CN105912743B - Design method of the reinforced few main spring of piece variable cross-section in root in end and auxiliary spring gap - Google Patents
Design method of the reinforced few main spring of piece variable cross-section in root in end and auxiliary spring gap Download PDFInfo
- Publication number
- CN105912743B CN105912743B CN201610140838.XA CN201610140838A CN105912743B CN 105912743 B CN105912743 B CN 105912743B CN 201610140838 A CN201610140838 A CN 201610140838A CN 105912743 B CN105912743 B CN 105912743B
- Authority
- CN
- China
- Prior art keywords
- spring
- main spring
- root
- main
- piece
- 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.)
- Expired - Fee Related
Links
Classifications
-
- 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
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2111/00—Details relating to CAD techniques
- G06F2111/04—Constraint-based CAD
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Computer Hardware Design (AREA)
- Evolutionary Computation (AREA)
- Geometry (AREA)
- General Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Springs (AREA)
Abstract
The present invention relates to the reinforced few main springs of piece variable cross-section in root in the design method of end and auxiliary spring gap, belongs to suspension leaf spring technical field.The present invention can structure size according to each main spring of the reinforced variable cross-section in root, elasticity modulus, it is first determined goes out the endpoint deformation coefficient and the of each main springNDeformation coefficient at end flat segments and auxiliary spring contact pointG x‑DE；Then, according to auxiliary spring work load, each main spring endpoint deformation coefficient, obtainNThe endpoint power of the main spring of pieceF N；Then, according toNThe root thickness of the main spring of pieceh 2WithF NAndG x‑DE, major-minor spring gap of the main spring between end flat segments and auxiliary spring contact is designed.By simulating, verifying it is found that accurate major-minor spring gap design value can be obtained using method, meets auxiliary spring and work the design requirement of load, improve horizontal product design and performance and vehicle ride comfort；Meanwhile accelerating product development speed, reduce design and testing expenses.
Description
Technical field
The present invention relates to the reinforced few main springs of piece variable cross-section in vehicle suspension leaf spring, especially root in end and auxiliary spring
The design method in gap.
Background technique
It, usually will few piece variable-section steel sheet spring in order to meet variation rigidity design requirement of the vehicle suspension under different loads
It is designed as major and minor spring, wherein main spring designs at the contact that connects with auxiliary spring certain gap, it is ensured that be greater than certain load
Later, major and minor spring is contacted and is cooperatively worked.Since the 1st of few main spring of piece variable cross-section its stress is complicated, it is subjected to hang down
To load, while also subject to torsional load and longitudinal loading, therefore, the end thickness of the 1st leaf spring designed by reality,
Usually than other each partially thicker, i.e., mostly using few piece variable-section steel sheet spring of the non-equal structures in end；Meanwhile in order to
The stress intensity for reinforcing few piece variable-section steel sheet spring, usually adds an oblique line between main spring root flat segments and parabolic segment
Section, i.e., few main spring of piece variable cross-section reinforced using root.In addition, due to the design in order to meet major-minor spring different composite rigidity
It is required that generalling use the auxiliary spring of different length, i.e., main spring and the contact position of auxiliary spring are also different, therefore, it is straight can be divided into end
Section contact and parabolic segment contact.Then, due to the reinforced deformation that piece variable-section steel sheet spring is located at an arbitrary position less in root
It calculates extremely complex, therefore, previously fails to provide the reinforced few main spring of piece in root always in end flat segments and auxiliary spring contact point
The design method in the major and minor spring gap at place.
Although previously once someone gives the design method of few piece variable-section steel sheet spring, for example, Peng is not, high army once existed
" automobile engineering " (volume 14) the 3rd phase in 1992, proposes the design and calculation method of Varied section leaf spring, this method is main
It is to be designed for few piece parabolic type variable-section steel sheet springs of the structures such as end, shortcoming is that not to be able to satisfy root non-etc.
It is straight in end to be less able to satisfy the reinforced few main spring of piece variable cross-section in root for the design requirement of few piece variable-section steel sheet spring of structure
The design of section and the major and minor spring gap at auxiliary spring contact point.Currently, although someone's few main spring of piece variable cross-section once reinforced to root
Deformation, using ANSYS modeling and simulating method, but this method can only be to the few piece variable cross-section steel plates bullet for providing actual design structure
The deformation of spring carries out simulating, verifying, cannot provide accurate analytical design method formula and is less able to satisfy with meeting the requirement of analytical design method
Vehicle is fast-developing and the requirement of CAD design software development is modernized to suspension leaf spring.
Therefore, it is necessary to establish, one kind is accurate, the reinforced few main spring of piece in reliable root is contacted in end flat segments with auxiliary spring
It is fast-developing and smart to the major and minor leaf spring of few piece variable cross-section to meet Vehicle Industry for the design method in the major and minor spring gap at point
The requirement really designed improves design level, the product quality and performances of variable-section steel sheet spring, improves vehicle driving ride comfort；
Meanwhile design and testing expenses are reduced, accelerate product development speed.
Summary of the invention
For above-mentioned defect existing in the prior art, technical problem to be solved by the invention is to provide it is a kind of it is easy,
Reliable reinforced few design method of the main spring of piece variable cross-section in end and auxiliary spring gap in root, design flow diagram such as Fig. 1 institute
Show.The reinforced few piece variable cross-section major-minor spring in root is symmetrical structure, and the half spring of symmetrical structure can see cantilever beam as, i.e., will
Root fixing end of the symmetrical center line as half spring, using the contact of the end stress point of main spring and auxiliary spring as main spring
Endpoint and auxiliary spring endpoint.The half symmetrical structure schematic diagram of the reinforced few piece variable cross-section major-minor spring in root, as shown in Fig. 2, wherein
Including, main spring 1, root shim 2, auxiliary spring 3, end pad 4；Main spring 1 is made of N piece, and the half of each total length is L, be by
Root flat segments, oblique line section, parabolic segment and 4 sections of end flat segments are constituted, wherein oblique line section, which plays tapered spring, to be reinforced
Effect；The root flat segments of every main spring with a thickness of h2, clipping room away from half be l3, the length of oblique line section is Δ l, parabolic
The root thickness of line segment is h2p, i.e. thickness ratio γ=h of oblique line section2p/h2；Distance l of the root of the oblique section of line to main spring endpoint2=
L-l3, the distance l of the root of parabolic segment to main spring endpoint2p=L-l3-Δl；1 each end flat segments of main spring are non-equal structures,
The thickness and length of the end flat segments of i.e. the 1st main spring, greater than the thickness and length of the end flat segments of other each main spring,
The thickness and length of each end flat segments are respectively h1iAnd l1i；The thickness ratio β of each parabolic segmenti=h1i/h2p, i=1,
2,…,N；Each root flat segments of main spring 1 and between the root flat segments of auxiliary spring 3 be equipped with root shim 2, the end of main spring 1
It is equipped with end pad 4 between portion's flat segments, the material of end pad carbon fibre composite, to when reducing spring works
Frictional noise；The half length of auxiliary spring 3 is LA, i.e. horizontal distance l of the auxiliary spring endpoint to main spring endpoint0=L-LA, the N of main spring 1
Certain major and minor spring gap delta is equipped between the end flat segments of piece and the ends points of auxiliary spring 3, when load is acted as greater than auxiliary spring
When with load, auxiliary spring is in contact with certain point in the flat segments of main spring end.In each chip architecture parameter of main spring, elasticity modulus, auxiliary spring
Length, auxiliary spring work in the given situation of load, and few main spring of piece variable cross-section reinforced to root is touched in end flat segments and auxiliary spring
Major-minor spring gap between point is designed.
In order to solve the above technical problems, the reinforced few main spring of piece variable cross-section in root provided by the present invention is in end and auxiliary spring
The design method in gap, it is characterised in that use following design procedure:
(1) the endpoint deformation coefficient G of each main spring of the reinforced variable cross-section in rootx-EiIt calculates:
According to half the length L, width b, the length Δ l of oblique line section of the main spring of few reinforced variable cross-section in piece root, parabola
Distance l of the root of section to main spring endpoint2p, the distance l of the root of oblique line section to main spring endpoint2, elastic modulus E, oblique line section
Thickness ratio γ, main reed number N, wherein the thickness ratio β of the parabolic segment of i-th main springi, i=1,2 ..., N, to each main spring
Endpoint deformation coefficient Gx-EiIt is calculated, i.e.,
Deformation coefficient G of (2) the main springs of N piece in end flat segments Yu auxiliary spring contact pointx-DEIt calculates:
According to half the length L, width b, the length Δ l of oblique line section of the main spring of few reinforced variable cross-section in piece root, parabola
Distance l of the root of section to main spring endpoint2p, the distance l of the root of oblique line section to main spring endpoint2, elastic modulus E, oblique line section
Thickness ratio γ, main reed number N, the thickness ratio β of the parabolic segment of the main spring of N pieceN, the horizontal distance of auxiliary spring contact and main spring endpoint
l0, to deformation coefficient G of the main spring of N piece at end flat segments and auxiliary spring contact pointx-DEIt is calculated, i.e.,
(3) auxiliary spring works the endpoint power F of the main spring of N piece under loadNIt calculates:
I step: according to the thickness h of the root flat segments of the main spring of few reinforced variable cross-section in piece root2, main reed number N, and step
Suddenly the endpoint deformation coefficient G for each main spring being calculated in (1)x-Ei, determine the half stiffness K of each main springMi, i.e.,
II step: working the i.e. single-ended point load P of half of load according to auxiliary spring, and institute is really in main reed number N and I step
The half stiffness K of each fixed main springMi, the endpoint power F of the main spring of N piece under the load that works to auxiliary springNIt is calculated, i.e.,
In formula, KMNFor the half rigidity of the main spring of N piece；
(4) reinforced few major-minor spring gap delta of the main spring of piece variable cross-section between end flat segments and auxiliary spring contact in root is set
Meter:
According to the thickness h of the root flat segments of each main spring2, the auxiliary spring being calculated in II step works under load
The endpoint power F of the main spring of N pieceNAnd obtained G is calculated in step (2)x-DE, few main spring of piece variable cross-section reinforced to root holding
Major-minor spring gap delta between portion's flat segments and auxiliary spring contact is designed, i.e.,
The present invention has the advantage that than the prior art
It is extremely complex that the reinforced few piece variable-section steel sheet spring in root deform calculating at an arbitrary position, therefore, always previously
Fail to provide the design method in major and minor spring gap of the reinforced few main spring of piece in root at end flat segments and auxiliary spring contact point.
The present invention can be according to the root reinforced structure size of the main spring of piece variable cross-section, elasticity modulus less, it is first determined goes out each
Deformation coefficient and N main spring deformation coefficient end flat segments and auxiliary spring contact point at of the main spring of piece at endpoint；Then,
By the deformation coefficient and rigidity at each endpoint, the load that the main spring of N piece is shared in endpoint is obtained；Then, according to N piece
The shared load of root thickness and endpoint of main spring, and the deformation coefficient at end flat segments and auxiliary spring contact point, to root
Reinforced few major and minor spring gap of the main spring of piece variable cross-section at end flat segments with auxiliary spring contacting points position is designed.
By design example and ANSYS simulating, verifying it is found that the reinforced few piece in accurate, reliable root can be obtained in this method
Major and minor spring gap parameter design value of the main spring of variable cross-section at end flat segments and auxiliary spring contact point is the reinforced few piece in root
Major and minor spring gap design of the variable-section steel sheet spring in the flat segments of end, provides reliable design method, and be CAD
Reliable technical foundation has been established in software development.Using this method, the design water of few major and minor leaf spring of piece variable cross-section can be improved
Flat, product quality and performances reduce bearing spring quality and cost, improve vehicle driving ride comfort；Meanwhile also reduce design and
Product development speed is accelerated in testing expenses.
Detailed description of the invention
For a better understanding of the present invention, it is described further with reference to the accompanying drawing.
Fig. 1 is design flow diagram of the reinforced few main spring of piece in root in end flat segments and auxiliary spring gap；
Fig. 2 is the half structural schematic diagram of the reinforced few piece variable cross-section major-minor spring in root；
Fig. 3 is the deformation simulation cloud atlas of the reinforced few main spring of piece variable cross-section in one root of embodiment；
Fig. 4 is the deformation simulation cloud atlas of the reinforced few main spring of piece variable cross-section in two root of embodiment.
Specific embodiment
Below by embodiment, invention is further described in detail.
Embodiment one: the main reed number N=2 of certain few reinforced variable-section steel sheet spring in piece root, wherein each main spring
Half length L=575mm, width b=60mm, elastic modulus E=200GPa, the thickness h of root flat segments2=11mm, installation
The half l of spacing3=55mm, the length Δ l=30mm of oblique line section, the distance l of the root of parabolic segment to main spring endpoint2p=L-
l3Δ l=490mm, the distance l of the root of oblique line section to main spring endpoint2=L-l3=520mm；The root thickness h of parabolic segment2p
=10.23mm, thickness ratio γ=h of oblique line section2p/h2=0.93；The thickness h of the end flat segments of 1st main spring11=7mm, the
The thickness ratio β of the parabolic segment of 1 main spring1=h11/h2p=0.69；The thickness h of the end flat segments of 2nd main spring12=6mm,
The thickness ratio β of the parabolic segment of 2nd main spring2=h12/h2p=0.59；The half length L of auxiliary springA=465mm, auxiliary spring contact with
The horizontal distance l of main spring endpoint0=L-LAThe contact point of=110mm, auxiliary spring and main spring is located in the flat segments of main spring end.It is set
The auxiliary spring that meter requires works the i.e. single-ended point load P=1200N of half of load, lacks the reinforced variable cross-section steel plates in piece root to this
Major-minor spring gap of the main spring of spring between end flat segments and auxiliary spring contact is designed.
The reinforced few main spring of piece variable cross-section in root provided by present example end and auxiliary spring gap design method,
Its design cycle is as shown in Figure 1, the specific steps are as follows:
(1) the endpoint deformation coefficient G of each main spring of the reinforced variable cross-section in rootx-EiIt calculates:
According to the half length L=575mm of the main spring of few reinforced variable cross-section in piece root, width b=60mm, elastic modulus E
=200GPa, the length Δ l=30mm of oblique line section, the distance l of the root of parabolic segment to main spring endpoint2p=490mm, oblique line section
Root to main spring endpoint distance l2=520mm, thickness ratio γ=0.93 of oblique line section, main reed number N=2, wherein the 1st
The thickness ratio β of the parabolic segment of the main spring of piece1The thickness ratio β of the parabolic segment of=0.69, the 2nd main spring2=0.59, to the 1st and
The endpoint deformation coefficient G of 2nd main springx-E1、Gx-E2It is calculated, respectively
Deformation coefficient G of (2) the main springs of N piece in end flat segments Yu auxiliary spring contact pointx-DEIt calculates:
According to the half length L=575mm of the main spring of few reinforced variable cross-section in piece root, width b=60mm, elastic modulus E
=200GPa, the length Δ l=30mm of oblique line section, the distance l of the root of parabolic segment to main spring endpoint2p=490mm, oblique line section
Root to main spring endpoint distance l2=520mm, thickness ratio γ=0.93 of oblique line section, main reed number N=2, wherein the 2nd
The thickness ratio β of the parabolic segment of the main spring of piece2=0.59, the horizontal distance l of auxiliary spring contact and main spring endpoint0=110mm, to the 2nd
Deformation coefficient G of the main spring at end flat segments and auxiliary spring contact pointx-DEIt is calculated, i.e.,
(3) auxiliary spring works the endpoint power F of the 2nd main spring under loadNIt calculates:
I step: according to the thickness h of each root flat segments of the main spring of few reinforced variable cross-section in piece root2=11mm, main spring
Obtained G is calculated in the piece number N=2 and step (1)x-E1=107.53mm4/ N and Gx-E2=113.42mm4/ N, to the 1st master
The half stiffness K of spring and the 2nd main springM1And KM2It is respectively calculated, i.e.,
II step: it is worked the half i.e. single-ended point load P=1200N, main reed number N=2 and I of load according to auxiliary spring
Identified K in stepM1=12.38N/mm and KM2=11.74N/mm, the end of the 2nd main spring to be worked under load to auxiliary spring
Point power F2It is calculated, i.e.,
(4) reinforced few major-minor spring gap delta of the main spring of piece variable cross-section between end flat segments and auxiliary spring contact in root is set
Meter:
According to the thickness h of the root flat segments of each main spring2Obtained F is calculated in=11mm, II step2=
Obtained G is calculated in 584.08N and step (2)x-DE=72.59mm4/ N, few main spring of piece variable cross-section reinforced to the root exist
Major-minor spring gap delta between end flat segments and auxiliary spring contact is designed, i.e.,
Using ANSYS finite element emulation software, the main spring structure of the reinforced variable-section steel sheet spring in piece root is lacked according to this
Parameter and material characteristic parameter establish ANSYS simulation model, grid division, and apply fixed constraint in the root of simulation model,
Apply concentrfated load P=1200N in free end, which is carried out
ANSYS emulation, obtained deformation simulation cloud atlas, as shown in Figure 3, wherein the main spring is in the change at end position 110mm
Shape amount δ=32.11mm.
It is found that under same load, ANSYS simulating, verifying value δ=32.11mm of the main spring deflection of the leaf spring, with
Major-minor spring gap design value δ=31.85mm matches, and relative deviation is only 0.81%；The result shows that root provided by the invention
Design method of the reinforced few main spring of piece variable cross-section in portion in end and auxiliary spring gap is correctly that parameter design value is accurate and reliable
's.
Embodiment two: the main reed number N=2 of certain few reinforced variable-section steel sheet spring in piece root, wherein each main spring
Half length L=600mm, width b=60mm, elastic modulus E=200GPa, root thickness h2=14.78mm, clipping room away from
Half l3=60mm, oblique line segment length Δ l=30mm, the distance l of the root of parabolic segment to main spring endpoint2p=L-l3Δ l=
510mm, the distance l of the root of oblique line section to main spring endpoint2=L-l3=540mm；The root thickness h of parabolic segment2p=
13.3mm, thickness ratio γ=h of oblique line section2p/h2=0.90；The thickness h of the end flat segments of 1st main spring11=8mm, the 1st
The thickness ratio β of the parabolic segment of main spring1=h11/h2p=0.60；The thickness h of the end flat segments of 2nd main spring12=6.5mm,
The thickness ratio β of 2nd main spring parabolic segment2=h12/h2p=0.49；The half length L of auxiliary springA=510mm, auxiliary spring contact to master
The horizontal distance l of spring endpoint0=L-LA=90mm, certain point in the flat segments of end is in contact with main spring for auxiliary spring contact.Design is wanted
The auxiliary spring asked works the i.e. single-ended point load P=3000N of half of load, between the main spring end flat segments and auxiliary spring contact
Major-minor spring gap be designed.
Using the design method and step being the same as example 1, the main spring is at end flat segments and auxiliary spring contact point
Gap is designed, and specific design procedure is as follows:
(1) the endpoint deformation coefficient G of each main spring of the reinforced variable cross-section in rootx-EiIt calculates:
According to the half length L=600mm of the main spring of few reinforced variable cross-section in piece root, width b=60mm, elastic modulus E
=200GPa, the length Δ l=30mm of oblique line section, the distance l of the root of parabolic segment to main spring endpoint2p=510mm, oblique line section
Root to main spring endpoint distance l2=540mm, thickness ratio γ=0.90 of oblique line section, main reed number N=2, wherein the 1st
The thickness ratio β of the parabolic segment of the main spring of piece1The thickness ratio β of the parabolic segment of=0.60, the 2nd main spring2=0.49, to the 1st and
The endpoint deformation coefficient G of 2nd main springx-E1And Gx-E2It is calculated, respectively
Deformation coefficient G of (2) the main springs of N piece in end flat segments Yu auxiliary spring contact pointx-DEIt calculates:
According to the half length L=600mm of the main spring of few reinforced variable cross-section in piece root, width b=60mm, elastic modulus E
=200GPa, the length Δ l=30mm of oblique line section, the distance l of the root of parabolic segment to main spring endpoint2p=510mm, oblique line section
Root to main spring endpoint distance l2=540mm, thickness ratio γ=0.90 of oblique line section, main reed number N=2, wherein the 2nd
The thickness ratio β of the parabolic segment of the main spring of piece2=0.49, the horizontal distance l of auxiliary spring contact and main spring endpoint0=90mm, to the 2nd
Deformation coefficient G of the main spring at end flat segments and auxiliary spring contact pointx-DEIt is calculated, i.e.,
(3) auxiliary spring works the endpoint power F of the main spring of N piece under loadNIt calculates:
I step: according to the thickness h of each root flat segments of the main spring of few reinforced variable cross-section in piece root2=14.78mm,
Obtained G is calculated in main reed number N=2 and step (1)x-E1=137.44mm4/ N and Gx-E2=143.40mm4/ N, to the 1st
The half stiffness K of the main spring of piece and the 2nd main springM1And KM2It is respectively calculated, i.e.,
II step: it is worked the half i.e. single-ended point load P=3000N, main reed number N=2 and I of load according to auxiliary spring
Identified K in stepM1=23.49N/mm and KM2=22.52N/mm, the end of the 2nd main spring to be worked under load to auxiliary spring
Point power F2It is calculated, i.e.,
(4) reinforced few major-minor spring gap delta of the main spring of piece variable cross-section between end flat segments and auxiliary spring contact in root is set
Meter:
According to the thickness h of the root flat segments of each main spring2Obtained F is calculated in=14.78mm, II step2=
Obtained G is calculated in 1468.40N and step (2)x-DE=99.45mm4/ N, few main spring of piece variable cross-section reinforced to the root
Major-minor spring gap delta between end flat segments and auxiliary spring contact is designed, i.e.,
Using ANSYS finite element emulation software, the main spring structure of the reinforced variable-section steel sheet spring in piece root is lacked according to this
Parameter and material characteristic parameter establish ANSYS simulation model, grid division, and apply fixed constraint in the root of simulation model,
Apply concentrfated load P=3000N in free end, which is carried out
ANSYS emulation, obtained deformation simulation cloud atlas, as shown in Figure 4, wherein the main spring is in the change at end position 90mm
Shape amount δ=45.65mm.
It is found that under same load, ANSYS simulating, verifying value δ=45.65mm of the main spring deflection of the leaf spring, with
Major-minor spring gap design value δ=45.23mm matches, and relative deviation is only 0.92%；The result shows that root provided by the invention
Design method of the reinforced few main spring of piece variable cross-section in portion in end and auxiliary spring gap is correctly that parameter design value is accurate and reliable
's.
Claims (1)
1. the reinforced few main spring of piece variable cross-section in root is in the design method of end and auxiliary spring gap, wherein reinforced few in root
Oblique line strengthening segment is equipped between the root flat segments and parabolic segment of the main spring of piece variable cross-section, the half of symmetrical structure is put down by root
What straight section, oblique line section, parabolic segment and 4 sections of end flat segments were constituted；The end flat segments of each main spring are non-equal structures, i.e., the
The thickness and length of the end flat segments of 1 main spring, greater than the thickness and length of the end flat segments of other each main spring；Main spring
End flat segments and auxiliary spring ends points between design have certain major-minor spring gap, worked the setting of load with meeting auxiliary spring
Meter requires；It is given in each chip architecture parameter of main spring, elasticity modulus, auxiliary spring length and the required auxiliary spring of the design load that works
In the case of, few major-minor spring gap of the main spring of piece variable cross-section between end flat segments and auxiliary spring contact reinforced to root is set
Meter, specific design procedure are as follows:
(1) the endpoint deformation coefficient G of each main spring of the reinforced variable cross-section in rootx-EiIt calculates:
According to half length L, width b, the length Δ l of oblique line section of the main spring of few reinforced variable cross-section in piece root, parabolic segment
Distance l of the root to main spring endpoint2p, the distance l of the root of oblique line section to main spring endpoint2, elastic modulus E, the thickness of oblique line section
Than γ, main reed number N, wherein the thickness ratio β of the parabolic segment of i-th main springi, i=1,2 ..., N, to the end of each main spring
Point deformation coefficient Gx-EiIt is calculated, i.e.,
Deformation coefficient G of (2) the main springs of N piece in end flat segments Yu auxiliary spring contact pointx-DEIt calculates:
According to half length L, width b, the length Δ l of oblique line section of the main spring of few reinforced variable cross-section in piece root, parabolic segment
Distance l of the root to main spring endpoint2p, the distance l of the root of oblique line section to main spring endpoint2, elastic modulus E, the thickness of oblique line section
Than γ, main reed number N, the thickness ratio β of the parabolic segment of the main spring of N pieceN, the horizontal distance l of auxiliary spring contact and main spring endpoint0, right
Deformation coefficient G of the main spring of N piece at end flat segments and auxiliary spring contact pointx-DEIt is calculated, i.e.,
(3) auxiliary spring works the endpoint power F of the main spring of N piece under loadNIt calculates:
I step: according to the thickness h of the root flat segments of the main spring of few reinforced variable cross-section in piece root2, main reed number N and step (1)
In the endpoint deformation coefficient G of each main spring that is calculatedx-Ei, determine the half stiffness K of each main springMi, i.e.,
II step: working the i.e. single-ended point load P of half of load according to auxiliary spring, in main reed number N and I step determined by
The half stiffness K of each main springMi, the endpoint power F of the main spring of N piece under the load that works to auxiliary springNIt is calculated, i.e.,
In formula, KMNFor the half rigidity of the main spring of N piece；
(4) major-minor spring gap delta design of the reinforced few main spring of piece variable cross-section in root between end flat segments and auxiliary spring contact:
According to the thickness h of the root flat segments of each main spring2, N piece that the auxiliary spring being calculated in II step works under load
The endpoint power F of main springNAnd obtained G is calculated in step (2)x-DE, few main spring of piece variable cross-section reinforced to root is flat in end
Major-minor spring gap delta between straight section and auxiliary spring contact is designed, i.e.,
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610140838.XA CN105912743B (en) | 2016-03-12 | 2016-03-12 | Design method of the reinforced few main spring of piece variable cross-section in root in end and auxiliary spring gap |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610140838.XA CN105912743B (en) | 2016-03-12 | 2016-03-12 | Design method of the reinforced few main spring of piece variable cross-section in root in end and auxiliary spring gap |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN105912743A CN105912743A (en) | 2016-08-31 |
| CN105912743B true CN105912743B (en) | 2019-05-21 |
Family
ID=56744584
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201610140838.XA Expired - Fee Related CN105912743B (en) | 2016-03-12 | 2016-03-12 | Design method of the reinforced few main spring of piece variable cross-section in root in end and auxiliary spring gap |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN105912743B (en) |
Families Citing this family (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107013616B (en) * | 2017-01-03 | 2018-11-30 | 山东理工大学 | High-intensitive first-order gradient rigidity leaf spring clamps the emulated computation method of stiffness characteristics |
| CN107066669B (en) * | 2017-01-12 | 2020-08-14 | 王炳超 | Design method for main and auxiliary spring gaps of high-strength two-stage gradient stiffness plate spring |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP0889257A2 (en) * | 1997-07-04 | 1999-01-07 | Rejna S.p.A. | Improved-type leaf spring, in particular for a suspension of a vehicle |
| CN2816479Y (en) * | 2005-06-29 | 2006-09-13 | 青岛帅潮实业有限公司 | Multi-arc segment less-piece section-variable spring steel plate |
| 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 |
-
2016
- 2016-03-12 CN CN201610140838.XA patent/CN105912743B/en not_active Expired - Fee Related
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP0889257A2 (en) * | 1997-07-04 | 1999-01-07 | Rejna S.p.A. | Improved-type leaf spring, in particular for a suspension of a vehicle |
| CN2816479Y (en) * | 2005-06-29 | 2006-09-13 | 青岛帅潮实业有限公司 | Multi-arc segment less-piece section-variable spring steel plate |
| 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 |
Non-Patent Citations (2)
| Title |
|---|
| 少片变截面钢板弹簧的设计方法;彭莫;《汽车工程》;19921230;第14卷(第3期);全文 |
| 少片变截面钢板弹簧结构设计与性能研究;朱晓博;《中国优秀硕士学位论文全文数据库工程科技II辑》;20110415;1 |
Also Published As
| Publication number | Publication date |
|---|---|
| CN105912743A (en) | 2016-08-31 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN105590009B (en) | The auxiliary spring that few piece major-minor spring is reinforced in non-end contact end works load checking method | |
| CN105608300B (en) | The design method of few piece parabolic type variable cross-section main spring end and 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 | |
| CN105526290A (en) | Method for designing gaps of end straight sections of diagonal few-leaf main springs and auxiliary springs | |
| CN105673753B (en) | The design method of the reinforced few piece variable-section steel sheet spring in end and root | |
| CN105653883A (en) | Method for checking useful load of auxiliary springs of non-end contact diagonal main and auxiliary spring | |
| CN105697625B (en) | The design method of few piece parabolic type iso-stress leaf spring of the non-equal structures in end | |
| CN105956270B (en) | End contact lacks the computational methods of piece reinforcement end each stress of major-minor spring | |
| CN105808863B (en) | The auxiliary spring that end contact lacks piece variable cross-section major-minor spring works load Method for Checking | |
| CN105912743B (en) | Design method of the reinforced few main spring of piece variable cross-section in root in end and auxiliary spring gap | |
| CN105808888A (en) | Method for designating thickness of root of end contact type few-leaf parabola-type variable-cross-section auxiliary spring | |
| CN105930563B (en) | End contact lacks the calculation method of piece parabolic type each stress of major-minor spring | |
| CN105825008B (en) | The auxiliary spring that non-end contact lacks piece variable cross-section major-minor spring works load Method for Checking | |
| CN105843988B (en) | The auxiliary spring of end contact bias type major-minor spring works the Method for Checking of load | |
| CN105550483A (en) | End-heterogeneous taper slanting leaf spring with variable cross-section | |
| CN105787189B (en) | Design method of the reinforced few main spring of piece in root in parabolic segment and auxiliary spring gap | |
| CN105678035B (en) | The auxiliary spring of the reinforced major-minor spring in non-end contact root works load Method for Checking | |
| CN106066900A (en) | The auxiliary spring of the reinforced few sheet major-minor spring of ends contact formula root works load checking method | |
| CN105912794B (en) | Non- end contact lacks the calculation method of piece parabolic type each stress of major-minor spring | |
| CN105930596A (en) | Design method for root thickness of end-contactless few-leaf root-enhanced sub-spring | |
| CN105843989B (en) | The auxiliary springs of the double reinforced few piece major-minor springs of non-end contact work load Method for Checking | |
| CN106015414B (en) | The Method for Checking of the few piece reinforcement end variable cross-section major-minor spring complex stiffness of ends contact formula | |
| CN105824997B (en) | Design method of the reinforced few main spring of piece in end and root in end and auxiliary spring gap | |
| CN105808861B (en) | Reinforcement end lacks the main spring of piece in the design method of end flat segments and auxiliary spring gap | |
| CN105825007B (en) | The auxiliary spring that end contact reinforcement end lacks piece major-minor spring works load Method for Checking |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| TA01 | Transfer of patent application right | ||
| TA01 | Transfer of patent application right |
Effective date of registration: 20190417 Address after: 262300 Xumeng Xinzhuang Village, Wulian County, Rizhao City, Shandong Province Applicant after: Shandong Hengri Bearing Spring Co., Ltd. Address before: 255049 School of traffic and vehicle engineering, Shandong University of Technology, 12 Zhang Zhou road, Zibo, Shandong Applicant before: Zhou Changcheng |
|
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20190521 Termination date: 20210312 |