio μ of end oblique line section1=
h11/h11p=1.1429, μ2=h12/h12p=1.1667, μ3=h13/h13p=1.2, μ4=h14/h14p=1.2；Parabolic segment
Thickness ratio β1=h11p/h21p=0.4375, β2=h12p/h22p=0.3871, β3=h13p/h23p=0.3333, β4=h14p/h24p
=0.3333.The end of the parabolic segment of each leaf spring is to the horizontal distance l of leaf spring endpoint11p=l2β1 2=100.5mm, l12p=
l2β2 2=78.7mm, l13p=l2β3 2=58.3mm, l14p=l2β4 2=58.3mm；The length l of the end flat segments of each leaf spring11
=l11p-Δl1=70.5mm, l12=l12p-Δl1=48.7mm, l13=l13p-Δl1=28.3mm, l14=l14p-Δl1=
28.3mm.The design value H of the free tangent line camber of each leaf springg10=86.9mm, Hg20=94.9mm, Hg30=97.8mm, Hg40
=100.8mm.Root shim thickness δc=3mm, end pad thickness δe=6mm.According to leaf spring the piece number, the structure of each leaf spring
The thickness of the design value of parameter and free tangent line camber, elasticity modulus, root and end pad strengthens the non-uniform thickness in root to this pair
The pre- clamping stress of each next leaf spring of formula changeable section plate spring mounting clip carries out simulation calculation.
Using the emulated computation method and step identical with embodiment one, the non-uniform thickness formula parabolic type in root is strengthened to this pair
The pre- clamping stress of each leaf spring of changeable section plate spring carries out simulation calculation, and specific simulation calculation step is as follows：
(1) double each leaf springs for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in root clamp stiffness KiCalculating：
Step A：The pinching end point deformation coefficient G of each leaf springx-FCalculating
According to leaf spring the piece number n=4, the width b=60mm of leaf spring, elastic modulus E=200GPa, the level of end oblique line section
Length Δ l1=30mm, the horizontal length Δ l of root oblique line section2=40mm.The root of root oblique line section is to the level of leaf spring endpoint
Distance l2=525mm；The root of parabolic segment is to the horizontal distance l of leaf spring endpoint2p=495mm.The root oblique line of each leaf spring
The thickness ratio γ of section1=0.9412, γ2=0.9394, γ3=0.9375, γ4=0.9375；The thickness ratio μ of end oblique line section1
=1.1429, μ2=1.1667, μ3=1.2, μ4=1.2；The thickness ratio β of parabolic segment1=0.4375, β2=0.3871, β3=
0.3333, β4=0.3333.The end of the parabolic segment of each leaf spring is to the horizontal distance l of leaf spring endpoint11p=100.5mm,
l12p=78.7mm, l13p=58.3mm, l14p=58.3mm；The length l of the end flat segments of each leaf spring11=70.5mm, l12
=48.7mm, l13=28.3mm, l14=28.3mm.The each of the non-uniform thickness formula parabolic type changeable section plate spring in root is strengthened to this pair
The pinching end point deformation coefficient G of piece leaf springx-FiIt is calculated, i=1,2 ..., n, i.e.,
Step B：The clamping stiffness K of each leaf springiCalculating
According to leaf spring the piece number n=4, the thickness h of the root flat segments of each leaf spring21=17mm, h22=16.5mm, h23=
16mm, h24=16mm, the G being calculated in step (1)x-F1=97.562mm4/ N, Gx-F2=99.568mm4/ N, Gx-F3=
101.37mm4/ N, Gx-F4=101.37mm4/ N strengthens this pair each sheet of the non-uniform thickness formula parabolic type changeable section plate spring in root
The clamping stiffness K of springiIt is calculated, i=1,2 ..., n, i.e.,
(2) double each leaf spring initial tangential camber H for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in rootgCiReally
It is fixed：
I steps：The initial tangential camber H of first leaf springgC1Imitative determine
According to leaf spring the piece number n=4, root shim thickness δc=3mm, end pad thickness δe=6mm, each leaf spring from
By the design value H of tangent line camberg10=86.9mm, Hg20=94.9mm, Hg30=97.8mm, Hg40=100.8mm, preceding 3 leaf springs
Root flat segments thickness h21=17mm, h22=16.5mm, h23=16mm, the thickness h of the end flat segments of preceding 3 leaf springs11
=8mm, h12=7mm, h13=6mm, the K being calculated in step (1)1=100.72N/mm, K2=90.233N/mm, K3=
80.809N/mm K4It is next to strengthen the non-uniform thickness formula parabolic type changeable section plate spring mounting clip in root to this pair by=80.819N/mm
First leaf spring initial tangential camber HgC1It is determined, i.e.,
II steps：The initial tangential camber H of other each leaf springgCiDetermine
According to leaf spring the piece number n=4, root shim thickness δc=3mm, end pad thickness δe=6mm, the root of preceding 3 leaf springs
The thickness h of portion's flat segments21=17mm, h22=16.5mm, h23=16mm, the thickness h of the end flat segments of preceding 3 leaf springs11=
8mm, h12=7mm, h13The H determined in=6mm, I stepgC1=90mm strengthens the non-uniform thickness formula parabola in root to this pair
The initial tangential camber H of next other each leaf spring in addition to first leaf spring of type changeable section plate spring mounting clipgCiIt is determined, i
=2,3,4, i.e.,
HgC2=HgC1+(h2+δc)-(h11+δe)=96mm,
HgC3=HgC1+(h2+δc)-(h12+δe)=96.5mm,
HgC4=HgC1+(h2+δc)-(h13+δe)=97mm.
(3) double each leaf springs for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in root clamp endpoint power F in advanceiReally
It is fixed：
According to leaf spring the piece number n=4, the design value H of the free tangent line camber of each leaf springg10=86.9mm, Hg20=
94.9mm Hg30=97.8mm, Hg40=100.8mm, the K being calculated in step (1)1=100.72N/mm, K2=90.233N/
Mm, K3=80.809N/mm, K4=80.819N/mm, the H determined in step (2)gC1=90mm, HgC2=96mm, HgC3=
96.5mm HgC3=97mm strengthens this pair each next leaf spring of the non-uniform thickness formula parabolic type changeable section plate spring mounting clip in root
Pre- clamping endpoint power FiProgress simulation calculation, i=1,2 ..., n, i.e.,
(4) double pre- clamping stress σ of each leaf spring for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in rootiEmulation meter
It calculates：
According to leaf spring the piece number n=4, the width b=60mm of leaf spring, the thickness h of the root horizontal segment of each leaf spring21=
17mm, h22=16.5mm, h23=16mm, h24=16mm, the horizontal distance l of the root of root oblique line section to leaf spring endpoint2=
525mm, the F obtained in step (3)1=-154.81N, F2=-51.60N, F3=51.60N, F4=154.81N adds this pair
The non-pre- clamping stress σ that structures formula is waited to lack each next leaf spring of piece parabolic type changeable section plate spring mounting clip in strong endiIt is imitated
It is true to calculate, i=1,2 ..., n, i.e.,
By prototype test test it is found that double non-uniform thickness formula changeable section plate springs in root of strengthening provided by the present invention clamp in advance
The simulation calculation method of stress is correct, can obtain the simulation calculation value of the accurately and reliably each pre- clamping stress of leaf spring, is double
The simulation calculation for strengthening each next pre- clamping stress of leaf spring of the non-uniform thickness formula parabolic type changeable section plate spring mounting clip in root carries
Reliable technical method is supplied.It can ensure that the pre- clamping stress of each next leaf spring of mounting clip meets design and wants using this method
It asks, improves design level, reliability and the service life and vehicle safety of product；Meanwhile reduce product design and
Product development speed is accelerated in testing expenses.
Claims (1)
1. the simulation calculation method of pair reinforcement non-pre- clamping stress of uniform thickness formula changeable section plate spring in root, wherein, the half of each leaf spring
Action length is made of five sections of root flat segments, root oblique line section, parabolic segment, end oblique line section and end flat segments, root
Portion's flat segments clamp for U-bolts assembling, and the thickness of the root flat segments of each leaf spring is unequal, root oblique line section and end
Portion's oblique line section plays booster action to leaf spring root and end respectively, i.e., double reinforcement non-uniform thickness formulas in root lack piece parabolic type variable cross-section
Leaf spring；For each leaf spring of given design structural parameters and free tangent line camber, the pre- folder of each next leaf spring of mounting clip
Tight stress must satisfy design requirement；According to leaf spring the piece number, the structural parameters of each leaf spring and the design value of free tangent line camber,
The thickness of elasticity modulus, root and end pad lacks the assembling of piece parabolic type changeable section plate spring to double reinforcement non-uniform thickness formulas in root
The pre- clamping stress of each leaf spring after clamping carries out simulation calculation, and specific simulation calculation step is as follows：
(1) double each leaf springs for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in root clamp stiffness KiCalculating：
Step A：The pinching end point deformation coefficient G of each leaf springx-FiCalculating
According to leaf spring the piece number n, the width b of leaf spring, elastic modulus E, the horizontal length Δ l of end oblique line section1, root oblique line section
Horizontal length Δ l2；The root of root oblique line section is to the horizontal distance l of leaf spring endpoint2；The root of parabolic segment is to leaf spring endpoint
Horizontal distance l2p；The thickness h of the root flat segments of each leaf spring2i, the root thickness h of parabolic segment2ip, the end of parabolic segment
Thickness h1ip, the thickness h of end flat segments1i；The thickness ratio γ of the root oblique line section of each leaf springi=h2ip/h2i, parabolic segment
Thickness ratio βi=h1ip/h2ip, the thickness ratio μ of end oblique line sectioni=h1i/h1ip；The root of the parabolic segment of each leaf spring is to leaf spring
The horizontal distance l of endpoint1ip, the length l of the end flat segments of each leaf spring1i, the non-uniform thickness formula parabolic type in double reinforcement roots is become
The pinching end point deformation coefficient G of each leaf spring of taper leaf springx-FiIt is calculated, i=1,2 ..., n, i.e.,
Step B：The clamping stiffness K of each leaf springiCalculating
According to leaf spring the piece number n, the thickness h of the root flat segments of each leaf spring2i, the G that is calculated in step (1)x-Fi, add to double
The clamping stiffness K of each leaf spring of the non-uniform thickness formula parabolic type changeable section plate spring in strong rootiIt is calculated, i=1,2 ..., n, i.e.,
(2) double each leaf spring initial tangential camber H for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in rootgCiDetermine：
I steps：The initial tangential camber H of first leaf springgC1Determine
According to leaf spring the piece number n, root shim thickness δc, end pad thickness δe, the thickness h of the root flat segments of preceding n-1 leaf springs2i,
The thickness h of the end flat segments of preceding n-1 leaf springs1i, the design value H of the free tangent line camber of each leaf springgi0, step (1) is middle to be calculated
Obtained Ki, i=1,2 ..., n, the first sheet next to double reinforcement non-uniform thickness formula parabolic type changeable section plate spring mounting clips in root
The initial tangential camber H of springgC1It is determined, i.e.,
II steps：The initial tangential camber H of other each leaf springgCiDetermine
According to leaf spring the piece number n, root shim thickness δc, end pad thickness δe, the thickness h of the root flat segments of preceding n-1 leaf springs2i,
The thickness h of the end flat segments of preceding n-1 leaf springs1i, simulation calculation obtains in I steps HgC1, the non-uniform thickness formula in double reinforcement roots is thrown
The initial tangential camber H of next other each leaf spring in addition to first leaf spring of object line style changeable section plate spring mounting clipgCiIt carries out true
It is fixed, i=2,3 ..., n, i.e.,
HgCi=HgC1+(h2+δc)-(h1i-1+δe), i=2,3 ..., n；
(3) double each leaf springs for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in root clamp endpoint power F in advanceiDetermine：
According to leaf spring the piece number n, the design value H of the free tangent line camber of each leaf springgi0, the K that is calculated in step (1)i, step
(2) H that simulation calculation obtains ingCi, to next each of double reinforcement non-uniform thickness formula parabolic type changeable section plate spring mounting clips in root
The pre- clamping endpoint power F of leaf springiIt is determined, i=1,2 ..., n, i.e.,
(4) double pre- clamping stress σ of each leaf spring for strengthening the non-uniform thickness formula parabolic type changeable section plate spring in rootiSimulation calculation：
According to leaf spring the piece number n, the width b, the root thickness h of each leaf spring of leaf spring2i, the root of root oblique line section to main spring endpoint
Horizontal distance l2, the F that determines in step (3)i, it is non-to double reinforcement ends that structures formula is waited to lack piece parabolic type changeable section plate spring
The pre- clamping stress σ of each next leaf spring of mounting clipiProgress simulation calculation, i=1,2 ..., n, i.e.,
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