CN106678224A - Simulation checking calculation method for maximum limiting deflection of equal-gradual-change offset frequency two-stage-gradual-change rigidity plate springs - Google Patents
Simulation checking calculation method for maximum limiting deflection of equal-gradual-change offset frequency two-stage-gradual-change rigidity plate springs Download PDFInfo
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F3/00—Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic
- F16F3/02—Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic with springs made of steel or of other material having low internal friction
- F16F3/023—Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic with springs made of steel or of other material having low internal friction composed only of leaf springs
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F1/00—Springs
- F16F1/02—Springs 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
- F16F1/18—Leaf springs
- F16F1/185—Leaf springs characterised by shape or design of individual leaves
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F1/00—Springs
- F16F1/02—Springs 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
- F16F1/18—Leaf springs
- F16F1/26—Attachments or mountings
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F2230/00—Purpose; Design features
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F2230/00—Purpose; Design features
- F16F2230/0023—Purpose; Design features protective
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F2238/00—Type of springs or dampers
- F16F2238/02—Springs
- F16F2238/022—Springs leaf-like, e.g. of thin, planar-like metal
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Abstract
The invention relates to a simulation checking calculation method for maximum limiting deflection of equal-gradual-change offset frequency two-stage-gradual-change rigidity plate springs and belongs to the technical field of vehicle suspension steel plate springs. According to structural parameters of each main spring and each auxiliary spring, elasticity modulus, maximum allowable stress, the initial tangent-line arc-height design values of the main springs and the initial tangent-line arc-height design values of the first-stage auxiliary springs and the second-stage auxiliary springs, the maximum limiting deflection of the equal-gradual-change offset frequency two-stage-gradual-change rigidity plate springs is subjected to simulation checking calculation. Through simulation and prototype testing test verification, it is known that the simulation checking calculation method for the maximum limiting deflection of the equal-gradual-change offset frequency two-stage-gradual-change rigidity plate springs is correct. By utilizing the simulation checking calculation method, the accurate reliable simulation checking calculation value of the maximum limiting deflection can be obtained, the maximum limiting deflection is ensured, and a limiting device meets the design requirements, so that the design level, the property, the service life and the riding comfort and safety of vehicles of products are improved; and meanwhile, designing and testing cost is lowered, and the product developing speed is accelerated.
Description
Technical field
The present invention relates to vehicle suspension leaf spring, particularly waits the maximum spacing amount of deflection of gradual change offset frequency two-stage progressive rate leaf spring
Emulation checking method.
Background technology
With the appearance of high strength steel panel material, vehicle suspension can using etc. gradual change offset frequency two-stage progressive rate leaf spring, from
And further meet the constant design requirement of the vehicle ride performance under different loads and the holding of suspension gradual change offset frequency, its
In, the maximum spacing amount of deflection of progressive rate leaf spring, is the foundation for arranging stopping means, for the grade gradual change offset frequency of given design structure
Can two-stage progressive rate leaf spring, stopping means really shield to leaf spring, prevent from rupturing because being hit, it is necessary to which
Maximum spacing amount of deflection carries out emulation checking computations.Due to main spring amount of deflection not only with main spring and the structural parameters of one-level auxiliary spring and two grades of auxiliary springs
It is relevant with load, it is also relevant with each contact load, and the contact length and progressive rate in gradual change contact process all with
Load and change, therefore, wait the main spring amount of deflection of gradual change offset frequency two-stage progressive rate leaf spring to calculate extremely complex.And set for given
The maximum spacing amount of deflection simulation calculation for waiting gradual change offset frequency two-stage progressive rate leaf spring of meter structure, except the calculating of acceptor's spring amount of deflection
Outside restriction, also restricted by contact load and maximum allowable load simulation calculation this key issue, understood according to consult reference materials,
Predecessor State is inside and outside not to provide the emulation checking method for waiting the spacing amount of deflection of gradual change offset frequency two-stage progressive rate leaf spring maximum always.With car
Travel speed and its continuous improvement required by ride comfort, reciprocity gradual change offset frequency two-stage progressive rate plate spring suspension system design
Requirements at the higher level are proposed, therefore, it is necessary to it is spacing to set up the gradual change offset frequency two-stage progressive rate leaf spring maximum such as a kind of accurate, reliable
The emulation checking method of amount of deflection, meets fast-developing Vehicle Industry, vehicle ride performance and safety and its reciprocity gradual change offset frequency
The design of two-stage progressive rate leaf spring and the requirement of characteristic Simulation, improve design level, quality and the vehicle traveling smooth-going of product
Property and safety；Meanwhile, design and testing expenses can be also reduced, accelerates 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,
The reliable emulation checking method for waiting the maximum spacing amount of deflection of gradual change offset frequency two-stage progressive rate leaf spring, emulation checking computations flow chart, such as Fig. 1
It is shown.High-strength steel sheet is adopted etc. each leaf spring of offset frequency two-stage progressive rate leaf spring, width is b, elastic modelling quantity is E, each
Leaf spring be with the symmetrical structure at central bolt mounting hole center, its install clamp away from half L0For U-bolts clamp away from half
L0；Half symmetrical structure Deng gradual change offset frequency two-stage progressive rate leaf spring is as shown in Fig. 2 by main spring 1, first order auxiliary spring 2 and
Two grades of auxiliary springs 3 are constituted, wherein, the piece number of main spring 1 is n, and the thickness of each of main spring is hi, half action length is LiT, half folder
Tight length is Li=LiT-L0/ 2, i=1,2 ..., n.The piece number of first order auxiliary spring 2 is m1, the thickness that first order auxiliary spring is each is
hA1j, half action length is LA1jT, half clamping length is LA1j=LAjT-L0/ 2, j=1,2 ..., m1.Second level auxiliary spring 3
Piece number is m2, the thickness that second level auxiliary spring is each is hA2k, half action length is LA2kT, half clamping length is LA2k=LA2kT-
L0/ 2, k=1,2 ..., m2.First order gradual change gap between first upper surface of main spring tailpiece lower surface and first order auxiliary spring,
Second level gradual change gap between first upper surface of first order auxiliary spring tailpiece lower surface and second level auxiliary spring.By main spring,
Initial tangential camber H of one-level auxiliary spring and second level auxiliary springgM0、HgA10And HgA20Design, it is ensured that first order gradual change gap and
Two grades of gradual change gaps meet the 1st time and start contact load, start contact load and the 2nd full contact load, suspension etc. for the 2nd time
Gradual change offset frequency and rated load are left the high design requirement of cotangent bank.There is fracture because of being hit to prevent leaf spring, according to
According to maximum spacing deflection value, one stopping means are set, wherein, can stopping means really play position limitation protection effect to leaf spring, it is necessary to
Emulation checking computations are carried out to maximum spacing amount of deflection.According to the structural parameters of each leaf spring, elastic modelling quantity, rated load, main spring are initial
The initial camber design load of tangent line camber design load, first order auxiliary spring and second level auxiliary spring, the grade gradual change to giving design structure
The maximum spacing amount of deflection of offset frequency two-stage progressive rate leaf spring carries out emulation checking computations.
To solve above-mentioned technical problem, grade gradual change offset frequency two-stage progressive rate leaf spring maximum provided by the present invention is spacing to scratch
The emulation checking method of degree, it is characterised in that step is checked using following emulation：
Etc. (1) the upper and lower surface initial curvature radius in the two-stage gradual change gap of gradual change offset frequency two-stage progressive rate leaf spring is imitative
It is true to calculate：
I steps：Main spring tailpiece lower surface initial curvature radius RM0bCalculating
According to main spring initial tangential camber HgM0, main reed number n, the thickness h of each of main springi, i=1,2 ..., n, main spring are first
Half clamping length L of piece1, to main spring tailpiece lower surface initial curvature radius RM0bSimulation calculation is carried out, i.e.,
II steps：First upper surface initial curvature radius R of first order auxiliary springA10aSimulation calculation
According to first order auxiliary spring half clamping length L of firstA11, initial tangential camber H of first order auxiliary springgA10, it is determined that
First upper surface initial curvature radius R of first order auxiliary springA10a, i.e.,
III steps：First order auxiliary spring tailpiece lower surface initial curvature radius RA10bSimulation calculation
According to the piece number m of first order auxiliary spring1, the thickness h that first order auxiliary spring is eachA1j, j=1,2 ... m1, and in II steps
R obtained by simulation calculationA10a, to first order auxiliary spring tailpiece lower surface initial curvature radius RA10bSimulation calculation is carried out, i.e.,
IV steps：First upper surface initial curvature radius R of second level auxiliary springA20aSimulation calculation
According to second level auxiliary spring half clamping length L of firstA21, initial tangential camber H of second level auxiliary springgA20, to
First upper surface initial curvature radius R of two grades of auxiliary springsA20aSimulation calculation is carried out, i.e.,
(2) simulation calculation of the 1st and the 2nd beginning contact load of gradual change offset frequency two-stage progressive rate leaf spring such as：
Step A：Main spring and its calculating with the root lap equivalent thickness of the first order and second level auxiliary spring
According to main reed number n, the thickness h of each of main springi, i=1,2 ..., n；The piece number m of first order auxiliary spring1, first order pair
The thickness h that spring is eachA1j, j=1,2 ..., m1；The piece number m of second level auxiliary spring2, the thickness h that second level auxiliary spring is eachA2k, k=1,
2,…,m2；Equivalent thickness h to main spring root lapMe, and main spring and first order auxiliary spring and the root weight of second level auxiliary spring
The equivalent thickness h of folded partMA1eAnd hMA2eCalculated, i.e.,
Step B：1st beginning contact load Pk1Simulation calculation
According to the width b for waiting gradual change offset frequency two-stage progressive rate leaf spring, elastic modulus E；The half of first of main spring clamp across
Length L1, the R that simulation calculation is obtained in step (1)M0bAnd RA10a, and calculated h in step AMe, start contact to the 1st time
Load pk1Simulation calculation is carried out, i.e.,
Step C：2nd beginning contact load Pk2Simulation calculation
According to the width b of high intensity two-stage leaf spring with gradually changing stiffness, elastic modulus E；The half of first main spring clamp across
Length L1；R in step (1) obtained by simulation calculationA10bAnd RA20a, calculated h in step AMA1e, it is resulting in step B
Pk1, to the 2nd beginning contact load Pk2Simulation calculation is carried out, i.e.,
D steps：2nd full contact load pw2Simulation calculation
According to main spring and the compound clamping stiffness K of first order auxiliary springMA1, the total compound clamping stiffness K of major-minor springMA2, step C
The P that middle simulation calculation is obtainedk2, to the 2nd full contact load pw2Simulation calculation is carried out, i.e.,
(3) the maximum allowable load p of gradual change offset frequency two-stage progressive rate leaf spring such asmaxDetermination：
A steps：The thickness h of the maximum gauge leaf spring of main springmaxDetermination
According to main reed number n, the thickness h of each of main springi, i=1,2 ..., n determine the thickness of the maximum gauge leaf spring of main spring
Degree hmax, i.e.,
hmax=max (hi), i=1,2 ..., n；
B step：Maximum allowable load pmaxDetermination
According to the width b for waiting the high two-stage progressive rate leaf spring of gradual change offset frequency, maximum permissible stress [σ]；The one of first main spring
Half clamping length L1, resulting h in step (2)Me、hMA1eAnd hMA2e, and Pk1And Pk2, h determined by a stepsmax, equity
The maximum allowable load p of the high two-stage progressive rate leaf spring of gradual change offset frequencymaxCalculated, i.e.,
(4) the emulation checking computations of the maximum spacing amount of deflection of gradual change offset frequency two-stage progressive rate leaf spring such as：
Stiffness K is clamped according to main springM, the compound clamping stiffness K of main spring and first order auxiliary springMA1, the total compound folder of major-minor spring
Tight stiffness KMA2, the P that simulation calculation is obtained in step (2)k1、Pk2And Pw2, and the P that simulation calculation is obtained in step (3)max, equity
The maximum spacing amount of deflection of gradual change offset frequency two-stage progressive rate leaf spring carries out emulation checking computations, i.e.,
The present invention is had the advantage that than prior art
Checking computations for giving the maximum spacing amount of deflection for waiting gradual change offset frequency two-stage progressive rate leaf spring of design structure, due to
The calculating of acceptor's spring amount of deflection, maximum allowable load and contact load emulate the restriction of key issue, and predecessor State is inside and outside not to be given always
The checking method of maximum spacing amount of deflection.The present invention can be according to each of main spring and the structural parameters of auxiliary spring, elastic modelling quantity, allowable stress,
Main spring initial tangential camber design load, the first order and the initial camber design load of second level auxiliary spring, first to contact load and maximum
Allowable load carries out simulation calculation, then, on this basis, using amount of deflection analytical Calculation mathematical model, reciprocity gradual change offset frequency two
The maximum spacing amount of deflection of level progressive rate leaf spring carries out emulation checking computations.By simulation calculation and prototype test, institute of the present invention
The emulation checking method for waiting the maximum spacing amount of deflection of gradual change offset frequency two-stage progressive rate leaf spring of offer is correct, for given design
The grade gradual change offset frequency two-stage progressive rate leaf spring of structure, can carry out emulation checking computations, and standard is obtained to its maximum spacing amount of deflection
Really reliable maximum spacing amount of deflection emulates checking computations value, provides reliable technical method for maximum spacing amount of deflection simulating, verifying.Profit
Can ensure that the maximum spacing amount of deflection of leaf spring meets design requirement with the method, and one stopping means be set according to maximum spacing amount of deflection,
Protection leaf spring rupture because being hit, so as to improve product design level, quality, service life and vehicle ride performance and
Safety；Meanwhile, design and testing expenses can be also 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.
The emulation checking computations flow chart of the maximum spacing amount of deflection of gradual change offset frequency two-stage progressive rate leaf spring such as Fig. 1 is；
The half symmetrical structure schematic diagram of the gradual change offset frequency two-stage progressive rate leaf spring such as Fig. 2 is；
Fig. 3 is the load deflexion characteristic for waiting gradual change offset frequency two-stage progressive rate leaf spring obtained by the simulation calculation of embodiment
Curve and maximum spacing deflection design value.
Specific embodiment
The present invention is described in further detail below by embodiment.
Embodiment：Certain wait gradual change offset frequency two-stage progressive rate leaf spring width b=63mm, U-bolts clamp away from half
L0=50mm, elastic modulus E=200GPa, maximum permissible stress [σ]=1200MPa.The total tablet number of major-minor spring is N=5, its
In, main reed number n=2 pieces, the thickness h of each of main spring1=h2=8mm, the half action length of each of main spring are respectively L1T=
525mm, L2T=450mm；Half clamping length is respectively L1=L1T-L0/ 2=500mm, L2=L2T-L0/ 2=425mm；Main spring
Initial tangential camber design load HgM0=112.2mm.The piece number m of first order auxiliary spring1=1, thickness hA11=11mm, half make
It is L with lengthA11T=360mm, half clamping length LA11=LA11T-L0/ 2=335mm；The initial tangential camber of first order auxiliary spring
Design load HgA10=22.8mm.The piece number m of second level auxiliary spring2=2, the thickness h that second level auxiliary spring is eachA21=hA22=11mm,
Half action length is respectively LA21T=250mm, LA22T=155mm；Half clamping length distinguishes LA21=LA21T-L0/ 2=
225mm, LA22=LA22T-L0/ 2=130mm.Main spring clamps stiffness KMThe compound folder of=51.44N/mm, main spring and first order auxiliary spring
Tight stiffness KMA1=112.56N/mm, the total compound of major-minor spring clamp stiffness KMA2=181.86N/mm.The leaf spring it is maximum spacing
Amount of deflection design load fMmax=165.5mm.According to each of main spring and the structural parameters of auxiliary spring, elastic modelling quantity, maximum permissible stress are main
The initial tangential camber design load of spring and auxiliary spring at different levels, the maximum spacing amount of deflection to the grade gradual change offset frequency two-stage progressive rate leaf spring
Carry out emulation checking computations.
What present example was provided waits the emulation checking method of the maximum spacing amount of deflection of gradual change offset frequency two-stage progressive rate leaf spring,
Its emulation checking computations flow process is as shown in figure 1, concrete emulation checking computations step is as follows：
Etc. (1) the upper and lower surface initial curvature radius in the two-stage gradual change gap of gradual change offset frequency two-stage progressive rate leaf spring is imitative
It is true to calculate：
I steps：Main spring tailpiece lower surface initial curvature radius RM0bSimulation calculation
According to main spring initial tangential camber HgM0=112.2mm, main reed number n=2, the thickness h of each of main springi=8mm, i
=1,2 ..., n, half clamping length L of first of main spring1=500mm, to main spring tailpiece lower surface initial curvature radius RM0bEnter
Row simulation calculation,
II steps：First upper surface initial curvature radius R of first order auxiliary springA10aSimulation calculation
According to first order auxiliary spring half clamping length L of firstA11=335mm, the initial tangential camber of first order auxiliary spring set
Evaluation HgA10=22.8mm, to first upper surface initial curvature radius R of first order auxiliary springA10aSimulation calculation is carried out, i.e.,
III steps：First order auxiliary spring tailpiece lower surface initial curvature radius RA10bSimulation calculation
According to the piece number m of first order auxiliary spring1=1, thickness hA11R in=13mm, and II steps obtained by simulation calculationA10a
=2472.5mm, to first order auxiliary spring tailpiece lower surface initial curvature radius RA10bSimulation calculation is carried out, i.e.,
RA10b=RA10a+hA11=2483.5mm；
IV steps：First upper surface initial curvature radius R of second level auxiliary springA20aSimulation calculation
According to second level auxiliary spring half clamping length L of firstA21=225mm, the initial tangential camber of second level auxiliary spring set
Evaluation HgA20=4.4mm, to first upper table radius of curvature R of second level auxiliary springA20aSimulation calculation is carried out, i.e.,
(2) simulation calculation of the 1st and the 2nd beginning contact load of gradual change offset frequency two-stage progressive rate leaf spring such as：
Step A：Main spring and its calculating with the root lap equivalent thickness of the first order and second level auxiliary spring
According to main reed number n=2, the thickness h of each of main spring1=h2=8mm；The piece number m of first order auxiliary spring1=1, thickness
hA11=11mm；The piece number m of second level auxiliary spring2=2, the thickness h of eachA21=hA22=11mm；To main spring root lap
Equivalent thickness hMe, and main spring and first order auxiliary spring and second level auxiliary spring root lap equivalent thickness hMA1eAnd hMA2eEnter
Row is calculated, i.e.,
Step B：1st beginning contact load Pk1Simulation calculation
According to the width b=63mm for waiting gradual change offset frequency two-stage progressive rate leaf spring, elastic modulus E=200GPa；Main spring is first
The half of piece clamps span length degree L1=500mm, the R that simulation calculation is obtained in step (1)M0b=1186mm and RA10a=
Calculated h in 2472.5mm, and step AMe=10.1mm, to the 1st beginning contact load Pk1Simulation calculation is carried out, i.e.,
Step C：2nd beginning contact load Pk2Simulation calculation
According to the width b=63mm of high intensity two-stage leaf spring with gradually changing stiffness, elastic modulus E=200GPa；First master
The half of spring clamps span length degree L1=500mm, the R in step (1) obtained by simulation calculationA10b=2483.5mm and RA20a=
5755mm, calculated h in step AMAe=13.3mm, the P that simulation calculation is obtained in step Bk1=1886.3N, to the 2nd time
Start contact load Pk2Simulation calculation is carried out, i.e.,
D steps：2nd full contact load pw2Simulation calculation
According to main spring and the compound clamping stiffness K of first order auxiliary springMA1=112.56N/mm, the total compound of major-minor spring are clamped
Stiffness KMA2=181.86N/mm, the P that simulation calculation is obtained in step Ck2=4150.3N, to the 2nd full contact load pw2Enter
Row simulation calculation, i.e.,
(3) the maximum allowable load p of gradual change offset frequency two-stage progressive rate leaf spring such asmaxDetermination：
A steps：The thickness h of main spring maximum gauge leaf springmaxDetermination
According to main reed number n=2, the thickness h of each of main spring1=h2=8mm, determines the thickness of the maximum gauge leaf spring of main spring
Degree hmax, i.e.,
hmax=max (h1, h2)=8mm；
B step：Maximum allowable load pmaxDetermination
According to the width b=63mm for waiting the high two-stage progressive rate leaf spring of gradual change offset frequency, maximum permissible stress [σ]=
1200MPa；Half clamping length L of first main spring1=500mm, calculated h in step (2)Me=10.1mm and hMA1e=
13.3mm, hMA2e=17.1mm, and the P that simulation calculation is obtainedk1=1886.3N and Pk2Determined by in=4150.3N, a step
Main spring maximum gauge leaf spring thickness hmax=8mm, the maximum allowable load to the high two-stage progressive rate leaf spring of grade gradual change offset frequency
PmaxCalculated, i.e.,
(4) the emulation checking computations of the maximum spacing amount of deflection of gradual change offset frequency two-stage progressive rate leaf spring such as：
Stiffness K is clamped according to main springMThe compound clamping stiffness K of=51.44N/mm, main spring and first order auxiliary springMA1=
112.56N/mm, the total compound of major-minor spring clamp stiffness KMA2=181.86N/mm, the P that simulation calculation is obtained in step (2)k1=
1886.3N、Pk2=4150.3N and Pw2The P that simulation calculation is obtained in=6705.7N, and step (3)max=21694N, to this etc.
The maximum spacing amount of deflection of gradual change offset frequency two-stage progressive rate leaf spring carries out emulation checking computations, i.e.,
Using Matlab calculation procedures, the load for waiting gradual change offset frequency two-stage progressive rate leaf spring obtained by simulation calculation is scratched
Degree characteristic curve and maximum spacing deflection design value, as shown in figure 3, wherein, in maximum allowable load pmaxUnder=21694N most
Big spacing amount of deflection fMmax=165.7mm, original design value f with the grade gradual change offset frequency two-stage progressive rate leaf springMmax=165.5mm
Match, i.e. the maximum spacing amount of deflection design load of the leaf spring be it is reliable, meanwhile, illustrate provided by the present invention to wait gradual change offset frequency two
The emulation checking method of the maximum spacing amount of deflection of level progressive rate leaf spring is correct.
Tested by model machine load deflection, in maximum spacing amount of deflection simulation calculation value and experimental test validation value kissing
Close, show that the emulation checking method for waiting the maximum spacing amount of deflection of gradual change offset frequency two-stage progressive rate leaf spring provided by the present invention is correct
, the maximum spacing deflection design to wait gradual change offset frequency two-stage progressive rate leaf spring provides reliable technical method.Using this
Method can ensure that the maximum spacing amount of deflection of leaf spring meets design requirement, so as to improve design level, quality and the vehicle row of product
Sail ride comfort and safety；Meanwhile, design and testing expenses are reduced, accelerates product development speed.
Claims (1)
1. the emulation checking method of the maximum spacing amount of deflection of grade gradual change offset frequency two-stage progressive rate leaf spring, wherein, leaf spring adopts high intensity
Steel plate, each leaf spring be with center mounting hole symmetrical structure, install clamp away from half be U-bolts clamp away from half；
Leaf spring is made up of main spring and two-stage auxiliary spring, by initial tangential camber and the two-stage gradual change gap of main spring and two-stage auxiliary spring, it is ensured that
Leaf spring meets the requirement that contact load, progressive rate and suspension offset frequency keep constant, that is, wait gradual change offset frequency type high intensity two-stage gradually
Variation rigidity leaf spring；Meanwhile, one stopping means are set according to maximum spacing amount of deflection, are played position limitation protection effect to leaf spring, is prevented because receiving
Impact and rupture, improve leaf spring reliability and service life；According to the structural parameters of each leaf spring, elastic modelling quantity, maximum allowable
Stress, the initial tangential camber of main spring, and the initial tangential camber of the first order and second level auxiliary spring, reciprocity gradual change offset frequency two-stage is gradually
The maximum spacing amount of deflection of variation rigidity leaf spring carries out emulation checking computations, and concrete emulation checking computations step is as follows：
(1) the emulation meter of the upper and lower surface initial curvature radius in the two-stage gradual change gap of gradual change offset frequency two-stage progressive rate leaf spring such as
Calculate：
I steps：Main spring tailpiece lower surface initial curvature radius RM0bCalculating
According to main spring initial tangential camber HgM0, main reed number n, the thickness h of each of main springi, i=1,2 ..., n, first of main spring
Half clamping length L1, to main spring tailpiece lower surface initial curvature radius RM0bSimulation calculation is carried out, i.e.,
II steps：First upper surface initial curvature radius R of first order auxiliary springA10aSimulation calculation
According to first order auxiliary spring half clamping length L of firstA11, initial tangential camber H of first order auxiliary springgA10, determine first
Level first upper surface initial curvature radius R of auxiliary springA10a, i.e.,
III steps：First order auxiliary spring tailpiece lower surface initial curvature radius RA10bSimulation calculation
According to the piece number m of first order auxiliary spring1, the thickness h that first order auxiliary spring is eachA1j, j=1,2 ... m1, and emulate in II steps
R obtained by calculatingA10a, to first order auxiliary spring tailpiece lower surface initial curvature radius RA10bSimulation calculation is carried out, i.e.,
IV steps：First upper surface initial curvature radius R of second level auxiliary springA20aSimulation calculation
According to second level auxiliary spring half clamping length L of firstA21, initial tangential camber H of second level auxiliary springgA20, to the second level
First upper surface initial curvature radius R of auxiliary springA20aSimulation calculation is carried out, i.e.,
(2) simulation calculation of the 1st and the 2nd beginning contact load of gradual change offset frequency two-stage progressive rate leaf spring such as：
Step A：Main spring and its calculating with the root lap equivalent thickness of the first order and second level auxiliary spring
According to main reed number n, the thickness h of each of main springi, i=1,2 ..., n；The piece number m of first order auxiliary spring1, first order auxiliary spring is each
The thickness h of pieceA1j, j=1,2 ..., m1；The piece number m of second level auxiliary spring2, the thickness h that second level auxiliary spring is eachA2k, k=1,2 ...,
m2；Equivalent thickness h to main spring root lapMe, and main spring and first order auxiliary spring and the root overlapping portion of second level auxiliary spring
The equivalent thickness h for dividingMA1eAnd hMA2eCalculated, i.e.,
Step B：1st beginning contact load Pk1Simulation calculation
According to the width b for waiting gradual change offset frequency two-stage progressive rate leaf spring, elastic modulus E；The half of first of main spring clamps span length's degree
L1, the R that simulation calculation is obtained in step (1)M0bAnd RA10a, and calculated h in step AMe, to the 1st beginning contact load
Pk1Simulation calculation is carried out, i.e.,
Step C：2nd beginning contact load Pk2Simulation calculation
According to the width b of high intensity two-stage leaf spring with gradually changing stiffness, elastic modulus E；The half of first main spring clamps span length's degree
L1；R in step (1) obtained by simulation calculationA10bAnd RA20a, calculated h in step AMA1e, in step B obtained by
Pk1, to the 2nd beginning contact load Pk2Simulation calculation is carried out, i.e.,
D steps：2nd full contact load pw2Simulation calculation
According to main spring and the compound clamping stiffness K of first order auxiliary springMA1, the total compound clamping stiffness K of major-minor springMA2, imitate in step C
Very calculated Pk2, to the 2nd full contact load pw2Simulation calculation is carried out, i.e.,
(3) the maximum allowable load p of gradual change offset frequency two-stage progressive rate leaf spring such asmaxDetermination：
A steps：The thickness h of the maximum gauge leaf spring of main springmaxDetermination
According to main reed number n, the thickness h of each of main springi, i=1,2 ..., n determine the thickness of the maximum gauge leaf spring of main spring
hmax, i.e.,
hmax=max (hi), i=1,2 ..., n；
B step：Maximum allowable load pmaxDetermination
According to the width b for waiting the high two-stage progressive rate leaf spring of gradual change offset frequency, maximum permissible stress [σ]；The half folder of first main spring
Tight length L1, resulting h in step (2)Me、hMA1eAnd hMA2e, and Pk1And Pk2, h determined by a stepsmax, reciprocity gradual change
The maximum allowable load p of the high two-stage progressive rate leaf spring of offset frequencymaxCalculated, i.e.,
(4) the emulation checking computations of the maximum spacing amount of deflection of gradual change offset frequency two-stage progressive rate leaf spring such as：
Stiffness K is clamped according to main springM, the compound clamping stiffness K of main spring and first order auxiliary springMA1, the total compound clamping of major-minor spring is just
Degree KMA2, the P that simulation calculation is obtained in step (2)k1、Pk2And Pw2, and the P that simulation calculation is obtained in step (3)max, reciprocity gradual change
The maximum spacing amount of deflection of offset frequency two-stage progressive rate leaf spring carries out emulation checking computations, i.e.,
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| JPS60132141A (en) * | 1983-12-20 | 1985-07-15 | Nhk Spring Co Ltd | Fiber reinforced plastic laminated spring device |
| KR20070032591A (en) * | 2005-09-16 | 2007-03-22 | 현대자동차주식회사 | Leaf Spring System |
| CN201621219U (en) * | 2009-07-22 | 2010-11-03 | 长沙福田汽车科技有限公司 | Front leaf spring for engineering vehicles |
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