CN103246789A - Computing method of deformation of annular sandwich valve plates of vibration absorber under non-uniform pressure - Google Patents

Computing method of deformation of annular sandwich valve plates of vibration absorber under non-uniform pressure Download PDF

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CN103246789A
CN103246789A CN2013102122738A CN201310212273A CN103246789A CN 103246789 A CN103246789 A CN 103246789A CN 2013102122738 A CN2013102122738 A CN 2013102122738A CN 201310212273 A CN201310212273 A CN 201310212273A CN 103246789 A CN103246789 A CN 103246789A
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deformation
valve plate
radius
annular
uniform pressure
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周长城
赵雷雷
孔艳玲
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Shandong University of Technology
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Shandong University of Technology
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Abstract

The invention relates to a computing method of deformation of annular sandwich valve plates of a vibration absorber under non-uniform pressure, and belongs to the technical field of vibration absorbers. The method is characterized by comprising the steps that equivalent thicknesses of the annular sandwich valve plates, and deformation coefficients of the annular sandwich valve plates in any radius position under the non-uniform pressure are computed, and the deformation of the annular sandwich valve plates of the vibration absorber in any radius position under the non-uniform pressure is computed according to the equivalent thicknesses, the deformation coefficients and the maximum non-uniform pressure. A computation instance and an ANSYS simulation verification result prove that the method can accurately compute the deformation of the annular sandwich valve plates of the vibration absorber in any radius position under the non-uniform pressure; an accurate vibration absorber parameter design and characteristic simulation model can be established, and an accurate and reliable vibration absorber throttling valve parameter design value and a vibration absorber characteristic simulation value can be obtained by using the method, so that the design and testing cost of the vibration absorber can be lowered; and a design level, the quality, the performances and the vehicle riding comfort can be raised and improved.

Description

Method for calculating deformation of annular sandwich valve plate of shock absorber under non-uniform pressure
Technical Field
The invention relates to a shock absorber, in particular to a method for calculating deformation of a shock absorber annular superposed valve plate under non-uniform pressure.
Background
The annular superposed valve plates of the rebound valve and the compression valve are the most critical precise elements in the shock absorber, and the deformation of the valve plates at the valve port radius position has important influence on the damping characteristic of the shock absorber, so whether the precise calculation of the deformation of the annular superposed valve plates can be realized or not is determined, whether the precise parameter design of the shock absorber valve and the shock absorber characteristic simulation mathematical model can be established or not is determined, the accurate design value and the characteristic simulation value of the shock absorber throttle valve are obtained, and whether the modern CAD design and the computer characteristic simulation of the automobile shock absorber can be really realized or not is determined. Due to the existence of the normally open orifice and the throttle gap of the shock absorber, the pressure actually born by the valve plate of the shock absorber is not uniform but actually non-uniform, and although a large amount of research is carried out by many scholars at home and abroad, no accurate analytical calculation formula and calculation method are provided for valve plate deformation calculation under non-uniform load. At present, the valve plate under given pressure is subjected to numerical simulation by establishing a solid model by utilizing finite element simulation software at home and abroad, and although an approximate numerical solution can be obtained, the requirements of precise design and characteristic simulation of the parameters of the shock absorber valve cannot be met. The method has the advantages that the research of China on the aspect of deformation calculation of the annular sandwich valve plate of the shock absorber makes an important breakthrough, but only the deformation accurate analytic calculation of the annular sandwich valve plate under the uniformly distributed pressure can be carried out, but the problem of the deformation accurate analytic calculation of the annular sandwich valve plate of the shock absorber under the non-uniformly distributed pressure must be solved for establishing an accurate shock absorber design and a characteristic simulation mathematical model because the pressure borne by the annular sandwich valve plate of the shock absorber is non-uniformly distributed. With the rapid development of the automobile industry and the continuous improvement of the vehicle running speed, higher requirements are put forward on the design of the shock absorber, and to realize the modern CAD design and the characteristic calculation simulation of the shock absorber, an accurate deformation calculation method of the annular sandwich valve plate of the shock absorber under the non-uniform pressure needs to be established, so that the requirements of the design of the shock absorber and the accurate modeling of the characteristic simulation are met, the design value of shock absorber parameters is more accurate, the characteristic simulation value is more reliable, the design level and the product performance of the shock absorber are improved, and the requirements of the running smoothness of the vehicle on the continuous improvement of the characteristics of the shock absorber are.
Disclosure of Invention
Aiming at the defects in the prior art, the invention aims to provide an accurate and reliable method for calculating the deformation of the annular sandwich valve plate of the shock absorber under the nonuniform pressure.
In order to solve the technical problem, the invention provides a method for calculating the deformation of an annular sandwich valve plate of a shock absorber under non-uniform pressure, which comprises the following implementation steps of:
(1) determining equivalent thickness of annular sandwich valve plate of shock absorberh e:
For same material characteristics and inner circle radius
Figure 522090DEST_PATH_IMAGE001
And the radius of the outer circle
Figure 697856DEST_PATH_IMAGE002
Equal annular sandwich valve plates according to the thickness and the number of the sandwich valve plates (h 1，n 1；h 2，n 2；…；h n ，n n) Determining the equivalent thickness of the annular sandwich valve plate of the damperh eComprises the following steps:
Figure 436136DEST_PATH_IMAGE003
；
(2) under uniform pressurep 0The lower superposed valve plate is at any radiusrCoefficient of deformation of positionG r1The calculation of (2):
according to the inner circle radius of the annular superposed valve plate of the shock absorberr aOuter radius of circler bModulus of elasticityEAnd poisson's ratioμCalculating the random radius of the annular valve plate under the uniform pressurer（r a ≤r≤ r b ) Coefficient of deformation of positionG r1Namely:
Figure 535810DEST_PATH_IMAGE004
in the formula,
Figure 925204DEST_PATH_IMAGE005
,
Figure 757024DEST_PATH_IMAGE006
, ,
Figure 72916DEST_PATH_IMAGE008
；
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，
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，
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，
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；，
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，
Figure 324579DEST_PATH_IMAGE015
，
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；
(3) reverse linear non-uniform pressure
Figure 788238DEST_PATH_IMAGE017
Lower valve plate at any radiusrCoefficient of deformation of positionG r2The calculation of (2):
according to the inner circle radius of the annular valve plater aOuter radius of circler bModulus of elasticityEPoissonRatio ofμRadius of initial action position of non-uniform pressurer kAnd calculating the deformation coefficient of the annular superposed valve plate under the reverse linear non-uniform pressure, namely:
Figure 398342DEST_PATH_IMAGE018
；
in the formula,
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Figure 738822DEST_PATH_IMAGE021
，
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，
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Figure 265247DEST_PATH_IMAGE024
Figure 5801DEST_PATH_IMAGE025
Figure 957707DEST_PATH_IMAGE026
，
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Figure 526857DEST_PATH_IMAGE029
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Figure 738210DEST_PATH_IMAGE033
，
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Figure 663975DEST_PATH_IMAGE035
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Figure 825146DEST_PATH_IMAGE037
，
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，
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Figure 605648DEST_PATH_IMAGE040
Figure 482337DEST_PATH_IMAGE041
Figure 304800DEST_PATH_IMAGE042
，
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Figure 73801DEST_PATH_IMAGE049
Figure 316695DEST_PATH_IMAGE050
Figure 558320DEST_PATH_IMAGE051
Figure 895761DEST_PATH_IMAGE052
，
wherein,
Figure 352281DEST_PATH_IMAGE053
；
(4) annular sandwich valve plate of shock absorber in any radiusrCoefficient of deformation of positionG r And (3) calculating:
according to step (2)G r1And in step (3)G r2Determining the radius of the annular valve plate at any radius through superposition operationr（r a ≤r≤ r b ) Total superimposed deformation coefficient of positionG r I.e. by
；
(5) Annular sandwich valve plate of shock absorber in any radiusrDeformation of positionf r And (3) calculating:
according to the maximum non-uniform pressure borne by the annular superposed valve platep 0Equivalent thickness in step (1)h eAnd the deformation coefficient in step (3)G r For the annular superposed valve plates of the shock absorber under non-uniform pressure with the radiusrAmount of deformation of positionf r The calculation is carried out, namely:
Figure 478686DEST_PATH_IMAGE056
。
compared with the prior art, the invention has the advantages that:
because the actual shock absorber mostly adopts the annular superposed throttle valve plates and the pressure is non-uniformly distributed, although a deformation calculation method under uniformly distributed pressure is given in the prior art, the deformation of the valve port radius is greatly different from the actual valve plate deformation, so that the established shock absorber throttle valve parameter design and characteristic simulation model is not accurate enough, and the parameter design value and the characteristic simulation value are not accurate enoughIt is not reliable enough. For the deformation of the annular superposed valve plate of the shock absorber under the non-uniform pressure, no accurate and reliable calculation method is provided at home and abroad previously, most of the methods utilize finite element simulation software to carry out numerical simulation on the valve plate under the given pressure by establishing a solid model to obtain an approximate numerical solution, and the requirements of parameter design and characteristic simulation accurate modeling of the throttle valve of the shock absorber cannot be met. According to the method for calculating the deformation of the annular sandwich valve plate of the shock absorber under the non-uniform pressure, firstly, the equivalent thickness of the annular sandwich valve plate is calculated according to the thickness and the number of the annular sandwich valve plate; then, regarding a mechanical model of the annular superposed valve plate of the shock absorber under the nonuniform pressure as superposition of the uniform pressure and the reverse linear nonuniform pressure, and utilizing the annular valve plate under the uniform pressure to be at any radiusrCoefficient of deformation of positionG r1And the annular valve plate under the reverse linear non-uniform pressure has any radiusrCoefficient of deformation of positionG r2And obtaining the superposition deformation coefficient of the annular valve plate under the non-uniform pressure through superposition calculationG r =G r2+G r1(ii) a Then, according to the equivalent thickness and the superposition deformation coefficient of the superposition valve plateG r And calculating the deformation of the annular superposed valve plate of the shock absorber under the non-uniform pressure. Compared with ANSYS simulation verification results, the calculation method for the deformation of the annular sandwich valve plate of the shock absorber under the nonuniform pressure is accurate and reliable, and the valve plate can be subjected to any radiusrThe deformation at the position is accurately calculated, so that an accurate calculation method for deformation of the annular superposed valve plate under non-uniform pressure is provided for establishing an accurate parameter design and characteristic simulation model of the damper throttle valve, the parameter design and characteristic simulation values of the damper throttle valve are ensured to be accurate and reliable, the design and test cost of the damper is reduced, and the design level, quality and performance of the damper are improved.
For a better understanding of the invention, reference is made to the following further description taken in conjunction with the accompanying drawings.
FIG. 1 is a flow chart of the calculation of the deformation of the annular sandwich valve plate of the shock absorber under the non-uniform pressure;
FIG. 2 is a mechanical model of non-uniform pressure of an annular sandwich valve plate of the shock absorber;
FIG. 3 shows the deformation coefficient of the annular sandwich valve plate under uniform pressure in the first embodimentG r1；
FIG. 4 shows the deformation coefficient of the annular sandwich valve plate under the reverse linear non-uniform pressure in the first embodimentG r2；
FIG. 5 shows the deformation coefficient of the annular sandwich valve plate of the damper according to the first embodiment under the non-uniform pressureG r ；
FIG. 6 is a deformation curve of the annular sandwich valve plate of the shock absorber according to the first embodiment under the nonuniform pressure;
FIG. 7 is a simulated cloud of deformation of the annular sandwich valve plate of the shock absorber under non-uniform pressure according to the first embodiment;
FIG. 8 shows the deformation coefficient of the annular sandwich valve plate according to the second embodiment under the reverse linear non-uniform pressureG r2；
FIG. 9 shows the deformation coefficient of the annular sandwich valve plate of the damper according to the second embodiment under the non-uniform pressureG r ；
FIG. 10 is a deformation curve of the annular sandwich valve plate of the damper according to the second embodiment under non-uniform pressure;
FIG. 11 is a simulated cloud of deformation of the annular sandwich valve plate of the damper according to the second embodiment under non-uniform pressure;
FIG. 12 shows the deformation coefficient of the annular sandwich valve sheet of the third embodiment under uniform pressureG r1；
FIG. 13 is a diagram showing the deformation coefficient of the annular sandwich valve plate according to the third embodiment under the reverse linear non-uniform pressureG r2；
FIG. 14 is a deformation coefficient of the annular sandwich valve plate of the damper according to the third embodiment under the non-uniform pressureG r ；
FIG. 15 is a deformation curve of the annular sandwich valve plate of the shock absorber in the third embodiment under the non-uniform pressure;
fig. 16 is a simulated cloud picture of deformation of the annular sandwich valve plate of the shock absorber in the third embodiment under the nonuniform pressure.
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:inner circle radius of isomorphic annular superposed valve plate of certain shock absorberr a5.0mm, outer circle radiusr bRadius of valve port of 8.5mmr k=8.0 mm; modulus of elasticityE=200GPa, poisson's ratioμ0.3; the thickness and the number of the superposed valve plates are respectivelyh 1=0.1mm，n 1=3；h 2=0.15mm，n 2=2；h 3=0.2mm，n 3= 1; non-uniform maximum pressurep 0=3.0MPa。
The calculation method for the deformation of the annular sandwich valve plate of the shock absorber provided by the embodiment of the invention has the following specific steps, wherein the calculation process is shown in figure 1, the mechanical model of the annular sandwich valve plate of the shock absorber is shown in figure 2, and the specific steps are as follows:
(1) determining equivalent thickness of annular sandwich valve sheeth e:
According to the thickness and number of the equivalent structure annular superposed valve plates of a certain damperh 1=0.1mm，n 1=3；h 2=0.15mm，n 2=2； h 3=0.2mm，n 3=1, equivalent thickness of equal structure annular superposed valve sheeth eComprises the following steps:
Figure 370549DEST_PATH_IMAGE057
=0.260855mm；
(2) annular superposed valve plates with uniform pressure at any radiusrCoefficient of positional distortionG r1The calculation of (2):
based on annular sandwich plates of the damperE=2.0
Figure 868527DEST_PATH_IMAGE058
And poisson's ratioμ=0.3, inner circle radiusr a=5.0mm, outer circle radiusr b=8.5mm, calculating the radius of the valve plate under uniform pressurer（r a ≤r≤ r b ) Coefficient of deformation of positionG r1Namely:
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,
in the formula,
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，
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，
,
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=
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；
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，
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，
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，
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，
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，
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，，
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；
calculating to obtain the deformation coefficientG r1Radius followingr（r a ≤r≤ r b ) As shown in fig. 3;
(3) valve plate under reverse linear non-uniform pressure with any radiusrCoefficient of positional distortionG r2The calculation of (2):
according to the inner circle radius of the annular valve plater a=5.0mm, outer circle radiusr b=8.5mm, modulus of elasticityE=2.0
Figure 712614DEST_PATH_IMAGE058
Poisson ratioμ=0.3 radius of starting position of non-uniform pressurer k=8.0mm, calculating valve plate under reverse linear non-uniform pressureAt any radiusr（r a ≤r≤ r b ) Coefficient of deformation of positionG r2Namely:
Figure 707246DEST_PATH_IMAGE063
；
in the formula,
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，，
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，
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and
，
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，
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，
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；
calculating to obtain the random radius of the valve plate under the reverse linear non-uniform pressurerCoefficient of positional distortionG r2Radius followingr （r a ≤r≤ r b ) As shown in fig. 4;
(4) annular sandwich valve plate of shock absorber in any radiusrSuperimposed deformation coefficient of positionG r And (3) calculating:
according to step (2)G r1And in step (3)G r2Obtaining the deformation coefficient of the annular superposed valve plate of the shock absorber through superposition calculationG r Radius followingr（r a ≤r≤ r b ) As shown in fig. 5;
wherein, at the valve port radiusr kCoefficient of deformation of positionG rk=m6N, at the radius of the outer circler bCoefficient of deformation of positionG rb=
Figure 692882DEST_PATH_IMAGE073
m6/N；
(5) Valve plate in any radiusrSuperimposed deformation of positionf r And (3) calculating:
according to the equivalent thickness of the superposed valve plates in the step (1)h e=0.260855mm, in the intervalr a ≤r≤r bDistributed pressure ofp 0At interval of =3.0MPar k <r≤r b Distributed pressure ofp=
Figure 866374DEST_PATH_IMAGE074
MPa, and coefficient of deformation in step (4)G r Under the non-uniform pressure of the annular superposed valve plate of the shock absorber, the annular superposed valve plate has any radiusrDeformation of positionPerform calculations, i.e.
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;
Calculating the obtained deformation curve of the annular sandwich valve plate of the shock absorber, as shown in fig. 6;
wherein, the deformation of the superposed valve plate at the radius position of the valve port is
Figure 816510DEST_PATH_IMAGE077
=0.127226mm, maximum deflection at outer radius position= 0.154026mm。
According to the inner circle radius of the annular superposed valve plate of the shock absorberr a5.0mm, outer circle radiusr b8.5mm, elastic modelE200GPa, Poisson's ratioμ0.3, the thickness and number of the superposed valve plates are respectivelyh 1=0.1mm，n 1=3；h 2=0.15mm，n 2=2；h 3=0.2mm，n 3= 1; establishing a simulation model of the sandwich valve plate by using ANSYS, wherein the grid division unit is 0.1mm and the interval isr a ≤r≤ r b Distributed pressure ofp 0At interval of =3.0MPar k <r≤ r b Distributed pressure ofp=
Figure 455618DEST_PATH_IMAGE074
And (MPa), simulating a cloud chart of the deformation of the annular sandwich valve plate of the shock absorber obtained by simulation, as shown in figure 7.
As can be seen from FIG. 7, the maximum simulated value of the deformation of the annular sandwich valve plate of the shock absorber is 0.154293mm, the deviation from 0.154023mm obtained by the calculation method is 0.00027mm, and the relative deviation is only 0.17%, which indicates that the calculation method of the deformation of the annular sandwich valve plate of the shock absorber under the nonuniform pressure established by the invention is correct.
Example two:certain damper ringInner circle radius, outer circle radius, thickness, number of pieces, material characteristic parameters and non-uniform maximum pressure of the superposed valve platep 0Embodiment one is identical except for the radius of the valve port positionr k=7.0mm。
The calculation steps of the first embodiment are adopted, namely:
(1) determining equivalent thickness of equal-structure annular superposed valve plateh e：
Since the thickness and the number of the sandwich valve plates are the same as those in the first embodiment, the equivalent thickness of the annular sandwich valve plate of the damper is calculatedh e=0.260855mm；
(2) Annular superposed valve plates with uniform pressure at any radiusrCoefficient of positional distortionG r1And (3) calculating:
the inner circle radius, the outer circle radius and the material characteristic parameters of the annular sandwich valve plate of the shock absorber are the same as those of the first embodiment, so that the annular sandwich valve plate can be uniformly distributed under pressure at any radiusrCoefficient of positional distortionG r1As in the first embodiment, as shown in fig. 3:
(3) reverse linear non-uniform pressureLower valve plate at any radiusrCoefficient of positional distortionG r2The calculation of (2):
according to the inner circle radius of the annular valve plater a=5.0mm, outer circle radiusr b=8.5mm, modulus of elasticityE=2.0
Figure 990953DEST_PATH_IMAGE058
Poisson ratioμ=0.3, valve port position radiusr k=7.0mm, calculating the random radius of the valve plate under the reverse linear non-uniform pressurer （r k <r≤ r b ) Coefficient of deformation of positionG r2Namely:
Figure 302986DEST_PATH_IMAGE063
；
in the formula,
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，，
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，and
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，
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，
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，
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；
calculating to obtain the random radius of the valve plate under the reverse linear non-uniform pressurerCoefficient of positional distortionG r2Radius followingr（
Figure 450195DEST_PATH_IMAGE087
) As shown in fig. 8;
(4) annular sandwich valve plate of shock absorber in any radiusrSuperimposed deformation coefficient of positionG r And (3) calculating:
according to step (2)G r1And in step (3)G r2Obtaining the deformation coefficient of the annular superposed valve plate of the shock absorber through superposition calculationG r Radius followingr（r a ≤r≤ r b ) As shown in fig. 9;
wherein, at the valve port radius
Figure 164074DEST_PATH_IMAGE088
Coefficient of deformation of positionG rk=
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m6N, at the radius of the outer circle
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Coefficient of deformation of positionG rb=
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m6/N；
(5) Valve plate in any radiusrSuperimposed deformation of positionf r And (3) calculating:
according to the equivalent thickness of the superposed valve plates in the step (1)h e=0.260855mm, in the intervalr a ≤r≤r bDistributed pressure ofp 0At interval of =3.0MPar k <r≤ r b Distributed pressure ofp=
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MPa, and coefficient of deformation in step (4)G r Under the non-uniform pressure of the annular superposed valve plate of the shock absorber, the annular superposed valve plate has any radiusrDeformation of position
Figure 196883DEST_PATH_IMAGE075
Perform calculations, i.e.
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;
Calculating the obtained deformation curve of the annular sandwich valve plate of the shock absorber, as shown in fig. 10;
wherein, the deformation of the annular superposed valve plate of the shock absorber at the radius position of the valve port is
Figure 861399DEST_PATH_IMAGE077
=0.08353mm, maximum deflection at outer radius position
Figure 933392DEST_PATH_IMAGE078
= 0.100478mm。
According to the inner circle radius of the annular superposed valve plate of the shock absorberr a5.0mm, outer circle radiusr bRadius of valve port of 8.5mmr kElastic model of =7.0mmE200GPa, Poisson's ratioμ0.3, the thickness and number of the superposed valve plates are respectivelyh 1=0.1mm，n 1=3；h 2=0.15mm，n 2=2；h 3=0.2mm，n 3= 1; establishing a simulation model of the sandwich valve plate by using ANSYS, wherein the grid division unit is 0.1mm and the interval isr a ≤r≤ r b Distributed pressure ofp 0At interval of =3.0MPar k <r≤ r b Distributed pressure ofp=
Figure 687721DEST_PATH_IMAGE074
And (MPa), simulating a cloud chart of the deformation of the annular sandwich valve plate of the shock absorber obtained by simulation, as shown in figure 11.
As can be seen from FIG. 11, the maximum simulated value of deformation of the annular sandwich valve plate of the shock absorber is 0.100618mm, the deviation from 0.100478mm obtained by the calculation method is 0.000144mm, and the relative deviation is only 0.14%, which indicates that the calculation method for deformation of the annular sandwich valve plate of the shock absorber under the nonuniform pressure established by the invention is correct.
Example three:the material characteristic parameters of the equivalent structure annular superposed valve plate of a certain shock absorber are the same as those of the first embodiment, and the radius of the inner circle isr a=5.0mm, outer circle radiusr b=8.75mm, valve port radiusr k=8.0 mm; the thickness and the number of the superposed valve plates are respectivelyh 1=0.15mm，n 1=1；h 2=0.2mm，n 2= 3; non-uniform maximum pressurep 0=3.0MPa。
The calculation steps of the first embodiment are adopted, namely:
(1) determining equivalent thickness of equal-structure annular superposed valve plateh e:
According to the thickness and the number of the superposed valve plates,h 1=0.15mm，n 1=1；h 2=0.2mm，n 2=3, determining equivalent thickness of annular sandwich valve plate of shock absorberh e=0.3013mm；
(2) Annular superposed valve plates with uniform pressure at any radiusrCoefficient of positional distortionG r1The calculation of (2):
based on annular sandwich plates of the damperE=2.0And poisson's ratioμ=0.3, inner circle radius of valve plater a=5.0mm, outer circle radiusr b=8.75mm, calculating the radius of the valve plate under uniform pressurer（r a ≤r≤ r b ) Coefficient of deformation of positionG r1Namely:
Figure 10435DEST_PATH_IMAGE004
；
in the formula,，
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=，
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,
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=
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；
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，
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，
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，
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；
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，
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，
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，
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；
calculating to obtain the deformation coefficientG r1Radius followingr（r a ≤r≤ r b ) As shown in fig. 12;
(3) valve plate under reverse linear non-uniform pressure with any radiusrCoefficient of positional distortionG r2The calculation of (2):
according to the inner circle radius of the annular valve plater a=5.0mm, outer circle radiusr b=8.75mm, modulus of elasticityE=2.0
Figure 376585DEST_PATH_IMAGE058
Poisson ratioμ=0.3 radius of starting position of non-uniform pressurer k=8.0mm, calculating the radius of the valve plate under the reverse linear non-uniform pressurer（r a ≤r≤ r b ) Coefficient of deformation of positionG r2Namely:
Figure 662204DEST_PATH_IMAGE063
；
in the formula,
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，
Figure 497622DEST_PATH_IMAGE097
，
Figure 546698DEST_PATH_IMAGE098
，
Figure 936091DEST_PATH_IMAGE099
；
，，
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，；
calculating to obtain the random radius of the valve plate under the reverse linear non-uniform pressurerCoefficient of positional distortionG r2Radius followingr（r a ≤r≤ r b ) As shown in fig. 13;
(4) annular sandwich valve plate of shock absorber in any radiusrSuperimposed deformation coefficient of positionG r And (3) calculating:
according to step (2)G r1And in step (3)G r2Obtaining the deformation coefficient of the annular superposed valve plate of the shock absorber through superposition calculationG r Radius followingr（r a ≤r≤ r b ) As shown in fig. 14;
wherein, at the valve port radiusCoefficient of deformation of positionG rk=m6N, at the radius of the outer circle
Figure 248888DEST_PATH_IMAGE002
Coefficient of deformation of positionG rb=
Figure 284978DEST_PATH_IMAGE105
m6/N；
(5) Annular sandwich valve plate of shock absorber in any radiusrSuperimposed deformation of positionf r And (3) calculating:
according to the equivalent thickness of the superposed valve plates in the step (1)h e=0.260855mm, maximum non-uniform pressurep 0=3.0MPa and deformation coefficient in step (4)G r Under the non-uniform pressure of the annular superposed valve plate of the shock absorber, the annular superposed valve plate has any radiusrDeformation of position
Figure 724180DEST_PATH_IMAGE075
The calculation is carried out, namely:
Figure 111299DEST_PATH_IMAGE076
;
calculating the obtained deformation curve of the annular sandwich valve plate of the shock absorber, as shown in fig. 15;
wherein the deformation amount at the radial position of the valve port is
Figure 277838DEST_PATH_IMAGE077
=0.101585mm, maximum deflection at outer radius position
Figure 434013DEST_PATH_IMAGE078
=0.1209876mm。
According to the inner circle radius of the annular superposed valve plate of the shock absorberr a5.0mm, outer circle radiusr b8.75mm, valve port radiusr k8.0mm, the thickness and number of the superposed valve plates are respectivelyh 1=0.15mm，n 1=1；h 2=0.2mm，n 2=3, pressure is uniformly distributedpElastic model of =3.0MPaE200GPa, Poisson's ratioμEstablishing a simulation model of the superposed valve plate by using ANSYS (American society for research and maintenance) 0.3, and drawing a gridThe unit is 0.1mm in the intervalr a ≤r≤r bDistributed pressure ofp 0At interval of =3.0MPar k <r≤r b Distributed pressure ofp=
Figure 44117DEST_PATH_IMAGE074
And (MPa), simulating a cloud chart of the deformation of the annular sandwich valve plate of the shock absorber obtained by simulation, as shown in figure 16.
As can be seen from FIG. 16, the maximum simulated value of the deformation of the annular sandwich valve plate of the shock absorber is 0.120777mm, the deviation from 0.1209876mm obtained by the calculation method is 0.000213mm, and the relative deviation is only 0.0213%, which shows that the calculation method of the deformation of the annular sandwich valve plate of the shock absorber under the nonuniform pressure, which is established by the invention, is accurate, and a reliable calculation method of the valve plate deformation under the nonuniform pressure is provided for establishing an accurate parameter design and characteristic simulation mathematical model of the throttle valve of the shock absorber.

Claims (4)

1. The method for calculating the deformation of the annular sandwich valve plate of the shock absorber under the nonuniform pressure comprises the following specific calculation steps:
(1) determining equivalent thickness of annular sandwich valve plate of shock absorberh e:
For same material characteristics and inner circle radius
Figure 177123DEST_PATH_IMAGE001
And the outer circleRadius of
Figure 102354DEST_PATH_IMAGE002
Equal annular sandwich valve plates according to the thickness and the number of the sandwich valve plates (h 1，n 1；h 2，n 2；…；h n ，n n) Determining the equivalent thickness of the annular sandwich valve plate of the damperh eComprises the following steps:
Figure 388979DEST_PATH_IMAGE003
；
(2) under uniform pressurep 0The lower superposed valve plate is at any radiusrCoefficient of deformation of positionG r1The calculation of (2):
according to the inner circle radius of the annular superposed valve plate of the shock absorberr aOuter radius of circler bModulus of elasticityEAnd poisson's ratioμCalculating the random radius of the annular valve plate under the uniform pressurer（r a ≤r≤ r b ) Coefficient of deformation of positionG r1Namely:
Figure 325842DEST_PATH_IMAGE004
in the formula,
Figure 423242DEST_PATH_IMAGE005
,
Figure 898086DEST_PATH_IMAGE006
,
Figure 739134DEST_PATH_IMAGE007
,
Figure 983034DEST_PATH_IMAGE008
；
Figure 172706DEST_PATH_IMAGE009
，
Figure 885579DEST_PATH_IMAGE010
，
Figure 514006DEST_PATH_IMAGE011
，
Figure 628724DEST_PATH_IMAGE012
；
Figure 989298DEST_PATH_IMAGE013
，
Figure 438734DEST_PATH_IMAGE014
，，
Figure 574497DEST_PATH_IMAGE016
；
(3) reverse linear non-uniform pressure
Figure 371552DEST_PATH_IMAGE017
Lower valve plate at any radiusrCoefficient of deformation of positionG r2The calculation of (2):
according to the inner circle radius of the annular valve plater aOuter radius of circler bModulus of elasticityEPoisson ratioμRadius of initial action position of non-uniform pressurer kAnd calculating the deformation coefficient of the annular superposed valve plate under the reverse linear non-uniform pressure, namely:
Figure 793437DEST_PATH_IMAGE018
；
in the formula,
Figure 966929DEST_PATH_IMAGE019
Figure 39928DEST_PATH_IMAGE020
Figure 820933DEST_PATH_IMAGE021
，
Figure 917065DEST_PATH_IMAGE022
，
Figure 690986DEST_PATH_IMAGE023
Figure 357504DEST_PATH_IMAGE024
Figure 496362DEST_PATH_IMAGE025
Figure 142107DEST_PATH_IMAGE026
，
Figure 204872DEST_PATH_IMAGE027
Figure 562221DEST_PATH_IMAGE029
Figure 561718DEST_PATH_IMAGE031
Figure 401498DEST_PATH_IMAGE032
Figure 695207DEST_PATH_IMAGE033
，
Figure 49965DEST_PATH_IMAGE034
Figure 907063DEST_PATH_IMAGE035
Figure 414398DEST_PATH_IMAGE036
Figure 65960DEST_PATH_IMAGE037
，
Figure 173593DEST_PATH_IMAGE039
，
Figure 381851DEST_PATH_IMAGE040
Figure 930644DEST_PATH_IMAGE041
Figure 81003DEST_PATH_IMAGE042
，
Figure 359986DEST_PATH_IMAGE044
Figure 825602DEST_PATH_IMAGE045
Figure 897595DEST_PATH_IMAGE046
Figure 451253DEST_PATH_IMAGE048
Figure 974638DEST_PATH_IMAGE049
Figure 217532DEST_PATH_IMAGE050
Figure 255895DEST_PATH_IMAGE051
Figure 796597DEST_PATH_IMAGE052
Figure 253118DEST_PATH_IMAGE053
，
wherein,
Figure 650601DEST_PATH_IMAGE054
；
(4) annular sandwich valve plate of shock absorber in any radiusrCoefficient of deformation of positionG r And (3) calculating:
according to step (2)G r1And in step (3)G r2Determining the radius of the annular valve plate at any radius through superposition operationr（r a ≤r≤ r b ) Total superimposed deformation coefficient of positionG r I.e. by
Figure 379523DEST_PATH_IMAGE055
；
(5) Annular sandwich valve plate of shock absorber in any radiusrDeformation of positionf r And (3) calculating:
according to the maximum non-uniform pressure borne by the annular superposed valve platep 0Equivalent thickness in step (1)h eAnd the deformation coefficient in step (3)G r For the annular superposed valve plates of the shock absorber under non-uniform pressure with the radiusrAmount of deformation of positionf r Perform calculations, i.e.
Figure 271386DEST_PATH_IMAGE057
。
2. Step (3) of the method according to claim 1, characterized in that: determining reverse linear non-uniform pressure to be applied according to a non-uniform pressure mechanical model borne by an annular superposed valve plate of an actual shock absorber, and determining the reverse linear non-uniform pressure according to the inner circle radius of the annular valve plate of the annular superposed valve plater aOuter radius of circler bModulus of elasticityEPoisson ratioμRadius of initial action position of non-uniform pressurer kCalculating the deformation coefficient under the reverse linear non-uniform pressureG r2Namely:
Figure DEST_PATH_IMAGE059
。
3. step (4) of the method according to claim 1, characterized in that: according to the deformation coefficient of the annular valve plate under uniform pressureG r1And coefficient of deformation under reverse linear non-uniform pressureG r2The superposition operation of the two-way valve is carried out to obtain the random radius of the annular valve plate of the shock absorber under the actual non-uniform pressurer（r a ≤r≤ r b ) Coefficient of deformation ofG r 。
4. Step (5) of the method according to claim 1, characterized in that: according to the equivalent thickness of the annular superposed valve plateh eMaximum non-uniform pressure to be appliedp 0And at any radiusr（r a ≤r≤ r b ) Coefficient of deformation ofG r By using
Figure 831681DEST_PATH_IMAGE057
Any radius of annular superposed valve plate of damper under non-uniform pressurerDeformation of (b)
Figure DEST_PATH_IMAGE061
And (6) performing calculation.
CN2013102122738A 2013-05-31 2013-05-31 Computing method of deformation of annular sandwich valve plates of vibration absorber under non-uniform pressure Pending CN103246789A (en)

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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103678833A (en) * 2014-01-02 2014-03-26 山东理工大学 Method for calculating radial stress of non-equal structure superposed valve plates of vehicle shock absorber
CN103678945A (en) * 2014-01-02 2014-03-26 山东理工大学 Method for calculating deformation of non-equal structure superposed valve plates of vehicle shock absorber
CN105260533A (en) * 2015-10-08 2016-01-20 山东理工大学 Method for calculating deformation of unequal thickness annular valve block of hydro-pneumatic spring

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US20020022948A1 (en) * 2000-07-19 2002-02-21 Murata Manufacturing Co., Ltd. Method of adjusting characteristics of electronic part
CN103106312A (en) * 2013-03-08 2013-05-15 山东理工大学 Calculation method for vibration absorber isodesmic annular superposed valve plate deformation
CN103116683A (en) * 2013-03-15 2013-05-22 山东理工大学 Superposition computing method for deformation of absorber annular valve sheet under unevenly distributed pressure

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20020022948A1 (en) * 2000-07-19 2002-02-21 Murata Manufacturing Co., Ltd. Method of adjusting characteristics of electronic part
CN103106312A (en) * 2013-03-08 2013-05-15 山东理工大学 Calculation method for vibration absorber isodesmic annular superposed valve plate deformation
CN103116683A (en) * 2013-03-15 2013-05-22 山东理工大学 Superposition computing method for deformation of absorber annular valve sheet under unevenly distributed pressure

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103678833A (en) * 2014-01-02 2014-03-26 山东理工大学 Method for calculating radial stress of non-equal structure superposed valve plates of vehicle shock absorber
CN103678945A (en) * 2014-01-02 2014-03-26 山东理工大学 Method for calculating deformation of non-equal structure superposed valve plates of vehicle shock absorber
CN103678945B (en) * 2014-01-02 2016-06-15 山东理工大学 The non-defining method waiting the distortion of structure superposition valve block of a kind of vehicle vibration damping device
CN103678833B (en) * 2014-01-02 2016-09-07 山东理工大学 The non-computational methods waiting structure superposition valve block radial stress of vehicle shock absorber
CN105260533A (en) * 2015-10-08 2016-01-20 山东理工大学 Method for calculating deformation of unequal thickness annular valve block of hydro-pneumatic spring
CN105260533B (en) * 2015-10-08 2018-01-05 山东理工大学 The hydro-pneumatic spring computational methods that uniform thickness annular valve block does not deform

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