CN106641054A - Design method of arc height of end-non-isotactic few-leaf oblique line type steel plate spring - Google Patents

Design method of arc height of end-non-isotactic few-leaf oblique line type steel plate spring Download PDF

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Publication number
CN106641054A
CN106641054A CN201610907513.XA CN201610907513A CN106641054A CN 106641054 A CN106641054 A CN 106641054A CN 201610907513 A CN201610907513 A CN 201610907513A CN 106641054 A CN106641054 A CN 106641054A
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spring
oblique line
steel plate
design
few
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CN106641054B (en
Inventor
周长城
于曰伟
刘灿昌
王凤娟
邵明磊
汪晓
杨腾飞
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Shandong University of Technology
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Shandong University of Technology
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F1/00Springs
    • F16F1/02Springs made of steel or other material having low internal friction; Wound, torsion, leaf, cup, ring or the like springs, the material of the spring not being relevant
    • F16F1/18Leaf springs
    • F16F1/185Leaf springs characterised by shape or design of individual leaves
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/17Mechanical parametric or variational design

Abstract

The invention relates to a design method of the arc height of an end-non-isotactic few-leaf oblique line type steel plate spring and belongs to the technical field of suspension steel plate springs. According to the design method, the initial tangent line arc height of the end-non-isotactic few-leaf oblique line type steel plate spring can be designed according to structure parameters, the elasticity modulus, the rated load and the remaining tangent line arc height design required value under the rated load of all pieces of springs. It is known by model machine loading deformation experiment tests that the design method of the arc height of the end-non-isotactic few-leaf oblique line type steel plate spring is correct, the accurate and reliable initial tangent line arc height design value can be obtained, and a reliable technological foundation is laid for design of the end-non-isotactic few-leaf oblique line type steel plate spring and CAD software development. By means of the method, the product design level, quality and performance and vehicle driving smoothness can be improved; and meanwhile, the product design and experiment test cost is lowered, and the product development speed is increased.

Description

The method for designing of few piece oblique line steel plate spring camber of the non-grade structure in end
Technical field
The present invention relates to few piece oblique line steel plate spring camber of the non-grade structure of vehicle suspension leaf spring, particularly end Method for designing.
Background technology
With vehicle energy saving, comfortableization, lightweight, the fast development of safe, few piece variable-section steel sheet spring is because of tool Have lightweight, stock utilization is high, and little without rubbing or rubbing between piece, vibration noise is low, the advantages of long service life, be increasingly subject to The highest attention of vehicle suspension expert, manufacturing enterprise and vehicle manufacture enterprise, and obtained in vehicle suspension system extensively Using.Generally for the design requirement for meeting processing technology, stress intensity, rigidity and hanger thickness, can be by few piece Variable Section Steel Flat spring is processed as the different structure forms such as reinforced parabolic type, bias type, root, reinforcement end, two ends are reinforced, this Outward, because the stress of few flat spring of piece variable-section steel sheet spring the 1st is complex, vertical load is subjected to, while also subject to Torsional load and longitudinal loading, therefore, the thickness and length of the end flat segments of the 1st flat spring designed by reality, more than it The thickness and length of his each flat spring end flat segments, i.e., mostly adopt few piece variable-section steel sheet spring of the non-grade structure in end, with Meet the complicated requirement of the 1st flat spring stress.Understand according to consulting reference materials, predecessor State is inside and outside for few piece oblique line steel plate spring Design and calculating, are both for greatly what the leaf spring of the structures such as end was carried out, and the non-grade structure in reliable end be not given always The method for designing of few piece oblique line steel plate spring camber.The continuous improvement required with Vehicle Speed and its to ride comfort, It is non-to end to wait few piece oblique line steel plate spring of structure to put forward higher requirement, therefore, it is necessary to set up a kind of accurate, reliable The method for designing of few piece oblique line steel plate spring camber of the non-grade structure in end, is few piece oblique line steel plate spring of the non-grade structure in end Camber design establish reliable technical foundation, meet the structures such as Vehicle Industry fast-developing, vehicle ride performance and end be non- Few piece oblique line steel plate spring design requirement, improve product design level, quality and performance, meet vehicle ride performance Design requirement;Meanwhile, design and testing expenses are reduced, accelerate product development speed.
The content of the invention
For defect present in above-mentioned prior art, the technical problem to be solved be to provide it is a kind of easy, Reliable end is non-wait structure few piece oblique line steel plate spring camber method for designing, its design flow diagram, as shown in Figure 1.It is few The half symmetrical structure of piece bias type variable-section steel sheet spring can see Cantilever Beams of Variable Cross Section as, will symmetrical center line see as The root fixing end of half spring, sees spring end stress point as spring end points.End is non-to wait few piece bias type of structure to become The half symmetrical structure schematic diagram of section leaf spring, as shown in Fig. 2 including, spring 1, root shim 2, end pad 3.The half length of each of spring 1 is LM, it is to be made up of three sections of root flat segments, oblique line section and end flat segments, per piece bullet The thickness of the root flat segments of spring is h2M, the half of installing space is l3, the width of each flat spring is b;The end that spring 1 is each Flat segments are non-to wait the thickness and length of structure, i.e. the end flat segments of the 1st flat spring, more than other each thickness and length, respectively The thickness and length of the end flat segments of flat spring is respectively h1MiAnd l1Mi, i=1,2 ..., N, N are number of spring leaf;Middle anaplasia is cut Face is oblique line section, and the thickness ratio of each oblique line section is βi=h1Mi/h2M, the distance of the root of oblique line section to spring end points is l2M= LM-l3, the end of oblique line section is to spring end points apart from l1Mi=l2Mβi 2, the initial tangential camber of each flat spring is Hci.Spring 1 Root shim 2 is provided between the root flat segments of each, between the end flat segments of each of spring 1 end pad 3, end are provided with The material of pad is carbon fibre composite, to reduce the frictional noise produced by spring works.Join in the structure of each flat spring It is non-to end in the case of number, elastic modelling quantity, rated load and the remaining tangent line camber design requirement value under rated load are given Initial tangential camber Deng few piece oblique line steel plate spring of structure is designed.
To solve above-mentioned technical problem, end provided by the present invention is non-to wait few piece oblique line steel plate spring camber of structure Method for designing, it is characterised in that using following design procedure:
(1) each flat spring end points deformation coefficient G of oblique line steel plate spring under end points stressing conditionsx-DiCalculating:
According to half length L of few piece bias type variable-section steel sheet springM, width b, half l of installing space3, oblique line root Portion is to spring end points apart from l2M, elastic modulus E, the thickness of the oblique line section of the i-th flat spring compares βi, wherein, i=1,2 ..., N, N For number of spring leaf, to end points stressing conditions under deformation coefficient G of each flat spring at end pointsx-DiCalculated, i.e.,
(2) End Force F suffered by the oblique line steel plate spring head flat springs under rated load1Calculating:
I steps:According to root thickness h of few piece bias type variable-section steel sheet spring2M, and in step (1) it is calculated Gx-Di, determine each flat spring half stiffness K in the clamp stateMi, i.e.,
Wherein, i=1,2 ..., N, N are number of spring leaf;
II steps:Half rated load P according to suffered by few piece bias type variable-section steel sheet spring, number of spring leaf N, and I K determined by stepMi, to End Force F suffered by first flat spring1Calculated, i.e.,
(3) the bias type spring end deformation f under rated loadDCalculating:
The K according to determined by I steps in step (2)M1, and F determined by II steps1, to the steel plate under rated load The Leading Edge Deformation f of springDCalculated, i.e.,
(4) design of few piece oblique line steel plate spring initial tangential camber of the non-grade structure in end:
According to remaining tangent line camber design requirement value H under rated loadm, and calculated f in step (3)D, it is determined that The initial tangential camber of each flat spring, i.e.,
Hci=Hm+fD
Wherein, i=1,2 ..., N, N are number of spring leaf.
The present invention has the advantage that than prior art
Predecessor State is inside and outside for the design and calculating of few piece oblique line steel plate spring, and the steel plate of the structures such as end is both for greatly What spring was carried out, the method for designing of few piece oblique line steel plate spring camber of the non-grade structure in reliable end be not given always.This Invention can set according to the structural parameters of each flat spring, elastic modelling quantity, rated load and the remaining tangent line camber under rated load Meter required value, the initial tangential camber of few piece oblique line steel plate spring of grade structure non-to end is designed.Loaded by model machine Deformation test test understands, end provided by the present invention is non-to wait the method for designing of few piece oblique line steel plate spring camber of structure to be Correctly, accurately and reliably initial tangential camber design load is obtained, is few piece oblique line steel plate spring of the non-grade structure in end Reliable technical foundation has been established in design and CAD software exploitation;Meanwhile, using the method, product design level, product can be improved Quality and vehicle ride performance;Meanwhile, design and experimental test expense can be also reduced, accelerate product development speed.
Description of the drawings
For a better understanding of the present invention, it is described further below in conjunction with the accompanying drawings.
Fig. 1 is the design flow diagram of few piece bias type variable-section steel sheet spring camber of the non-grade structure in end;
Fig. 2 is the structural representation of the half of few piece bias type variable-section steel sheet spring of the non-grade structure in end.
Specific embodiment
The present invention is described in further detail below by embodiment.
Embodiment one:The piece number N=2 of certain few piece bias type variable-section steel sheet spring, wherein, the half length of each flat spring LM=575mm, width b=60mm, the thickness h of root flat segments2M=11mm, half l of installing space3=55mm, oblique line section Root to spring end points apart from l2M=LM-l3=520mm, elastic modulus E=200GPa;The end of the 1st flat spring is straight The thickness h of section1M1=7mm, the thickness of oblique line section compares β1=h1M1/h2M=0.64;The thickness of the end flat segments of the 2nd flat spring h1M2=6mm, the thickness of oblique line section compares β2=h1M2/h2M=0.55.Half P=1900N of the spring rated load, leaf spring Remaining tangent line camber design requirement value H under rated loadm=26mm, few piece oblique line shape steel plate bullet of grade structure non-to the end The camber of spring is designed.
The method for designing of few piece oblique line steel plate spring camber of the non-grade structure in end that present example is provided, its design Flow process is as shown in figure 1, comprise the following steps that:
(1) each flat spring end points deformation coefficient G of oblique line steel plate spring under end points stressing conditionsx-DiCalculating:
According to half length L of few piece bias type variable-section steel sheet springM=575mm, width b=60mm, installing space Half l3=55mm, oblique line root is to spring end points apart from l2M=520mm, elastic modulus E=200GPa, the 1st flat spring The thickness of oblique line section compare β1The thickness of the oblique line section of the=0.64, the 2nd flat spring compares β2=0.55, under end points stressing conditions 1st, deformation coefficient G of the 2nd flat spring at end pointsx-D1、Gx-D2Calculated, i.e.,
(2) End Force F suffered by the oblique line steel plate spring head flat springs under rated load1Calculating:
I steps:According to root thickness h of few piece bias type variable-section steel sheet spring2MCalculate in=11mm, and step (1) The G for obtainingx-D1=92.70mm4/N、Gx-D2=100.64mm4/ N, determines the 1st, the 2nd flat spring half in the clamp state Stiffness KM1、KM2, i.e.,
II steps:Half rated load P=1900N according to suffered by few piece bias type variable-section steel sheet spring, spring leaf Number N=2, and K determined by I stepsM1=14.36N/mm, KM2=13.23N/mm, to End Force F suffered by first flat spring1 Calculated, i.e.,
(3) the bias type spring end deformation f under rated loadDCalculating:
The K according to determined by I steps in step (2)M1F determined by in=14.36N/mm, and II steps1= 988.91N, the Leading Edge Deformation f to the leaf spring under rated loadDCalculated, i.e.,
(4) design of few piece oblique line steel plate spring initial tangential camber of the non-grade structure in end:
According to remaining tangent line camber design requirement value H under rated loadmCalculated f in=26mm, and step (3)D =68.87mm, determines the initial tangential camber of each flat spring, i.e.,
Hc1=Hm+fD=94.87mm;
Hc2=Hm+fD=94.87mm.
Tested by prototype test, the tangent line camber design load of spring is reliable, the non-grade structure in end can be met The design requirement of few remaining tangent line camber of the piece oblique line steel plate spring under rated load, as a result shows what the invention was provided The method for designing of few piece oblique line steel plate spring camber of the non-grade structure in end is correct, and parameter design value is accurately and reliably.
Embodiment two:The piece number N=2 of certain few piece bias type variable-section steel sheet spring, wherein, the half length of each flat spring LM=600mm, width b=60mm, the thickness h of root flat segments2M=12mm, half l of installing space3=60mm, oblique line section Root to spring end points apart from l2M=LM-l3=540mm, elastic modulus E=200GPa;The end of the 1st flat spring is straight The thickness h of section1M1=8mm, the thickness of oblique line section compares β1=h1M1/h2M=0.67;The thickness of the end flat segments of the 2nd flat spring h1M2=7mm, the thickness of oblique line section compares β2=h1M2/h2M=0.58.Half P=2100N of the spring rated load, leaf spring Remaining tangent line camber design requirement value H under rated loadm=28mm, few piece oblique line shape steel plate bullet of grade structure non-to the end The camber of spring is designed.
Using with the identical method for designing of embodiment one and step, the camber to few piece bias type variable-section steel sheet spring It is designed, comprises the following steps that:
(1) each flat spring end points deformation coefficient G of oblique line steel plate spring under end points stressing conditionsx-DiCalculating:
According to half length L of few piece bias type variable-section steel sheet springM=600mm, width b=60mm, installing space Half l3=60mm, oblique line root is to spring end points apart from l2M=540mm, E=200GPa, the oblique line section of the 1st flat spring Thickness compare β1The thickness of the oblique line section of the=0.67, the 2nd flat spring compares β2=0.58, to end points stressing conditions under the 1st, the 2nd Deformation coefficient G of the flat spring at end pointsx-D1、Gx-D2Calculated, i.e.,
(2) End Force F suffered by the oblique line steel plate spring head flat springs under rated load1Calculating:
I steps:According to root thickness h of few piece bias type variable-section steel sheet spring2MCalculate in=12mm, and step (1) The G for obtainingx-D1=101.35mm4/N、Gx-D2=110.16mm4/ N, determine the 1st, the 2nd flat spring in the clamp state one Half stiffness KM1、KM2, i.e.,
II steps:Half rated load P=2100N according to suffered by few piece bias type variable-section steel sheet spring, spring leaf Number N=2, and
K determined by I stepsM1=17.05N/mm, KM2=15.69N/mm, to End Force F suffered by first flat spring1Enter Row is calculated, i.e.,
(3) the bias type spring end deformation f under rated loadDCalculating:
The K according to determined by I steps in step (2)M1F determined by in=17.05N/mm, and II steps1= 1093.60N, the Leading Edge Deformation f to the leaf spring under rated loadDCalculated, i.e.,
(4) design of few piece oblique line steel plate spring initial tangential camber of the non-grade structure in end:
According to remaining tangent line camber design requirement value H under rated loadmCalculated f in=28mm, and step (3)D =64.14mm, determines the initial tangential camber of each flat spring, i.e.,
Hc1=Hm+fD=92.14mm;
Hc2=Hm+fD=92.14mm.
Tested by prototype test, the tangent line camber design load of spring is reliable, the non-grade structure in end can be met The design requirement of few remaining tangent line camber of the piece oblique line steel plate spring under rated load, as a result shows what the invention was provided The method for designing of few piece oblique line steel plate spring camber of the non-grade structure in end is correct, and parameter design value is accurately and reliably.

Claims (1)

1. end it is non-wait structure few piece oblique line steel plate spring camber method for designing, wherein, end it is non-wait structure few piece oblique line The thickness and length of non-grade structure, i.e. the 1st flat spring end flat segments in end of each flat spring of type variable-section steel sheet spring, more than it He each thickness and length;Structural parameters, elastic modelling quantity, rated load and the residue under rated load in each flat spring In the case of tangent line camber design requirement value is given, the initial tangential camber of few piece oblique line steel plate spring of the structure such as non-to end is entered Row design, specific design step is as follows:
(1) each flat spring end points deformation coefficient G of oblique line steel plate spring under end points stressing conditionsx-DiCalculating:
According to half length L of few piece bias type variable-section steel sheet springM, width b, half l of installing space3, oblique line root arrives Spring end points apart from l2M, elastic modulus E, the thickness of the oblique line section of the i-th flat spring compares βi, wherein, i=1,2 ..., N, N are bullet Reed number, to end points stressing conditions under deformation coefficient G of each flat spring at end pointsx-DiCalculated, i.e.,
G x - D i = 4 E b [ ( L M - l 3 / 2 ) 3 - l 2 M 3 ] + 6 l 2 M 3 ( β i + 1 ) 2 [ 3 ( β i - 1 ) - 2 lnβ i ( 1 + β i ) ] E b + 4 β i 3 l 2 M 3 E b ;
(2) End Force F suffered by the oblique line steel plate spring head flat springs under rated load1Calculating:
I steps:According to root thickness h of few piece bias type variable-section steel sheet spring2M, and calculated G in step (1)x-Di, Determine each flat spring half stiffness K in the clamp stateMi, i.e.,
K M i = h 2 M 3 G x - D i ;
Wherein, i=1,2 ..., N, N are number of spring leaf;
II steps:Half rated load P according to suffered by few piece bias type variable-section steel sheet spring, number of spring leaf N, and I steps In determined by KMi, to End Force F suffered by first flat spring1Calculated, i.e.,
F 1 = K M 1 P Σ i = 1 N K M i ;
(3) the bias type spring end deformation f under rated loadDCalculating:
The K according to determined by I steps in step (2)M1, and F determined by II steps1, to the leaf spring under rated load Leading Edge Deformation fDCalculated, i.e.,
f D = F 1 K M 1 ;
(4) design of few piece oblique line steel plate spring initial tangential camber of the non-grade structure in end:
According to remaining tangent line camber design requirement value H under rated loadm, and calculated f in step (3)D, determine each The initial tangential camber of spring, i.e.,
Hci=Hm+fD
Wherein, i=1,2 ..., N, N are number of spring leaf.
CN201610907513.XA 2016-10-18 2016-10-18 The design method of few piece oblique line steel plate spring camber of the non-grade structures in end Expired - Fee Related CN106641054B (en)

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Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3672656A (en) * 1969-08-01 1972-06-27 Nissan Motor Multi-leaf spring for automotive suspension
CN2273664Y (en) * 1996-06-15 1998-02-04 平顶山煤业(集团)有限责任公司 Composite spring suspension for light wt. automobile
CN102734364A (en) * 2012-07-17 2012-10-17 山东理工大学 Analytical design method of camber and surface shape of automobile plate spring
CN105550483A (en) * 2016-02-23 2016-05-04 山东恒日悬架弹簧有限公司 End-heterogeneous taper slanting leaf spring with variable cross-section
CN105653883A (en) * 2016-03-15 2016-06-08 周长城 Method for checking useful load of auxiliary springs of non-end contact diagonal main and auxiliary spring
CN105843988A (en) * 2016-03-15 2016-08-10 周长城 Checking calculation method of auxiliary spring working load of end part contact-type diagonal type main and auxiliary springs

Patent Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3672656A (en) * 1969-08-01 1972-06-27 Nissan Motor Multi-leaf spring for automotive suspension
CN2273664Y (en) * 1996-06-15 1998-02-04 平顶山煤业(集团)有限责任公司 Composite spring suspension for light wt. automobile
CN102734364A (en) * 2012-07-17 2012-10-17 山东理工大学 Analytical design method of camber and surface shape of automobile plate spring
CN105550483A (en) * 2016-02-23 2016-05-04 山东恒日悬架弹簧有限公司 End-heterogeneous taper slanting leaf spring with variable cross-section
CN105653883A (en) * 2016-03-15 2016-06-08 周长城 Method for checking useful load of auxiliary springs of non-end contact diagonal main and auxiliary spring
CN105843988A (en) * 2016-03-15 2016-08-10 周长城 Checking calculation method of auxiliary spring working load of end part contact-type diagonal type main and auxiliary springs

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