CN105526290B - Design method of the few main spring of piece of bias type in end flat segments Yu auxiliary spring gap - Google Patents
Design method of the few main spring of piece of bias type in end flat segments Yu auxiliary spring gap Download PDFInfo
- Publication number
- CN105526290B CN105526290B CN201610140850.0A CN201610140850A CN105526290B CN 105526290 B CN105526290 B CN 105526290B CN 201610140850 A CN201610140850 A CN 201610140850A CN 105526290 B CN105526290 B CN 105526290B
- Authority
- CN
- China
- Prior art keywords
- mrow
- spring
- msub
- main spring
- msubsup
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Classifications
-
- 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
- F16F1/20—Leaf springs with layers, e.g. anti-friction layers, or with rollers between the leaves
-
- 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
Abstract
The present invention relates to the few main spring of piece of bias type in the design method in end flat segments Yu auxiliary spring gap, belong to suspension leaf spring technical field.The present invention can be according to each main spring of bias type variable cross-section physical dimension, modulus of elasticity, it is first determined go out the end points deformation coefficient of each main spring, andNDeformation coefficient of the main spring of piece at end flat segments and auxiliary spring contact pointG x‑CD；Then, worked load according to auxiliary spring, the end points deformation coefficient of each main spring obtainsNThe end points power of the main spring of pieceF N ；Then, according toNThe root thickness of the main spring of pieceh 2、F N AndG x‑CD, major-minor spring gap of the main spring between end flat segments and auxiliary spring contact is designed.By simulating, verifying, the few main spring of piece variable cross-section of the available accurately and reliably bias type of Application way improves product design level and performance and vehicle ride comfort in the design load in end flat segments Yu auxiliary spring gap；Meanwhile, product development speed is accelerated in reduction design and testing expenses.
Description
Technical field
The present invention relates to the few main spring of piece of vehicle suspension leaf spring, particularly bias type in end flat segments and auxiliary spring gap
Design method.
Background technology
For few piece variable-section steel sheet spring, in order to meet the requirement of variation rigidity, major and minor spring is generally designed to, and
Pass through major and minor spring gap, it is ensured that after more than certain load, major and minor spring is contacted and cooperatively worked, and meets vehicle suspension
To the design requirement of leaf spring rigidity in the case of different loads.
Because the 1st of few main spring of piece variable cross-section its stress is complicated, vertical load is subjected to, while being carried also subject to reversing
Lotus and longitudinal loading, therefore, the end thickness of the 1st leaf spring designed by reality, generally than other each partially thick
Some, i.e., in actual design and production, mostly using few piece variable-section steel sheet spring of the non-grade structure in end.Piece change is cut less at present
Face leaf spring mainly has two types, and one kind is parabolic type, and another is bias type, wherein, Parabolic stress
For iso-stress, its stress loading is more reasonable than bias type.However, because the processing technology of parabolic type variable cross-section is complicated,
Complicated, expensive process equipment is needed, and the processing technology of bias type is simple, it is only necessary to simple equipment just can be processed, therefore,
Under the conditions of stress intensity is met, the variable-section steel sheet spring of bias type can be used.It is major and minor for few piece bias type variable cross-section
Spring, because the length of auxiliary spring is different, the contact position of auxiliary spring and main spring is also differed, can be divided into the contact of end flat segments and
The major and minor leaf spring of oblique line section contact.The few piece variable-section steel sheet spring of bias type of structure is waited because end is non-at an arbitrary position
Deformation calculates extremely complex, therefore, fails to provide the few main spring of piece of easy, accurate, reliable bias type always so far flat in end
Straight section and the design method in auxiliary spring gap.
Although previously once someone gives the design method of few piece bias type variable-section steel sheet spring, for example, Peng is not, Gao Jun
Zeng《Automobile engineering》, (volume 14) the 3rd phase in 1992, give the design and calculation method of Varied section leaf spring, this method
It is designed primarily directed to few piece bias type variable-section steel sheet spring of the structures such as end, its weak point is can not to meet end
The design requirement of few piece bias type variable-section steel sheet spring of the structure such as non-, can not meet few main spring of piece bias type variable cross-section at end
Portion's flat segments and the design in the major and minor spring gap at auxiliary spring contact point.Although current someone is once non-to end, the few piece for waiting structure is oblique
The main spring of line style variable cross-section is in the deformation of end flat segments, and using ANSYS modeling and simulating methods, but this method is only capable of to providing reality
The deformation of the variable-section steel sheet spring of design structure carries out simulating, verifying, it is impossible to provides accurate analytical design method formula, can not expire
Sufficient vehicle is fast-developing and the requirement of CAD design software development is modernized to suspension leaf spring.
Therefore, it is necessary to set up a kind of few main spring of piece variable cross-section of accurate, reliable bias type between end flat segments and auxiliary spring
The design method of gap, meets Vehicle Industry fast development and the requirement to suspension Precise Design for Laminated Spring, improves few piece change and cuts
The design level of face leaf spring, product quality and performances, improve vehicle ride performance；Meanwhile, reduction design and test fee
With quickening product development speed.
The content of the invention
For defect present in above-mentioned prior art, the technical problems to be solved by the invention be to provide it is a kind of easy,
The few main spring of piece of reliable bias type is in the design method in end flat segments Yu auxiliary spring gap, design flow diagram, as shown in Figure 1.Tiltedly
The few piece variable cross-section major-minor spring of line style is symmetrical structure, and the half symmetrical structure of spring, which can regard cantilever beam, i.e. symmetrical center line as, to be seen
Make the root fixing end of half spring, main spring end stress point and auxiliary spring contact are regarded as main spring end points and auxiliary spring end points respectively.
The half symmetrical structure schematic diagram of the few piece variable cross-section major-minor spring of bias type, as shown in Fig. 2 wherein, including：Main spring 1, root shim
2, auxiliary spring 3；End pad 4；The half length of main each of spring 1 is L, is by root flat segments, oblique line section, three sections of end flat segments
Constituted, the thickness of every root flat segments is h2, clipping room away from half be l3, oblique line section root to main spring end points away from
From l2=L-l3；The thickness and length of the end flat segments of the non-grade main spring of structure, i.e., the 1st of end flat segments of main each of spring 1, greatly
In other each thickness and length, the thickness and length of the end flat segments of each are respectively h1iAnd l1i；Each oblique line section
Thickness ratio βi=h1i/h2,i=1,2 ..., N, N are the piece number of main spring, and N is 2~4 integer；Each root flat segments of main spring 1
And be provided between the root flat segments of auxiliary spring 3 between root shim 2, each end flat segments of main spring 1 provided with end pad
4, the material of end pad is carbon fibre composite, to reduce frictional noise during spring works；The half length of auxiliary spring 3
For LA, i.e. horizontal range l of the auxiliary spring end points to main spring end points0=L-LA；The end flat segments of the main spring of N pieces and the end of auxiliary spring 3
Provided with certain major and minor spring gap delta between contact, when load works load more than auxiliary spring, auxiliary spring and main spring end are straight
Certain point is in contact in section.Risen in each chip architecture parameter of the main spring of bias type variable cross-section, material characteristic parameter, auxiliary spring length, auxiliary spring
In the case of used load is given, between few major-minor spring of the main spring of piece variable cross-section between end flat segments and auxiliary spring contact of bias type
Gap is designed.
In order to solve the above technical problems, the few main spring of piece of bias type provided by the present invention is in end flat segments and auxiliary spring gap
Design method, it is characterised in that use following design procedure：
(1) the end points deformation coefficient G of each main spring of bias type variable cross-sectionx-DiCalculate：
According to the half length L of few main spring of piece bias type variable cross-section, width b, elastic modulus E, the root of oblique line section is to leading
Spring end points apart from l2, main reed number N, wherein, the thickness ratio β of the oblique line section of i-th main springi, i=1,2 ..., N, to each tiltedly
The end points deformation coefficient G of the main spring of line style variable cross-sectionx-DiCalculated, i.e.,
Deformation coefficient G of (2) the N main springs of piece bias type variable cross-section at end flat segments and auxiliary spring contact pointx-CDCalculate：
According to the half length L of few main spring of piece bias type variable cross-section, width b, elastic modulus E, the root of oblique line section is to leading
Spring end points apart from l2, the horizontal range l of auxiliary spring contact and main spring end points0, main reed number N, wherein, the oblique line section of the main spring of N pieces
Thickness ratio βN, to deformation coefficient G of the N main springs of piece bias type variable cross-section at end flat segments and auxiliary spring contact pointx-CDCarry out
Calculate, i.e.,
(3) auxiliary spring works the end points power F of the main spring of N piece bias type variable cross-sections under loadNCalculate：
I steps：According to the thickness h of the root flat segments of few main spring of piece bias type variable cross-section2, main reed number N, and step
(1) the end points deformation coefficient G of each obtained main spring of bias type variable cross-section is calculated inx-Di, determine each bias type variable cross-section master
The half stiffness K of springMi, i.e.,
II steps：The half that load is played according to required auxiliary spring is single-ended point load P, main reed number N, and in I steps
The half stiffness K of the main spring of identified each bias type variable cross-sectionMi, the N pieces bias type under the load that worked to auxiliary spring, which becomes, to be cut
The end points power F of the main spring in faceNCalculated, i.e.,
In formula, KMNFor the half rigidity of the main spring of N piece bias type variable cross-sections；
(4) major-minor spring gap delta design of the main spring of bias type variable cross-section between end flat segments and auxiliary spring contact：
According to the thickness h of the root flat segments of the main spring of bias type variable cross-section2, calculate what is obtained in main reed number N, II step
The End Force F of the main spring of N piece bias type variable cross-sectionsN, and calculate in step (2) the obtained main spring of N pieces end flat segments with
Deformation coefficient G at auxiliary spring contact pointx-CD, to few main spring of piece bias type variable cross-section between end flat segments and auxiliary spring contact
Major-minor spring gap delta is designed, i.e.,
The present invention has the advantage that than prior art
Wait the few piece variable-section steel sheet spring of bias type of structure to deform at an arbitrary position because end is non-and calculate extremely complex, because
This, fails to provide design of the few main spring of piece of easy, accurate, reliable bias type in end flat segments and auxiliary spring gap so far always
Method.Although current someone is once non-to end, the few major and minor spring gap of piece variable cross-section of bias type for waiting structure uses ANSYS modeling and simulatings
Method, but the deformation that this method is only capable of few piece variable-section steel sheet spring to providing actual design structure carries out simulating, verifying, no
Accurate analytical design method formula can be provided, vehicle can not be met fast-developing and soft to suspension leaf spring modernization CAD design
The requirement of part exploitation.The present invention can lack physical dimension, the modulus of elasticity of the main spring of piece variable cross-section according to bias type, it is first determined go out each
Deformation coefficient of the main spring of piece bias type variable cross-section at end points, and change of the main springs of N at end flat segments and auxiliary spring contact point
Shape coefficient；Then, by deformation coefficient of each main spring at end points and Rigidity Calculation, obtain the main spring of N pieces and held in end points
The load received；Then, according to the root thickness of the main spring of N pieces, the load that the main spring of N pieces is born in end points, and it is flat in end
Straight section and the deformation coefficient at auxiliary spring contacting points position, are contacted to the few main spring of piece variable cross-section of bias type in end flat segments with auxiliary spring
Major and minor spring gap at point position is designed.By designing example and ANSYS simulating, verifyings, this method can obtain standard
Really, the few main spring of piece of reliable bias type, in the design load in end flat segments and auxiliary spring gap, is the few piece variable cross-section steel plates of bias type
The major and minor spring gap of spring provides reliable design method, and has established reliable technical foundation for CAD software exploitation.
Using this method, design level, the product quality and performances of vehicle suspension variable-section steel sheet spring are improved, bearing spring matter is reduced
Amount and cost, improve the conevying efficiency and driving safety of vehicle；Meanwhile, also reduction design and testing expenses are accelerated product and opened
Send out speed.
Brief 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 design flow diagram of the few main spring of piece variable cross-section of bias type in end flat segments Yu auxiliary spring gap；
Fig. 2 is the half symmetrical structure schematic diagram of the few piece variable cross-section major-minor spring of bias type；
Fig. 3 is the deformation simulation cloud atlas of few main spring of piece bias type variable-section steel sheet spring of embodiment one；
Fig. 4 is the deformation simulation cloud atlas of few main spring of piece bias type variable-section steel sheet spring of embodiment two.
Specific embodiment
The present invention is described in further detail below by embodiment.
Embodiment one：The piece number N=2 of certain main spring of few piece bias type variable cross-section, wherein, the half length L=of each main spring
575mm, width b=60mm, elastic modulus E=200GPa, the thickness h of root flat segments2=11mm, clipping room away from half l3
=55mm, oblique line section root to main spring end points apart from l2=L-l3=520mm；The thickness of the end flat segments of 1st main spring
h11The thickness ratio β of the oblique line section of the main spring of=7mm, i.e., the 1st1=h11/h2The thickness of the end flat segments of=0.64, the 2nd main spring
Spend h12The thickness ratio β of the oblique line section of the main spring of=6mm, i.e., the 2nd2=h12/h2=0.55；The half length L of auxiliary springA=465mm,
Auxiliary spring contact and the horizontal range l of main spring end points0=L-LA=110mm, auxiliary spring contact connects with certain point in the flat segments of main spring end
Touch.The required auxiliary spring of design works the i.e. single-ended point load P=1200N of half of load, to few piece bias type variable cross-section
Major-minor spring gap of the main spring between end flat segments and auxiliary spring contact is designed.
The few main spring of piece of bias type that present example is provided is in the design method in end flat segments Yu auxiliary spring gap, and it sets
Flow is counted as shown in figure 1, specific design step is as follows：
(1) the end points deformation coefficient G of each main spring of bias type variable cross-sectionx-DiCalculate：
According to the half length L=575mm of few main spring of piece bias type variable cross-section, width b=60mm, elastic modulus E=
200GPa, oblique line section root to main spring end points apart from l2=520mm, main reed number N=2, wherein, the 1st main spring it is oblique
The thickness ratio β of line segment1The thickness ratio β of the oblique line section of=0.64, the 2nd main spring2=0.55, to the end points of the 1st, the 2nd main spring
Deformation coefficient Gx-D1、Gx-D2It is respectively calculated, i.e.,
Deformation coefficient G of (2) the N main springs of piece bias type variable cross-section at end flat segments and auxiliary spring contact pointx-CDMeter
Calculate：
According to the half length L=575mm of few main spring of piece bias type variable cross-section, width b=60mm, elastic modulus E=
200GPa, oblique line section root to main spring end points apart from l2=520mm, main reed number N=2, wherein, the 2nd main spring it is oblique
The thickness ratio β of line segment2=0.55, horizontal range l of the auxiliary spring contact to main spring end points0=110mm, to the 2nd bias type variable cross-section
Deformation coefficient G of the main spring at end flat segments and auxiliary spring contact pointx-CDCalculated, i.e.,
(3) auxiliary spring works the end points power F of the 2nd main spring of bias type variable cross-section under load2Calculate：
I steps：According to the thickness h of the root flat segments of few main spring of piece bias type variable cross-section2=11mm, main reed number N=
Obtained G is calculated in 2, and step (1)x-D1=101.68mm4/ N and Gx-D2=109.72mm4/ N, determine the 1st, the 2nd tiltedly
The half stiffness K of the main spring of line style variable cross-sectionM1、KM2, it is respectively
II steps：Auxiliary spring according to required by design works the i.e. single-ended point load P=1200N of half of load, main spring
Piece number N=2, and K determined by I stepsM1=13.09N/mm and KM2Under=12.13N/mm, the load that worked to auxiliary spring
The end points power F of the 2nd main spring of bias type variable cross-section2Calculated, i.e.,
(4) major-minor spring gap delta design of the main spring of bias type variable cross-section between end flat segments and auxiliary spring contact：
According to the thickness h of the root flat segments of the main spring of bias type variable cross-section2In=11mm, main reed number N=2, II step
Calculate the end points power F of the 2nd obtained main spring2The 2nd obtained main spring is calculated in=577.16N, and step (2) flat in end
Straight section and the change figurate number G at auxiliary spring contact pointx-CD=70.06mm4/ N, to the main spring of bias type variable cross-section end flat segments with
Major-minor spring gap delta between auxiliary spring contact is designed, i.e.,
Using ANSYS finite element emulation softwares, according to each chip architecture parameter and material of the main spring of few piece bias type variable cross-section
Expect characterisitic parameter, set up the ANSYS simulation models of the half symmetrical structure of few main spring of piece bias type variable cross-section, grid division,
And apply fixed constraint in the root of simulation model, apply concentrfated load P=1200N in end points, few piece bias type is become and cut
The deformation progress ANSYS emulation of the main spring of face leaf spring, resulting deformation simulation cloud atlas, as shown in figure 3, wherein, the main spring
In deflection δ=30.58mm at end position 110mm.
Understand, under same load, ANSYS simulating, verifyings value δ=30.58mm of the main spring deflection of the leaf spring, with
Major-minor spring gap design load δ=30.38mm matches, and relative deviation is only 0.65%；As a result show that the invention is provided oblique
Few design method of the main spring of piece in end flat segments with auxiliary spring gap of line style is correct, and parameter design value is accurately and reliably.
Embodiment two：The piece number N=2 of certain main spring of few piece bias type variable cross-section, wherein, the half length L=of each main spring
600mm, width b=60mm, elastic modulus E=200GPa, the thickness h of root flat segments2=14mm, clipping room away from half l3
=60mm, oblique line section root to main spring end points apart from l2=L-l3=540mm；The thickness of the end flat segments of 1st main spring
h11The thickness ratio β of the oblique line section of the main spring of=9mm, i.e., the 1st1=h11/h2=0.64；The thickness of the end flat segments of 2nd main spring
Spend h12The thickness ratio β of the oblique line section of the main spring of=8mm, i.e., the 2nd2=h12/h2=0.57；The half length L of auxiliary springA=510mm,
Auxiliary spring contact and the horizontal range l of main spring end points0=L-LA=90mm, auxiliary spring contact connects with certain point in the flat segments of main spring end
Touch.The required auxiliary spring of design works the i.e. single-ended point load P=3000N of half of load, to few piece bias type variable cross-section
Major-minor spring gap of the main spring between end flat segments and auxiliary spring contact is designed.
Using with the identical design method of embodiment one and step, it is straight in end to few main spring of piece bias type variable cross-section
Gap between section and auxiliary spring contact is designed, and is comprised the following steps that：
(1) the end points deformation coefficient G of each main spring of bias type variable cross-sectionx-DiCalculate：
According to the half length L=600mm of few main spring of piece bias type variable cross-section, width b=60mm, elastic modulus E=
200GPa, oblique line section root to main spring end points apart from l2=540mm, main reed number N=2, wherein, the 1st main spring it is oblique
The thickness ratio β of line segment1The thickness ratio β of the oblique line section of=0.64, the 2nd main spring2=0.57, to the 1st, the 2nd main spring in end points
Deformation coefficient G at positionx-D1、Gx-D2It is respectively calculated, i.e.,
Deformation coefficient G of (2) the N main springs of piece bias type variable cross-section at end flat segments and auxiliary spring contact pointx-CDCalculate：
According to the half length L=600mm of few main spring of piece bias type variable cross-section, width b=60mm, elastic modulus E=
200GPa, oblique line section root to main spring end points apart from l2=540mm, main reed number N=2, wherein, the 2nd main spring it is oblique
The thickness ratio β of line segment2=0.57, the horizontal range l of auxiliary spring contact and main spring end points0=90mm, to the 2nd bias type variable cross-section
Deformation coefficient G of the main spring at end flat segments and auxiliary spring contact pointx-CDCalculated, i.e.,
(3) auxiliary spring works the end points power F of the 2nd main spring of bias type variable cross-section under load2Calculate：
I steps：According to the thickness h of the root flat segments of few main spring of piece bias type variable cross-section2=14mm, main reed number N=
G obtained by being calculated in 2, and step (1)x-D1=114.27mm4/N、Gx-D2=121.28mm4/ N, determines the 1st, the 2nd master
The half stiffness K of springM1、KM2, it is respectively
II steps：Half i.e. single-ended point load P=3000N, main reed number N=2, and the I for the load that worked according to auxiliary spring
K determined by stepM1=24.01N/mm and KM2The 2nd bias type under=22.63N/mm, the load that worked to auxiliary spring becomes
The end points power F of the main spring in section2Calculated, i.e.,
(4) major-minor spring gap delta design of the main spring of bias type variable cross-section between end flat segments and auxiliary spring contact：
According to the thickness h of the root flat segments of the main spring of bias type variable cross-section2In=14mm, main reed number N=2, II step
Calculate the end points power F of the 2nd obtained main spring2G obtained by being calculated in=1455.60N, and step (2)x-CD=87.05mm4/
N, is designed, i.e., to major and minor spring gap delta of few main spring of piece bias type variable cross-section between end flat segments and auxiliary spring contact
Using ANSYS finite element emulation softwares, according to each chip architecture parameter and material of the main spring of few piece bias type variable cross-section
Expect characterisitic parameter, set up the ANSYS simulation models of the half symmetrical structure of few main spring of piece bias type variable cross-section, grid division,
And apply fixed constraint in the root of simulation model, apply concentrfated load P=3000N in end points, few piece bias type is become and cut
The deformation progress ANSYS emulation of the main spring of face leaf spring, resulting deformation simulation cloud atlas, as shown in figure 4, wherein, the main spring
In deflection δ=46.31mm at end position 90mm.
Understand, under same load, ANSYS simulating, verifyings value δ=46.31mm of the main spring deflection of the leaf spring, with
Major-minor spring gap design load δ=46.18mm matches, and relative deviation is only 0.28%；As a result show that the invention is provided oblique
Few design method of the main spring of piece in end flat segments with auxiliary spring gap of line style is correct, and parameter design value is accurately and reliably.
Claims (1)
1. the few main spring of piece of bias type is in the design method in end flat segments Yu auxiliary spring gap, wherein, the variable cross-section of main spring is oblique line
Type, the half symmetrical structure of the main spring of the few piece of bias type is made up of three sections of root flat segments, oblique line section and end flat segments, and each
The thickness and length of non-grade structure, i.e. the end flat segments of the 1st main reed of end flat segments of main spring, more than other each main spring
The thickness and length of end flat segments；It is provided between the end flat segments of auxiliary spring contact and the main spring of N pieces between certain major-minor spring
Gap δ, is worked the design requirement of load with meeting auxiliary spring；It is long in each chip architecture parameter of main spring, material characteristic parameter, auxiliary spring
Degree, auxiliary spring work load it is given in the case of, to the few main spring of piece variable cross-section of bias type between end flat segments and auxiliary spring contact
Major-minor spring gap be designed, it is characterised in that using design procedure in detail below：
(1) the end points deformation coefficient G of each main spring of bias type variable cross-sectionx-DiCalculate：
According to half length L, the width b of few main spring of piece bias type variable cross-section, elastic modulus E, the root to main spring end of oblique line section
Point apart from l2, main reed number N, wherein, the thickness ratio β of the oblique line section of i-th main springi, i=1,2 ..., N, to each bias type
The end points deformation coefficient G of the main spring of variable cross-sectionx-DiCalculated, i.e.,
<mrow>
<msub>
<mi>G</mi>
<mrow>
<mi>x</mi>
<mo>-</mo>
<mi>D</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mn>4</mn>
<mrow>
<mi>E</mi>
<mi>b</mi>
</mrow>
</mfrac>
<mrow>
<mo>(</mo>
<msup>
<mi>L</mi>
<mn>3</mn>
</msup>
<mo>-</mo>
<msubsup>
<mi>l</mi>
<mn>2</mn>
<mn>3</mn>
</msubsup>
<mo>)</mo>
</mrow>
<mo>+</mo>
<mfrac>
<mrow>
<mn>6</mn>
<msubsup>
<mi>l</mi>
<mn>2</mn>
<mn>3</mn>
</msubsup>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>&beta;</mi>
<mi>i</mi>
</msub>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>&lsqb;</mo>
<mn>3</mn>
<mrow>
<mo>(</mo>
<msub>
<mi>&beta;</mi>
<mi>i</mi>
</msub>
<mo>-</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mn>2</mn>
<msub>
<mi>ln&beta;</mi>
<mi>i</mi>
</msub>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>&beta;</mi>
<mi>i</mi>
</msub>
<mo>)</mo>
</mrow>
<mo>&rsqb;</mo>
</mrow>
<mrow>
<mi>E</mi>
<mi>b</mi>
</mrow>
</mfrac>
<mo>+</mo>
<mfrac>
<mrow>
<mn>4</mn>
<msubsup>
<mi>&beta;</mi>
<mi>i</mi>
<mn>3</mn>
</msubsup>
<msubsup>
<mi>l</mi>
<mn>2</mn>
<mn>3</mn>
</msubsup>
</mrow>
<mrow>
<mi>E</mi>
<mi>b</mi>
</mrow>
</mfrac>
<mo>,</mo>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
<mo>,</mo>
<mn>2</mn>
<mo>,</mo>
<mn>...</mn>
<mo>,</mo>
<mi>N</mi>
<mo>;</mo>
</mrow>
Deformation coefficient G of (2) the N main springs of piece bias type variable cross-section at end flat segments and auxiliary spring contact pointx-CDCalculate：
According to half length L, the width b of few main spring of piece bias type variable cross-section, elastic modulus E, the root to main spring end of oblique line section
Point apart from l2, the horizontal range l of auxiliary spring contact and main spring end points0, main reed number N, wherein, the thickness of the oblique line section of the main spring of N pieces
Degree compares βN, to deformation coefficient G of the N main springs of piece bias type variable cross-section at end flat segments and auxiliary spring contact pointx-CDCounted
Calculate, i.e.,
<mfenced open = "" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<msub>
<mi>G</mi>
<mrow>
<mi>x</mi>
<mo>-</mo>
<mi>C</mi>
<mi>D</mi>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<mn>4</mn>
<msup>
<mi>L</mi>
<mn>3</mn>
</msup>
<mo>+</mo>
<mn>22</mn>
<msubsup>
<mi>l</mi>
<mn>2</mn>
<mn>3</mn>
</msubsup>
<mrow>
<mo>(</mo>
<msubsup>
<mi>&beta;</mi>
<mi>N</mi>
<mn>3</mn>
</msubsup>
<mo>-</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mo>+</mo>
<mn>6</mn>
<msubsup>
<mi>l</mi>
<mn>2</mn>
<mn>3</mn>
</msubsup>
<mo>&lsqb;</mo>
<mn>3</mn>
<msub>
<mi>&beta;</mi>
<mi>N</mi>
</msub>
<mrow>
<mo>(</mo>
<msub>
<mi>&beta;</mi>
<mi>N</mi>
</msub>
<mo>-</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mn>2</mn>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>+</mo>
<msubsup>
<mi>&beta;</mi>
<mi>N</mi>
<mn>3</mn>
</msubsup>
<mo>)</mo>
</mrow>
<msub>
<mi>ln&beta;</mi>
<mi>N</mi>
</msub>
<mo>-</mo>
<mn>6</mn>
<msub>
<mi>&beta;</mi>
<mi>N</mi>
</msub>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>&beta;</mi>
<mi>N</mi>
</msub>
<mo>)</mo>
</mrow>
<msub>
<mi>ln&beta;</mi>
<mi>N</mi>
</msub>
<mo>&rsqb;</mo>
</mrow>
<mrow>
<mi>E</mi>
<mi>b</mi>
</mrow>
</mfrac>
<mo>+</mo>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mfrac>
<mrow>
<mn>2</mn>
<mo>&lsqb;</mo>
<msubsup>
<mi>l</mi>
<mn>0</mn>
<mn>3</mn>
</msubsup>
<mo>+</mo>
<mn>3</mn>
<msubsup>
<mi>&beta;</mi>
<mi>N</mi>
<mn>2</mn>
</msubsup>
<mrow>
<mo>(</mo>
<msubsup>
<mi>l</mi>
<mn>2</mn>
<mn>2</mn>
</msubsup>
<msubsup>
<mi>&beta;</mi>
<mi>N</mi>
<mn>2</mn>
</msubsup>
<mo>-</mo>
<msup>
<mi>L</mi>
<mn>2</mn>
</msup>
<msub>
<mi>&beta;</mi>
<mi>N</mi>
</msub>
<mo>-</mo>
<msubsup>
<mi>l</mi>
<mn>2</mn>
<mn>2</mn>
</msubsup>
<mo>)</mo>
</mrow>
<msub>
<mi>l</mi>
<mn>0</mn>
</msub>
<mo>&rsqb;</mo>
</mrow>
<mrow>
<msubsup>
<mi>Eb&beta;</mi>
<mi>N</mi>
<mn>3</mn>
</msubsup>
</mrow>
</mfrac>
<mo>;</mo>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
(3) auxiliary spring works the end points power F of the main spring of N piece bias type variable cross-sections under loadNCalculate：
I steps：According to the thickness h of the root flat segments of few main spring of piece bias type variable cross-section2, main reed number N, and step (1) are fallen into a trap
The end points deformation coefficient G of each obtained main spring of bias type variable cross-sectionx-Di, determine the half of each main spring of bias type variable cross-section
Stiffness KMi, i.e.,
<mrow>
<msub>
<mi>K</mi>
<mrow>
<mi>M</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<msubsup>
<mi>h</mi>
<mn>2</mn>
<mn>3</mn>
</msubsup>
<msub>
<mi>G</mi>
<mrow>
<mi>x</mi>
<mo>-</mo>
<mi>D</mi>
<mi>i</mi>
</mrow>
</msub>
</mfrac>
<mo>,</mo>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
<mo>,</mo>
<mn>2</mn>
<mo>,</mo>
<mo>...</mo>
<mo>,</mo>
<mi>N</mi>
<mo>;</mo>
</mrow>
II steps：The half that load is played according to required auxiliary spring is single-ended point load P, main reed number N, and institute is true in I steps
The half stiffness K of each fixed main spring of bias type variable cross-sectionMi, the N piece bias type variable cross-section masters under the load that worked to auxiliary spring
The end points power F of springNCalculated, i.e.,
<mrow>
<msub>
<mi>F</mi>
<mi>N</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>K</mi>
<mrow>
<mi>M</mi>
<mi>N</mi>
</mrow>
</msub>
<mi>P</mi>
</mrow>
<mrow>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>N</mi>
</munderover>
<msub>
<mi>K</mi>
<mrow>
<mi>M</mi>
<mi>i</mi>
</mrow>
</msub>
</mrow>
</mfrac>
<mo>,</mo>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
<mo>,</mo>
<mn>2</mn>
<mo>,</mo>
<mo>...</mo>
<mo>,</mo>
<mi>N</mi>
<mo>,</mo>
</mrow>
In formula, KMNFor the half rigidity of the main spring of N piece bias type variable cross-sections；
(4) major-minor spring gap delta design of the main spring of bias type variable cross-section between end flat segments and auxiliary spring contact：
According to the thickness h of the root flat segments of the main spring of bias type variable cross-section2, obtained N pieces are calculated in main reed number N, II step
The End Force F of the main spring of bias type variable cross-sectionN, and calculate the obtained main spring of N pieces in step (2) and connect in end flat segments and auxiliary spring
Deformation coefficient G at contactx-CD, to major-minor spring of few main spring of piece bias type variable cross-section between end flat segments and auxiliary spring contact
Gap delta is designed, i.e.,
<mrow>
<mi>&delta;</mi>
<mo>=</mo>
<msub>
<mi>G</mi>
<mrow>
<mi>x</mi>
<mo>-</mo>
<mi>C</mi>
<mi>D</mi>
</mrow>
</msub>
<mfrac>
<msub>
<mi>F</mi>
<mi>N</mi>
</msub>
<msubsup>
<mi>h</mi>
<mn>2</mn>
<mn>3</mn>
</msubsup>
</mfrac>
<mo>.</mo>
</mrow>
2
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610140850.0A CN105526290B (en) | 2016-03-13 | 2016-03-13 | Design method of the few main spring of piece of bias type in end flat segments Yu auxiliary spring gap |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610140850.0A CN105526290B (en) | 2016-03-13 | 2016-03-13 | Design method of the few main spring of piece of bias type in end flat segments Yu auxiliary spring gap |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN105526290A CN105526290A (en) | 2016-04-27 |
| CN105526290B true CN105526290B (en) | 2017-08-25 |
Family
ID=55768707
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201610140850.0A Active CN105526290B (en) | 2016-03-13 | 2016-03-13 | Design method of the few main spring of piece of bias type in end flat segments Yu auxiliary spring gap |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN105526290B (en) |
Families Citing this family (41)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105975662A (en) * | 2016-04-28 | 2016-09-28 | 王炳超 | Method for designing stiffness of assistant spring in end part contact type few-leaf diagonal variable-cross-section main and assistant springs |
| CN105740591A (en) * | 2016-04-28 | 2016-07-06 | 王炳超 | Method for verifying strength of each leaf of end contact type few-leaf oblique main and auxiliary springs |
| CN105956259A (en) * | 2016-04-28 | 2016-09-21 | 王炳超 | Checking calculation method of composite stiffness of end-contact few-leaf diagonal variable cross-section main and auxiliary spring |
| CN105975663A (en) * | 2016-04-28 | 2016-09-28 | 王炳超 | Method for calculating stress of each leaf of end part contact type few-leaf diagonal main and assistant springs |
| CN105912804A (en) * | 2016-04-28 | 2016-08-31 | 王炳超 | Method for determining endpoint force of end contact type few-leaf slash type variable-section main/auxiliary springs |
| CN105956270B (en) * | 2016-05-04 | 2018-10-19 | 山东理工大学 | End contact lacks the computational methods of piece reinforcement end each stress of major-minor spring |
| CN105975686B (en) * | 2016-05-04 | 2019-12-31 | 山东理工大学 | Method for determining end point force of end contact type few-leaf end reinforced main and auxiliary springs |
| CN105889377B (en) * | 2016-05-04 | 2017-09-26 | 山东理工大学 | The determination method of the few piece reinforcement end major-minor spring end points power of non-ends contact formula |
| CN105787228B (en) * | 2016-05-13 | 2018-11-09 | 山东理工大学 | End contact lacks the auxiliary spring stiffness design method of piece reinforcement end major-minor spring |
| CN105889378B (en) * | 2016-05-13 | 2017-09-19 | 山东理工大学 | The design method of the few piece reinforcement end auxiliary spring root thickness of ends contact formula |
| CN106015414B (en) * | 2016-05-13 | 2018-01-19 | 山东理工大学 | The Method for Checking of the few piece reinforcement end variable cross-section major-minor spring complex stiffness of ends contact formula |
| CN105840702B (en) * | 2016-06-12 | 2017-10-03 | 山东理工大学 | The design method of the few piece parabolic type variable cross-section auxiliary spring length of non-ends contact formula |
| CN106122331B (en) * | 2016-06-27 | 2018-02-09 | 山东理工大学 | A kind of auxiliary spring stiffness design method of the few reinforced major-minor spring in piece root of non-ends contact formula |
| CN106438798B (en) * | 2016-10-18 | 2018-03-16 | 山东理工大学 | The non-design method for waiting the spacing amount of deflection of the few piece end reinforced type leaf spring of structure in end |
| CN106369090B (en) * | 2016-10-18 | 2018-07-24 | 山东理工大学 | The non-equal structures in end lack the design method of piece oblique line steel plate spring limit amount of deflection |
| CN106246778B (en) * | 2016-10-18 | 2017-12-26 | 山东理工大学 | The non-design method for waiting the spacing amount of deflection of the few piece both ends reinforced type leaf spring of structure in end |
| CN106704434B (en) * | 2016-12-28 | 2018-11-02 | 博戈橡胶塑料（株洲）有限公司 | Automobile major-minor formula flat spring assembly and its manufacturing method and design method |
| CN106599523B (en) * | 2017-01-03 | 2019-06-28 | 山东理工大学 | The main spring maximum gauge of first-order gradient rigidity leaf spring and the determination method of minimum the piece number |
| CN106763381B (en) * | 2017-01-03 | 2019-03-29 | 山东理工大学 | The design method of high-intensitive first-order gradient rigidity leaf spring maximum limit amount of deflection |
| CN106763378B (en) * | 2017-01-03 | 2019-02-19 | 山东理工大学 | The emulation checking method of the offset frequencys first-order gradient rigidity leaf spring maximum limit amount of deflection such as non- |
| CN106763380B (en) * | 2017-01-03 | 2019-02-19 | 山东理工大学 | The design method of the main spring cutting length of each of first-order gradient rigidity leaf spring |
| CN106594137B (en) * | 2017-01-03 | 2018-04-13 | 山东理工大学 | The emulated computation method of the load deflexion characteristic of high intensity first-order gradient rigidity leaf spring |
| CN106704428B (en) * | 2017-01-03 | 2018-05-29 | 山东理工大学 | The design method of first-order gradient each main spring of rigidity leaf spring based on rigidity and stress |
| CN106594139B (en) * | 2017-01-03 | 2018-05-04 | 山东理工大学 | Each thickness of auxiliary spring of first-order gradient rigidity leaf spring and the design method of the piece number |
| CN106763383B (en) * | 2017-01-03 | 2018-08-10 | 山东理工大学 | The design method of each main spring cutting length of high intensity first-order gradient rigidity leaf spring |
| CN106763379B (en) * | 2017-01-03 | 2018-09-18 | 山东理工大学 | The method of the main spring adjusted design of tailpiece of first-order gradient rigidity leaf spring based on rigidity |
| CN106704430B (en) * | 2017-01-12 | 2018-05-29 | 山东理工大学 | The design method of high intensity two-stage progressive rate leaf spring first cutting length of auxiliary springs at different levels |
| CN106763389B (en) * | 2017-01-12 | 2018-06-22 | 山东理工大学 | The simulation calculation method for the offset frequencys type progressive rate leaf spring Root Stress such as the main spring formula of two-stage is non- |
| CN106777798B (en) * | 2017-01-12 | 2019-09-03 | 山东理工大学 | The calculation method of the stiffness characteristics of high-intensitive two-stage progressive rate leaf spring |
| CN106763387B (en) * | 2017-01-12 | 2018-10-19 | 山东理工大学 | High intensity three-level progressive rate leaf spring maximum limits the emulation checking method of amount of deflection |
| CN106777800B (en) * | 2017-01-12 | 2019-08-30 | 山东理工大学 | The emulated computation method of the stiffness characteristics of high-intensitive two-stage progressive rate leaf spring |
| CN106763388B (en) * | 2017-01-12 | 2018-09-18 | 山东理工大学 | The first auxiliary spring cutting length design methods of offset frequencys type progressive rate leaf spring such as two-stage auxiliary spring formula is non- |
| CN106704431B (en) * | 2017-01-12 | 2018-05-29 | 山东理工大学 | The contact load adaptation design method of the offset frequencys type three-level progressive rate leaf spring such as non- |
| CN106763390B (en) * | 2017-01-12 | 2018-09-04 | 山东理工大学 | The simulation calculation method of the flexibility characteristics of the offset frequencys type three-level progressive rate leaf spring such as non- |
| CN106650176B (en) * | 2017-01-12 | 2019-10-25 | 山东理工大学 | The calculation method of the offset frequencys type three-level progressive rate leaf spring flexibility characteristics such as non- |
| CN106545609B (en) * | 2017-01-12 | 2018-05-25 | 山东理工大学 | The simulation calculation method for the offset frequencys progressive rate rigidity of plate spring characteristics such as two-stage auxiliary spring formula is non- |
| CN106763372B (en) * | 2017-01-12 | 2019-02-19 | 山东理工大学 | The design method of the main spring cutting length of each of high-intensitive three-level progressive rate leaf spring |
| CN106704429B (en) * | 2017-01-12 | 2019-02-19 | 山东理工大学 | The design method of the maximum limit amount of deflection of the offset frequencys type three-level progressive rate leaf spring such as non- |
| CN106777802B (en) * | 2017-01-12 | 2019-08-30 | 山东理工大学 | The calculation method of the Root Stress at different levels of the offset frequencys type three-level progressive rate leaf spring such as non- |
| CN106704432B (en) * | 2017-01-12 | 2018-05-29 | 山东理工大学 | The design method of the contact load of high intensity three-level progressive rate leaf spring |
| CN106585310B (en) * | 2017-01-12 | 2018-11-02 | 山东理工大学 | The contact load matched design method for the offset frequencys progressive rate leaf springs such as two-stage auxiliary spring formula is non- |
Family Cites Families (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS4914896Y1 (en) * | 1969-08-01 | 1974-04-13 | ||
| CN2150722Y (en) * | 1993-03-17 | 1993-12-29 | 顺德蚬华微波制品厂有限公司 | Heat-insulating spraying oven |
| IT1293415B1 (en) * | 1997-07-04 | 1999-03-01 | Rejna Spa | PERFECTED LEAF SPRING, ESPECIALLY FOR A VEHICLE SUSPENSION. |
| CN201944175U (en) * | 2011-02-21 | 2011-08-24 | 湖南易通汽车配件科技发展有限公司 | Parabolic tapered-leaf spring with variable rigidity |
| CN104239618B (en) * | 2014-09-03 | 2017-12-29 | 山东理工大学 | Automobile equal strength is superimposed the analytical decomposition design method of leaf spring |
-
2016
- 2016-03-13 CN CN201610140850.0A patent/CN105526290B/en active Active
Also Published As
| Publication number | Publication date |
|---|---|
| CN105526290A (en) | 2016-04-27 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN105526290B (en) | Design method of the few main spring of piece of bias type in end flat segments Yu auxiliary spring gap | |
| CN105550487B (en) | Few main spring of piece bias type variable cross-section is in the design method in oblique line section Yu auxiliary spring gap | |
| CN105608300B (en) | The design method of few piece parabolic type variable cross-section main spring end and auxiliary spring gap | |
| CN105653883B (en) | The auxiliary spring of non-ends contact formula bias type major-minor spring works the Method for Checking of load | |
| CN105590009B (en) | The auxiliary spring that few piece major-minor spring is reinforced in non-end contact end works load checking method | |
| CN105956270B (en) | End contact lacks the computational methods of piece reinforcement end each stress of major-minor spring | |
| CN105864335B (en) | The design method of the few piece bias type auxiliary spring root thickness of non-ends contact formula | |
| CN105808863A (en) | Method for carrying out check calculation on secondary spring acting load of end contact type less-taper leaf primary/secondary springs | |
| CN105975663A (en) | Method for calculating stress of each leaf of end part contact type few-leaf diagonal main and assistant springs | |
| CN105930563B (en) | End contact lacks the calculation method of piece parabolic type each stress of major-minor spring | |
| CN105843988B (en) | The auxiliary spring of end contact bias type major-minor spring works the Method for Checking of load | |
| CN105840702B (en) | The design method of the few piece parabolic type variable cross-section auxiliary spring length of non-ends contact formula | |
| CN105825000B (en) | Design method of few main spring of piece variable cross-section in parabolic segment and auxiliary spring gap | |
| CN106015414B (en) | The Method for Checking of the few piece reinforcement end variable cross-section major-minor spring complex stiffness of ends contact formula | |
| CN105912794B (en) | Non- end contact lacks the calculation method of piece parabolic type each stress of major-minor spring | |
| CN105825001B (en) | Design method of the reinforced few main spring of piece variable cross-section in parabolic segment and auxiliary spring gap | |
| CN105697627B (en) | The auxiliary spring stiffness design method of the few piece parabolic type major-minor spring of non-ends contact formula | |
| CN105912743B (en) | Design method of the reinforced few main spring of piece variable cross-section in root in end and auxiliary spring gap | |
| CN105912795A (en) | Non-end contact type few-leaf parabola main-auxiliary spring endpoint force determining method | |
| CN105808861B (en) | Reinforcement end lacks the main spring of piece in the design method of end flat segments and auxiliary spring gap | |
| CN105824997B (en) | Design method of the reinforced few main spring of piece in end and root in end and auxiliary spring gap | |
| CN105787190A (en) | Method for designing clearances between parabolic segments of end reinforced type few-leaf main springs and auxiliary springs | |
| CN105787189A (en) | Method for designing gap between root-strengthened type few-leaf main spring and auxiliary spring on parabolic segment | |
| CN106295087A (en) | The non-method for designing waiting the few sheet spacing amount of deflection of root reinforced type leaf spring of structure in end | |
| CN105930607B (en) | Non- end contact lacks the calculation method of piece reinforcement end each stress of major-minor spring |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| CB03 | Change of inventor or designer information | ||
| CB03 | Change of inventor or designer information |
Inventor after: Zhou Changcheng Inventor after: Wang Bingchao Inventor after: Yu Yuewei Inventor after: Wang Fengjuan Inventor after: Shao Minglei Inventor after: Zhao Leilei Inventor after: Zhang Yunshan Inventor after: Xing Yuqing Inventor before: Zhou Changcheng Inventor before: Wang Bingchao Inventor before: Yu Yuewei Inventor before: Wang Fengjuan Inventor before: Shao Minglei Inventor before: Zhao Leilei Inventor before: Zhang Yunshan |
|
| TA01 | Transfer of patent application right | ||
| TA01 | Transfer of patent application right |
Effective date of registration: 20170727 Address after: Xu Meng Zhen Shandong Heng day suspension spring Co Ltd Shandong 262314 Rizhao City Province, Wulian County Applicant after: Xu Qingmei Address before: 255049 School of traffic and vehicle engineering, Shandong University of Technology, No. 12 Zhang Zhou road, Shandong, Zibo Applicant before: Zhou Changcheng |
|
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| TR01 | Transfer of patent right | ||
| TR01 | Transfer of patent right |
Effective date of registration: 20170822 Address after: 262314, Shandong County, Rizhao City province Wulian Meng Xin Village Patentee after: Shandong Hengri Bearing Spring Co., Ltd. Address before: Xu Meng Zhen Shandong Heng day suspension spring Co Ltd Shandong 262314 Rizhao City Province, Wulian County Patentee before: Xu Qingmei |