CN107956830A - The structure formulas such as root reinforcement lack the simulation calculation method that piece changeable section plate spring clamps endpoint power - Google Patents

The structure formulas such as root reinforcement lack the simulation calculation method that piece changeable section plate spring clamps endpoint power Download PDF

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CN107956830A
CN107956830A CN201810051100.5A CN201810051100A CN107956830A CN 107956830 A CN107956830 A CN 107956830A CN 201810051100 A CN201810051100 A CN 201810051100A CN 107956830 A CN107956830 A CN 107956830A
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root
leaf
leaf spring
section
spring
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周长城
杨铖兆
赵雷雷
于曰伟
杨腾飞
梁宇通
汪晓
李晓晗
袁光明
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Shandong University of Technology
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    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F3/00—Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic
    • F16F3/02—Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic with springs made of steel or of other material having low internal friction
    • F16F3/023—Spring units consisting of several springs, e.g. for obtaining a desired spring characteristic with springs made of steel or of other material having low internal friction composed only of leaf springs
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F1/00—Springs
    • F16F1/02—Springs made of steel or other material having low internal friction; Wound, torsion, leaf, cup, ring or the like springs, the material of the spring not being relevant
    • F16F1/18—Leaf springs
    • F16F1/185—Leaf springs characterised by shape or design of individual leaves
    • F16F1/187—Leaf springs characterised by shape or design of individual leaves shaped into an open profile, i.e. C- or U-shaped
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/15—Vehicle, aircraft or watercraft design
    • 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
    • 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
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F2226/00—Manufacturing; Treatments
    • F16F2226/04—Assembly or fixing methods; methods to form or fashion parts
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F2228/00—Functional characteristics, e.g. variability, frequency-dependence
    • F16F2228/06—Stiffness
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F2230/00—Purpose; Design features
    • F16F2230/0082—Dimensional tolerances, e.g. play between mechanical elements
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F2230/00—Purpose; Design features
    • F16F2230/40—Multi-layer
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F2238/00—Type of springs or dampers
    • F16F2238/02—Springs
    • F16F2238/022—Springs leaf-like, e.g. of thin, planar-like metal
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/06—Power analysis or power optimisation

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Abstract

The present invention relates to the simulation calculation method that the structure formulas such as root reinforcement lack piece changeable section plate spring clamping endpoint power, belong to suspension and lack piece changeable section plate spring technical field.The present invention can be according to leaf spring the piece number, elasticity modulus, the thickness of the structural parameters of each leaf spring and free tangent line camber, root shim and end pad, the structure formula such as strengthens root and lack the next each leaf spring pinching end point power progress simulation calculation of piece parabolic type changeable section plate spring mounting clip.Pass through prototype test, the simulation calculation method that the structure formulas such as root reinforcement provided by the present invention lack piece changeable section plate spring clamping endpoint power is accurate, the available simulation calculation value for accurately and reliably clamping endpoint power, the simulation calculation that each next pre- clamping stress of leaf spring of piece changeable section plate spring mounting clip is lacked for structure formulas such as root reinforcements have established reliable technical foundation.The design level and reliability and vehicle safety of product can be improved using this method；Meanwhile design and testing expenses are reduced, accelerate product development speed.

Description

Root-reinforced equal-structure type few-leaf variable-cross-section plate spring clamping end point force simulation calculation method
Technical Field
The invention relates to a few-leaf variable-section plate spring of a vehicle suspension, in particular to a simulation calculation method of clamping end point force of a root-reinforced isomorphic few-leaf variable-section plate spring.
Background
With the rapid development of energy conservation, comfort, light weight and safety of automobiles, few-piece variable cross-section plate springs are increasingly concerned by vehicle suspension experts, manufacturers and vehicle manufacturers due to the advantages of light weight, high material utilization rate, no friction or small friction among pieces, low vibration noise, long service life and the like, and are widely applied to vehicle suspension systems, wherein in order to strengthen the strength of the root of the plate spring, an inclined line section can be added between a straight section at the root and a parabolic section, and the structures of the plate springs are the same, namely the root of the leaf spring is strengthened and the like. Generally, in order to improve the design requirements of the reliability and the service life of the plate spring, after the plate springs are assembled and clamped, the first plate spring or the first plurality of plate springs generate certain pre-clamping pressure stress through different free tangent arc heights of the plate springs, so that the reliability and the service life of the plate spring are improved; meanwhile, the initial tangent arc height of the first plate spring is ensured to meet the design requirement. For root-reinforced isomorphic parabolic variable-section leaf springs of a given design structure, simulation calculation must be carried out on pre-clamping stress of each leaf spring if the pre-clamping stress meets the design requirements, and the premise of the pre-clamping stress simulation calculation is that the clamping end point force of each leaf spring is subjected to simulation calculation. However, according to the data found, because the calculation of the clamping rigidity of each leaf spring is very complicated and is limited by the relationship between the free tangent arc height of each leaf spring and the initial tangent arc height, clamping rigidity and clamping end point force of each leaf spring, the simulation calculation method of the clamping end point force of the few-leaf variable-section leaf springs with root reinforcement and other structural formulas has not been provided previously. Along with the continuous improvement of the vehicle running speed and the requirement on the smoothness, higher requirements are provided for the equal-structure few-leaf parabolic variable-cross-section plate spring, therefore, an accurate and reliable simulation calculation method of clamping end point force of the equal-structure few-leaf variable-cross-section plate spring with reinforced roots must be established, a reliable technical basis is laid for the simulation calculation of the pre-clamping stress of each leaf spring, the design requirements of the rapid development, the vehicle running smoothness and safety and the equal-structure parabolic variable-cross-section plate spring with reinforced roots in the vehicle industry are met, and the design requirements of the design level, the reliability, the service life and the vehicle running safety of a product are improved; meanwhile, the design and test cost of the product is reduced, and the product development speed is accelerated.
Disclosure of Invention
In view of the above-mentioned drawbacks in the prior art, the present invention provides a simple and reliable simulation calculation method for clamping end point force of a root-reinforced uniform-structure type few-leaf variable-section leaf spring, which has a flow chart of simulation calculation, as shown in fig. 1. The root-reinforced isomorphic parabolic variable cross-section leaf spring is a structure symmetrical about a center through hole, and a semi-symmetrical clamping structure schematic diagram is shown in fig. 2, wherein the leaf spring comprises a leaf spring 1, a root gasket 2 and an end gasket 3. The number of the plate springs 1 is n, the plate springs have the same structure, wherein n is more than or equal to 2 and less than or equal to 5; each leaf spring has a width b, an elastic modulus E and a half action length L T The flat spring is composed of a root straight section, an oblique line section, a parabolic section and an end straight section, wherein the root straight section is used for assembling and clamping a riding bolt, the oblique line section plays a role in reinforcing the root of the plate spring, and the plate springs are identical in structure, namely the root is reinforced and the like. The horizontal length of the diagonal line segment of each plate spring is delta l, and the horizontal distance l from the root of the diagonal line segment to the end point of the plate spring 2 ＝L T -L 0 Horizontal distance l from the root of the parabolic segment to the end of the leaf spring 2p ＝L T -L 0 - Δ l. The thickness of the root straight section of each plate spring is h 2 The thickness of the root of the parabolic segment is h 2p Wherein h is 2 >h 2p ≥h 2 l 2p /l 2 The thickness of the end straight section is h 1 . The thickness ratio of the diagonal line segment of each leaf spring is gamma = h 2p /h 2 Thickness ratio of parabolic segment β = h 1 /h 2p . The length of the end straight section of each leaf spring is l 1 ＝l 2p β 2 . Root gaskets 2 are arranged between the roots of the leaf springs, and the thickness of the root gaskets is delta c . An end pad 3 is provided between the ends of the leaf springs, the thickness of the end pad being delta e The material is carbon fiber composite material to reduce the friction noise generated by the operation of the plate spring. Free tangent arc height H of each plate spring gi0 The initial tangent arc height of the first plate spring after being assembled and clamped is H gC1 The clamping end point force of each plate spring is F i Pre-clamping stress of σ i I =1,2, \ 8230;, n. The initial tangent arc height of the first plate spring after assembly and clamping and the pre-clamping stress of each plate spring meet the design requirements through the different free tangent arc heights of each plate spring. The simulation calculation of the clamping end point force is a premise of the simulation calculation of the pre-clamping stress of each plate spring. And (3) according to the number of the plate springs, the elastic modulus, the thicknesses of the root gaskets and the end gaskets, the structural parameters of each plate spring and the design value of the free tangent arc height, carrying out simulation calculation on the clamping end point force of each plate spring after the root-reinforced isomorphic parabolic variable-section plate spring is assembled and clamped.
In order to solve the technical problem, the simulation calculation method of the clamping end point force of the root strengthening isomorphic few-leaf variable-section plate spring is characterized by comprising the following simulation calculation steps of:
(1) Calculating the clamping rigidity K of each leaf spring of the root strengthening equal structure type few-leaf parabolic variable-cross-section leaf spring:
step A: clamping end point deformation coefficient G of each plate spring x-E Is calculated by
According to the width b, the elastic modulus E, the horizontal length delta l of the diagonal line segment, and the horizontal distance l from the root of the diagonal line segment to the end point of the plate spring 2 Horizontal distance l from the root of the parabolic segment to the end of the leaf spring 2p Thickness h of root straight section of each leaf spring 2 The thickness of the root of the parabolic segment is h 2p Thickness h of the end straight section 1 The thickness ratio of the diagonal line segments of each leaf spring is gamma = h 2p /h 2 Thickness ratio of parabolic segment β = h 1 /h 2p The clamping end point deformation coefficient G of each leaf spring of the root reinforced isomorphic parabolic variable cross-section leaf spring x-E Perform calculations, i.e.
And B, step: calculation of clamping stiffness K of each leaf spring
According to the thickness h of the root straight section of each plate spring 2 G calculated in step A x-E Calculating the clamping rigidity K of each plate spring of the root reinforcing isomorphic few-piece parabolic variable cross-section plate spring, namely
(2) Initial tangent arc height H of first plate spring of root-reinforced equal-structure type few-leaf parabolic variable-cross-section plate spring gC1 The determination of (1):
according to the number n of the plate springs and the thickness delta of the root gasket c End pad thickness delta e Thickness h of root straight section of each leaf spring 2 Thickness h of the end straight section 1 Design value H of free tangent arc height of each leaf spring gi0 I =1,2, \8230n, n, the initial tangent arc height H of the first leaf spring after the root-reinforced isomorphic few-leaf parabolic variable-section leaf spring is assembled and clamped gC1 Make a determination that
(3) Root-reinforced equal-structure type few-leaf parabola-shaped variable-section leaf spring and initial tangent arc height H of other leaf springs gCi The determination of (1):
according to the number n of the plate springs and the thickness delta of the root gasket c End pad thickness delta e Thickness h of root straight section of each leaf spring 2 Thickness h of the end straight section 1 H obtained by simulation calculation in step (2) gC1 After root-reinforced isomorphic few-leaf parabolic variable-cross-section leaf springs are assembled and clamped, the initial tangential arc height H of each leaf spring except the first leaf spring is increased gCi A determination was made i =2,3, \ 8230;, n, i.e.
H gCi ＝H gC1 +(h 2 +δ c )-(h 1 +δ e ),i＝2,3,…,n；
(4) Root-reinforced equal-structure type few-leaf parabola-shaped variable-section leaf spring clamping end point force F i The simulation calculation of (2):
according to the number n of the plate springs, the design value H of the free tangent line arc height of each plate spring gi0 K calculated in step (1), H determined in step (2) and step (3) gCi Clamping end point force F of each leaf spring after assembling and clamping root strengthening equal structure type few-leaf parabolic variable cross-section leaf spring i Simulation calculation is carried out, i =1,2, \8230, n, namely
The invention has the advantages over the prior art
In the prior art, an accurate and reliable simulation calculation method for clamping end point force of root reinforcing equal-structure type few-leaf variable-section plate springs is not provided for root reinforcing equal-structure type parabolic variable-section plate springs, and the requirements of rapid development of vehicles and modern CAD design of suspension plate springs cannot be met. According to the invention, the clamping end point force of each plate spring after the root-reinforced isomorphic parabolic variable-cross-section plate spring is assembled and clamped can be simulated and calculated according to the number of the plate springs, the elastic modulus, the thicknesses of the root gasket and the end gasket, the structural parameters of each plate spring and the design value of the free tangent arc height. According to prototype test, the simulation calculation method for the clamping end point force of the root-reinforced isomorphic few-leaf variable-cross-section leaf spring provided by the invention is correct, can obtain an accurate and reliable simulation calculation value for the clamping end point force of each leaf spring after assembly and clamping, and lays a reliable technical foundation for the simulation calculation of the pre-clamping stress of each leaf spring after the root-reinforced isomorphic parabolic variable-cross-section leaf spring is assembled and clamped. The method can improve the design level, reliability, service life and vehicle driving safety of the product; meanwhile, the design and test cost of the product is reduced, and the product development speed is accelerated.
Drawings
For a better understanding of the present invention, reference is made to the following further description taken in conjunction with the accompanying drawings.
FIG. 1 is a flow chart of a simulation calculation of root-reinforced isomorphic parabolic variable cross-section leaf spring clamping end point force;
fig. 2 is a schematic view of a half clamping structure of a root-reinforced isomorphic parabolic variable cross-section leaf spring.
Detailed description of the preferred embodiments
The present invention will be described in further detail by way of examples.
The first embodiment is as follows: the width b =60mm and half action length L of a certain root reinforced isomorphic parabolic variable cross-section plate spring T =575mm, half the length L of the root straight section clamped by the horseback bolts 0 =50mm, horizontal distance l from base of diagonal line segment to end point of leaf spring 2 ＝L T -L 0 =525mm, horizontal length Δ l of diagonal segment =30mm, horizontal distance l from root of parabolic segment to end point of leaf spring 2p ＝l 2 - Δ l =495mm, modulus of elasticity E =200GPa. The number of leaf springs n =3, the thickness h of the root straight section of each leaf spring 2 =18mm, root thickness h of parabolic segment 2p =17mm, thickness h of the end straight section 1 =8mm. The thickness ratio of the diagonal line segment of each leaf spring is gamma = h 2 /h 2p =0.9444, thickness ratio of parabolic segments β = h 1 /h 2p =0.4706. Design value H of free tangent arc height of each plate spring g10 ＝91.6mm，H g20 ＝102mm，H g30 =105.4mm. Root shim thickness δ c =3mm, end pad thickness δ e =6mm. And (3) according to the number of the plate springs, the elastic modulus, the thicknesses of the root gasket and the end gasket, the structural parameters of each plate spring and the design value of the free tangent arc height, carrying out simulation calculation on the clamping end point force of each plate spring after the root-reinforced isomorphic parabolic variable-section plate spring is assembled and clamped.
The simulation calculation process of the root strengthening isomorphic few-leaf variable cross-section plate spring clamping end point force provided by the embodiment of the invention is shown in figure 1, and the specific simulation calculation steps are as follows:
(1) Calculating the clamping rigidity K of each leaf spring of the root strengthening equal structure type few-leaf parabolic variable-cross-section leaf spring:
step A: clamping end point deformation coefficient G of each plate spring x-E Is calculated by
According to the width b =60mm, the elastic modulus E =200GPa, the horizontal length delta l =30mm of the diagonal line segment and the horizontal distance l from the root of the diagonal line segment to the end point of the plate spring 2 =525mm, horizontal distance l from the base of the parabolic segment to the end point of the leaf spring 2p =495mm, the thickness ratio γ =0.9444 in the diagonal line segment, the thickness ratio β =0.4706 in the parabolic line segment, and the clamping end point deformation coefficient G of each leaf spring for reinforcing the root portion of the isomorphic parabolic variable cross-section leaf spring x-E Perform calculations, i.e.
And B, step: calculation of clamping stiffness K of each leaf spring
According to the thickness h of the root straight section of each plate spring 2 =18mm G calculated in stage a x-E ＝99.475mm 4 N, calculating the clamping rigidity K of each leaf spring of the root reinforced isomorphic few-leaf parabolic variable cross-section leaf spring, namely
(2) Initial tangent arc height H of first plate spring of root-reinforced equal-structure type few-leaf parabolic variable-cross-section plate spring gC1 Determination of (1):
root shim thickness δ according to leaf spring number n =3 c =3mm, end pad thickness δ e Design value H of =6mm, free tangent arc height of each leaf spring g10 ＝91.6mm，H g20 ＝102mm，H g30 =105.4mm, thickness of root straight section h 2 =18mm, thickness h of the end straight section 1 =8mm, initial tangent arc height H of the first plate spring after the root-reinforced equal-structure type few-leaf parabolic variable-section plate spring is assembled and clamped gC1 Make a determination that
(3) Root-reinforced equal-structure type few-leaf parabola-shaped variable-section leaf spring and initial tangent arc height H of other leaf springs gCi Determination of (1):
root shim thickness δ according to leaf spring number n =3 c =3mm, end pad thickness δ e =6mm, thickness h of root straight section of each leaf spring 2 =18mm, thickness h of the end straight section 1 =8mm, H determined in step (2) gC1 =95mm, and the initial tangent arc height H of each leaf spring except the first leaf spring after the root-reinforced isomorphic few-leaf parabolic variable-section leaf spring is assembled and clamped gCi Make a determination that i =2,3, i.e.
H gC2 ＝H gC1 +(h 2 +δ c )-(h 1 +δ e )＝102mm，
H gC3 ＝H gC1 +(h 2 +δ c )-(h 1 +δ e )＝102mm。
(4) Root-reinforced equal-structure type few-leaf parabola-shaped variable-section leaf spring clamping end point force F i The simulation calculation of (2):
according to the number n =3 of the plate springs, the design value H of the free tangent arc of each plate spring is high g10 ＝91.6mm，H g20 ＝102mm，H g30 =105.4mm, K =117.26N/mm calculated in step (1), H determined in steps (2) and (3) gC1 ＝95mm，H gC2 ＝102mm，H gC3 =102mm, clamping end point force F of each leaf spring after assembling and clamping the root reinforced isomorphic few-leaf parabolic variable cross-section leaf spring i Simulation calculation is carried out, i =1,2, \8230, n, namely
According to prototype test, the root-reinforced isomorphic type few-leaf variable-section leaf spring clamping end point force simulation calculation method provided by the invention is correct, accurate and reliable simulation calculation values of the clamping end point force of each leaf spring can be obtained, and a reliable technical foundation is laid for simulation calculation of the pre-clamping stress of each leaf spring.
Example two: the width b =60mm and half action length L of a root reinforced isomorphic parabolic variable cross-section plate spring T =575mm, rideHalf length L of root straight section clamped by horse bolt 0 =50mm, horizontal distance l from base of diagonal line segment to end point of leaf spring 2 ＝L T -L 0 =525mm, horizontal length Δ l of diagonal segment =30mm, horizontal distance l from root of parabolic segment to end point of leaf spring 2p ＝l 2 - Δ l =495mm, elastic modulus E =200GPa. The number of leaf springs n =4, and the thickness h of the root straight section of each leaf spring 2 =16mm, root thickness h of parabolic segment 2p =15.2mm, thickness h of the end straight section 1 =7mm. The thickness ratio of the diagonal line segment of each leaf spring is gamma = h 2 /h 2p =0.95, thickness ratio of parabolic segment β = h 1 /h 2p =0.4605. Design value H of free tangent arc height of each plate spring g10 ＝87.3mm，H g20 ＝95.1mm，H g30 ＝96.9mm，H g40 =98.74mm. Root shim thickness δ c =3mm, end pad thickness δ e =6mm. And (3) according to the number of the plate springs, the elastic modulus, the thicknesses of the root gasket and the end gasket, the structural parameters of each plate spring and the design value of the free tangent arc height, carrying out simulation calculation on the clamping end point force of each plate spring after the root-reinforced isomorphic parabolic variable-section plate spring is assembled and clamped.
The same simulation calculation method and steps as those of the first embodiment are adopted to perform simulation calculation on the clamping end point force of each leaf spring after the root reinforced isomorphic parabolic variable-section leaf spring is assembled and clamped, and the specific simulation calculation steps are as follows:
(1) Calculating the clamping rigidity K of each leaf spring of the root strengthening equal structure type few-leaf parabolic variable-cross-section leaf spring:
step A: clamping end point deformation coefficient G of each plate spring x-E Is calculated by
According to the width b =60mm of the root plate spring, the elastic modulus E =200GPa, the horizontal length delta l =30mm of the diagonal line segment, and the horizontal distance l from the root of the diagonal line segment to the end point of the plate spring 2 =525mm, horizontal distance l from the base of the parabolic segment to the end point of the leaf spring 2p =495mm, the thickness ratio γ =0.95 in the diagonal line segment, and the thickness ratio β =0.4605 in the parabolic line segment, and the root portion is reinforced by an isomorphic parabolic shapeClamping end point deformation coefficient G of each plate spring of variable cross-section plate spring x-E Perform calculations, i.e.
And B, step: calculation of clamping stiffness K of each leaf spring
According to the thickness h of the root straight section of each plate spring 2 =16mm G calculated in step a x-E ＝98.123mm 4 N, calculating the clamping rigidity K of each leaf spring of the root reinforced isomorphic few-leaf parabolic variable cross-section leaf spring, namely
(2) Initial tangent arc height H of first plate spring of root-reinforced equal-structure type few-leaf parabolic variable-cross-section plate spring gC1 The determination of (1):
root shim thickness δ according to leaf spring number n =4 c =3mm, end pad thickness δ e Design value H of high free tangent arc of each leaf spring of =6mm g10 ＝87.3mm，H g20 ＝95.1mm，H g30 ＝96.9mm，H g40 =98.74mm, thickness h of root flat section 2 =16mm, thickness h of the end flat section 1 =7mm, initial tangent arc height H of the first plate spring after the root-reinforced equal-structure type few-leaf parabolic variable-section plate spring is assembled and clamped gC1 Make a determination that
(3) Root-reinforced isomorphic few-leaf parabolic variable-section leaf springInitial tangent arc height H of each leaf spring gCi Simulation calculation of (2):
root pad thickness delta according to the number of leaf springs n =4 c =3mm, end pad thickness δ e =6mm, thickness h of root straight section of each leaf spring 2 =16mm, thickness h of the end flat section 1 =7mm, H determined in step (2) gC1 =90mm, and the initial tangent arc height H of each leaf spring except the first leaf spring after the root-reinforced isomorphic type few-leaf parabolic variable-section leaf spring is assembled and clamped gCi A determination was made i =2,3, \ 8230;, n, i.e.
H gC2 ＝H gC1 +(h 2 +δ c )-(h 1 +δ e )＝96mm，
H gC3 ＝H gC1 +(h 2 +δ c )-(h 1 +δ e )＝96mm，
H gC4 ＝H gC1 +(h 2 +δ c )-(h 1 +δ e )＝96mm。
(4) Clamping end point force F of each leaf spring of root-reinforced equal-structure type few-leaf parabolic variable-cross-section leaf spring i Simulation calculation of (2):
according to the number n =4 of the plate springs, the design value H of the free tangent arc of each plate spring is high g10 ＝87.3mm，H g20 ＝95.1mm，H g30 ＝96.9mm，H g40 =98.74mm, K =83.487N/mm calculated in step (1), H determined in step (2) and step (3) gC1 ＝90mm，H gC2 ＝96mm，H gC3 ＝96mm，H gC4 =96mm, clamping end point force F of each leaf spring after assembling and clamping the root-reinforced isomorphic few-leaf parabolic variable cross-section leaf spring i Simulation calculation was performed, i =1,2, \ 8230;, n, i.e.
According to prototype test, the simulation calculation method for the clamping end point force of the root-reinforced isomorphic few-leaf variable-cross-section leaf spring provided by the invention is correct, can obtain an accurate and reliable simulation calculation value for the clamping end point force of each leaf spring after assembly and clamping, and lays a reliable technical foundation for the simulation calculation of the pre-clamping stress of each leaf spring after the root-reinforced isomorphic parabolic variable-cross-section leaf spring is assembled and clamped. The method can improve the design level, reliability, service life and vehicle driving safety of the product; meanwhile, the design and test cost of the product is reduced, and the development speed of the product is accelerated.

Claims (1)

1. The root-reinforced isomorphic few-leaf variable-cross-section plate spring clamping end point force simulation calculation method is characterized in that a half action length of a plate spring is formed by four sections, namely a root straight section, an oblique line section, a parabolic section and an end straight section, the root straight section is used for assembling and clamping a riding bolt, the oblique line section plays a reinforcing role in the root of the plate spring, the structures of all the leaf springs are the same, namely the root-reinforced isomorphic few-leaf parabolic variable-cross-section plate spring; the simulation calculation of the clamping end point force of each leaf spring after assembly and clamping is the premise of the simulation calculation of the pre-clamping stress of each leaf spring; according to the number of leaf springs, the elastic modulus, the thicknesses of a root gasket and an end gasket, the structural parameters of each leaf spring and the design value of the free tangent arc height, the simulation calculation is carried out on the clamping end point force of each leaf spring after the root strengthening isomorphic few-leaf parabolic variable-section leaf spring is assembled and clamped, and the simulation calculation method is characterized by adopting the following specific simulation calculation steps:
(1) Calculating the clamping rigidity K of each leaf spring of the root strengthening equal structure type few-leaf parabolic variable-cross-section leaf spring:
step A: clamping end point deformation coefficient G of each plate spring x-E Is calculated by
According to the width b, the elastic modulus E, the horizontal length delta l of the diagonal line segment, and the horizontal distance l from the root of the diagonal line segment to the end point of the plate spring 2 Horizontal distance l from the root of the parabolic segment to the end of the leaf spring 2p Thickness h of root straight section of each leaf spring 2 The thickness of the root of the parabolic segment is h 2p Thickness h of the end straight section 1 The thickness ratio of the diagonal line segment of each leaf spring is gamma = h 2p /h 2 Thickness ratio of parabolic segment β = h 1 /h 2p The clamping end point deformation coefficient G of each leaf spring of the root reinforced isomorphic parabolic variable cross-section leaf spring x-E Perform calculations, i.e.
And B, step: calculation of clamping stiffness K of leaf springs
According to the thickness h of the root straight section of each plate spring 2 G calculated in step A x-E Calculating the clamping rigidity K of each leaf spring of the root strengthening isomorphic few-leaf parabolic variable cross-section leaf spring, namely
(2) Initial tangent arc height H of first plate spring of root-reinforced equal-structure type few-leaf parabolic variable-cross-section plate spring gC1 Determination of (1):
root spacer thickness delta according to the number n of leaf springs c End pad thickness delta e Thickness h of root straight section of each leaf spring 2 Thickness h of the end straight section 1 Design value H of free tangent arc height of each leaf spring gi0 I =1,2, \ 8230;, n, head of root reinforced isomorphic few-leaf parabola-shaped variable cross-section plate spring after assembling and clampingInitial tangent arc height H of leaf spring gC1 Make a determination that
(3) Root-reinforced equal-structure type few-leaf parabola-shaped variable-section leaf spring and initial tangent arc height H of other leaf springs gCi Determination of (1):
root spacer thickness delta according to the number n of leaf springs c End pad thickness delta e Thickness h of root straight section of each leaf spring 2 Thickness h of the end straight section 1 H obtained by simulation calculation in step (2) gC1 After the root strengthening isomorphic few-leaf parabolic variable cross-section leaf spring is assembled and clamped, the initial tangent arc height H of each leaf spring except the first leaf spring is increased gCi A determination was made i =2,3, \ 8230;, n, i.e.
H gCi ＝H gC1 +(h 2 +δ c )-(h 1 +δ e ),i＝2,3,…,n；
(4) Clamping end point force F of each leaf spring of root-reinforced equal-structure type few-leaf parabolic variable-cross-section leaf spring i Simulation calculation of (2):
according to the number n of the plate springs, the design value H of the free tangent line arc height of each plate spring gi0 K calculated in step (1), H determined in step (2) and step (3) gCi Clamping end point force F of each leaf spring after assembling and clamping root strengthening equal structure type few-leaf parabolic variable cross-section leaf spring i Simulation calculation was performed, i =1,2, \ 8230;, n, i.e.
CN201810051100.5A 2018-01-19 2018-01-19 The structure formulas such as root reinforcement lack the simulation calculation method that piece changeable section plate spring clamps endpoint power Withdrawn CN107956830A (en)

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Application publication date: 20180424