CN105912757B - End contact lacks the strength check methods of piece parabolic type variable cross-section major-minor spring - Google Patents
End contact lacks the strength check methods of piece parabolic type variable cross-section major-minor spring Download PDFInfo
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Abstract
The present invention relates to the strength check methods that end contact lacks piece parabolic type variable cross-section major-minor spring, belong to suspension leaf spring technical field.The maximum load that structural parameters, elasticity modulus, allowable stress, the auxiliary spring of each main spring and auxiliary spring that the present invention can lack piece parabolic type variable cross-section major-minor spring according to end contact work load and major-minor spring is born, checks each main spring and auxiliary spring stress intensity.By example and simulating, verifying, the strength check methods that end contact provided by the invention lacks piece parabolic type variable cross-section major-minor spring are correct, the stress intensity check value of each main spring and auxiliary spring is accurately and reliably, design level, product quality and the service life and vehicle driving ride comfort that end contact lacks piece parabolic type variable cross-section major-minor leaf spring to can be improved using this method；Meanwhile design and testing expenses can be also reduced, accelerate product development speed.
Description
Technical field
The present invention relates to vehicle suspension leaf spring, especially end contacts to lack piece parabolic type variable cross-section major-minor spring
Strength check methods.
Background technique
In order to meet the light-weighted design requirement of vehicle suspension, light truck suspension leaf spring is mostly using few piece parabolic at present
Line variable cross-section major-minor spring.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, together
When 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
Degree, greater than the thickness and length of the end flat segments of other each main spring, i.e., mostly using the non-few piece variable cross-section for waiting structures in end
Leaf spring, to meet the requirement of the 1st main spring stress complexity.In addition, leading to meet the design requirement of different composite rigidity
It is different according to auxiliary spring contact and main the spring position of contact that connects frequently with the auxiliary spring of different length, few piece parabola variable cross-section master
Auxiliary spring can be divided into end contact and non-end contact.Piece parabolic type variable cross-section major-minor spring is lacked to end contact, works as plate
Spring institute is loaded be greater than auxiliary spring work load when, auxiliary spring contact is in contact and works together with certain point in the flat segments of main spring end
When, wherein the main spring of m piece is in addition to other than by endpoint power, effect of the flat segments also by auxiliary spring contact support power in end.In order to
Meet the requirement of service life and Reliable Design, it is necessary to which each of piece parabolic type variable cross-section major-minor spring is lacked to designed end contact
Piece stress intensity carries out calculation and check.However due to the non-equal structures of main spring each end flat segments, the length of auxiliary spring and main spring
Unequal, the calculating of the endpoint power of each main spring and auxiliary spring after major-minor contact is extremely complex, previously fails always to outlet
Portion's contact lacks each main spring and each auxiliary spring stress intensity check method of piece parabolic type variable cross-section major-minor spring.Therefore, must
The check method that accurate, the reliable end contact of one kind lacks piece parabolic type variable cross-section major-minor spring stress intensity must be established, it is full
The requirement of the des ign and strength checking of the fast-developing and few piece parabolic type variable cross-section major-minor spring of sufficient Vehicle Industry improves few piece and throws
Design level, product quality and the service life and vehicle driving ride comfort of object line style variable cross-section major-minor spring；Meanwhile reducing product
Product development speed is accelerated in design and testing expenses.
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 end contact lacks the strength check methods of piece parabolic type variable cross-section major-minor spring, design flow diagram, such as Fig. 1 institute
Show.It is symmetrical structure that end contact, which lacks piece parabolic type variable cross-section major-minor spring, and it is different that the half of major and minor spring can regard length as
Cantilever beam, clipping room away from center regard the root of cantilever beam as, the stress point of major and minor spring regards the endpoint of cantilever beam, major-minor spring as
Half symmetrical structure schematic diagram, as shown in Fig. 2, including：Main spring 1, root shim 2, auxiliary spring 3, end pad 4, wherein few piece
The half symmetrical structure of the main spring 1 of parabolic type variable cross-section and auxiliary spring 3 is by root flat segments, parabolic segment, three sections of end flat segments
It constitutes；The half length of main spring 1 each is LM, root flat segments are with a thickness of h2, clipping room away from half l3；The end of each main spring
Portion's flat segments are non-isomorphic, i.e., the thickness and length of the end flat segments of the 1st main spring, respectively greater than other each thickness and length
Degree；The thickness and length of each end flat segments are respectively h1iAnd l1i；The distance of the root of parabolic segment to main spring endpoint is l2M
=LM-l3, the thickness ratio β of parabolic segmenti=h1i/h2.Root flat segments between the root flat segments of main spring 1 and with auxiliary spring 3 it
Between, it is provided with root shim 2；Between the end flat segments of main spring 1, it is provided with end pad 4, the material of end pad 4 is carbon
Fibrous composite, to reduce frictional noise when spring works.Auxiliary spring 3 each half length is LA, the endpoint of auxiliary spring 3
Horizontal distance to main 1 endpoint of spring is l0；The root flat segments of auxiliary spring with a thickness of h2A, the thickness of each auxiliary spring end flat segments
It is respectively h with lengthA1jAnd lA1j, the distance of root to the auxiliary spring endpoint of parabolic segment is l2A=LA-l3, each parabolic segment
Thickness ratio βAj=hA1j/h2A.Vertical range between auxiliary spring contact and main spring end flat segments is main auxiliary spring gap delta；Work as load
Work load greater than auxiliary spring, auxiliary spring contact is in contact with certain point in the flat segments of main spring end, major-minor spring each endpoint power and
Maximum stress is all different.It is given in major-minor spring each structural parameters, allowable stress, maximum load, the auxiliary spring load that works
In the case of, the stress intensity for lacking piece parabolic type major-minor spring each to end contact is checked.
In order to solve the above technical problems, end contact provided by the present invention lacks piece parabolic type variable cross-section major-minor spring
Strength check methods, it is characterised in that use following check step：
(1) half for each main spring and auxiliary spring that end contact lacks piece parabolic type variable cross-section major-minor spring clamps rigidimeter
It calculates：
I step：The half of each main spring before the contact of major-minor spring clamps stiffness KMiIt calculates：
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, main reed number m, the root flat segments of each main spring
Thickness h2M, width b, elastic modulus E, clipping room away from half l3, the distance of the root of main spring parabolic segment to main spring endpoint
l2M, the thickness ratio β of the parabolic segment of i-th main springi, wherein i=1,2 ..., m, to each main spring before the contact of major-minor spring
Half clamp stiffness KMiIt is calculated, i.e.,
In formula,
II step：The half of each main spring after the contact of major-minor spring clamps stiffness KMAiIt calculates：
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, main reed number m, the root flat segments of each main spring
Thickness h2M, width b, elastic modulus E, clipping room away from half l3, the distance of the root of main spring parabolic segment to main spring endpoint
l2M, the thickness ratio β of the parabolic segment of i-th main springi, wherein i=1,2 ..., m；The half length L of auxiliary springA, auxiliary spring the piece number n,
The thickness h of each auxiliary spring root flat segments2A, the horizontal distance l of auxiliary spring contact and main spring endpoint0, the root of auxiliary spring parabolic segment
To the distance l of auxiliary spring endpoint2A, the thickness ratio β of the parabolic segment of jth piece auxiliary springAj, wherein j=1,2 ..., n connect major-minor spring
The half of each main spring after touching clamps stiffness KMAiIt is calculated, i.e.,
In formula,
Wherein, βmFor m piece master
The thickness ratio of the parabolic segment of spring；
III step：The half of each auxiliary spring clamps stiffness KAjIt calculates：
According to the half length L of few piece parabolic type variable cross-section auxiliary springA, auxiliary spring the piece number n, the root flat segments of each auxiliary spring
Thickness h2A, width b, elastic modulus E, clipping room away from half l3, the distance of the root of auxiliary spring parabolic segment to auxiliary spring endpoint
l2A；The thickness ratio β of the parabolic segment of jth piece auxiliary springAj, wherein j=1,2 ..., n clamp stiffness K to the half of each auxiliary springAj
It is calculated, i.e.,
In formula,
(2) end contact lacks each main spring of piece parabolic type variable cross-section major-minor spring and the maximum endpoint power meter of auxiliary spring
It calculates：
I step：The maximum endpoint power of each main spring calculates：
According to end contact lack piece parabolic type variable cross-section major-minor spring suffered by maximum load half, that is, single-ended point it is maximum
Load pmax, auxiliary spring works load pK, the K that is calculated in main reed number m, I stepMiAnd it is calculated in II step obtained
KMAi, to the maximum endpoint power P of each main springimaxIt is calculated, i.e.,
Ii step：The maximum endpoint power of each auxiliary spring calculates：
According to the half of maximum load suffered by few piece parabolic type variable cross-section major-minor spring, that is, single-ended maximum load Pmax, secondary
Spring works load pK；Main reed number m, the thickness h of each main spring root flat segments2M；Auxiliary spring the piece number n, each auxiliary spring root are flat
The thickness h of straight section2A, the K that is calculated in II stepMAi、Gx-CD、Gx-CDzAnd Gx-DATAnd the K being calculated in III stepAj,
To the maximum endpoint power P of each auxiliary springAjmaxIt is calculated, i.e.,
(3) maximum stress for each main spring and auxiliary spring that end contact lacks piece parabolic type variable cross-section major-minor spring calculates：
Step A：The maximum stress of the preceding main spring of m-1 piece calculates：
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, main reed number m, each main spring root flat segments
Thickness h2M, width b, clipping room away from half l3, the P that is calculated in i stepimax, the maximum stress of the main spring of preceding m-1 is carried out
It calculates, i.e.,
Step B：The maximum stress of the main spring of m piece calculates：
According to the thickness h of the root flat segments of few main spring of piece parabolic type variable cross-section2M, width b, the root of main spring parabolic segment
Distance l of the portion to main spring endpoint2M, the thickness ratio β of the parabolic segment of the main spring of m piecem, auxiliary spring contact and main spring endpoint it is horizontal away from
From l0, the P that is calculated in i stepmmax, the P that is calculated in ii stepAjmax, the maximum stress of the main spring of m piece is counted
It calculates, i.e.,
Step C：The maximum stress of each auxiliary spring calculates：
According to the half length L of few piece parabolic type variable cross-section auxiliary springA, auxiliary spring the piece number n, each auxiliary spring root flat segments
Thickness h2A, width b, clipping room away from half l3, the P that is calculated in ii stepAjmax, the maximum stress of each auxiliary spring is carried out
It calculates, i.e.,
(4) stress intensity for each main spring and auxiliary spring that end contact lacks piece parabolic type variable cross-section major-minor spring is checked：
1. step：The stress intensity of the preceding main spring of m-1 piece is checked：
According to each maximum of the preceding main spring of m-1 piece being calculated in the allowable stress [σ] and step A of leaf spring
Stress, each stress intensity for lacking the preceding main spring of m-1 piece of piece parabolic type variable cross-section major-minor spring to end contact carry out school
Core, i.e.,：
If σimax>[σ], then i-th main spring, is unsatisfactory for stress intensity requirement；
If σimax≤ [σ], then i-th main spring, meets stress intensity requirement, i=1,2 ..., m-1；
2. step：The stress intensity of the main spring of m piece is checked：
According to the maximum stress for the main spring of m piece being calculated in the allowable stress [σ] and step B of leaf spring, opposite end
The stress intensity that portion's contact lacks the main spring of m piece of piece parabolic type variable cross-section major-minor spring is checked, i.e.,：
If σmmax>[σ], then the main spring of m piece, is unsatisfactory for stress intensity requirement；
If σmmax≤ [σ], then the main spring of m piece, meets stress intensity requirement；
3. step：The stress intensity of each auxiliary spring is checked：
According to the maximum stress for each auxiliary spring being calculated in the allowable stress [σ] and step C of leaf spring, opposite end
The stress intensity that portion's contact lacks each auxiliary spring of piece parabolic type variable cross-section major-minor spring is checked, i.e.,：
If σAjmax>[σ], then jth piece auxiliary spring, is unsatisfactory for stress intensity requirement；
If σAjmax≤ [σ], then jth piece auxiliary spring, meets stress intensity requirement, j=1,2 ..., n.
The present invention has the advantage that than the prior art
The non-equal structures of the main spring end flat segments that piece parabolic type variable cross-section major-minor spring is lacked due to end contact, and auxiliary spring
Length is less than the length of main spring, meanwhile, the main spring of m piece is in addition to other than by endpoint power, also in end flat segments by auxiliary spring contact branch
The effect of support force, therefore, the endpoint power calculating of each main spring and auxiliary spring are extremely complex, previously fail always to provide end contact
The check method of few piece parabolic type variable cross-section major-minor spring stress intensity.The present invention can lack piece parabolic type according to end contact
Each main spring of variable cross-section major-minor spring and structural parameters, elasticity modulus, allowable stress, the auxiliary spring of auxiliary spring work load, major-minor
The maximum load that spring is born lacks the stress of each main spring and auxiliary spring of piece parabolic type variable cross-section major-minor spring to end contact
Intensity is checked.By checking example and ANSYS simulating, verifying it is found that end contact provided by the invention lacks piece parabolic
The strength check methods of line style variable cross-section major-minor spring are that correctly, the maximum stress calculation and check value of each main spring and auxiliary spring is quasi-
It is really reliable.Using this method can be improved end contact lack piece parabolic type variable cross-section major-minor leaf spring design level,
Product quality and service life and vehicle driving ride comfort；Meanwhile design and testing expenses can be also reduced, accelerate product development
Speed.
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 flow chart that end contact lacks that each stress intensity of piece parabolic type variable cross-section major-minor spring is checked；
Fig. 2 is the half symmetrical structure schematic diagram that end contact lacks piece parabolic type variable cross-section major-minor spring；
Fig. 3 is the maximum stress emulation cloud atlas of the 1st main spring of embodiment；
Fig. 4 is the maximum stress emulation cloud atlas of the 2nd main spring of embodiment；
Fig. 5 is the maximum stress emulation cloud atlas of 1 auxiliary spring of embodiment.
Specific embodiment
Below by embodiment, invention is further described in detail.
Embodiment：Certain contact lacks the main reed number m=2 of piece parabolic type variable cross-section major-minor spring, wherein each main spring
Half length LM=575mm, width b=60mm, elastic modulus E=200GPa, allowable stress [σ]=700MPa, clipping room
Away from half l3=55mm, the distance l of the root of the parabolic segment of each main spring to main spring endpoint2M=LM-l3=520mm, each
The thickness h of the root flat segments of main spring2M=11mm；The thickness h of the end flat segments of 1st main spring11=7mm, the 1st main spring
Parabolic segment thickness ratio β1=h11/h2M=0.64；The thickness h of the end flat segments of 2nd main spring12=6mm, the 2nd master
The thickness ratio β of the parabolic segment of spring2=h12/h2M=0.55.Auxiliary spring the piece number n=1, the half length L of the piece auxiliary springA=525mm,
The horizontal distance l of auxiliary spring contact and main spring endpoint0=50mm, the distance l of the root of auxiliary spring parabolic segment to auxiliary spring endpoint2A=
LA-l3=470mm；The thickness h of the root flat segments of auxiliary spring2A=14mm, the thickness h of the end flat segments of auxiliary springA11=8mm, it is secondary
The thickness ratio β of the parabolic segment of springA1=hA11/h2A=0.57.Major-minor spring is equipped between auxiliary spring contact and main spring end flat segments
Gap, when leaf spring institute is loaded be greater than auxiliary spring work load when, auxiliary spring contact and main spring in the flat segments of end certain put and connect
Touching, major-minor concur.The auxiliary spring that the end contact lacks piece parabolic type variable cross-section major-minor spring works load pK=
2400N, as half, that is, single-ended maximum load P of born maximum loadmaxWhen=3040N, piece parabolic is lacked to portion's contact
Each main spring of line style variable-section steel sheet spring and the stress intensity of each auxiliary spring are checked.
End contact provided by present example lacks the strength check methods of piece parabolic type variable cross-section major-minor spring,
Calculation process is as shown in Figure 1, specific step is as follows：
(1) half for each main spring and auxiliary spring that end contact lacks piece parabolic type variable cross-section major-minor spring clamps rigidimeter
It calculates：
I step：The half of each main spring before the contact of major-minor spring clamps stiffness KMiIt calculates：
According to the half length L of few main spring of piece parabolic type variable cross-sectionM=575mm, clipping room away from half l3=55mm,
Main reed number m=2, the thickness h of main spring root flat segments2M=11mm, width b=60mm, elastic modulus E=200GPa, main spring
Distance l of the root of parabolic segment to main spring endpoint2M=520mm, the thickness ratio β of the parabolic segment of the 1st main spring1=0.64,
The thickness ratio β of the parabolic segment of 2nd main spring2=0.55, to the 1st main spring and the 2nd main spring before the contact of major-minor spring
Half clamps stiffness KM1And KM2It is respectively calculated, i.e.,
In formula,
II step：The half of each main spring after the contact of major-minor spring clamps stiffness KMAiIt calculates：
According to the half length L of few main spring of piece parabolic type variable cross-sectionM=575mm, clipping room away from half l3=55mm,
Main reed number m=2, the thickness h of main spring root flat segments2M=11mm, width b=60mm, elastic modulus E=200GPa, parabolic
Distance l of the root of line segment to main spring endpoint2M=520mm, the thickness ratio β of the parabolic segment of the 1st main spring1=0.64, the 2nd
The thickness ratio β of the parabolic segment of main spring2=0.55；The half length L of auxiliary springA=525mm, the water of auxiliary spring contact and main spring endpoint
Flat distance l0=50mm, auxiliary spring the piece number n=1, the thickness h of the root flat segments of the piece auxiliary spring2A=14mm, auxiliary spring parabolic segment
Distance l of the root to auxiliary spring endpoint2A=470mm, the thickness ratio β of the parabolic segment of the piece auxiliary springA1=0.57；Major-minor spring is connect
The half of the 1st main spring and the 2nd main spring after touching clamps stiffness KMA1And KMA2It is respectively calculated, i.e.,
In formula,
III step：The half of each auxiliary spring clamps stiffness KAjIt calculates：
According to the half length L of the piece parabolic type variable cross-section auxiliary springA=525mm, clipping room away from half l3=55mm,
Auxiliary spring the piece number n=1, piece root thickness h2A=14mm, width b=60mm, elastic modulus E=200GPa, the piece auxiliary spring parabolic
Distance l of the root of line segment to auxiliary spring endpoint2A=470mm, the thickness ratio β of the parabolic segment of auxiliary springA1=0.57, to the piece pair
The half of spring clamps stiffness KA1It is calculated, i.e.,
In formula,
(2) end contact lacks each main spring of piece parabolic type variable cross-section major-minor spring and the maximum endpoint power meter of auxiliary spring
It calculates：
I step：The maximum endpoint power of each main spring calculates：
According to the end contact lack piece parabolic type variable cross-section major-minor spring suffered by maximum load half, that is, single-ended point most
Big load Pmax=3040N, auxiliary spring work load pK=2400N, the K being calculated in main reed number m=2, I stepM1=
14.87N/mm and KM2Obtained K is calculated in=14.16N/mm and II stepMA1=14.87N/mm and KMA2=40.15N/
Mm, to the maximum endpoint power P of the 1st main spring and the 2nd main spring1maxAnd P2maxIt is respectively calculated, i.e.,
Ii step：The maximum endpoint power of each auxiliary spring calculates：
According to the end contact lack piece parabolic type variable cross-section major-minor spring suffered by maximum load half, that is, single-ended point most
Big load Pmax=3040N, auxiliary spring the piece number n=1, auxiliary spring work load pK=2400N, main reed number m=2, each main spring root
The thickness h of portion's flat segments2M=11mm, the thickness h of the piece auxiliary spring root flat segments2A=14mm；It is calculated in II step obtained
KMA1=14.87N/mm, KMA2=40.15N/mm, Gx-CD=77.39mm4/N,Gx-CDz=64.91mm4/ N and Gx-DAT=
69.20mm4The K being calculated in/N and III stepA1=39.65N/mm, to the maximum endpoint power P of the piece auxiliary springA1maxIt carries out
It calculates, i.e.,
(3) maximum stress for each main spring and auxiliary spring that end contact lacks piece parabolic type variable cross-section major-minor spring calculates：
Step A：The maximum stress of 1st main spring calculates：
According to the half length L of few main spring of piece parabolic type variable cross-sectionM=575mm, the root flat segments of each main spring
Thickness h2M=11mm, width b=60mm, clipping room away from half l3The P being calculated in=55mm, i step1max=
1142.30N calculates the maximum stress of the 1st main spring of parabolic type variable cross-section, i.e.,
Step B：The maximum stress of 2nd main spring calculates：
According to the thickness h of the root flat segments of each main spring2M=11mm, width b=60mm, the root of main spring parabolic segment
To the distance l of main spring endpoint2M=520mm, main reed number m=2, the thickness ratio β of the parabolic segment of the 2nd main spring2=0.55, it is secondary
Reed number n=1, the horizontal distance l of auxiliary spring contact and main spring endpoint0The P being calculated in=50mm, i step2max=
The P being calculated in 1897.70N, ii stepA1max=983.29N, to the maximum stress of the 2nd main spring of parabolic type variable cross-section
It is calculated, i.e.,
Step C：The maximum stress of each auxiliary spring calculates：
According to the half length L of auxiliary springA=525mm, auxiliary spring the piece number n=1, the thickness h of the root flat segments of the piece auxiliary spring2A
=14mm, width b=60mm, clipping room away from half l3The P being calculated in=55mm, ii stepA1max=983.29N is right
The maximum stress of the piece parabolic type variable cross-section auxiliary spring is calculated, i.e.,
(4) stress intensity for each main spring and auxiliary spring that end contact lacks piece parabolic type variable cross-section major-minor spring is checked：
1. step：The stress intensity of 1st main spring is checked：
According to the maximum for the 1st main spring being calculated in allowable stress [the σ]=700MPa and step A of leaf spring
Stress σ1max=516.87MPa, it is known that σ1max≤ [σ], i.e. the 1st main spring can satisfy stress intensity requirement；
2. step：The stress intensity of 2nd main spring is checked：
According to the maximum for the 2nd main spring being calculated in allowable stress [the σ]=700MPa and step B of leaf spring
Stress σ2max=529.54MPa, it is known that σ2max≤ [σ], i.e. the 2nd main spring can satisfy stress intensity requirement；
3. step：The stress intensity of auxiliary spring is checked：
It is answered according to the maximum for the piece auxiliary spring being calculated in allowable stress [the σ]=700MPa and step C of leaf spring
Power σA1max=249.58MPa, it is known that σA1max≤ [σ], i.e. the piece auxiliary spring can satisfy stress intensity requirement.
Using ANSYS finite element emulation software, the major-minor spring structure of piece parabolic type variable-section steel sheet spring is lacked according to this
Parameter and material characteristic parameter, establish the ANSYS simulation model of half symmetrical structure major-minor spring, and auxiliary spring end is arranged in grid division
Point is contacted with main spring, and applies fixed constraint in the root of simulation model, applies concentrfated load F=P in main spring endpointmax-PK/2
=1840N lacks the stress progress of each main spring and auxiliary spring of piece parabolic type variable cross-section major-minor spring in the clamp state to this
The maximum stress of ANSYS emulation, obtained 1st main spring emulates cloud atlas, as shown in Figure 3；The maximum stress of 2nd main spring is imitative
True cloud atlas, as shown in Figure 4；The maximum stress of 1 auxiliary spring emulates cloud atlas, as shown in Figure 5, wherein the 1st main spring is clamping root
Maximum stress σ1maxThe maximum stress of=200.26MPa, the 2nd main spring at parabolic segment and end flat segments contact position
σ2max=253.69MPa, 1 auxiliary spring are in the maximum stress σ for clamping rootA1max=237.72MPa.
It is found that in same load, the 1st and the 2nd main spring of the leaf spring and 1 auxiliary spring maximum stress
ANSYS simulating, verifying value σ1max=200.26MPa, σ2max=253.69MPa, σA1max=237.72MPa is parsed with deformation respectively
Calculated value σ1max=199.18MPa, σ2max=251.69MPa, σA1max=235.78MPa, matches, and relative deviation is respectively
0.54%, 0.79%, 0.82%；The result shows that end contact provided by the invention lacks piece parabolic type variable cross-section major-minor spring
Strength check methods be correctly, the maximum stress calculation and check value of each main spring and auxiliary spring is accurately and reliably.
Claims (1)
1. the strength check methods that end contact lacks piece parabolic type variable cross-section major-minor spring, wherein few piece parabolic type, which becomes, to be cut
The half symmetrical structure of face major-minor spring is made of root flat segments, parabolic segment, three sections of end flat segments；The end of each main spring
The non-equal structures of flat segments, i.e., the thickness and length of the end flat segments of the 1st main spring, the respectively greater than end of other each main spring are flat
The thickness and length of straight section；The length of auxiliary spring is less than the length of main spring, works load when load is greater than auxiliary spring, auxiliary spring contact with
Certain point is in contact in the flat segments of main spring end；Major-minor spring contact after, the endpoint power of each major-minor spring is not identical, and with auxiliary spring phase
The main spring of the tailpiece of contact is not only by endpoint power, but also by the effect of auxiliary spring contact support power；Join in each chip architecture of major-minor spring
Number, elasticity modulus, allowable stress, auxiliary spring work in the given situation of the born maximum load of load, major-minor spring, contact to end
The stress intensity of each main spring and auxiliary spring that formula lacks piece parabolic type variable cross-section major-minor spring is checked, specific to check step such as
Under：
(1) half for each main spring and auxiliary spring that end contact lacks piece parabolic type variable cross-section major-minor spring clamps Rigidity Calculation：
I step：The half of each main spring before the contact of major-minor spring clamps stiffness KMiIt calculates：
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, main reed number m, the thickness of the root flat segments of each main spring
Spend h2M, width b, elastic modulus E, clipping room away from half l3, the distance l of the root of main spring parabolic segment to main spring endpoint2M, the
The thickness ratio β of the parabolic segment of the main spring of i piecei, wherein i=1,2 ..., m, to the half of each main spring before the contact of major-minor spring
Clamp stiffness KMiIt is calculated, i.e.,
In formula,
II step：The half of each main spring after the contact of major-minor spring clamps stiffness KMAiIt calculates：
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, main reed number m, the thickness of the root flat segments of each main spring
Spend h2M, width b, elastic modulus E, clipping room away from half l3, the distance l of the root of main spring parabolic segment to main spring endpoint2M, the
The thickness ratio β of the parabolic segment of the main spring of i piecei, wherein i=1,2 ..., m；The half length L of auxiliary springA, auxiliary spring the piece number n, each pair
The thickness h of spring root flat segments2A, the horizontal distance l of auxiliary spring contact and main spring endpoint0, the root of auxiliary spring parabolic segment to auxiliary spring
The distance l of endpoint2A, the thickness ratio β of the parabolic segment of jth piece auxiliary springAj, wherein j=1,2 ..., n, after the contact of major-minor spring
Each main spring half clamp stiffness KMAiIt is calculated, i.e.,
In formula,
Wherein, βmFor the main spring of m piece
The thickness ratio of parabolic segment；
III step：The half of each auxiliary spring clamps stiffness KAjIt calculates：
According to the half length L of few piece parabolic type variable cross-section auxiliary springA, auxiliary spring the piece number n, the thickness of the root flat segments of each auxiliary spring
Spend h2A, width b, elastic modulus E, clipping room away from half l3, the distance l of the root of auxiliary spring parabolic segment to auxiliary spring endpoint2A；The
The thickness ratio β of the parabolic segment of j piece auxiliary springAj, wherein j=1,2 ..., n clamp stiffness K to the half of each auxiliary springAjIt carries out
It calculates, i.e.,
In formula,
(2) the maximum endpoint power for each main spring and auxiliary spring that end contact lacks piece parabolic type variable cross-section major-minor spring calculates：
I step：The maximum endpoint power of each main spring calculates：
According to end contact lack piece parabolic type variable cross-section major-minor spring suffered by maximum load half, that is, single-ended maximum load
Pmax, auxiliary spring works load pK, the K that is calculated in main reed number m, I stepMiAnd obtained K is calculated in II stepMAi,
To the maximum endpoint power P of each main springimaxIt is calculated, i.e.,
Ii step：The maximum endpoint power of each auxiliary spring calculates：
According to the half of maximum load suffered by few piece parabolic type variable cross-section major-minor spring, that is, single-ended maximum load Pmax, auxiliary spring
Used load PK；Main reed number m, the thickness h of each main spring root flat segments2M；Auxiliary spring the piece number n, each auxiliary spring root flat segments
Thickness h2A, the K that is calculated in II stepMAi、Gx-CD、Gx-CDzAnd Gx-DATAnd the K being calculated in III stepAj, to each
The maximum endpoint power P of piece auxiliary springAjmaxIt is calculated, i.e.,
(3) maximum stress for each main spring and auxiliary spring that end contact lacks piece parabolic type variable cross-section major-minor spring calculates：
Step A：The maximum stress of the preceding main spring of m-1 piece calculates：
According to the half length L of few main spring of piece parabolic type variable cross-sectionM, main reed number m, the thickness of each main spring root flat segments
h2M, width b, clipping room away from half l3, the P that is calculated in i stepimax, the maximum stress of the main spring of preceding m-1 is counted
It calculates, i.e.,
Step B：The maximum stress of the main spring of m piece calculates：
According to the thickness h of the root flat segments of few main spring of piece parabolic type variable cross-section2M, width b, the root of main spring parabolic segment is arrived
The distance l of main spring endpoint2M, the thickness ratio β of the parabolic segment of the main spring of m piecem, the horizontal distance of auxiliary spring contact and main spring endpoint
l0, the P that is calculated in i stepmmax, the P that is calculated in ii stepAjmax, the maximum stress of the main spring of m piece is counted
It calculates, i.e.,
Step C：The maximum stress of each auxiliary spring calculates：
According to the half length L of few piece parabolic type variable cross-section auxiliary springA, auxiliary spring the piece number n, the thickness of each auxiliary spring root flat segments
h2A, width b, clipping room away from half l3, the P that is calculated in ii stepAjmax, the maximum stress of each auxiliary spring is counted
It calculates, i.e.,
(4) stress intensity for each main spring and auxiliary spring that end contact lacks piece parabolic type variable cross-section major-minor spring is checked：
1. step：The stress intensity of the preceding main spring of m-1 piece is checked：
According to each maximum stress of the preceding main spring of m-1 piece being calculated in the allowable stress [σ] and step A of leaf spring,
Each stress intensity for lacking the preceding main spring of m-1 piece of piece parabolic type variable cross-section major-minor spring to end contact is checked, i.e.,：
If σimax>[σ], then i-th main spring, is unsatisfactory for stress intensity requirement；
If σimax≤ [σ], then i-th main spring, meets stress intensity requirement, i=1,2 ..., m-1；
2. step：The stress intensity of the main spring of m piece is checked：
According to the maximum stress for the main spring of m piece being calculated in the allowable stress [σ] and step B of leaf spring, end is connect
The stress intensity that the main spring of m piece of piece parabolic type variable cross-section major-minor spring is lacked in touch is checked, i.e.,：
If σmmax>[σ], then the main spring of m piece, is unsatisfactory for stress intensity requirement；
If σmmax≤ [σ], then the main spring of m piece, meets stress intensity requirement；
3. step：The stress intensity of each auxiliary spring is checked：
According to the maximum stress for each auxiliary spring being calculated in the allowable stress [σ] and step C of leaf spring, end is connect
The stress intensity that each auxiliary spring of piece parabolic type variable cross-section major-minor spring is lacked in touch is checked, i.e.,：
If σAjmax>[σ], then jth piece auxiliary spring, is unsatisfactory for stress intensity requirement；
If σAjmax≤ [σ], then jth piece auxiliary spring, meets stress intensity requirement, j=1,2 ..., n.
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| CN106372371B (en) * | 2016-10-18 | 2019-03-26 | 山东理工大学 | End contact lacks the calculation method of piece parabolic type major-minor spring amount of deflection |
| CN106641055A (en) * | 2016-10-18 | 2017-05-10 | 山东理工大学 | Role playing load designing method for secondary spring of end-contacting type parabola type plate spring |
| CN107061585B (en) * | 2017-01-12 | 2019-03-19 | 王炳超 | The design method of the main spring initial tangential camber of high-intensitive two-stage progressive rate leaf spring |
| CN107061584B (en) * | 2017-01-12 | 2019-03-19 | 王炳超 | The design method of high-intensitive two-stage progressive rate leaf spring auxiliary spring initial tangential camber at different levels |
| CN112507486B (en) * | 2020-11-28 | 2022-11-29 | 山东汽车弹簧厂淄博有限公司 | Method for checking key parameters of unequal-length few-leaf oblique line type variable-section plate spring |
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