CN108256226A - Strengthen non-uniform thickness and lack the simulation calculation method that piece changeable section plate spring clamps endpoint power in root - Google Patents

Strengthen non-uniform thickness and lack the simulation calculation method that piece changeable section plate spring clamps endpoint power in root Download PDF

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CN108256226A
CN108256226A CN201810051132.5A CN201810051132A CN108256226A CN 108256226 A CN108256226 A CN 108256226A CN 201810051132 A CN201810051132 A CN 201810051132A CN 108256226 A CN108256226 A CN 108256226A
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leaf spring
root
thickness
piece
section plate
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周长城
于曰伟
李晓晗
毛少坊
赵雷雷
汪晓
杨腾飞
杨铖兆
梁宇通
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Shandong University of Technology
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/15Vehicle, aircraft or watercraft design
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/17Mechanical parametric or variational design
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/06Power analysis or power optimisation

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Abstract

The present invention relates to the simulation calculation methods that the root non-uniform thickness of reinforcement lacks piece changeable section plate spring clamping endpoint power, 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 strengthens root the clamping endpoint power progress simulation calculation that non-uniform thickness lacks each next leaf spring of piece parabolic type changeable section plate spring mounting clip.Pass through prototype test, the simulation calculation method that the non-uniform thickness of root reinforcement provided by the present invention lacks piece changeable section plate spring clamping endpoint power is accurate, the simulation calculation value of available accurately and reliably each leaf spring pinching end point power, the simulation calculation for lacking the pre- clamping stress of piece changeable section plate spring for the root non-uniform thickness formula of reinforcement have established reliable technical foundation.The design level of product and reliability and vehicle safety can be improved using this method;Meanwhile reduce the design and testing expenses of product, Speeding up development speed.

Description

Strengthen non-uniform thickness and lack the simulation calculation method that piece changeable section plate spring clamps endpoint power in root
Technical field
The present invention relates to vehicle suspensions to lack piece changeable section plate spring, and the particularly non-uniform thickness of root reinforcement lacks piece changeable section plate spring folder The simulation calculation method of tight endpoint power.
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 stressing conditions are complicated and increase the requirement of leaf spring intensity, and the root flat segments and end flat segments of first leaf spring can be used Thickness be more than other each leaf spring thickness, and between root flat segments and parabolic segment increase oblique line section, to leaf spring Root play booster action, i.e. non-uniform thickness parabolic type changeable section plate spring is strengthened in root.In order to improve leaf spring reliability and use The design requirement in service life after assembling clamps, can make first leaf spring or former by the different free tangent line camber of each leaf spring Piece leaf spring generates certain pre- clamping compression, so as to improve leaf spring reliability and service life, meanwhile, the next head of mounting clip Piece leaf spring initial tangential camber, meets leaf spring design requirement.For each leaf spring of given design structure, next each of mounting clip Whether the pre- clamping stress of piece leaf spring meets design requirement, it is necessary to its simulation calculation, wherein, the clamping endpoint power of each leaf spring Simulation calculation, be each pre- clamping stress simulation calculation premise, therefore, it is necessary to each next to mounting clip first leaf spring Clamping endpoint power emulated.However, according to consulting reference materials it is found that since non-uniform thickness parabolic type changeable section plate spring is strengthened in root Each leaf spring clamp rigidity calculating it is extremely complex, and the free tangent line camber by each leaf spring and initial tangential camber, folder Tight rigidity and the restriction for clamping relationship between endpoint power had not provided the accurately and reliably non-uniform thickness of root reinforcement previously and have lacked piece always Changeable section plate spring clamps the simulation calculation method of endpoint power.With Vehicle Speed and its to ride comfort requirement continuous improvement, Higher requirement is proposed to few piece changeable section plate spring, one kind is accurate, the non-uniform thickness formula of reliable portion's reinforcement is few therefore, it is necessary to establish Piece changeable section plate spring clamps the simulation calculation method of endpoint power, and the simulation calculation for each pre- clamping stress of leaf spring establishes reliable skill Art basis, meets fast-developing Vehicle Industry, vehicle ride performance and safety and root is strengthened non-uniform thickness parabolic type and become The design requirement of taper leaf spring improves horizontal product design, reliability and service life and vehicle safety;Meanwhile it drops Product development speed is accelerated in the design and testing expenses of low product.
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, Strengthen the design method that non-uniform thickness lacks the free tangent line camber of piece parabolic type changeable section plate spring, design cycle in reliable root Figure, as shown in Figure 1.Root strengthens non-uniform thickness and lack piece parabolic type changeable section plate spring for center mounting hole symmetrical structure, One hemihedrism clamping structure schematic diagram is as shown in Fig. 2, including, leaf spring 1, root shim 2, end pad 3.The piece of leaf spring 1 Number is n, and each plate spring structure is identical, wherein, 2≤n≤5;The width of each leaf spring is b, elasticity modulus E, and half, which acts on, to be grown It spends for LT, it is to be made of four sections of root flat segments, oblique line section, parabolic segment and end flat segments, wherein, root flat segments are used It assembles and clamps in U-bolts, oblique line section plays leaf spring root booster action, the thickness of the root flat segments of each leaf spring not phase Deng i.e. root strengthens non-uniform thickness and lacks piece parabolic type changeable section plate spring.The half length L of root flat segments0, the level of oblique line section Length is Δ l, the horizontal distance l of the root of oblique line section to leaf spring endpoint2=LT-L0, the root of parabolic segment to leaf spring endpoint Horizontal distance l2p=LT-L0-Δl.The thickness of the root flat segments of each leaf spring is h2i, the root thickness of the parabolic segment of piece leaf spring It spends for h2ip, wherein, h2i>h2ip≥h2l2p/l2, the straight thickness in end of each leaf spring is h1i, each leaf spring end flat segments are non- Wait structures, i.e., the thickness and length of the end flat segments of first leaf spring, the thickness and length of end flat segments of each more than other. The thickness ratio γ of the oblique line section of each leaf springi=h2ip/h2i, the thickness ratio β of parabolic segmenti=h1i/h2ip.The end of each leaf spring The length of flat segments is l1i=l2pβi 2.Root shim 2 is equipped between the root of each leaf spring, root shim thickness is δc.Each End pad 3 is equipped between the end of leaf spring, the thickness of end pad is δe, material is carbon fibre composite, to reduce plate Frictional noise caused by spring work.The free tangent line camber of each leaf spring is Hgi0, first next leaf spring of mounting clip initially cut The a height of H of bankgC1, the pre- clamping stress of each leaf spring is σi, i=1,2 ..., n.It is freely cut by the respective difference of each leaf spring Bank is high, it is ensured that first leaf spring initial tangential camber and the pre- clamping stress of each leaf spring after the pre- clamping of assembling meet design will It asks.The simulation calculation of each leaf spring pinching end point power is the premise of the pre- clamping stress simulation calculation of each leaf spring.According to plate spring sheet The thickness of number, the structural parameters of each leaf spring and free tangent line camber, elasticity modulus, root and end pad, to root reinforcement The clamping endpoint power that non-uniform thickness lacks each next leaf spring of piece parabolic type changeable section plate spring mounting clip carries out simulation calculation, is each The simulation calculation of the pre- clamping stress of piece leaf spring establishes reliable technical foundation.
In order to solve the above technical problems, non-uniform thickness is strengthened in root provided by the present invention lacks piece changeable section plate spring clamping endpoint The simulation calculation method of power, it is characterised in that use following simulation calculation step:
(1) each leaf spring clamping stiffness K of non-uniform thickness parabolic type changeable section plate spring is strengthened in rootiIt calculates:
Step A:The gripping end deformation coefficient G of each leaf springx-EiCalculating
According to leaf spring the piece number n, the width b of leaf spring, the horizontal length Δ l of oblique line section, the root of oblique line section to leaf spring endpoint Horizontal distance l2, the horizontal distance l of the root of parabolic segment to leaf spring endpoint2p, elastic modulus E;It puts down the root of each leaf spring The thickness h of straight section2i, the root thickness h of parabolic segment2ip, the thickness h of end flat segments1i;The thickness of the oblique line section of each leaf spring Compare γi=h2ip/h2i, the thickness ratio β of parabolic segmenti=h1i/h2ip, non-uniform thickness is strengthened to root and lacks piece parabolic type board of variable section The pinching end point deformation coefficient G of each leaf spring of springx-EiIt 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-Ei, it is right Strengthen the clamping stiffness K that non-uniform thickness lacks each leaf spring of piece parabolic type changeable section plate spring in rootiIt is calculated, i=1,2 ... N, i.e.,
(2) first initial tangential camber H of non-uniform thickness parabolic type changeable section plate spring is strengthened in rootgC1Determine:
According to leaf spring the piece number n, root shim thickness δc, end pad thickness δe, the free tangent line camber of each leaf spring sets Evaluation Hgi0, i=1,2 ..., n, the thickness h of the root flat segments of preceding n-1 pieces leaf spring2i, the thickness h of end flat segments1i, step (1) K being calculated ini, i=1,2 ..., n strengthen root non-uniform thickness and lack the assembling clamping of piece parabolic type changeable section plate spring The initial tangential camber H of first leaf spring afterwardsgC1It is determined, i.e.,
(3) other each initial tangential camber H of non-uniform thickness parabolic type changeable section plate spring are strengthened in rootgCiDetermine:
According to leaf spring the piece number n, root shim thickness δc, end pad thickness δe, the root flat segments of preceding n-1 pieces leaf spring Thickness h2i-1, the thickness h of the end flat segments of preceding n-1 pieces leaf spring1i-1, the H that determines in step (2)gC1, root is strengthened non- Uniform thickness lacks next other each leaf spring initial tangential camber in addition to first leaf spring of piece parabolic type changeable section plate spring mounting clip HgCiIt is determined, i=2,3 ..., n, i.e.,
HgCi=HgC1+(h2i-1c)-(h1i-1e), i=2,3 ..., n;
(4) each leaf spring pinching end point power F of non-uniform thickness parabolic type changeable section plate spring is strengthened in rootiSimulation calculation:
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, identified H in step (2) and step (3)gCi, non-uniform thickness is strengthened to root and lacks piece parabolic type changeable section plate spring mounting clip The clamping endpoint power F of each next leaf springiProgress simulation calculation, i=1,2 ..., n, i.e.,
The present invention has the advantage that than the prior art
Non- uniform thickness is strengthened for root and lacks piece parabolic type changeable section plate spring, had not provided accurately and reliably root always previously Strengthen non-uniform thickness and lack the simulation calculation method that piece changeable section plate spring clamps endpoint power in portion, it is impossible to meet vehicle fast development and to suspension Leaf spring modernizes the requirement of CAD design.The present invention can be according to leaf spring the piece number, the structural parameters of each leaf spring and free tangent line camber Design value, elasticity modulus, the thickness of root and end pad strengthens non-uniform thickness to root and lacks piece parabolic type changeable section plate spring The clamping endpoint power of each next leaf spring of mounting clip carries out simulation calculation.By prototype test test it is found that the present invention is carried The simulation calculation method that the root non-uniform thickness of reinforcement of confession lacks piece changeable section plate spring clamping endpoint power is correct, be can obtain accurately and reliably Each leaf spring pinching end point power simulation calculation value, established reliable skill for the simulation calculation of each pre- clamping stress of leaf spring Art basis.Design level, reliability and the service life and vehicle safety of product can be improved using this method;Meanwhile The design and testing expenses of product are reduced, accelerates 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 that the simulation calculation flow process figure that non-uniform thickness lacks piece parabolic type changeable section plate spring clamping endpoint power is strengthened in root;
Fig. 2 is that the half clamping structure schematic diagram that non-uniform thickness lacks piece parabolic type changeable section plate spring is strengthened in root.
Specific embodiment
The present invention is described in further detail below by embodiment.
Embodiment one:Strengthen the width b=60mm that non-uniform thickness lacks piece parabolic type changeable section plate spring, half effect in certain root Length LT=575mm, elastic modulus E=200GPa, the half length L for the root flat segments that U-bolts clamps0=50mm, tiltedly The horizontal length Δ l=30mm of line segment, the horizontal distance l of the root of oblique line section to leaf spring endpoint2=LT-L0=525mm, parabolic The root of line segment is to the horizontal distance l of leaf spring endpoint2p=l2Δ l=495mm.Leaf spring the piece number n=3, the root of each leaf spring are put down The thickness h of straight section21=18.5mm, h22=18mm, h23=17.5mm;The root thickness h of parabolic segment21p=17.5mm, h22p= 17mm, h23p=16.5mm;The thickness h of end flat segments11=8mm, h12=7mm, h13=6mm.The oblique line section of each leaf spring Thickness ratio γ1=h21p/h21=0.9459, γ2=h22p/h22=0.9444, γ3=h23p/h23=0.9429;Parabolic segment Thickness ratio β1=h11/h21p=0.4571, β2=h12/h22p=0.41181, β3=h13/h23p=0.3636.Each leaf spring from By the design value H of tangent line camberg10=92.7mm, Hg20=102.5mm, Hg30=105.8mm.Root shim thickness δc=3mm, End pad thickness δe=6mm.According to leaf spring the piece number, the structural parameters of each leaf spring and the design value of free tangent line camber, bullet Property modulus, the thickness of root and end pad strengthens the root non-uniform thickness and lack the assembling clamping of piece parabolic type changeable section plate spring The clamping endpoint power of each leaf spring afterwards carries out simulation calculation.
The root that present example is provided strengthens non-uniform thickness and lacks the simulation calculation method that piece changeable section plate spring clamps endpoint power, Its simulation calculation flow process is as shown in Figure 1, specific simulation calculation step is as follows:
(1) each leaf spring clamping stiffness K of non-uniform thickness parabolic type changeable section plate spring is strengthened in rootiIt calculates:
Step A:The gripping end deformation coefficient G of each leaf springx-EiCalculating
According to leaf spring the piece number n=3, the width b=60mm of root leaf spring, elastic modulus E=200GPa, the level length of oblique line section Spend Δ l=30mm, the horizontal distance l of the root of oblique line section to leaf spring endpoint2=525mm, the root to leaf spring end of parabolic segment The horizontal distance l of point2p=495mm, the thickness ratio γ of the oblique line section of each leaf spring1=0.9459, γ2=0.9444, γ3= 0.9429, the thickness ratio β of parabolic segment1=0.4571, β2=0.41181, β3=0.3636, it is few that non-uniform thickness is strengthened to the root The pinching end point deformation coefficient G of each leaf spring of piece parabolic type changeable section plate springx-EiIt 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-E1=99.437mm4/ N, Gx-E2=101.13mm4/ N, Gx-E3=102.66mm4/ N strengthens the root clamping stiffness K that non-uniform thickness lacks each leaf spring of piece parabolic type changeable section plate springiIt is calculated, i= 1,2,3, i.e.,
(2) first initial tangential camber H of non-uniform thickness parabolic type changeable section plate spring is strengthened in rootgC1Determine:
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=92.7mm, Hg20=102.5mm, Hg30=105.8mm;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=8mm, h12=7mm;Step (1) In the K that is calculated1=127.35N/mm, K2=115.34N/mm, K3It is few to strengthen non-uniform thickness to the root by=104.41N/mm The initial tangential camber H of first next leaf spring of piece parabolic type changeable section plate spring mounting clipgC1It is determined, i.e.,
(3) other each initial tangential camber H of non-uniform thickness parabolic type changeable section plate spring are strengthened in rootgCiDetermine:
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=8mm, h12= 7mm;The H determined in step (2)gC1=95mm strengthens the root non-uniform thickness and lacks the assembling of piece parabolic type changeable section plate spring The initial tangential camber H of other each leaf spring after clamping in addition to first leaf springgCiIt is determined, i=2,3, i.e.,
HgC2=HgC1+(h21c)-(h11e)=102.5mm,
HgC3=HgC1+(h22c)-(h12e)=103mm.
(4) each leaf spring pinching end point power F of non-uniform thickness parabolic type changeable section plate spring is strengthened in rootiSimulation calculation:
According to leaf spring the piece number n=3, the design value H of the free tangent line camber of each leaf springg10=92.7mm, Hg20= 102.5mm, Hg30=105.8mm;The K being calculated in step (1)1=127.35N/mm, K2=115.34N/mm, K3= Identified H in 104.41N/mm, step (2) and step (3)gC1=95mm, HgC2=102.5mm, HgC3=103mm, to the root Strengthen the clamping endpoint power F that non-uniform thickness lacks each next leaf spring of piece parabolic type changeable section plate spring mounting clip in portioniIt is emulated It calculates, i=1,2,3, i.e.,
Piece changeable section plate spring pinching end is lacked it is found that non-uniform thickness is strengthened in root provided by the present invention by prototype test test The simulation calculation method of point power is correct, can obtain the simulation calculation value of accurately and reliably each leaf spring pinching end point power, is each The simulation calculation of the pre- clamping stress of piece leaf spring has established reliable technical foundation.
Embodiment two:Strengthen the width b=60mm that non-uniform thickness lacks piece parabolic type changeable section plate spring, half effect in certain root Length LT=575mm, U-bolts clamp away from root flat segments half length L0=50mm, the horizontal length Δ l of oblique line section =30mm, the horizontal distance l of the root of oblique line section to leaf spring endpoint2=LT-L0=525mm, the root to leaf spring end of parabolic segment The horizontal distance l of point2p=l2Δ l=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=15.5mm, the root thickness h of parabolic segment21p=16mm, h22p=15.6mm, h23p=15.2mm, h24p=14.7mm;The thickness h of end flat segments11=8mm, h12=7mm, h13=6mm, h14=5mm.Each The thickness ratio γ of the oblique line section of leaf spring1=h21p/h21=0.9412, γ2=h22p/h22=0.9455, γ3=h23p/h23= 0.95, γ4=h24p/h24=0.9484;The thickness ratio β of parabolic segment1=h11/h21p=0.5, β2=h12/h22p=0.4487, β3=h13/h23p=0.3947, β4=h14/h24p=0.3401.The design value H of the free tangent line camber of each leaf springg10= 86.7mm Hg20=94.8mm, Hg30=97.8mm, Hg40=101.5mm.Root shim thickness δc=3mm, end pad thickness δe =6mm.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 and end The thickness of portion's gasket strengthens the root on the folder that non-uniform thickness lacks each next leaf spring of piece parabolic type changeable section plate spring mounting clip Tight endpoint power carries out simulation calculation.
Using the emulated computation method and step identical with embodiment one, non-uniform thickness is strengthened to the root and lacks piece parabolic type The clamping endpoint power of each next leaf spring of changeable section plate spring mounting clip carries out simulation calculation, and specific simulation calculation step is as follows:
(1) each leaf spring clamping stiffness K of non-uniform thickness parabolic type changeable section plate spring is strengthened in rootiIt calculates:
Step A:The gripping end deformation coefficient G of each leaf springx-EiCalculating
According to leaf spring the piece number n=4, the width b=60mm of leaf spring, elastic modulus E=200GPa, the horizontal length of oblique line section Δ l=30mm, the horizontal distance l of the root of oblique line section to leaf spring endpoint2=525mm, the root of parabolic segment to leaf spring endpoint Horizontal distance l2p=495mm, the thickness ratio γ of the oblique line section of each leaf spring1=0.9412, γ2=0.9455, γ3=0.95, γ4=0.9484, the thickness ratio β of parabolic segment1=0.5, β2=0.4487, β3=0.3947, β4=0.3401, which is added Strong non-uniform thickness lacks the pinching end point deformation coefficient G of each leaf spring of piece parabolic type changeable section plate springx-EiIt 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 at the root flat segments end of each leaf spring21=17mm, h22=16.5mm, h23 =16mm, h24=15.5mm, the G being calculated in step (1)x-E1=99.462mm4/ N, Gx-E2=99.833mm4/ N, Gx-E3 =99.828mm4/ N, Gx-E4=101.37mm4/ N strengthens the root each that non-uniform thickness lacks piece parabolic type changeable section plate spring The clamping stiffness K of leaf springiIt is calculated, i=1,2 ... n, i.e.,
(2) first initial tangential camber H of non-uniform thickness parabolic type changeable section plate spring is strengthened in rootgC1Determine:
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=86.7mm, Hg20=94.8mm, Hg30=97.8mm, Hg40=101.5mm;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=98.792N/mm, K2=89.992N/mm, K3= 82.061N/mm K3It is next to lack piece parabolic type changeable section plate spring mounting clip to the root non-uniform thickness of reinforcement by=73.473N/mm The initial tangential camber H of first leaf springgC1It is determined, i.e.,
(3) other each initial tangential camber H of non-uniform thickness parabolic type changeable section plate spring are strengthened in rootgCiEmulation meter It calculates:
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, h13=6mm;The H determined in step (2)gC1=90mm strengthens non-uniform thickness to the root and lacks piece parabolic The initial tangential camber H of next other each leaf spring in addition to first leaf spring of line style changeable section plate spring mounting clipgCiIt carries out true It is fixed, i=2,3,4, i.e.,
HgC2=HgC1+(h21c)-(h11e)=96mm,
HgC3=HgC1+(h22c)-(h12e)=96.5mm,
HgC4=HgC1+(h23c)-(h13e)=97mm.
(4) each leaf spring pinching end point power F of non-uniform thickness parabolic type changeable section plate spring is strengthened in rootiSimulation calculation:
According to leaf spring the piece number n=4, the design value H of the free tangent line camber of each leaf springg10=86.7mm, Hg20= 94.8mm Hg30=97.8mm, Hg40=101.5mm;The K being calculated in step (1)1=98.792N/mm, K2=89.992N/ Mm, K3=82.061N/mm, K3Identified H in=73.473N/mm, step (2) and step (3)gC1=90mm, HgC2= 96mm, HgC3=96.5mm, HgC4It is next to lack piece parabolic type changeable section plate spring mounting clip to the root non-uniform thickness of reinforcement by=97mm Each leaf spring clamping endpoint power FiProgress simulation calculation, i=1,2 ... n, i.e.,
Piece changeable section plate spring pinching end is lacked it is found that non-uniform thickness is strengthened in root provided by the present invention by prototype test test The simulation calculation method of point power is correct, can obtain the simulation calculation value of accurately and reliably each leaf spring pinching end point power, is each The simulation calculation of the pre- clamping stress of piece leaf spring has established reliable technical foundation.The design water of product can be improved using this method Flat, reliability and service life and vehicle safety;Meanwhile the design and testing expenses of product are reduced, accelerate product and open Send out speed.

Claims (1)

1. non-uniform thickness is strengthened in root lacks the simulation calculation method that piece changeable section plate spring clamps endpoint power, wherein, the half of each leaf spring Action length is made of four sections of root flat segments, oblique line section, parabolic segment and end flat segments, and root flat segments are used to ride The assembling of horse conch bolt clamps, and oblique line section plays booster action to leaf spring root;The thickness of each leaf spring root flat segments is unequal, i.e. root Strengthen non-uniform thickness and lack piece parabolic type changeable section plate spring in portion;The simulation calculation of each leaf spring pinching end point power is that each leaf spring presss from both sides in advance The premise that tight stress simulation calculates;According to leaf spring the piece number, the structural parameters of each leaf spring and the design value of free tangent line camber, bullet Property modulus, the thickness of root shim and end pad strengthens non-uniform thickness to root and lacks piece parabolic type changeable section plate spring mounting clip The clamping endpoint power of each next leaf spring carries out simulation calculation, it is characterised in that using simulation calculation step in detail below:
(1) each leaf spring clamping stiffness K of non-uniform thickness parabolic type changeable section plate spring is strengthened in rootiIt calculates:
Step A:The gripping end deformation coefficient G of each leaf springx-EiCalculating
According to leaf spring the piece number n, the width b of leaf spring, the horizontal length Δ l of oblique line section, the water of the root of oblique line section to leaf spring endpoint Flat distance l2, the horizontal distance l of the root of parabolic segment to leaf spring endpoint2p, elastic modulus E;The root flat segments of each leaf spring Thickness h2i, the root thickness h of parabolic segment2ip, the thickness h of end flat segments1i;The thickness ratio γ of the oblique line section of each leaf springi =h2ip/h2i, the thickness ratio β of parabolic segmenti=h1i/h2ip, non-uniform thickness is strengthened to root and lacks piece parabolic type changeable section plate spring The pinching end point deformation coefficient G of each leaf springx-EiIt 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-Ei, to root Strengthen the clamping stiffness K that non-uniform thickness lacks each leaf spring of piece parabolic type changeable section plate springiIt is calculated, i=1,2 ... n, i.e.,
(2) first initial tangential camber H of non-uniform thickness parabolic type changeable section plate spring is strengthened in rootgC1Determine:
According to leaf spring the piece number n, root shim thickness δc, end pad thickness δe, the design value of the free tangent line camber of each leaf spring Hgi0, i=1,2 ..., n, the thickness h of the root flat segments of preceding n-1 pieces leaf spring2i, the thickness h of end flat segments1i, in step (1) The K being calculatedi, i=1,2 ..., n strengthen non-uniform thickness to root and lack the next head of piece parabolic type changeable section plate spring mounting clip The initial tangential camber H of piece leaf springgC1It is determined, i.e.,
(3) other each initial tangential camber H of non-uniform thickness parabolic type changeable section plate spring are strengthened in rootgCiDetermine:
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 pieces leaf spring h2i-1, the thickness h of the end flat segments of preceding n-1 pieces leaf spring1i-1, the H that determines in step (2)gC1, non-uniform thickness is strengthened to root Next other each leaf spring initial tangential camber H in addition to first leaf spring of few piece parabolic type changeable section plate spring mounting clipgCiInto Row is determining, i=2,3 ..., n, i.e.,
HgCi=HgC1+(h2i-1c)-(h1i-1e), i=2,3 ..., n;
(4) each leaf spring pinching end point power F of non-uniform thickness parabolic type changeable section plate spring is strengthened in rootiSimulation calculation:
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) identified H and in step (3)gCi, it is next that piece parabolic type changeable section plate spring mounting clip is lacked to the root non-uniform thickness of reinforcement The clamping endpoint power F of each leaf springiProgress simulation calculation, i=1,2 ..., n, i.e.,
CN201810051132.5A 2018-01-19 2018-01-19 Strengthen non-uniform thickness and lack the simulation calculation method that piece changeable section plate spring clamps endpoint power in root Withdrawn CN108256226A (en)

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