CN105912757A - Method for checking strength of end contact type few-leaf parabola-shaped section-variable master and slave springs - Google Patents
Method for checking strength of end contact type few-leaf parabola-shaped section-variable master and slave springs Download PDFInfo
- Publication number
- CN105912757A CN105912757A CN201610210362.2A CN201610210362A CN105912757A CN 105912757 A CN105912757 A CN 105912757A CN 201610210362 A CN201610210362 A CN 201610210362A CN 105912757 A CN105912757 A CN 105912757A
- Authority
- CN
- China
- Prior art keywords
- spring
- sheet
- main
- main spring
- auxiliary
- 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.)
- Granted
Links
- 238000000034 method Methods 0.000 title claims abstract description 18
- 241001347978 Major minor Species 0.000 claims description 79
- 235000014676 Phragmites communis Nutrition 0.000 claims description 17
- 238000013461 design Methods 0.000 abstract description 11
- 239000000725 suspension Substances 0.000 abstract description 4
- 238000012356 Product development Methods 0.000 abstract description 3
- 229910000831 Steel Inorganic materials 0.000 abstract description 3
- 239000010959 steel Substances 0.000 abstract description 3
- 238000012360 testing method Methods 0.000 abstract description 3
- 230000007423 decrease Effects 0.000 abstract 1
- 238000004088 simulation Methods 0.000 abstract 1
- 238000012795 verification Methods 0.000 abstract 1
- 238000010586 diagram Methods 0.000 description 3
- 235000006508 Nelumbo nucifera Nutrition 0.000 description 2
- 240000002853 Nelumbo nucifera Species 0.000 description 2
- 235000006510 Nelumbo pentapetala Nutrition 0.000 description 2
- 239000002131 composite material Substances 0.000 description 2
- 239000000463 material Substances 0.000 description 2
- 229920000049 Carbon (fiber) Polymers 0.000 description 1
- 239000004917 carbon fiber Substances 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- VNWKTOKETHGBQD-UHFFFAOYSA-N methane Chemical compound C VNWKTOKETHGBQD-UHFFFAOYSA-N 0.000 description 1
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
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Geometry (AREA)
- Theoretical Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Evolutionary Computation (AREA)
- Computer Hardware Design (AREA)
- General Engineering & Computer Science (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Optimization (AREA)
- Mathematical Analysis (AREA)
- Computational Mathematics (AREA)
- Springs (AREA)
Abstract
The invention relates to a method for checking the strength of end contact type few-leaf parabola-shaped section-variable master and slave springs, and belongs to the technical field of suspension steel plate springs. The method can check the stress strength of each of master springs and slave springs according to structure parameters, elasticity modulus, allowable stress, slave spring work load and the maximum load of each of the master springs and the slave springs of the end contact type few-leaf parabola-shaped section-variable master and slave springs. The embodiment and simulation verification show that the method for checking the strength of the end contact type few-leaf parabola-shaped section-variable master and slave springs is correct; and a check value of stress strength of each of the master springs and the slave springs is accurate and reliable. The method can improve and prolong the design level, the product quality, and the service life of the end contact type few-leaf parabola-shaped section-variable master and slave springs, improves the riding comfort of a vehicle, decreases design and testing expenses, and accelerates the product development speed.
Description
Technical field
The present invention relates to the few sheet parabolic type variable cross-section major-minor spring of vehicle suspension leaf spring, particularly ends contact formula
Strength check methods.
Background technology
In order to meet vehicle suspension light-weighted design requirement, the lightest card suspension leaf spring mostly uses few sheet parabolic
Line variable cross-section major-minor spring.Owing to the stress of the 1st main spring of few sheet variable cross-section major-minor spring is complicated, it is subjected to vertical load, with
Time also subject to torsional load and longitudinal loading, therefore, the thickness of the end flat segments of the 1st main spring designed by reality and length
Degree, more than the thickness of end flat segments and the length of other each main spring, the most mostly uses the non-few sheet variable cross-section waiting structure in end
Leaf spring, the requirement complicated to meet the 1st main spring stress.It addition, for the design requirement meeting different composite rigidity, logical
Frequently with the auxiliary spring of different length, different according to connect from the main spring position of contact, auxiliary spring contact, few sheet parabola variable cross-section master
Auxiliary spring can be divided into ends contact formula and non-ends contact formula.Sheet parabolic type variable cross-section major-minor spring few to end contact, works as load
Lotus more than auxiliary spring work load time, auxiliary spring contact with in the flat segments of main spring end certain point contact and together with work time, wherein,
The main spring of m sheet, in addition to by end points power, is also acted on by auxiliary spring contact support power in end flat segments.In order to meet the life-span
And the requirement of Reliable Design, it is necessary to each stress of sheet parabolic type variable cross-section major-minor spring few to designed ends contact formula is strong
Degree carries out calculation and check.Yet with the end flat segments structure such as non-grade of each of main spring, the length of auxiliary spring is unequal with main spring, main
Each main spring and the calculating of the end points power of auxiliary spring after secondary contact are extremely complex, fail to provide ends contact formula few the most always
Each main spring of sheet parabolic type variable cross-section major-minor spring and each auxiliary spring stress intensity check method.Therefore, it is necessary to set up one
Accurately, the check method of the few sheet parabolic type variable cross-section major-minor spring stress intensity of reliable ends contact formula, meet Vehicle Industry
The requirement of the des ign and strength checking of fast-developing and few sheet parabolic type variable cross-section major-minor spring, improves few sheet parabolic type change and cuts
Design level, product quality and the service life of face major-minor spring and vehicle ride performance;Meanwhile, product design and test are reduced
Expense, accelerates product development speed.
Summary of the invention
For defect present in above-mentioned prior art, the technical problem to be solved be to provide a kind of easy,
The strength check methods of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula reliably, its design flow diagram, such as Fig. 1 institute
Show.The few sheet parabolic type variable cross-section major-minor spring of ends contact formula is symmetrical structure, and it is different that the half of major and minor spring can regard length as
Cantilever beam, the center of installing space regards the root of cantilever beam as, and the stress point of major and minor spring regards the end points of cantilever beam, major-minor spring as
Half symmetrical structure schematic diagram, as in figure 2 it is shown, include: main spring 1, root shim 2, auxiliary spring 3, end pad 4, wherein, few sheet
The half symmetrical structure of the main spring of parabolic type variable cross-section 1 and auxiliary spring 3 is by root flat segments, parabolic segment, end flat segments three sections
Constitute;The a length of L of half of each of main spring 1M, root flat segments thickness is h2, half l of installing space3;The end of each main spring
Portion's flat segments is non-isomorphic, i.e. the thickness of the end flat segments of the 1st main spring and length, more than other thickness of each and length;
Thickness and the length of each end flat segments are respectively h1iAnd l1i;The root of parabolic segment is l to the distance of main spring end points2, throw
The thickness of thing line segment compares βi=h1i/h2.Between the root flat segments of main spring 1 and and the root flat segments of auxiliary spring 3 between, be provided with
Root shim 2;Between the end flat segments of main spring 1, being provided with end pad 4, the material of end pad 4 is carbon fiber composite
Material, in order to reduce frictional noise during spring works.The a length of L of half that auxiliary spring 3 is eachA, the end points of auxiliary spring 3 is to main spring 1 end
The horizontal range of point is l0;The thickness of the root flat segments of auxiliary spring is h2A, thickness and the length of each auxiliary spring end flat segments are divided
Wei hA1jAnd lA1j, the distance of the root of parabolic segment to auxiliary spring end points is l2A, the thickness of each parabolic segment compares βAj=hA1j/
h2A.Vertical dimension between auxiliary spring contact and main spring end flat segments is major-minor spring gap delta;When load works load more than auxiliary spring
Lotus, auxiliary spring contact contacts with certain point in the flat segments of main spring end, and end points power and the maximum stress of each of major-minor spring all differ.
The structural parameters of each of major-minor spring, allowable stress, maximum load, auxiliary spring work load given in the case of, to ends contact
The stress intensity of few each of the sheet parabolic type major-minor spring of formula is checked.
For solving above-mentioned technical problem, the few sheet parabolic type variable cross-section major-minor spring of ends contact formula provided by the present invention
Strength check methods, it is characterised in that the following step of checking of employing:
(1) each main spring of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula and the half of auxiliary spring clamp rigidimeter
Calculate:
I step: the half clamping stiffness K of each main spring before the contact of major-minor springMiCalculate:
Half length L according to few sheet main spring of parabolic type variable cross-sectionM, main reed number m, the root flat segments of each main spring
Thickness h2M, width b, elastic modulus E, half l of installing space3, the root of main spring parabolic segment is to the distance of main spring end points
l2M=LM-l3, the thickness of the parabolic segment of i-th main spring compares βi=h1i/h2M, wherein, i=1,2 ..., m, major-minor spring is contacted
The half clamping stiffness K of each main spring beforeMiCalculate, i.e.
In formula,
II step: the half clamping stiffness K of each main spring after the contact of major-minor springMAiCalculate:
Half length L according to few sheet main spring of parabolic type variable cross-sectionM, main reed number m, the root flat segments of each main spring
Thickness h2M, width b, elastic modulus E, half l of installing space3, the root of main spring parabolic segment is to the distance of main spring end points
l2M=LM-l3, the thickness of the parabolic segment of i-th main spring compares βi, wherein, i=1,2 ..., m;Half length L of auxiliary springA, auxiliary spring
Sheet number n, the thickness h of each auxiliary spring root flat segments2A, auxiliary spring contact and horizontal range l of main spring end points0=LM-LA, auxiliary spring is thrown
The root of thing line segment is to distance l of auxiliary spring end points2A=LA-l3, the thickness of the parabolic segment of jth sheet auxiliary spring compares βAj=hA1j/h2A,
Wherein, j=1,2 ..., n, the half clamping stiffness K of each main spring after major-minor spring is contactedMAiCalculate, i.e.
In formula,
Wherein, βmIt is m sheet master
The thickness ratio of the parabolic segment of spring;
III step: the half clamping stiffness K of each auxiliary springAjCalculate:
Half length L according to few sheet parabolic type variable cross-section auxiliary springA, auxiliary spring sheet number n, the root flat segments of each auxiliary spring
Thickness h2A, width b, elastic modulus E, half l of installing space3, the root of auxiliary spring parabolic segment is to the distance of auxiliary spring end points
l2A;The thickness of the parabolic segment of jth sheet auxiliary spring compares βAj, wherein, j=1,2 ..., n, the half of each auxiliary spring is clamped stiffness KAj
Calculate, i.e.
In formula,
(2) ends contact formula lacks each main spring and the maximum end points power meter of auxiliary spring of sheet parabolic type variable cross-section major-minor spring
Calculate:
I step: the maximum end points power of each main spring calculates:
Half according to maximum load suffered by the few sheet parabolic type variable cross-section major-minor spring of ends contact formula is the most single-ended maximum
Load pmax, auxiliary spring works load pK, main reed number m, calculated K in I stepMi, and in II step obtained by calculating
KMAi, maximum end points power P to each main springimaxCalculate, i.e.
Ii step: the maximum end points power of each auxiliary spring calculates:
The most single-ended some maximum load P of half according to maximum load suffered by few sheet parabolic type variable cross-section major-minor springmax, secondary
Spring works load pK;Main reed number m, the thickness h of each main spring root flat segments2M;Auxiliary spring sheet number n, each auxiliary spring root is put down
The thickness h of straight section2A, calculated K in II stepMAi、Gx-CD、Gx-CDzAnd Gx-DAT, and calculated K in III stepAj,
Maximum end points power P to each auxiliary springAjmaxCalculate, i.e.
(3) each main spring of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula and the maximum stress of auxiliary spring calculate:
Step A: the maximum stress of the front main spring of m-1 sheet calculates:
Half length L according to few sheet main spring of parabolic type variable cross-sectionM, main reed number m, each main spring root flat segments
Thickness h2M, width b, half l of installing space3, calculated P in i stepimax, the maximum stress of spring main to front m-1 is carried out
Calculate, i.e.
Step B: the maximum stress of the main spring of m sheet calculates:
The thickness h of the root flat segments according to few sheet main spring of parabolic type variable cross-section2M, width b, the root of parabolic segment arrives
Distance l of main spring end points2M, the thickness of the parabolic segment of the main spring of m sheet compares βm, auxiliary spring contact and the horizontal range of main spring end points
l0, calculated P in i stepmmax, calculated P in ii stepAjmax, the maximum stress of spring main to m sheet is counted
Calculate, i.e.
Step C: the maximum stress of each auxiliary spring calculates:
Half length L according to few sheet parabolic type variable cross-section auxiliary springA, auxiliary spring sheet number n, each auxiliary spring root flat segments
Thickness h2A, width b, half l of installing space3, calculated P in ii stepAjmax, the maximum stress of each auxiliary spring is carried out
Calculate, i.e.
(4) each main spring of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula and the stress intensity of auxiliary spring are checked:
1. step: the stress intensity of the front main spring of m-1 sheet is checked:
Allowable stress [σ] according to leaf spring, and the maximum of each of the calculated front main spring of m-1 sheet in step A
Stress, the stress intensity of each of the front main spring of m-1 sheet of sheet parabolic type variable cross-section major-minor spring few to end contact carries out school
Core, it may be assumed that
If σimax> [σ], then i-th main spring, it is unsatisfactory for stress intensity requirement;
If σimax≤ [σ], then i-th main spring, meet stress intensity requirement, i=1, and 2 ..., m-1;
2. step: the stress intensity of the main spring of m sheet is checked:
Allowable stress [σ] according to leaf spring, and the maximum stress of the calculated main spring of m sheet, opposite end in step B
The stress intensity of the main spring of m sheet of the few sheet parabolic type variable cross-section major-minor spring of portion's contact is checked, it may be assumed that
If σmmax> [σ], the then main spring of m sheet, it is unsatisfactory for stress intensity requirement;
If σmmax≤ [σ], the then main spring of m sheet, meets stress intensity requirement;
3. step: the stress intensity of each auxiliary spring is checked:
Allowable stress [σ] according to leaf spring, and the maximum stress of calculated each auxiliary spring, opposite end in step C
The stress intensity of each auxiliary spring of the few sheet parabolic type variable cross-section major-minor spring of portion's contact is checked, it may be assumed that
If σAjmax> [σ], then jth sheet auxiliary spring, it is unsatisfactory for stress intensity requirement;
If σAjmax≤ [σ], then jth sheet auxiliary spring, meet stress intensity requirement, j=1, and 2 ..., n.
The present invention has the advantage that than prior art
Due to the non-structure that waits of the main spring end flat segments of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula, and auxiliary spring
Length is less than the length of main spring, and meanwhile, the main spring of m sheet, in addition to by end points power, is also propped up by auxiliary spring contact in end flat segments
The effect of support force, therefore, the end points power of each main spring and auxiliary spring calculates extremely complex, fails to provide ends contact formula the most always
The check method of few sheet parabolic type variable cross-section major-minor spring stress intensity.The present invention can be according to the few sheet parabolic type of ends contact formula
Each main spring of variable cross-section major-minor spring and the structural parameters of auxiliary spring, elastic modelling quantity, allowable stress, auxiliary spring work load, major-minor
The maximum load that spring is born, each main spring of sheet parabolic type variable cross-section major-minor spring few to end contact and the stress of auxiliary spring
Intensity is checked.By checking example and ANSYS simulating, verifying, the few sheet parabolic of the ends contact formula that this invention is provided
The strength check methods of line style variable cross-section major-minor spring is correct, and the maximum stress calculation and check value of each main spring and auxiliary spring is accurate
The most reliably.Utilize the method can improve the few sheet parabolic type variable cross-section major-minor leaf spring of ends contact formula design level,
Product quality and service life and vehicle ride performance;Meanwhile, also can reduce design and testing expenses, accelerate product development
Speed.
Accompanying drawing explanation
In order to be more fully understood that the present invention, it is described further below in conjunction with the accompanying drawings.
Fig. 1 is the flow chart of each stress intensity check of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula;
Fig. 2 is the half symmetrical structure schematic diagram of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula;
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 embodiments
Below by embodiment, the present invention is described in further detail.
Embodiment: the main reed number m=2 of the few sheet parabolic type variable cross-section major-minor spring of certain contact, 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 root of the parabolic segment of each main spring is to distance l of main spring end points2M=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 the 1st main spring11=7mm, the 1st main spring
The thickness of parabolic segment compare β1=h11/h2M=0.64;The thickness h of the end flat segments of the 2nd main spring12=6mm, the 2nd master
The thickness of the parabolic segment of spring compares β2=h12/h2M=0.55.Auxiliary spring sheet number n=1, half length L of this sheet auxiliary springA=525mm,
Auxiliary spring contact and horizontal range l of main spring end points0=50mm, the root of auxiliary spring parabolic segment is to distance l of auxiliary spring end points2A=
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, secondary
The thickness of the parabolic segment of spring compares βA1=hA11/h2A=0.57.It is provided with major-minor spring between auxiliary spring contact and main spring end flat segments
Gap, when load works load more than auxiliary spring, auxiliary spring contact contacts with main spring certain point in the flat segments of end, and major-minor is common
With working.The auxiliary spring of the few sheet parabolic type variable cross-section major-minor spring of this ends contact formula works load pK=2400N, when being held
The most single-ended some maximum load P of half by maximum loadmaxDuring=3040N, sheet parabolic type Variable Section Steel few to this contact
Each main spring of flat spring and the stress intensity of each auxiliary spring are checked.
The strength check methods of the few sheet parabolic type variable cross-section major-minor spring of the ends contact formula that present example is provided, its
Calculation process is as it is shown in figure 1, specifically comprise the following steps that
(1) each main spring of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula and the half of auxiliary spring clamp rigidimeter
Calculate:
I step: the half clamping stiffness K of each main spring before the contact of major-minor springMiCalculate:
Half length L according to few sheet main spring of parabolic type variable cross-sectionM=575mm, main reed number m=2, main spring root is put down
The thickness h of straight section2M=11mm, width b=60mm, elastic modulus E=200GPa, the root of main spring parabolic segment is to main spring end points
Distance l2M=520mm, the thickness of the parabolic segment of the 1st main spring compares β1The thickness of the parabolic segment of the=0.64, the 2nd main spring
Compare β2=0.55, the 1st main spring before major-minor spring is contacted and the half clamping stiffness K of the 2nd main springM1And KM2Carry out respectively
Calculate, i.e.
In formula,
II step: the half clamping stiffness K of each main spring after the contact of major-minor springMAiCalculate:
Half length L according to few sheet main spring of parabolic type variable cross-sectionM=575mm, main reed number m=2, main spring root is put down
The thickness h of straight section2M=11mm, width b=60mm, elastic modulus E=200GPa, the root of parabolic segment to main spring end points away from
From l2M=520mm, the thickness of the parabolic segment of the 1st main spring compares β1The thickness of the parabolic segment of the=0.64, the 2nd main spring compares β2
=0.55;Half length L of auxiliary springAHorizontal range l of=525mm, auxiliary spring contact and main spring end points0=50mm, auxiliary spring sheet number n
=1, the thickness h of the root flat segments of this sheet auxiliary spring2A=14mm, the root of auxiliary spring parabolic segment is to distance l of auxiliary spring end points2A
=470mm, the thickness of the parabolic segment of this sheet auxiliary spring compares βA1=0.57;To major-minor spring contact after the 1st main spring and the 2nd
The half clamping stiffness K of main springMA1And KMA2It is respectively calculated, i.e.
In formula,
III step: the half clamping stiffness K of each auxiliary springAjCalculate:
Half length L according to this sheet parabolic type variable cross-section auxiliary springA=525mm, auxiliary spring sheet number n=1, this sheet root is thick
Degree h2A=14mm, width b=60mm, elastic modulus E=200GPa, the root of this sheet auxiliary spring parabolic segment to auxiliary spring end points away from
From l2A=470mm, the thickness of the parabolic segment of auxiliary spring compares βA1=0.57, the half of this sheet auxiliary spring is clamped stiffness KA1Count
Calculate, i.e.
In formula,
(2) ends contact formula lacks each main spring and the maximum end points power meter of auxiliary spring of sheet parabolic type variable cross-section major-minor spring
Calculate:
I step: the maximum end points power of each main spring calculates:
The most single-ended point of half according to maximum load suffered by the few sheet parabolic type variable cross-section major-minor spring of this ends contact formula is
Big load pmax=3040N, auxiliary spring works load pK=2400N, main reed number m=2, calculated K in I stepM1=
14.87N/mm and KM2=14.16N/mm, and II step calculate obtained KMA1=14.87N/mm and KMA2=40.15N/
Mm, to the 1st main spring and maximum end points power P of the 2nd main spring1maxAnd P2maxIt is respectively calculated, i.e.
Ii step: the maximum end points power of each auxiliary spring calculates:
The most single-ended point of half according to maximum load suffered by the few sheet parabolic type variable cross-section major-minor spring of this ends contact formula is
Big load pmax=3040N, auxiliary spring sheet number n=1, auxiliary spring works 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 this sheet auxiliary spring root flat segments2A=14mm;Obtained by II step calculates
KMA1=14.87N/mm, KMA2=40.15N/mm, Gx-CD=77.39mm4/N,Gx-CDz=64.91mm4/ N and Gx-DAT=
69.20mm4Calculated K in/N, and III stepA1=39.65N/mm, maximum end points power P to this sheet auxiliary springA1maxCarry out
Calculate, i.e.
(3) each main spring of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula and the maximum stress of auxiliary spring calculate:
Step A: the maximum stress of the 1st main spring calculates:
Half length L according to few sheet main spring of parabolic type variable cross-sectionM=575mm, the root flat segments of each main spring
Thickness h2M=11mm, width b=60mm, half l of installing space3Calculated P in=55mm, i step1max=
1142.30N, calculates, i.e. the maximum stress of the 1st main spring of parabolic type variable cross-section
Step B: the maximum stress of the 2nd main spring calculates:
The thickness h of the root flat segments according to each main spring2M=11mm, width b=60mm, the root of main spring parabolic segment
Distance l to main spring end points2M=520mm, main reed number m=2, the thickness of the parabolic segment of the 2nd main spring compares β2=0.55, secondary
Horizontal range l of reed number n=1, auxiliary spring contact and main spring end points0Calculated P in=50mm, i step2max=
Calculated P in 1897.70N, ii stepA1max=983.29N, the maximum stress to the 2nd main spring of parabolic type variable cross-section
Calculate, i.e.
Step C: the maximum stress of each auxiliary spring calculates:
Half length L according to auxiliary springA=525mm, auxiliary spring sheet number n=1, the thickness h of the root flat segments of this sheet auxiliary spring2A
=14mm, width b=60mm, half l of installing space3Calculated P in=55mm, ii stepA1max=983.29N is right
The maximum stress of this sheet parabolic type variable cross-section auxiliary spring calculates, i.e.
(4) each main spring of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula and the stress intensity of auxiliary spring are checked:
1. step: the stress intensity of the 1st main spring is checked:
The maximum of calculated 1st main spring in allowable stress [σ] according to leaf spring=700MPa, and step A
Stress σ1max=516.87MPa, it is known that σ1max≤ [σ], i.e. the 1st main spring disclosure satisfy that stress intensity requirement;
2. step: the stress intensity of the 2nd main spring is checked:
The maximum of calculated 2nd main spring in allowable stress [σ] according to leaf spring=700MPa, and step B
Stress σ2max=529.54MPa, it is known that σ2max≤ [σ], i.e. the 2nd main spring disclosure satisfy that stress intensity requirement;
3. step: the stress intensity of auxiliary spring is checked:
In allowable stress [σ] according to leaf spring=700MPa, and step C, the maximum of this sheet auxiliary spring calculated should
Power σA1max=249.58MPa, it is known that σA1max≤ [σ], i.e. this sheet auxiliary spring disclosure satisfy that stress intensity requirement.
Utilize ANSYS finite element emulation software, according to the major-minor spring structure of this few sheet parabolic type variable-section steel sheet spring
Parameter and material characteristic parameter, set up the ANSYS phantom of half symmetrical structure major-minor spring, grid division, arrange auxiliary spring end
Point contacts with main spring, and at the root applying fixed constraint of phantom, applies concentrfated load F=P at main spring end pointsmax-PK/2
=1840N, is carried out the stress of this few sheet parabolic type variable cross-section major-minor spring each main spring in the clamp state and auxiliary spring
ANSYS emulates, the maximum stress emulation cloud atlas of the 1st obtained main spring, as shown in Figure 3;The maximum stress of the 2nd main spring is imitated
True cloud atlas, as shown in Figure 4;The maximum stress emulation cloud atlas of 1 auxiliary spring, as it is shown in figure 5, wherein, the 1st main spring is at clamping root
Maximum stress σ1max=200.26MPa, the 2nd main spring maximum stress at parabolic segment with end flat segments contact position
σ2max=253.69MPa, 1 auxiliary spring are at the maximum stress σ clamping rootA1max=237.72MPa.
Understand, in the case of same load, this leaf spring the 1st and the 2nd main spring and 1 auxiliary spring maximum stress
ANSYS simulating, verifying value σ1max=200.26MPa, σ2max=253.69MPa, σA1max=237.72MPa, resolves with deformation respectively
Value of calculation σ1max=199.18MPa, σ2max=251.69MPa, σA1max=235.78MPa, matches, and relative deviation is respectively
0.54%, 0.79%, 0.82%;Result shows the few sheet parabolic type variable cross-section major-minor spring of ends contact formula that this invention is provided
Strength check methods be correct, 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 of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula, wherein, few sheet parabolic type change cuts
The half symmetrical structure of face major-minor spring is made up of root flat segments, parabolic segment, end flat segments three sections;The end of each main spring
The non-thickness waiting structure, i.e. the end flat segments of the 1st main spring of flat segments and length, more than the end flat segments of other each main spring
Thickness and length;The length of auxiliary spring is less than the length of main spring, when load works load, auxiliary spring contact and main spring more than auxiliary spring
In the flat segments of end, certain point contacts;After the contact of major-minor spring, the end points power of each major-minor spring differs, and contacts with auxiliary spring
1 main spring not only by end points power, but also acted on by auxiliary spring contact support power;Each chip architecture parameter, bullet at major-minor spring
Property modulus, allowable stress, auxiliary spring work load, the born maximum load of major-minor spring given in the case of, few to end contact
Each main spring of sheet parabolic type variable cross-section major-minor spring and the stress intensity of auxiliary spring are checked, and concrete check step is as follows:
(1) each main spring of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula and the half clamping Rigidity Calculation of auxiliary spring:
I step: the half clamping stiffness K of each main spring before the contact of major-minor springMiCalculate:
Half length L according to few sheet main spring of parabolic type variable cross-sectionM, main reed number m, the thickness of the root flat segments of each main spring
Degree h2M, width b, elastic modulus E, half l of installing space3, the root of main spring parabolic segment is to distance l of main spring end points2M=
LM-l3, the thickness of the parabolic segment of i-th main spring compares βi=h1i/h2M, wherein, i=1,2 ..., m, before contacting major-minor spring
Each main spring half clamping stiffness KMiCalculate, i.e.
In formula,
II step: the half clamping stiffness K of each main spring after the contact of major-minor springMAiCalculate:
Half length L according to few sheet main spring of parabolic type variable cross-sectionM, main reed number m, the thickness of the root flat segments of each main spring
Degree h2M, width b, elastic modulus E, half l of installing space3, the root of main spring parabolic segment is to distance l of main spring end points2M=
LM-l3, the thickness of the parabolic segment of i-th main spring compares βi, wherein, i=1,2 ..., m;Half length L of auxiliary springA, auxiliary spring sheet number
N, the thickness h of each auxiliary spring root flat segments2A, auxiliary spring contact and horizontal range l of main spring end points0=LM-LA, auxiliary spring parabola
The root of section is to distance l of auxiliary spring end points2A=LA-l3, the thickness of the parabolic segment of jth sheet auxiliary spring compares βAj=hA1j/h2A, wherein,
J=1,2 ..., n, the half clamping stiffness K of each main spring after major-minor spring is contactedMAiCalculate, i.e.
In formula,
Wherein, βmIt it is the parabolic of the main spring of m sheet
The thickness ratio of line segment;
III step: the half clamping stiffness K of each auxiliary springAjCalculate:
Half length L according to few sheet parabolic type variable cross-section auxiliary springA, auxiliary spring sheet number n, the thickness of the root flat segments of each auxiliary spring
Degree h2A, width b, elastic modulus E, half l of installing space3, the root of auxiliary spring parabolic segment is to distance l of auxiliary spring end points2A;The
The thickness of the parabolic segment of j sheet auxiliary spring compares βAj, wherein, j=1,2 ..., n, the half of each auxiliary spring is clamped stiffness KAjCarry out
Calculate, i.e.
In formula,
(2) each main spring of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula and the maximum end points power of auxiliary spring calculate:
I step: the maximum end points power of each main spring calculates:
The most single-ended some maximum load of half according to maximum load suffered by the few sheet parabolic type variable cross-section major-minor spring of ends contact formula
Pmax, auxiliary spring works load pK, main reed number m, calculated K in I stepMi, and II step calculates obtained KMAi,
Maximum end points power P to each main springimaxCalculate, i.e.
Ii step: the maximum end points power of each auxiliary spring calculates:
The most single-ended some maximum load P of half according to maximum load suffered by few sheet parabolic type variable cross-section major-minor springmax, auxiliary spring rises
Used load PK;Main reed number m, the thickness h of each main spring root flat segments2M;Auxiliary spring sheet number n, each auxiliary spring root flat segments
Thickness h2A, calculated K in II stepMAi、Gx-CD、Gx-CDzAnd Gx-DAT, and calculated K in III stepAj, to respectively
Maximum end points power P of sheet auxiliary springAjmaxCalculate, i.e.
(3) each main spring of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula and the maximum stress of auxiliary spring calculate:
Step A: the maximum stress of the front main spring of m-1 sheet calculates:
Half length L according to few sheet main spring of parabolic type variable cross-sectionM, main reed number m, the thickness of each main spring root flat segments
h2M, width b, half l of installing space3, calculated P in i stepimax, the maximum stress of spring main to front m-1 is counted
Calculate, i.e.
Step B: the maximum stress of the main spring of m sheet calculates:
The thickness h of the root flat segments according to few sheet main spring of parabolic type variable cross-section2M, width b, the root of parabolic segment is to main spring
Distance l of end points2M, the thickness of the parabolic segment of the main spring of m sheet compares βm, auxiliary spring contact and horizontal range l of main spring end points0, i walks
Calculated P in Zhoummax, calculated P in ii stepAjmax, the maximum stress of spring main to m sheet calculates, i.e.
Step C: the maximum stress of each auxiliary spring calculates:
Half length L according to few sheet parabolic type variable cross-section auxiliary springA, auxiliary spring sheet number n, the thickness of each auxiliary spring root flat segments
h2A, width b, half l of installing space3, calculated P in ii stepAjmax, the maximum stress of each auxiliary spring is counted
Calculate, i.e.
(4) each main spring of the few sheet parabolic type variable cross-section major-minor spring of ends contact formula and the stress intensity of auxiliary spring are checked:
1. step: the stress intensity of the front main spring of m-1 sheet is checked:
Allowable stress [σ] according to leaf spring, and the maximum stress of each of the calculated front main spring of m-1 sheet in step A,
The stress intensity of each of the front main spring of m-1 sheet of sheet parabolic type variable cross-section major-minor spring few to end contact is checked, it may be assumed that
If σimax> [σ], then i-th main spring, it is unsatisfactory for stress intensity requirement;
If σimax≤ [σ], then i-th main spring, meet stress intensity requirement, i=1, and 2 ..., m-1;
2. step: the stress intensity of the main spring of m sheet is checked:
Allowable stress [σ] according to leaf spring, and the maximum stress of the calculated main spring of m sheet in step B, connect end
The stress intensity of the main spring of m sheet of the few sheet parabolic type variable cross-section major-minor spring of touch is checked, it may be assumed that
If σmmax> [σ], the then main spring of m sheet, it is unsatisfactory for stress intensity requirement;
If σmmax≤ [σ], the then main spring of m sheet, meets stress intensity requirement;
3. step: the stress intensity of each auxiliary spring is checked:
Allowable stress [σ] according to leaf spring, and the maximum stress of calculated each auxiliary spring in step C, connect end
The stress intensity of each auxiliary spring of the few sheet parabolic type variable cross-section major-minor spring of touch is checked, it may be assumed that
If σAjmax> [σ], then jth sheet auxiliary spring, it is unsatisfactory for stress intensity requirement;
If σAjmax≤ [σ], then jth sheet auxiliary spring, meet stress intensity requirement, j=1, and 2 ..., n.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201610210362.2A CN105912757B (en) | 2016-04-07 | 2016-04-07 | End contact lacks the strength check methods of piece parabolic type variable cross-section major-minor spring |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201610210362.2A CN105912757B (en) | 2016-04-07 | 2016-04-07 | End contact lacks the strength check methods of piece parabolic type variable cross-section major-minor spring |
Publications (2)
Publication Number | Publication Date |
---|---|
CN105912757A true CN105912757A (en) | 2016-08-31 |
CN105912757B CN105912757B (en) | 2018-11-23 |
Family
ID=56745741
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN201610210362.2A Active CN105912757B (en) | 2016-04-07 | 2016-04-07 | End contact lacks the strength check methods of piece parabolic type variable cross-section major-minor spring |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN105912757B (en) |
Cited By (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN106372371A (en) * | 2016-10-18 | 2017-02-01 | 山东理工大学 | End part contact type few-leaf parabolic primary and secondary spring deflection calculating method |
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 |
CN107061584A (en) * | 2017-01-12 | 2017-08-18 | 王炳超 | The design method of high intensity two-stage progressive rate leaf spring auxiliary spring tangent line camber at different levels |
CN107061585A (en) * | 2017-01-12 | 2017-08-18 | 王炳超 | The design method of the main spring initial tangential camber of high intensity two-stage progressive rate leaf spring |
CN112507486A (en) * | 2020-11-28 | 2021-03-16 | 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 |
Citations (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
EP2472137A2 (en) * | 2010-12-31 | 2012-07-04 | Tobias Koller | Leaf spring element and leaf spring assembly |
CN103717775A (en) * | 2011-08-11 | 2014-04-09 | 日本发条株式会社 | Compression coil spring and method for producing same |
CN105279319A (en) * | 2015-10-08 | 2016-01-27 | 山东理工大学 | Method for calculating maximum circumferential stress of annular valve plate with different thicknesses of hydro-pneumatic spring |
CN105426621A (en) * | 2015-11-30 | 2016-03-23 | 中国石油天然气股份有限公司 | Method for determining spring elastic coefficient of check valve for oil well layered oil extraction |
-
2016
- 2016-04-07 CN CN201610210362.2A patent/CN105912757B/en active Active
Patent Citations (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
EP2472137A2 (en) * | 2010-12-31 | 2012-07-04 | Tobias Koller | Leaf spring element and leaf spring assembly |
CN103717775A (en) * | 2011-08-11 | 2014-04-09 | 日本发条株式会社 | Compression coil spring and method for producing same |
CN105279319A (en) * | 2015-10-08 | 2016-01-27 | 山东理工大学 | Method for calculating maximum circumferential stress of annular valve plate with different thicknesses of hydro-pneumatic spring |
CN105426621A (en) * | 2015-11-30 | 2016-03-23 | 中国石油天然气股份有限公司 | Method for determining spring elastic coefficient of check valve for oil well layered oil extraction |
Non-Patent Citations (2)
Title |
---|
MAHMOOD M. SHOKRIEH等: "Analysis and optimization of a composite leaf spring", 《COMPOSITE STRUCTURE》 * |
王霄锋: "汽车钢板弹簧的应力和变形分析", 《机械强度》 * |
Cited By (7)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN106372371A (en) * | 2016-10-18 | 2017-02-01 | 山东理工大学 | End part contact type few-leaf parabolic primary and secondary spring deflection calculating method |
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 |
CN107061584A (en) * | 2017-01-12 | 2017-08-18 | 王炳超 | The design method of high intensity two-stage progressive rate leaf spring auxiliary spring tangent line camber at different levels |
CN107061585A (en) * | 2017-01-12 | 2017-08-18 | 王炳超 | The design method of the main spring initial tangential camber of high intensity 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 |
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 |
CN112507486A (en) * | 2020-11-28 | 2021-03-16 | 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 |
Also Published As
Publication number | Publication date |
---|---|
CN105912757B (en) | 2018-11-23 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN105740591A (en) | Method for verifying strength of each leaf of end contact type few-leaf oblique main and auxiliary springs | |
CN105912757A (en) | Method for checking strength of end contact type few-leaf parabola-shaped section-variable master and slave springs | |
CN105912760A (en) | Method for checking strength of non-end-contact type few-leaf parabola-shaped section-variable master and slave springs | |
CN105975663A (en) | Method for calculating stress of each leaf of end part contact type few-leaf diagonal main and assistant springs | |
CN105956223A (en) | Checking computation method for composite stiffness of non-end contact type few-leaf parabolic main and auxiliary spring | |
CN105893684A (en) | Calibrating method for strengths of non-end contact type few-leaf root-reinforcing main and auxiliary springs | |
CN105864335A (en) | Design method for root thickness of non-end-contact few-leaf oblique-line type auxiliary spring | |
CN105930563A (en) | Method for calculating stress of each leaf of end contact-type main and auxiliary taper-leaf parabolic springs | |
CN106066900A (en) | The auxiliary spring of the reinforced few sheet major-minor spring of ends contact formula root works load checking method | |
CN105912756A (en) | Method for checking strength of each of end contact type few-leaf end enhanced master and slave springs | |
CN105718706A (en) | Design method for root thickness of end contact type slice-few root-reinforced auxiliary spring | |
CN105912787A (en) | Calculation method for endpoint forces of end-contact parabola-type variable cross section main-and-auxiliary-structure plate spring | |
CN105912794B (en) | Non- end contact lacks the calculation method of piece parabolic type each stress of major-minor spring | |
CN105912758A (en) | Method for checking strength of each of end contact type few-leaf root enhanced master and slave springs | |
CN106015414A (en) | Checking calculation method for complex stiffness of end contact type few-piece end enhanced variable-cross-section main and auxiliary springs | |
CN105843989A (en) | Checking calculation method of auxiliary spring working load of non-end-part contact-type double-strengthened few-piece main and auxiliary springs | |
CN105890883A (en) | Non-end part contact few-leaf oblique line type master-slave spring intensity check method | |
CN105956311A (en) | Method for designing root thickness of non-end-contact type taper-leaf end reinforced auxiliary spring | |
CN105868494A (en) | Method for designing thicknesses of roots of non-end-contact few-leaf parabola type auxiliary springs | |
CN105678035A (en) | Acting load checking calculation method for auxiliary spring of root-enhanced main and auxiliary springs of non-end-contact type | |
CN106402220B (en) | The design method of few piece parabolic type leaf spring camber of the non-grade structure in end | |
CN105975661A (en) | Checking calculation method of composite stiffness of end contact type few-piece root reinforcement type variable cross-section main and auxiliary spring | |
CN105844062A (en) | Method for determining endpoint force of end-contact type few-leaf root-reinforced main springs and subsidiary springs | |
CN105930607A (en) | Calculation method for stress of each leaf of non-end-contact few-leaf end-enhanced main spring and sub-spring | |
CN105912801A (en) | Method for calculating stress of each of non-end contact type few-leaf root-strengthened main/auxiliary springs |
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: 20181016 Address after: 225200 No. 2 Road Industrial Park, Jiangdu District, Yangzhou, Jiangsu. Applicant after: Yangzhou Mingfeng 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 |