CN106802996A - The Method for Checking of the offset frequency type progressive rate leaf spring contact load such as two-stage auxiliary spring formula is non- - Google Patents

Abstract

The present invention relates to the Method for Checking of the offset frequency type progressive rate leaf spring contact load such as two-stage auxiliary spring formula is non-, belong to suspension leaf spring technical field.The present invention can be according to each main spring of the leaf spring with gradually changing stiffness and the structural parameters of the first order and second level auxiliary spring, elastic modelling quantity and initial tangential camber design load, using relation between contact load and leaf spring radius of curvature and initial tangential camber, the carrying out of the offset frequency type progressive rate leaf spring contact load such as non-to two-stage auxiliary spring formula checks.Checked by example, the Method for Checking of the offset frequency type progressive rate leaf spring contact load such as two-stage auxiliary spring formula provided by the present invention is non-is correct, be that the characteristic Simulation of the offset frequency type progressive rate leaf springs such as two-stage auxiliary spring formula is non-has established reliable technical foundation.Reliable each contact load checking computations value is can obtain using the method, product design level and performance and vehicle ride performance and security is improved；Meanwhile, design and experimental test expense are reduced, accelerate product development speed.

Description

The Method for Checking of the offset frequency type progressive rate leaf spring contact load such as two-stage auxiliary spring formula is non-

Technical field

The present invention relates to the offset frequency type progressive rate leaf spring contact such as vehicle suspension leaf spring, particularly two-stage auxiliary spring formula be non- The Method for Checking of load.

Background technology

In order to improve the design requirement of ride performance of the vehicle under rated load, by former first-order gradient rigidity leaf spring Auxiliary spring splits and is designed as two-stage auxiliary spring, i.e., using two-stage auxiliary spring formula progressive rate leaf spring；Simultaneously as the system of acceptor's spring intensity About, generally by main spring initial tangential camber, first order auxiliary spring and second level auxiliary spring initial tangential camber and two-stage gradual change gap, Auxiliary spring is set suitably to undertake load in advance, so as to reduce main spring stress, the suspension offset frequency under contact load is unequal, i.e. two-stage pair The offset frequency type progressive rate leaf spring such as spring formula is non-, wherein, contact load not only influences the stress intensity of leaf spring, progressive rate and scratches Degree, and have an effect on suspension offset frequency and vehicle ride performance and security.However, due to by the offset frequency type such as two-stage auxiliary spring formula is non- The root lap equivalent thickness of progressive rate leaf spring and the restriction of amount of deflection computational problem, had previously failed to provide two-stage pair always The Method for Checking of the offset frequency type progressive rate leaf spring contact load such as spring formula is non-, it is thus impossible to meet Vehicle Industry it is fast-developing and Bearing spring suspension modernizes the requirement of CAD design and software development.With Vehicle Speed and to vehicle ride performance With the continuous improvement of security requirement, requirements at the higher level are proposed to progressive rate plate spring suspension brackets, therefore, it is necessary to set up a kind of essence The Method for Checking of the offset frequency type progressive rate leaf spring contact load such as really, reliable two-stage auxiliary spring formula is non-, is two-stage auxiliary spring formula non-etc. Offset frequency type progressive rate leaf spring is designed and reliable technical foundation is established in art CAD software exploitation, meets Vehicle Industry quick Development, vehicle safety and the design requirement to progressive rate leaf spring, improve the offset frequency type gradual changes such as two-stage auxiliary spring formula is non-firm Spend design level, product quality and reliability and the vehicle safety of leaf spring；Meanwhile, design and testing expenses are reduced, plus Fast product development speed.

The content of the invention

For defect present in above-mentioned prior art, the technical problems to be solved by the invention be to provide it is a kind of easy, The Method for Checking of the offset frequency type progressive rate leaf spring contact load such as reliable two-stage auxiliary spring formula is non-, design cycle is as shown in Figure 1.Two The half symmetrical structure of the level offset frequency type progressive rate leaf spring such as auxiliary spring formula is non-is as shown in Fig. 2 be by main spring 1, the and of first order auxiliary spring 2 Second level auxiliary spring 3 is constituted.Using two-stage auxiliary spring, between main spring and first order auxiliary spring and first order auxiliary spring and second level auxiliary spring between It is provided with two-stage gradual change gap delta_MA1And δ_A12, to improve the vehicle ride performance under rated load；Should in order to ensure meeting main spring Force intensity design requirement, first order auxiliary spring and second level auxiliary spring suitably undertake load in advance, and suspension gradual change load offset frequency is unequal, Will leaf spring be designed as the offset frequency type progressive rate leaf spring such as non-.The half total span of leaf spring is equal to the first half effect length of main spring Degree L_1T, U-bolts clamp away from half be L₀, width is b, and elastic modelling quantity is E.The piece number of main spring 1 is n, i-th main spring Main spring thickness is h_i, half action length is L_iT, half clamping length L_i=L_iT-L₀/ 2, i=1,2 ..., n.First order auxiliary spring Piece number is m₁, the thickness of jth piece one-level auxiliary spring is h_A1j=h_n+j, half action length is L_A1jT, half clamping length L_A1j=L_n+j =L_A1jT-L₀/ 2, j=1,2 ..., m₁.The piece number sum N of main spring and first order auxiliary spring₁=n+m₁.Second level auxiliary spring piece number is m₂, Wherein, the thickness of kth piece auxiliary spring is h_A2k=h_N1+k, half action length is L_A2kT, half clamping length L_A2k=L_N1+k= L_A2kT-L₀/ 2, k=1,2 ..., m₂.The piece number sum N of main spring and first order auxiliary spring₁=n+m₁, the total tablet number N=n+m of major-minor spring₁ +m₂.Contact load not only influences stress intensity, progressive rate and the amount of deflection of leaf spring, and has an effect on suspension offset frequency and vehicle row Sail ride comfort and security.Each main spring according to the leaf spring with gradually changing stiffness is joined with the structure of the first order and second level auxiliary spring Number, elastic modelling quantity and initial tangential camber design load, the offset frequency type progressive rate leaf spring contact load such as non-to two-stage auxiliary spring formula Checked, it is ensured that each time contact load meets leaf spring design requirement.

In order to solve the above technical problems, the offset frequency type progressive rate leaf spring contact such as two-stage auxiliary spring formula provided by the present invention is non- The Method for Checking of load, it is characterised in that use following checking computations step：

(1) calculating of the radius of curvature of the main spring and auxiliary spring at different levels of offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-：

I steps：Main spring tailpiece lower surface initial curvature radius R_M0bCalculating

According to main spring initial tangential camber H_gM0, the half clamping length L of first of main spring₁, main reed number n, each main spring thickness Degree h_i, i=1,2 ..., n；To main spring tailpiece lower surface initial curvature radius R_M0bCalculated, i.e.,

II steps：First of first order auxiliary spring upper surface initial curvature radius R_A10aCalculating

According to the first order auxiliary spring half clamping length L of first_A11, first order auxiliary spring auxiliary spring initial tangential camber H_gA10, it is right First of first order auxiliary spring upper surface initial curvature radius R_A10aCalculated, i.e.,

III steps：First lower surface initial curvature radius R of first order auxiliary spring_A10bCalculating

According to first order auxiliary spring piece number m₁, the thickness h that first order auxiliary spring is each_A1j, j=1,2 ..., m₁；And II steps are fallen into a trap The R for obtaining_A10a, to first lower surface initial curvature radius R of first order auxiliary spring_A10bCalculated, i.e.,

IV steps：First of second level auxiliary spring upper surface initial curvature radius R_A20aCalculating

According to the second level auxiliary spring half clamping length L of first_A21, second level auxiliary spring initial tangential camber H_gA20, to second First of auxiliary spring of level upper surface initial curvature radius R_A20aCalculated, i.e.,

(2) the 1st time of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-starts contact load P_k1Checking computations：

According to the width b of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-, elastic modulus E；The half of first of main spring Clamp span length's degree L₁, main reed number n, each thickness h of main spring_i, i=1,2 ..., n；It is calculated in the I steps of step (1) R_M0b, the R being calculated in II_A10a, contact load P is started to the 1st time_k1Checked, i.e.,

In formula, h_MeIt is the equivalent thickness of main spring root lap,

(3) the 2nd time of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-starts contact load P_k2Checking computations：

According to the width b of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-, elastic modulus E；The half of first of main spring Clamp span length's degree L₁, main reed number n, each thickness h of main spring_i, i=1,2 ..., n；First order auxiliary spring piece number m₁, first order pair The thickness h that spring is each_A1j, j=1,2 ..., m₁；The R being calculated in the I steps of step (1)_M0b, it is calculated in II steps R_A10a, and the P that checking computations are obtained in step (2)_k1, contact load P is started to the 2nd time_k2Checked, i.e.,

In formula, h_MA1eIt is main spring and the equivalent thickness of the root lap of first order auxiliary spring,

(4) the 2nd full contact load p of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-_w2Checking computations：

According to the P that checking computations in step (2) are obtained_k1, the P that checking computations are obtained in step (3)_k2, to the 2nd full contact load P_w2Checked, i.e.,

The present invention has the advantage that than prior art

Due to root lap equivalent thickness and deflectometer by the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non- The restriction of calculation problem, previously fails to provide the checking computations side of the offset frequency type progressive rate leaf spring contact loads such as two-stage auxiliary spring formula is non-always Method, it is thus impossible to meet fast-developing and bearing spring suspension modernization CAD design and software development the requirement of Vehicle Industry. The present invention can according to the structural parameters of each main spring and auxiliary spring, initial cut camber design load and U-bolts is clamped away from contact is carried Relation and each contact load matched design principle between lotus and leaf spring radius of curvature, amount of deflection and initial tangential camber, to two-stage Auxiliary spring formula is non-etc., and offset frequency type progressive rate leaf spring contact load is checked.Checked by example, it is provided by the present invention The Method for Checking of the offset frequency type progressive rate leaf spring contact load such as two-stage auxiliary spring formula is non-is correct, is that the non-grade of two-stage auxiliary spring formula is inclined The characteristic Simulation calculating of frequency type progressive rate leaf spring and the check meter of initial tangential camber, maximum spacing amount of deflection and stress intensity Calculate, established reliable technical foundation.The offset frequency type progressive rate plates such as reliable two-stage auxiliary spring formula is non-are can obtain using the method Each contact load checking computations value of spring, improves the design level and performance of the offset frequency type progressive rate leaf springs such as two-stage auxiliary spring formula is non-, drop Low design and experimental test expense, accelerate product development speed.

Brief description of the drawings

For a better understanding of the present invention, it is described further below in conjunction with the accompanying drawings.

Fig. 1 is the checking computations flow chart of the offset frequency type progressive rate leaf spring contact loads such as two-stage auxiliary spring formula is non-；

Fig. 2 is the half symmetrical structure schematic diagram of the offset frequency type progressive rate leaf springs such as two-stage auxiliary spring formula is non-.

Specific embodiment

The present invention is described in further detail below by embodiment.

Embodiment：The width b=63mm of the offset frequency type progressive rate leaf spring such as certain two-stage auxiliary spring formula is non-, U-bolts clamp away from Half L₀=50mm, elastic modulus E=200GPa.The total tablet number of major-minor spring is N=5, wherein, main reed number n=3 pieces, respectively The thickness h of the main spring of piece₁=h₂=h₃=8mm, half action length is respectively L_1T=525mm, L_2T=450mm, L_3T=350mm； The half clamping length of each main spring is respectively L₁=L_1T-L₀/ 2=500mm, L₂=L_2T-L₀/ 2=425mm, L₃=L_3T-L₀/2 =325mm.The piece number m of first order auxiliary spring₁=1, thickness h_A11=13mm, half action length is L_A11T=250mm, half folder Tight length is L_A11=L_A11T-L₀/ 2=225mm.The piece number m of second level auxiliary spring₂=1, thickness h_A21=13mm, half action length It is L_A21T=150mm, half clamping length is L_A12=L_A21T-L₀/ 2=125mm.The initial tangential camber H of main spring_gM0= 85.3mm, the initial tangential camber H of first order auxiliary spring_gA10=9.1mm, the initial tangential camber H of second level auxiliary spring_gA20= 2.4mm.Each main spring and the first order and the structural parameters of second level auxiliary spring, elastic modelling quantity according to the leaf spring with gradually changing stiffness And initial tangential camber design load, the carrying out of the offset frequency type progressive rate leaf spring contact load such as non-to the two-stage auxiliary spring formula check.

The Method for Checking of the offset frequency type progressive rate leaf spring contact load such as two-stage auxiliary spring formula that present example is provided is non-, Its checking computations flow is as shown in figure 1, specifically checking computations step is as follows：

(1) calculating of the radius of curvature of the main spring and auxiliary spring at different levels of offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-：

I steps：Main spring tailpiece lower surface initial curvature radius R_M0bCalculating

Initial tangential camber H according to main spring_gM0=85.3mm, the half clamping length L of first of main spring₁=500mm, it is main Reed number n=3, each main spring thickness h₁=h₂=h₃=8mm, to main spring tailpiece lower surface initial curvature radius R_M0bCounted Calculate, i.e.,

II steps：First of first order auxiliary spring upper surface initial curvature radius R_A10aCalculating

According to the first order auxiliary spring half clamping length L of first_A11=225mm, first order auxiliary spring initial tangential camber H_gA10 =9.1mm, to first of first order auxiliary spring upper surface initial curvature radius R_A10aCalculated, i.e.,

III steps：First lower surface initial curvature radius R of first order auxiliary spring_A10bCalculating

According to first order auxiliary spring piece number m₁=1, thickness h_A11The R being calculated in=13mm, and II steps_A10a= 2786.1mm, to first lower surface initial curvature radius R of first order auxiliary spring_A10bCalculated, i.e.,

IV steps：First of second level auxiliary spring upper surface initial curvature radius R_A20aCalculating

According to the second level auxiliary spring half clamping length L of first_A21=125mm, second level auxiliary spring initial tangential camber H_gA20 =2.4mm, to first of second level auxiliary spring upper surface initial curvature radius R_A20aCalculated, i.e.,

(2) the 1st time of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-starts contact load P_k1Checking computations：

According to the width b=63mm of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-, elastic modulus E=200GPa； The half of first of main spring clamps span length's degree L₁=500mm, main reed number n=3, each thickness h₁=h₂=h₃=8mm, step (1) I steps in the R that is calculated_M0bThe R being calculated in=1532.1mm, II_A10a=2786.1mm, contact is started to the 1st time Load p_k1Checked, i.e.,

In formula, h_MeIt is the equivalent thickness of main spring root lap,

(3) the 2nd time of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-starts contact load P_k2Checking computations：

According to the width b=63mm of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-, elastic modulus E=200GPa； The half of first of main spring clamps span length's degree L₁=500mm, main reed number n=3, each thickness h of main spring₁=h₂=h₃=8mm； First order auxiliary spring piece number m₁=1, thickness h_A11=13mm；The R being calculated in the I steps of step (1)_M0b=1532.1mm, II The R being calculated in step_A10aThe P that checking computations are obtained in=2786.1mm, and step (2)_k1=1895.3N, starts to connect to the 2nd time Touch load p_k2Checked, i.e.,

In formula, h_MA1eIt is main spring and the equivalent thickness of the root lap of first order auxiliary spring,

(4) the 2nd full contact load p of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-_w2Checking computations：

According to the P that checking computations in step (2) are obtained_k1The P that checking computations are obtained in=1895.3N, step (3)_k2=2681.3N is right 2nd full contact load p_w2Checked, i.e.,

Compare and understand, the 1st time obtained by checking computations starts contact load P_k1=1895.3N, the 2nd beginning contact load P_k2=2681.3N, and the 2nd full contact load p_w2=3793N, matches with design requirement value, illustrates the two-stage auxiliary spring formula The major-minor of the offset frequency type progressive rate leaf spring such as non-and the initial tangential camber design load of auxiliary spring at different levels are reliable, can be met each time The design requirement of contact load, meanwhile, show that the offset frequency type progressive rate leaf springs such as two-stage auxiliary spring formula provided by the present invention is non-connect It is correct to touch the Method for Checking of load, is that the characteristic Simulation of the offset frequency type progressive rate leaf springs such as two-stage auxiliary spring formula is non-is calculated and just The calculation and check of beginning tangent line camber, maximum spacing amount of deflection and stress intensity, has established reliable technical foundation.Can using the method Each contact load checking computations values of offset frequency type progressive rate leaf spring such as reliable two-stage auxiliary spring formula is non-are obtained, two-stage auxiliary spring formula is improved non- Etc. the design level and performance and vehicle ride performance of offset frequency type progressive rate leaf spring；Meanwhile, design and testing expenses are reduced, Accelerate product development speed.

Claims (1)

1. the Method for Checking of the offset frequency type progressive rate leaf spring contact load such as two-stage auxiliary spring formula is non-, wherein, each leaf spring is in Heart mounting hole symmetrical structure, install clamp away from half for U-bolts clamp away from half；Auxiliary spring is designed as two-stage pair Spring, by the initial tangential camber and two-stage gradual change gap of main spring and auxiliary spring at different levels, improves traveling of the vehicle under rated load Ride comfort；In order to ensure meeting main spring stress intensity design requirement, first order auxiliary spring and second level auxiliary spring is set suitably to undertake in advance Load, the offset frequency being suspended under gradual change load is unequal, i.e., non-etc. offset frequency type progressive rate leaf spring；According to each structure of leaf spring Parameter, elastic modelling quantity, initial tangential camber, the carrying out of the offset frequency type progressive rate leaf spring contact load such as non-to two-stage auxiliary spring formula is tested Calculate, specific checking computations step is as follows：

(1) calculating of the radius of curvature of the main spring and auxiliary spring at different levels of offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-：

I steps：Main spring tailpiece lower surface initial curvature radius R_M0bCalculating

According to main spring initial tangential camber H_gM0, the half clamping length L of first of main spring₁, main reed number n, each main spring thickness h_i, I=1,2 ..., n；To main spring tailpiece lower surface initial curvature radius R_M0bCalculated, i.e.,

$R_{M0b}=\frac{{L_1}^2+H_{gM0}^2}{2H_{gM0}}+\underset{i=1}{\overset{n}{\Σ}}{h}_i;$

II steps：First of first order auxiliary spring upper surface initial curvature radius R_A10aCalculating

According to the first order auxiliary spring half clamping length L of first_A11, first order auxiliary spring auxiliary spring initial tangential camber H_gA10, to first First of auxiliary spring of level upper surface initial curvature radius R_A10aCalculated, i.e.,

$R_{A10a}=\frac{L_{A11}^2+H_{gA10}^2}{2H_{gA10}};$

III steps：First lower surface initial curvature radius R of first order auxiliary spring_A10bCalculating

According to first order auxiliary spring piece number m₁, the thickness h that first order auxiliary spring is each_A1j, j=1,2 ..., m₁；And calculated in II steps The R for arriving_A10a, to first lower surface initial curvature radius R of first order auxiliary spring_A10bCalculated, i.e.,

$R_{A10b}=R_{A10a}+\underset{j=1}{\overset{m_1}{\Σ}}{h}_{A1j};$

IV steps：First of second level auxiliary spring upper surface initial curvature radius R_A20aCalculating

According to the second level auxiliary spring half clamping length L of first_A21, second level auxiliary spring initial tangential camber H_gA20, to second level pair First of spring upper surface initial curvature radius R_A20aCalculated, i.e.,

$R_{A20a}=\frac{L_{A21}^2+H_{gA20}^2}{2H_{gA20}};$

(2) the 1st time of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-starts contact load P_k1Checking computations：

According to the width b of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-, elastic modulus E；The half of first of main spring is clamped Span length's degree L₁, main reed number n, each thickness h of main spring_i, i=1,2 ..., n；The R being calculated in the I steps of step (1)_M0b, The R being calculated in II_A10a, contact load P is started to the 1st time_k1Checked, i.e.,

$P_{k1}=\frac{{\mathrm{Ebh}}_{Me}^3(R_{A10a}-R_{M0b})}{6L_1{R}_{M0b}{R}_{A10a}};$

In formula, h_MeIt is the equivalent thickness of main spring root lap,

(3) the 2nd time of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-starts contact load P_k2Checking computations：

According to the width b of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-, elastic modulus E；The half of first of main spring is clamped Span length's degree L₁, main reed number n, each thickness h of main spring_i, i=1,2 ..., n；First order auxiliary spring piece number m₁, first order auxiliary spring is each The thickness h of piece_A1j, j=1,2 ..., m₁；The R being calculated in the I steps of step (1)_M0b, the R being calculated in II steps_A10a, And the P that checking computations are obtained in step (2)_k1, contact load P is started to the 2nd time_k2Checked, i.e.,

$P_{k2}=P_{k1}+\frac{{\mathrm{Ebh}}_{MA1e}^3(R_{A20a}-R_{A10b})}{6L_1{R}_{A10b}{R}_{A20a}}$

In formula, h_MA1eIt is main spring and the equivalent thickness of the root lap of first order auxiliary spring,

(4) the 2nd full contact load p of the offset frequency type progressive rate leaf spring such as two-stage auxiliary spring formula is non-_w2Checking computations：

According to the P that checking computations in step (2) are obtained_k1, the P that checking computations are obtained in step (3)_k2, to the 2nd full contact load p_w2Enter Row checking computations, i.e.,

$P_{w2}=\frac{P_{k2}^2}{P_{k1}}.$