CN105868494B - Non- end contact lacks the design method of piece parabolic type auxiliary spring root thickness - Google Patents
Non- end contact lacks the design method of piece parabolic type auxiliary spring root thickness Download PDFInfo
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Abstract
The present invention relates to the design methods that non-end contact lacks piece parabolic type auxiliary spring root thickness, belong to suspension leaf spring technical field.The present invention can be lacked according to non-end contact structural parameters, elasticity modulus, auxiliary spring length and the piece number of each main spring of piece parabolic type variable cross-section major-minor spring, auxiliary spring parabolic segment thickness than and major-minor spring complex stiffness design requirement value, the thickness of the root flat segments of each auxiliary spring is designed.By example and ANSYS simulating, verifying, the design method that non-end contact provided by the present invention lacks piece parabolic type auxiliary spring root thickness is correct, the design value of accurate, reliable auxiliary spring root flat segments thickness can be obtained using this method, ensure to meet suspension complex stiffness design requirement value, enhances product performance and vehicle ride comfort；Meanwhile design and testing expenses are reduced, accelerate product development speed.
Description
Technical field
The present invention relates to vehicle suspension leaf springs, are especially that non-end contact lacks piece parabolic type auxiliary spring root thickness
Design method.
Background technique
Since the stress of the 1st main spring of few piece variable cross-section major-minor spring is complicated, it is subjected to vertical load, while also subject to
Torsional load and longitudinal loading, therefore, the thickness and length of the end flat segments of the 1st main spring designed by reality are greater than him
The thickness and length of the end flat segments of each main spring, i.e., mostly using the non-few piece variable cross-section major-minor spring for waiting structures in end, with full
The requirement of the 1st main spring stress complexity of foot.In addition, generalling use different length to meet the design requirement of different composite rigidity
The auxiliary spring of degree, i.e. auxiliary spring contact and the main spring position being in contact are also different, therefore, can be divided into end flat segments contact and non-end
Two kinds of portion's contact, wherein in the case of identical auxiliary spring root thickness, it is straight to be less than end for the complex stiffness of non-end contact
The complex stiffness of section contact.The contact of major-minor spring is when working together, and the main spring of m piece is in addition to other than by endpoint power, also by auxiliary spring
The effect of the support force of contact causes the deformation of few piece variable cross-section major-minor spring and internal force to calculate extremely complex.Few piece variable cross-section master
The complex stiffness of auxiliary spring has great influence to vehicle driving ride comfort, therefore, it is necessary to the auxiliary spring of few piece variable cross-section major-minor spring
The thickness of root flat segments carries out careful design, to ensure to meet the design requirement of complex stiffness.However, due to the end of main spring
The non-equal structures of flat segments, the length of major-minor spring is unequal, major-minor spring deformation and internal force analysis calculate it is extremely complex, therefore, for
Non- end contact lacks piece parabolic type variable cross-section auxiliary spring root flat segments thickness, previously fails always to provide reliable design side
Method.Although previously once someone gives the design and calculation 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 variable-section steel sheet spring, mainly needle
Few piece parabolic type variable-section steel sheet spring of the structures such as end is designed and is calculated, shortcoming is not able to satisfy non-end and connects
The design requirement of piece parabolic type variable cross-section major-minor spring and auxiliary spring root thickness is lacked in touch.Project planner at present is mostly
Ignore the influence of major-minor spring Length discrepancy, Approximate Design directly is carried out to auxiliary spring root thickness by the design method of main spring, it is therefore, difficult
To obtain reliable auxiliary spring root thickness design value, it is not able to satisfy the essence that end contact lacks piece parabolic type variable cross-section major-minor spring
True design requirement.Therefore, it is necessary to which establishing accurate, the reliable non-end contact of one kind lacks piece parabolic type variable cross-section auxiliary spring root
The design method of thickness, to meet Vehicle Industry fast development and be wanted to few piece parabolic type variable cross-section major-minor spring careful design
It asks, improves design level, the product quality and performances of few piece parabolic type variable cross-section major-minor spring, it is ensured that it is compound just to meet major-minor spring
The design requirement of degree 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 non-end contact lacks the design method of piece parabolic type auxiliary spring root thickness, design flow diagram, as shown in Figure 1.
Non- end contact lacks the half symmetrical structure schematic diagram of piece parabolic type variable cross-section major-minor spring, as shown in Fig. 2, including,
Main spring 1, root shim 2, auxiliary spring 3, end pad 4 is straight between the root flat segments of main spring 1 each and with the root of auxiliary spring 3
It is equipped with root shim 2 between section, end pad 4 is equipped between the end flat segments of main spring 1, the material of end pad is carbon fiber
Composite material, to reduce frictional noise caused by spring works.The half length of each main spring is LM, it is straight by root
Section, parabolic segment and three sections of end flat segments are constituted, the root flat segments of each main spring with a thickness of h2M, clipping room away from one
Half is l3；The non-equal structures of the end flat segments of each main spring, i.e., the thickness and length of the end flat segments of the 1st main spring are big respectively
In the thickness and length of the end flat segments of other each main spring, the thickness and length of the end flat segments of each main spring are respectively
h1iAnd l1i, i=1,2 ..., m, m is the piece number of few main spring of piece variable cross-section；Intermediate variable cross-section is parabolic segment, each parabolic segment
Thickness ratio be βi=h1i/h2M, the horizontal distance of root to the main spring endpoint of parabolic segment is l2M=LM-l3.Each auxiliary spring
Half length is LA, auxiliary spring the piece number is n, and the structure of each auxiliary spring is identical, wherein auxiliary spring width is equal to main spring width, i.e. auxiliary spring
Width is b, and the horizontal distance of auxiliary spring contact and main spring endpoint is l0=LM-LA, the thickness h of auxiliary spring root flat segments2AIt is to be designed
Value, the thickness and length of the end flat segments of jth piece auxiliary spring are respectively hA1jAnd lA1j, and hA11=hA1j...=hA1n, lA11=
lA1j...=lA1n, i.e., the thickness and equal length of the end flat segments of each auxiliary spring；The thickness ratio of auxiliary spring parabolic segment is βA,
In, βA=hA1j/hA2, j=1,2 ..., n, n is the piece number of auxiliary spring.It is equipped with centainly between auxiliary spring contact and main spring parabolic segment
Major-minor spring gap delta, after load works load greater than auxiliary spring, auxiliary spring contact is in contact with certain point in main spring parabolic segment and is total to
With working, to meet major-minor spring complex stiffness and auxiliary spring works the design requirement of load, wherein major-minor spring it is compound just
Degree, it is not only related with main spring each structural parameters, but also the thickness with auxiliary spring the piece number, auxiliary spring length and auxiliary spring root flat segments
It spends related.The structural parameters of each main spring, elasticity modulus, auxiliary spring length, the thickness ratio of auxiliary spring parabolic segment, auxiliary spring the piece number,
And in the case of major-minor spring complex stiffness design requirement value, the auxiliary spring root for lacking piece variable cross-section major-minor spring to non-end contact is straight
Duan Houdu is designed.
In order to solve the above technical problems, non-end contact provided by the present invention lacks piece parabolic type auxiliary spring root thickness
Design method, it is characterised in that use following design procedure:
(1) the endpoint deformation coefficient G of each main spring of parabolic type variable cross-section under endpoint stress conditionx-DiIt calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, width b, elastic modulus E, main spring parabolic segment
Horizontal distance l of the root to main spring endpoint2M, main reed number m, wherein the thickness ratio β of the parabolic segment of i-th main springi, wherein
I=1,2 ..., m, to the endpoint deformation coefficient G of each main spring under endpoint stress conditionx-DiIt is calculated, i.e.,
(2) deformation coefficient G of the main spring of m piece under endpoint stress condition at parabolic segment and auxiliary spring contact pointx-BCMeter
It calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, width b, elastic modulus E, main spring parabolic segment
Horizontal distance l of the root to main spring endpoint2M, the horizontal distance l of auxiliary spring contact and main spring endpoint0, main reed number m, to endpoint by
Deformation coefficient G of the main spring of m piece at parabolic segment and auxiliary spring contact point in the case of powerx-BCIt is calculated, i.e.,
(3) the endpoint deformation coefficient G of the main spring of m piece under the stress condition of major-minor spring contact pointx-DpmIt calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, width b, elastic modulus E, main spring parabolic segment
Horizontal distance l of the root to main spring endpoint2M, the horizontal distance l of auxiliary spring contact and main spring endpoint0, main reed number m, to major-minor spring
Deformation coefficient G of the main spring of m piece at endpoint location at contact point under stress conditionx-DpmIt is calculated, i.e.,
(4) deformation coefficient of the main spring of m piece under the stress condition of major-minor spring contact point in parabolic segment and auxiliary spring contact point
Gx-BCpIt calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, width b, elastic modulus E, main spring parabolic segment
Horizontal distance l of the root to main spring endpoint2M, the horizontal distance l of auxiliary spring contact and main spring endpoint0, main reed number m, to major-minor spring
Deformation coefficient G of the main spring of m piece at parabolic segment and auxiliary spring contact point at contact point under stress conditionx- BCp is counted
It calculates, i.e.,
(5) total endpoint deformation coefficient G of the n piece superposition auxiliary spring under endpoint stress conditionx-DATIt calculates:
According to the half length L of few piece parabolic type variable cross-section auxiliary springA, auxiliary spring the piece number n, width b, elastic modulus E, auxiliary spring
Horizontal distance l of the root of parabolic segment to main spring endpoint2A, the thickness ratio β of the parabolic segment of each auxiliary springA, n piece is superimposed secondary
Total endpoint deformation coefficient G of springx-DATIt is calculated, i.e.,
(6) non-end contact lacks the auxiliary spring root flat segments thickness h of piece parabolic type major-minor spring2ADesign:
According to the complex stiffness design requirement value K of major-minor springMAT, main reed number m, the thickness of the root flat segments of each main spring
Spend h2M, step (1) is middle to calculate obtained Gx-Di, the G that is calculated in step (2)x-BC, it is calculated in step (3)
Gx-Dpm, the G that is calculated in step (4)x-BCpAnd obtained G is calculated in step (5)x-DAT, piece is lacked to non-end contact
The auxiliary spring root flat segments thickness h of parabolic type variable cross-section major-minor spring2AIt is designed, i.e.,
The present invention has the advantage that than the prior art
Due to the non-equal structures of the end flat segments of main spring, meanwhile, major-minor spring length is unequal, and the main spring of m piece is in addition to receiving end
It puts except power, also by the effect of auxiliary spring contact support power, the analytical calculation of the deformation and internal force of lacking piece variable cross-section major-minor spring is very
Therefore complexity previously fails always to provide the design method that non-end contact lacks piece variable cross-section auxiliary spring root thickness.The present invention
It can be according to the structural parameters of each main spring, elasticity modulus, auxiliary spring length, auxiliary spring the piece number, the thickness ratio of auxiliary spring parabolic segment and master
The complex stiffness design requirement value of auxiliary spring gives in situation, and each root of piece parabolic type variable cross-section auxiliary spring is lacked to end contact
The thickness of portion's flat segments is designed.By design example and ANSYS simulating, verifying it is found that using this method can be obtained it is accurate,
Reliable non-end contact lacks the design value of piece variable cross-section auxiliary spring root thickness, lacks the change of piece parabolic type for non-end contact
Auxiliary spring root thickness design in section provides reliable design method, and lacks piece parabolic type variable cross-section for non-end contact
Reliable technical foundation has been established in the CAD software exploitation of major-minor spring.Setting for few piece variable cross-section major-minor spring can be improved using this method
Meter level, product quality and performances, it is ensured that meet suspension to the design requirement of major-minor spring complex stiffness, it is smooth to improve vehicle driving
Property；Meanwhile bearing spring quality and cost can be also reduced, design and testing expenses are reduced, product development speed is accelerated.
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 the design flow diagram for the auxiliary spring root thickness that non-end contact lacks piece parabolic type variable cross-section major-minor spring；
Fig. 2 is the half symmetrical structure schematic diagram that non-end contact lacks piece parabolic type variable cross-section major-minor spring；
Fig. 3 is that the non-end contact of embodiment one lacks the ANSYS deformation simulation cloud of piece parabolic type variable cross-section major-minor spring
Figure；
Fig. 4 is that the non-end contact of embodiment two lacks the ANSYS deformation simulation cloud of piece parabolic type variable cross-section major-minor spring
Figure.
Specific embodiment
Below by embodiment, invention is further described in detail.
Embodiment one: certain non-end contact lacks the width b=60mm of piece parabolic type variable cross-section major-minor spring, clipping room away from
Half l3=55mm, elastic modulus E=200GPa；Wherein, main reed number m=2, the half length L of main springM=575mm, it is main
Horizontal distance l of the parabolical root of spring to main spring endpoint2M=LM-l3=520mm；The thickness of the root flat segments of each main spring
h2M=11mm, the thickness h of the end flat segments of the 1st main spring11=7mm, the thickness ratio β of the parabolic segment of the 1st main spring1=
h11/h2MThe thickness h of the end flat segments of=0.64, the 2nd main spring12=6mm, the thickness ratio β of the parabolic segment of the 2nd main spring2
=h12/h2M=0.55.Auxiliary spring the piece number n=1, the half length L of auxiliary springA=375mm, auxiliary spring contact and main spring endpoint it is horizontal away from
From l0=LM-LA=200mm, the horizontal distance l of the root of auxiliary spring parabolic segment to auxiliary spring endpoint2A=LA-l3=320mm, auxiliary spring
Parabolic segment thickness ratio βA=0.57, the complex stiffness design requirement value K of major-minor springMAT=76.42N/mm.According to each
Structural parameters, auxiliary spring length and the piece number of main spring, elasticity modulus and major-minor spring complex stiffness design requirement value, connect the non-end
The auxiliary spring root thickness that piece parabolic type variable cross-section major-minor spring is lacked in touch is designed.
Non- end contact provided by present example lacks the design method of piece parabolic type auxiliary spring root thickness, sets
Process is counted as shown in Figure 1, specific design procedure is as follows:
(1) the endpoint deformation coefficient G of each main spring of parabolic type variable cross-section under endpoint stress conditionx-DiIt calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM=575mm, width b=60mm, elastic modulus E=
200GPa, the horizontal distance l of the main parabolical root of spring to main spring endpoint2M=520mm, main reed number m=2, wherein the 1st
The thickness ratio β of the parabolic segment of main spring1The thickness ratio β of the parabolic segment of=0.64, the 2nd main spring2=0.55, to endpoint stress
In the case of the 1st main spring and the 2nd main spring endpoint deformation coefficient Gx-D1And Gx-D2It is respectively calculated, i.e.,
(2) deformation coefficient G of the main spring of m piece under endpoint stress condition at parabolic segment and auxiliary spring contact pointx-BCMeter
It calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM=575mm, width b=60mm, elastic modulus E=
200GPa, the horizontal distance l of the root of main spring parabolic segment to main spring endpoint2M=520mm, the water of auxiliary spring contact and main spring endpoint
Flat distance l0=200mm, main reed number m=2 contact the 2nd main spring under endpoint stress condition in parabolic segment with auxiliary spring
Deformation coefficient G at pointx-BCIt is calculated, i.e.,
(3) the endpoint deformation coefficient G of the main spring of m piece under the stress condition of major-minor spring contact pointx-Dp2It calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM=575mm, width b=60mm, elastic modulus E=
200GPa, the horizontal distance l of the root of main spring parabolic segment to main spring endpoint2M=520mm, the water of auxiliary spring contact and main spring endpoint
Flat distance l0=200mm, main reed number m=2 deform system to the endpoint of the 2nd main spring under the stress condition of major-minor spring contact point
Number Gx-Dp2It is calculated, i.e.,
(4) deformation system of the main spring of m piece under the stress condition of major-minor spring contact point at parabolic segment and auxiliary spring contact point
Number Gx-BCpIt calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM=575mm, width b=60mm, elastic modulus E=
200GPa, the horizontal distance l of the root of main spring parabolic segment to main spring endpoint2M=520mm, the water of auxiliary spring contact and main spring endpoint
Flat distance l0=200mm, main reed number m=2, to the 2nd main spring under the stress condition of major-minor spring contact point parabolic segment with
Deformation coefficient G at auxiliary spring contact pointx-BCpIt is calculated, i.e.,
(5) total endpoint deformation coefficient G of the n piece superposition auxiliary spring under endpoint stress conditionx-DATIt calculates:
According to the half length L of few piece parabolic type variable cross-section auxiliary springA=375mm, width b=60mm, elastic modulus E=
200GPa, the horizontal distance l of the root of auxiliary spring parabolic segment to auxiliary spring endpoint2A=320mm, the thickness of the parabolic segment of the piece auxiliary spring
Degree compares βA=0.57, auxiliary spring the piece number n=1, to the deformation coefficient G of the piece auxiliary spring endpoint of n piece superposition auxiliary springx-DATIt is calculated,
I.e.
(6) non-end contact lacks the auxiliary spring root flat segments thickness h of piece parabolic type major-minor spring2ADesign:
According to the complex stiffness design requirement value K of major-minor springMAT=76.42N/mm, main reed number m=2, each main spring
The thickness h of root flat segments2M=11mm, step (1) is middle to calculate obtained Gx-D1=98.16mm4/ N and Gx-D2=
102.63mm4/ N, the G being calculated in step (2)x-BC=40.77mm4/ N, the G being calculated in step (3)x-Dp2=
40.77mm4/ N, the G being calculated in step (4)x-BCp=21.35mm4Obtained G is calculated in/N and step (5)x-DAT=
26.46mm4/ N lacks the auxiliary spring root thickness h of piece parabolic type variable cross-section major-minor spring to the non-end contact2AIt is designed,
I.e.
Using ANSYS finite element emulation software, piece parabolic type variable cross-section major-minor spring is lacked according to the non-end contact
Structural parameters and material characteristic parameter, and the auxiliary spring root thickness h that design obtains2A=14mm establishes half symmetrical structure major-minor
The ANSYS simulation model of spring, grid division, setting auxiliary spring endpoint is contacted with main spring, and is applied in the root of simulation model and fixed
Constraint applies concentrfated load F=1840N in main spring endpoint, carries out to the deformation for lacking piece parabolic type variable cross-section major-minor spring
ANSYS emulation, the ANSYS deformation simulation cloud atlas of obtained major-minor spring, as shown in Figure 3, wherein major-minor spring is at endpoint location
Maximum deformation quantity fDSmax=48.00mm.It is found that the complex stiffness simulating, verifying value K of the non-end contact major-minor springMAT=
2F/fDSmax=76.67N/mm.
It is found that the complex stiffness simulating, verifying value K of the major-minor springMAT=76.67N/mm, with design requirement value KMAT=
76.42N/mm matches, and relative deviation is only 0.33%；The result shows that non-end contact provided by the invention lacks piece parabolic
The design method of line style variable cross-section auxiliary spring root thickness is correctly that auxiliary spring root flat segments thickness design value is accurate, reliable
's.
Embodiment two: certain non-end contact lacks the width b=60mm of piece parabolic type variable cross-section major-minor spring, clipping room away from
Half l3=60mm, elastic modulus E=200GPa, wherein main reed number m=2, the half length L of main springM=600mm, respectively
The thickness h of the root flat segments of the main spring of piece2M=12mm, the horizontal distance l of the root of main spring parabolic segment to main spring endpoint2M=
LM-l3=540mm；The end flat segments thickness h of 1st main spring11=8mm, the thickness ratio β of the parabolic segment of the 1st main spring1=
h11/h2MThe end flat segments thickness h of=0.67, the 2nd main spring12=7mm, the thickness ratio β of the parabolic segment of the 2nd main spring2=
h12/h2M=0.58.Auxiliary spring the piece number n=1, the half length L of auxiliary springA=410mm, the horizontal distance of auxiliary spring contact and main spring endpoint
l0=LM-LA=190mm, the horizontal distance l of the root of auxiliary spring parabolic segment to auxiliary spring endpoint2A=LA-l3=350mm, auxiliary spring are thrown
The thickness ratio β of object line segmentA=0.62.The complex stiffness design requirement value K of the major-minor springMAT=83.44N/mm, according to each master
The structural parameters of spring, elasticity modulus, auxiliary spring length, auxiliary spring the piece number, auxiliary spring parabolic segment thickness than and major-minor spring it is compound just
Design requirement value is spent, the auxiliary spring root thickness for lacking piece parabolic type variable cross-section major-minor spring to the non-end contact is designed.
Using the design method and step being the same as example 1, piece parabolic type variable cross-section is lacked to the non-end contact
The auxiliary spring root thickness of major-minor spring is designed, and specific design procedure is as follows:
(1) the endpoint deformation coefficient G of each main spring of parabolic type variable cross-section under endpoint stress conditionx-DiIt calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM=600mm, width b=60mm, elastic modulus E=
200GPa, the horizontal distance l of the root of main spring parabolic segment to main spring endpoint2M=540mm, main reed number m=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=0.67, the 2nd main spring2=0.58, to endpoint by
The endpoint deformation coefficient G of the 1st main spring and the 2nd main spring in the case of powerx-D1And Gx-D2It is respectively calculated, i.e.,
(2) deformation coefficient G of the main spring of m piece under endpoint stress condition at parabolic segment and auxiliary spring contact pointx-BCMeter
It calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM=600mm, width b=60mm, elastic modulus E=
200GPa, the horizontal distance l of the root of main spring parabolic segment to main spring endpoint2M=540mm, the water of auxiliary spring contact and main spring endpoint
Flat distance l0=190mm, main reed number m=2 contact the 2nd main spring under endpoint stress condition in parabolic segment with auxiliary spring
Deformation coefficient G at pointx-BCIt is calculated, i.e.,
(3) the endpoint deformation coefficient G of the main spring of m piece under the stress condition of major-minor spring contact pointx-Dp2It calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM=600mm, width b=60mm, elastic modulus E=
200GPa, the horizontal distance l of the root of main spring parabolic segment to main spring endpoint2M=540mm, the water of auxiliary spring contact and main spring endpoint
Flat distance l0=190mm, main reed number m=2, to the 2nd main spring under the stress condition of major-minor spring contact point at endpoint location
Deformation coefficient Gx-Dp2It is calculated, i.e.,
(4) deformation system of the main spring of m piece under the stress condition of major-minor spring contact point at parabolic segment and auxiliary spring contact point
Number Gx-BCpIt calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM=600mm, width b=60mm, elastic modulus E=
200GPa, the horizontal distance l of the root of main spring parabolic segment to main spring endpoint2M=540mm, the water of auxiliary spring contact and main spring endpoint
Flat distance l0=190mm, main reed number m=2, to the 2nd main spring under the stress condition of major-minor spring contact point parabolic segment with
Deformation coefficient G at auxiliary spring contact pointx-BCpIt is calculated, i.e.,
(5) total endpoint deformation coefficient G of the n piece superposition auxiliary spring under endpoint stress conditionx-DATIt calculates:
According to the half length L of few piece parabolic type variable cross-section auxiliary springA=410mm, width b=60mm, elastic modulus E=
200GPa, the horizontal distance l of the root of auxiliary spring parabolic segment to auxiliary spring endpoint2A=LA-l3=350mm, the parabolic segment of auxiliary spring
Thickness ratio βA=0.62, auxiliary spring the piece number n=1, to total endpoint deformation coefficient G of n piece auxiliary springx-DATIt is calculated, i.e.,
(6) non-end contact lacks the auxiliary spring root flat segments thickness h of piece parabolic type major-minor spring2ADesign:
According to the complex stiffness design requirement value K of major-minor springMAT=83.44N/mm, main reed number m=2, each main spring
The thickness h of root flat segments2M=12mm, the G being calculated in step (1)x-D1=108.70mm4/ N and Gx-D2=
114.25mm4/ N, the G being calculated in step (2)x-BC=51.00mm4/ N, the G being calculated in step (3)x-Dp2=
51.00mm4/ N, the G being calculated in step (4)x-BCp=28.33mm4Obtained G is calculated in/N and step (5)x-DAT=
33.86mm4/ N lacks the auxiliary spring root flat segments thickness h of piece parabolic type variable cross-section major-minor spring to the non-end contact2AIt carries out
Design, i.e.,
Using ANSYS finite element emulation software, the structural parameters and material of piece parabolic type variable cross-section major-minor spring are lacked according to this
Expect characterisitic parameter, and the auxiliary spring root thickness h that design obtains2A=13mm establishes the ANSYS emulation of half symmetrical structure major-minor spring
Model, grid division, setting auxiliary spring endpoint are contacted with main spring, and apply fixed constraint in the root of simulation model, at main spring end
Point applies concentrfated load F=2000N, carries out ANSYS emulation to the deformation for lacking piece parabolic type variable cross-section major-minor spring, acquired
Major-minor spring ANSYS deformation simulation cloud atlas, as shown in Figure 4, wherein maximum deformation quantity f of the major-minor spring at endpoint locationDSmax
=47.50mm.It is found that the non-end contact lacks the simulating, verifying value K of piece parabolic type variable cross-section major-minor spring complex stiffnessMAT
=2F/fDSmax=84.21N/mm.
It is found that major-minor spring complex stiffness simulating, verifying value KMAT=84.21N/mm, with design requirement value KMAT=
83.44N/mm matches, and relative deviation is only 0.91%；The result shows that non-end contact provided by the invention lacks piece parabolic
The design method of line style variable cross-section auxiliary spring root thickness is correctly that auxiliary spring root flat segments thickness design value is accurate, reliable
's.
Claims (1)
1. the design method that non-end contact lacks piece parabolic type auxiliary spring root thickness, wherein few piece parabolic type variable cross-section
The half symmetrical structure of major-minor spring is made of root flat segments, parabolic segment and three sections of end flat segments, wherein each main spring
The non-equal structures of end flat segments, i.e., the thickness and length of the end flat segments of the 1st main spring, respectively greater than other each main spring end
The thickness and length of portion's flat segments；Auxiliary spring length is less than main spring length, when load auxiliary spring works load, auxiliary spring contact and master
Certain point is in contact in spring parabolic segment, to meet the complex stiffness design requirement of few piece parabolic type variable cross-section major-minor spring；Each
Structural parameters, auxiliary spring length and the piece number of the main spring of piece, elasticity modulus and major-minor spring complex stiffness design requirement value give in situation,
The auxiliary spring root flat segments thickness for lacking piece parabolic type major-minor spring to non-end contact is designed, and specific design procedure is such as
Under:
(1) the endpoint deformation coefficient G of each main spring of parabolic type variable cross-section under endpoint stress conditionx-DiIt calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, width b, elastic modulus E, the root of main spring parabolic segment
To the horizontal distance l of main spring endpoint2M, main reed number m, wherein the thickness ratio β of the parabolic segment of i-th main springi, wherein i=
1,2 ..., m, to the endpoint deformation coefficient G of each main spring under endpoint stress conditionx-DiIt is calculated, i.e.,
(2) deformation coefficient G of the main spring of m piece under endpoint stress condition at parabolic segment and auxiliary spring contact pointx-BCIt calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, width b, elastic modulus E, the root of main spring parabolic segment
To the horizontal distance l of main spring endpoint2M, the horizontal distance l of auxiliary spring contact and main spring endpoint0, main reed number m, to endpoint stress feelings
Deformation coefficient G of the main spring of m piece at parabolic segment and auxiliary spring contact point under conditionx-BCIt is calculated, i.e.,
(3) the endpoint deformation coefficient G of the main spring of m piece under the stress condition of major-minor spring contact pointx-DpmIt calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, width b, elastic modulus E, the root of main spring parabolic segment
To the horizontal distance l of main spring endpoint2M, the horizontal distance l of auxiliary spring contact and main spring endpoint0, main reed number m, to the contact of major-minor spring
Deformation coefficient G of the main spring of m piece at endpoint location at point under stress conditionx-DpmIt is calculated, i.e.,
(4) deformation coefficient G of the main spring of m piece under the stress condition of major-minor spring contact point in parabolic segment Yu auxiliary spring contact pointx-BCp
It calculates:
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, width b, elastic modulus E, the root of main spring parabolic segment
To the horizontal distance l of main spring endpoint2M, the horizontal distance l of auxiliary spring contact and main spring endpoint0, main reed number m, to the contact of major-minor spring
Deformation coefficient G of the main spring of m piece at parabolic segment and auxiliary spring contact point at point under stress conditionx-BCpIt is calculated, i.e.,
(5) total endpoint deformation coefficient G of the n piece superposition auxiliary spring under endpoint stress conditionx-DATIt calculates:
According to the half length L of few piece parabolic type variable cross-section auxiliary springA, auxiliary spring the piece number n, width b, elastic modulus E, auxiliary spring parabolic
Horizontal distance l of the root of line segment to main spring endpoint2A, the thickness ratio β of the parabolic segment of each auxiliary springA, to n piece superposition auxiliary spring
Total endpoint deformation coefficient Gx-DATIt is calculated, i.e.,
(6) non-end contact lacks the auxiliary spring root flat segments thickness h of piece parabolic type major-minor spring2ADesign:
According to the complex stiffness design requirement value K of major-minor springMAT, main reed number m, the thickness h of the root flat segments of each main spring2M,
Obtained G is calculated in step (1)x-Di, the G that is calculated in step (2)x-BC, the G that is calculated in step (3)x-Dpm, step
Suddenly the G being calculated in (4)x-BCpAnd obtained G is calculated in step (5)x-DAT, piece parabolic type is lacked to non-end contact
The auxiliary spring root flat segments thickness h of variable cross-section major-minor spring2AIt is designed, i.e.,
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