CN108280283A - Double simulation calculation methods reinforced the non-uniform thickness formula changeable section plate spring in root and clamp endpoint power - Google Patents

Double simulation calculation methods reinforced the non-uniform thickness formula changeable section plate spring in root and clamp endpoint power Download PDF

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CN108280283A
CN108280283A CN201810051130.6A CN201810051130A CN108280283A CN 108280283 A CN108280283 A CN 108280283A CN 201810051130 A CN201810051130 A CN 201810051130A CN 108280283 A CN108280283 A CN 108280283A
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leaf spring
root
thickness
uniform thickness
spring
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陈海真
周长城
赵雷雷
杨腾飞
杨铖兆
李晓晗
梁宇通
石莹
于曰伟
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Shandong University of Technology
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    • G06—COMPUTING; CALCULATING OR COUNTING
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    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
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    • G06F2119/06—Power analysis or power optimisation

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Abstract

The present invention relates to the simulation calculation methods that the non-uniform thickness formula changeable section plate spring in double reinforcement roots clamps 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 carries out simulation calculation to double clamping endpoint power for reinforcing each next leaf spring of the non-uniform thickness formula changeable section plate spring mounting clip in root.By prototype test, double simulation calculation methods for reinforcing the non-uniform thickness formula changeable section plate spring clamping endpoint power in root provided by the present invention are accurate, the simulation calculation value of available accurately and reliably each leaf spring pinching end point power has established reliable technical foundation for the simulation calculation of each pre- clamping stress of leaf spring.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, accelerate product development speed.

Description

Double simulation calculation methods reinforced the non-uniform thickness formula changeable section plate spring in root and clamp endpoint power
Technical field
The present invention relates to vehicle suspensions to lack piece changeable section plate spring, especially the non-uniform thickness formula changeable section plate spring folder in double reinforcements root 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 having 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 The highest attention of industry and 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 reinforcing leaf spring intensity, can be used it is double reinforce the non-uniform thickness formula changeable section plate springs in root, i.e., first The thickness of the root flat segments of leaf spring is more than the thickness of the root flat segments of other each leaf spring, and straight in leaf spring root Between section and parabolic segment, and increase oblique line section 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 set to generate certain pre- clamping compression, 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, wherein the pre- clamping stress of each leaf spring is by the clamping endpoint of each leaf spring What power was determined, therefore, the simulation calculation of the clamping endpoint power of each leaf spring is the premise of pre- clamping stress simulation calculation.So And according to consulting reference materials it is found that since double Rigidity Calculations for reinforcing the non-uniform thickness formula changeable section plate springs in root are complicated, always not previously Provide double simulation calculation methods reinforced the non-uniform thickness formula changeable section plate spring in root and clamp endpoint power.With Vehicle Speed and its right The continuous improvement that ride comfort requires, to few piece parabolic type changeable section plate spring, more stringent requirements are proposed, therefore, it is necessary to establish one The simulation calculation methods of accurate, the reliable double non-uniform thickness formula changeable section plate spring clamping endpoint power in reinforcement roots of kind, are that each leaf spring is pre- The simulation calculation of clamping stress establishes reliable technical foundation, with meet Vehicle Industry fast-developing, vehicle ride performance and The design requirement of safety and few piece parabolic type changeable section plate spring, 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.
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, The reliable simulation calculation method reinforced the non-uniform thickness formula changeable section plate spring in root in pairs and clamp endpoint power, simulation calculation flow process figure, As shown in Figure 1.Double non-uniform thickness formula changeable section plate springs in reinforcement root are with center mounting hole symmetrical structure, and one hemihedrism clamps Structural 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, it is by root flat segments, root oblique line Five sections of section, parabolic segment, end oblique line section and end flat segments are constituted, wherein root oblique line section and end oblique line section difference Booster action is played to leaf spring root and end, root flat segments are clamped for U-bolts assembly, and the root of each leaf spring is straight The thickness of section is unequal, i.e., double non-uniform thickness formula changeable section plate springs in reinforcement root.The half length of the root flat segments of each leaf spring For 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 of root oblique line section is arrived The horizontal distance l of leaf spring endpoint2=LT-L0, the horizontal distance l of the root of parabolic segment to leaf spring endpoint2p=LT-L0-Δl1.Respectively The non-equal structures of end flat segments of piece leaf spring, i.e., the uniform thickness and length of the end flat segments of first leaf spring are more than other each leaf spring End flat segments uniform thickness and length, to meet the requirement of first leaf spring stress complexity.The root flat segments of each leaf spring Thickness is h2i, the root thickness h of parabolic segment2ip, wherein h2i>h2ip≥h2il2ip/l2；The end thickness h of parabolic segment1ip, The thickness of end flat segments 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=l2pβi 2, the length l of end flat segments1i=l1ip-Δl2.Root shim 2, root are equipped between the root of each leaf spring Spacer thickness is δc.End pad 3 is equipped between the end of each leaf spring, the thickness of end pad is δe, material is multiple for carbon fiber Condensation material, to reduce frictional noise caused by leaf spring work.The free tangent line camber of each leaf spring is Hgi0, mounting clip is next First leaf spring initial tangential camber be HgC1, the pre- clamping endpoint power of each leaf spring is Fi, the pre- clamping stress of each leaf spring For σi, i=1,2 ..., n pass through the free tangent line camber of respective difference of each leaf spring, it is ensured that the first sheet after the pre- clamping of assembly Spring initial tangential camber and the pre- clamping stress of each leaf spring meet design requirement.The simulation calculation for clamping endpoint power is each sheet The premise of the pre- clamping stress simulation calculation of spring.According to leaf spring the piece number, elasticity modulus, the thickness of root and end pad, each sheet It is next to reinforce the non-uniform thickness formula changeable section plate spring mounting clip in root to this pair for the design value of the structural parameters of spring and free tangent line camber Each leaf spring clamping endpoint power carry out simulation calculation.
In order to solve the above technical problems, double non-uniform thickness formula changeable section plate springs in root of reinforcing provided by the present invention clamp endpoint The simulation calculation method of power, it is characterised in that use following simulation calculation step：
(1) double each leaf springs for reinforcing 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；Horizontal distance l of the root of root oblique line section to 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 non-uniform thickness formula parabolas in reinforcement 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, right The clamping stiffness K of double each leaf springs for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in rootiIt is calculated, i=1,2 ..., N, i.e.,
(2) double first leaf spring initial tangential camber H for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in rootgC1Really 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, root shim thickness δc, end pad Piece 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, step (1) In the K that is calculatedi, i=1,2 ..., n are next to the non-uniform thickness formula parabolic type changeable section plate spring mounting clip in double reinforcement roots The initial tangential camber H of first leaf springgC1It is determined, i.e.,
(3) double other each leaf spring initial tangential camber H for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in rootgCi Determination:
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, obtained H is determined in step (2)gC1, to the non-uniform thickness in double reinforcement roots The initial tangential camber H of next other each leaf spring in addition to first leaf spring of formula parabolic type changeable section plate spring mounting clipgCiInto Row determination, i=2,3 ..., n, i.e.,
HgCi=HgC1+(h2+δc)-(h1i-1+δe), i=2,3 ..., n；
(4) double each leaf springs for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in root clamp endpoint power F in advanceiEmulation It calculates：
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, obtained H is determined in step (2) and step (3)gCi, reinforce each of the non-uniform thickness formula parabolic type changeable section plate spring in root to double The pre- clamping endpoint power F of piece leaf springiProgress simulation calculation, i=1,2 ..., n, i.e.,
The present invention has the advantage that than the prior art
For the non-uniform thickness formula parabolic type changeable section plate spring in double reinforcement roots, do not provided always previously accurately and reliably double Reinforce the simulation calculation method that the non-uniform thickness formula changeable section plate spring in root clamps endpoint power, vehicle fast development cannot be met and to suspension The requirement of few piece changeable section plate spring modernization CAD design.The present invention can be according to leaf spring the piece number, elasticity modulus, root and end pad The thickness of piece, the structural parameters of each leaf spring and the design value of free tangent line camber, to double non-uniform thickness formula variable cross-sections in reinforcement root The clamping endpoint power of each next leaf spring of leaf spring mounting clip carries out simulation calculation.By prototype test test it is found that the present invention It is correct that the non-uniform thickness formula changeable section plate spring in double reinforcement roots provided, which clamps the simulation calculation method of endpoint power, and it is accurate to can be obtained Reliable each leaf spring clamps the simulation calculation value of endpoint power in advance, reinforces the non-uniform thickness formula parabolic type changeable section plate spring in root to be double The simulation calculation of each next pre- clamping stress of leaf spring of mounting clip has established reliable technical foundation.It can be improved using this method Design level, reliability and the service life and vehicle safety of product；Meanwhile reducing the design and test fee of product With quickening 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 reinforced the non-uniform thickness formula changeable section plate spring in root and clamp endpoint power；
Fig. 2 is double half clamping structure schematic diagrames for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in root.
Specific embodiment
Below by embodiment, invention is further described in detail.
Embodiment one：Certain double width b=60mm for reinforcing 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 section2The root of=40mm, 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=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.Horizontal distance l of the parabolic segment end of each leaf spring to leaf spring endpoint11p=l2β1 2=109.7mm, l12p=l2β2 2 =89mm, l13p=l2β3 2=69.4mm；The length l of end flat segments11=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 leaf spring the piece number, elasticity The thickness of modulus, root and end pad, the structural parameters of each leaf spring and the design value of free tangent line camber, reinforce this pair The clamping endpoint power of each next leaf spring of the non-uniform thickness formula changeable section plate spring mounting clip in root carries out simulation calculation.
The non-uniform thickness formula changeable section plate spring in double reinforcement roots that present example is provided clamps the simulation calculation method of endpoint power, Its simulation calculation flow process is as shown in Figure 1, specifically steps are as follows for simulation calculation：
(1) double each leaf springs for reinforcing 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 horizontal distance l of the root of parabolic segment to 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 Horizontal distance l of the end of parabolic segment to leaf spring endpoint11p=109.7mm, l12p=89mm, l13p=69.4mm；End is straight The length l of section11=79.7mm, l12=59mm, l13=39.4mm.The non-uniform thickness formula parabolic type variable cross-section in root is reinforced to this pair The pinching end point deformation coefficient G of each leaf spring of leaf springx-FiIt is calculated, i=1,2,3, i.e.,
Step B：The clamping stiffness K of each leaf springiCalculating
According to the piece number n=3 of leaf spring, the thickness h of each leaf spring root flat segments21=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, each leaf spring for reinforcing this pair the non-uniform thickness formula parabolic type changeable section plate spring in root clamp stiffness KiIt is calculated, i=1, 2,3, i.e.,
(2) double first leaf spring initial tangential camber H for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in rootgC1Really It is fixed：
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 end flat segments11=9mm, h12=8mm, step are calculated in (1) K1=132.47N/mm, K2=119.69N/mm, K3=108.11N/mm reinforces the non-uniform thickness formula parabolic type in root to this pair The initial tangential camber H of first next leaf spring of changeable section plate spring mounting clipgC1It is determined, i.e.,
(3) double other each leaf spring initial tangential camber H for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in rootgCi Determination：
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= 8mm determines obtained H in step (2)gC1=95mm reinforces the non-uniform thickness formula parabolic type changeable section plate spring in root to this pair and assembles 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+(h2+δc)-(h11+δe)=101.5mm,
HgC3=HgC1+(h2+δc)-(h12+δe)=102mm.
(4) double each leaf springs for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in root clamp endpoint power F in advanceiEmulation It calculates：
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= The H that simulation calculation obtains in 108.11N/mm, step (2) and step (3)gC1=95mm, HgC2=101.5mm, HgC3=102mm, Reinforce this pair the pre- clamping endpoint power F of each next leaf spring of the non-uniform thickness formula parabolic type changeable section plate spring mounting clip in rooti Progress simulation calculation, i=1,2,3, i.e.,
By prototype test test it is found that double reinforcement non-uniform thickness formula changeable section plate spring pinching ends in root provided by the present invention The simulation calculation method of point power is correct, and the simulation calculation value of accurately and reliably each leaf spring pinching end point power can be obtained, be each The simulation calculation of the pre- clamping stress of piece leaf spring has established reliable technical foundation.
Embodiment two：Certain double width b=60mm for reinforcing 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 section2The root of=40mm, 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.Horizontal distance l of the end of the parabolic segment of each leaf spring to 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 end flat segments11=l11p-Δl1 =70.5mm, l12=l12p-Δl1=48.7mm, l13=l13p-Δl1=28.3mm, l14=l14p-Δl1=28.3mm.Each The design value H of the free tangent line camber of leaf springg10=86.9mm, Hg20=94.9mm, Hg30=97.8mm, Hg40=100.8mm.Root Portion spacer thickness δc=3mm, end pad thickness δe=6mm.According to leaf spring the piece number, elasticity modulus, the thickness of root and end pad Degree, the structural parameters of each leaf spring and the design value of free tangent line camber, to this pair reinforcement non-uniform thickness formula changeable section plate spring in root The clamping endpoint power of each next leaf spring of mounting clip carries out simulation calculation.
Using emulated computation method identical with embodiment one and step, the non-uniform thickness formula parabolic type in root is reinforced to this pair Each leaf spring pinching end point power of changeable section plate spring carries out simulation calculation, and steps are as follows for specific simulation calculation：
(1) double each leaf springs for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in root clamp the calculating of stiffness K：
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.Level of the root of root oblique line section to leaf spring endpoint Distance l2=525mm；Horizontal distance l of the root of parabolic segment to 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.Horizontal distance l of the end of the parabolic segment of each leaf spring to 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 reinforced 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 reinforces 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 first leaf spring initial tangential camber H for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in rootgC1Really It is fixed：
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 reinforce 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.,
(3) double other each leaf spring initial tangential camber H for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in rootgCi Determination：
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 determines obtained H in step (2)gC1=90mm reinforces the non-uniform thickness formula parabolic in root to this pair 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+(h2+δc)-(h11+δe)=96mm,
HgC3=HgC1+(h2+δc)-(h12+δe)=96.5mm,
HgC4=HgC1+(h2+δc)-(h13+δe)=97mm.
(4) double each leaf springs for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in root clamp endpoint power F in advanceiEmulation It calculates：
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 determines obtained H in step (2) and (3)gC1=90mm, HgC2=96mm, HgC3=96.5mm, HgC3=97mm, next to this pair reinforcement non-uniform thickness formula parabolic type changeable section plate spring mounting clip in root is each The pre- clamping endpoint power F of piece leaf springiProgress simulation calculation, i=1,2 ..., n, i.e.,
By prototype test test it is found that double reinforcement non-uniform thickness formula changeable section plate spring pinching ends in root provided by the present invention The simulation calculation method of point power is correct, and available accurately and reliably each leaf spring clamps the simulation calculation value of endpoint power in advance, is Double simulation calculations for reinforcing each next pre- clamping stress of leaf spring of the non-uniform thickness formula parabolic type changeable section plate spring mounting clip in root Reliable technical foundation is established.Design level, reliability and the service life and vehicle row of product can be improved using this method Sail safety；Meanwhile the design and testing expenses of product are reduced, accelerate product development speed.

Claims (1)

1. pair non-uniform thickness formula changeable section plate spring in reinforcement root clamps the simulation calculation method of endpoint power, 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 flat segments for U-bolts assembly clamp, the thickness of the root flat segments of each leaf spring is unequal, root oblique line section and End oblique line section plays booster action to leaf spring root and end respectively, i.e., double non-uniform thickness formulas in reinforcement root are lacked the change of piece parabolic type and cut Panel spring；For each leaf spring of given design structural parameters and free tangent line camber, each next leaf spring of mounting clip presss from both sides in advance Before tight stress must satisfy design requirement, and the simulation calculation for clamping endpoint power is the pre- clamping stress simulation calculation of each leaf spring It carries；According to leaf spring the piece number, the thickness of root and end pad, the structural parameters of each leaf spring and the design of free tangent line camber Value, elasticity modulus lack each next leaf spring of piece parabolic type changeable section plate spring mounting clip to double reinforcement non-uniform thickness formulas in root It clamps endpoint power and carries out simulation calculation, steps are as follows for specific simulation calculation：
(1) double each leaf springs for reinforcing 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；Horizontal distance l of the root of root oblique line section to 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 first leaf spring initial tangential camber H for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in rootgC1Determination：
According to leaf spring the piece number n, the design value H of the free tangent line camber of each leaf springgi0, root shim thickness δc, end pad thickness Spend 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, step (1) falls into a trap Obtained Ki, i=1,2 ..., n, first next to double reinforcement non-uniform thickness formula parabolic type changeable section plate spring mounting clips in root The initial tangential camber H of leaf springgC1It is determined, i.e.,
(3) double other each leaf spring initial tangential camber H for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in rootgCiReally It is fixed:
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, obtained H is determined in step (2)gC1, to double non-uniform thickness formula parabolics in reinforcement root 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 ..., n, i.e.,
HgCi=HgC1+(h2+δc)-(h1i-1+δe), i=2,3 ..., n；
(4) double each leaf springs for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in root clamp endpoint power F in advanceiSimulation 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) obtained H and is determined in step (3)gCi, to double each leaf springs for reinforcing the non-uniform thickness formula parabolic type changeable section plate spring in root Pre- clamping endpoint power FiProgress simulation calculation, i=1,2 ..., n, i.e.,
CN201810051130.6A 2018-01-19 2018-01-19 Double simulation calculation methods reinforced the non-uniform thickness formula changeable section plate spring in root and clamp endpoint power Withdrawn CN108280283A (en)

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Application publication date: 20180713