CN103632012A - Method for calculating combined stress of valve plate of shock absorber under arbitrary axisymmetric and non-uniform pressure - Google Patents

Method for calculating combined stress of valve plate of shock absorber under arbitrary axisymmetric and non-uniform pressure Download PDF

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CN103632012A
CN103632012A CN201310693991.1A CN201310693991A CN103632012A CN 103632012 A CN103632012 A CN 103632012A CN 201310693991 A CN201310693991 A CN 201310693991A CN 103632012 A CN103632012 A CN 103632012A
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radius
valve plate
pressure
uniform pressure
micro
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CN103632012B (en
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周长城
赵雷雷
宋群
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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 method for calculating the combined stress of a valve plate of a shock absorber under an arbitrary axisymmetric and non-uniform pressure, belongs to the technical field of the shock absorber and solves the problem that a reliable calculation method for the combined stress of the valve plate of the shock absorber under the arbitrary axisymmetric pressure is not disclosed in China and abroad. The method is characterized by comprising the following steps: dividing the arbitrary non-uniform pressure into a plurality of micro-ring pressures, and determining the proportionality coefficient of each micro-ring pressure; carrying out multiplying and superposition on a combined stress coefficient under the micro-ring pressures and the proportionality coefficients of the micro-ring pressures, so as to obtain a 'pressure-combined stress influence' coefficient of the valve plate at an arbitrary radius, thereby realizing calculation to the combined stress of the valve plate, at the arbitrary radius, of the shock absorber under the arbitrary axisymmetric and non-uniform pressure. According to the embodiment and ANSYS simulation verification, the calculation method is accurate, and a reliable calculation method for the combined stress of the valve plate of the shock absorber under the arbitrary axisymmetric and non-uniform pressure is provided to the accurate design and intensity check of the shock absorber and a sandwich valve plate.

Description

Method for calculating composite stress of damper valve plate under arbitrary axisymmetric non-uniform pressure
Technical Field
The invention relates to a hydraulic damper, in particular to a method for calculating the composite stress of a damper valve plate under any axisymmetric non-uniform pressure.
Background
Due to the influence of the constant through hole and the annular gap, the annular valve plate of the damper is actually unevenly distributed or even irregularly distributed under the influence of pressure. However, to calculate the stress intensity of the damper valve plate under any axisymmetric non-uniform pressure, the problem of calculating the composite stress of the valve plate needs to be solved first, and the composite stress can cause the damper valve plate to break at the inner circle radius. However, at present, no accurate and reliable calculation method is provided for the composite stress calculation of the damper valve plate under the axisymmetric and non-uniform pressure at home and abroad, the composite stress of the damper valve plate is mostly calculated according to the uniform pressure, and the requirements of the precise design and the strength check of the damper and the superposed valve plate are difficult to meet because the composite stress value of the valve plate obtained by calculation has a certain difference with the actual value. 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 in order to realize the modernized CAD design and the characteristic simulation of the shock absorber, an accurate calculation method of the composite stress of the shock absorber valve plate under any axisymmetric and non-uniform pressure must be established, so that the requirements of the precise design and the strength check of the shock absorber and the superposed valve plate are met, the design of the shock absorber and the superposed valve plate is more accurate, and the design level, the performance and the service life of the shock absorber are improved.
Disclosure of Invention
Aiming at the defects in the prior art, the invention aims to provide an accurate and reliable method for calculating the composite stress of the damper valve plate under any axisymmetric non-uniform pressure.
In order to solve the technical problems, the invention provides a method for calculating the composite stress of a damper valve plate under any axisymmetric and non-uniform pressure, wherein a mechanical model of an annular valve plate under the micro-ring concentrated pressure is shown in fig. 2, and the implementation steps of the technical scheme are as follows:
(1) is determined at a radiusr j Micro-ring pressure proportionality coefficient of：
According to given non-uniform pressurep(r) And has a maximum value ofp 0Inner circle radius of annular valve plate of shock absorberr aAnd the radius of the outer circler bThe annular valve sheet is divided into (N-1) micro-rings at any radius ri
Figure 516970DEST_PATH_IMAGE002
Inner circle radius of micro ring
Figure 655827DEST_PATH_IMAGE003
=r j Outer radius of circle
Figure 301572DEST_PATH_IMAGE004
，（j=1,2，…，N-1) determining the radiusr j Micro-ring pressure proportionality coefficient of
Figure 941501DEST_PATH_IMAGE001
It can be expressed as:
Figure 661195DEST_PATH_IMAGE001
Figure 33271DEST_PATH_IMAGE005
；
(2) determining any radius of damper valve platerCoefficient of "pressure-composite stress influence" of
Figure 166312DEST_PATH_IMAGE006
：
According to the radius of the inner circle of the annular valve plate
Figure 219719DEST_PATH_IMAGE007
Radius of outer circleModulus of elasticityEPoisson ratioμAt a radius ofr j Micro ring
Figure 664792DEST_PATH_IMAGE009
（j=1,2，…，N-1) inner circle radius
Figure 285130DEST_PATH_IMAGE003
=r j Outer radius of circle
Figure 938965DEST_PATH_IMAGE004
Radius in step (1)r j Micro-ring pressure proportionality coefficient of
Figure 695568DEST_PATH_IMAGE001
Determining any radius of damper valve platerCoefficient of "pressure-composite stress influence" of
Figure 612709DEST_PATH_IMAGE006
Namely:
Figure 454763DEST_PATH_IMAGE010
,
in the formula,
Figure 912289DEST_PATH_IMAGE011
,
Figure 788978DEST_PATH_IMAGE012
,
Figure 611441DEST_PATH_IMAGE013
；
Figure 940791DEST_PATH_IMAGE014
,
Figure 264325DEST_PATH_IMAGE015
,
Figure 933203DEST_PATH_IMAGE016
；
Figure 988884DEST_PATH_IMAGE017
，
Figure 805530DEST_PATH_IMAGE018
；
Figure 604859DEST_PATH_IMAGE019
，
Figure 213999DEST_PATH_IMAGE020
；
，
Figure 947785DEST_PATH_IMAGE022
；
Figure 285226DEST_PATH_IMAGE023
，
Figure 928697DEST_PATH_IMAGE024
,
Figure 388497DEST_PATH_IMAGE025
Figure 117419DEST_PATH_IMAGE026
；
；
Figure 818844DEST_PATH_IMAGE028
；
Figure 652808DEST_PATH_IMAGE029
；
Figure 548269DEST_PATH_IMAGE031
Figure 963070DEST_PATH_IMAGE032
；
Figure 967935DEST_PATH_IMAGE033
；
Figure 468186DEST_PATH_IMAGE034
Figure 888803DEST_PATH_IMAGE035
Figure 423690DEST_PATH_IMAGE036
Figure 599456DEST_PATH_IMAGE037
；
Figure 587004DEST_PATH_IMAGE038
Figure 873629DEST_PATH_IMAGE039
；
Figure 935126DEST_PATH_IMAGE040
；
Figure 281793DEST_PATH_IMAGE041
Figure 756637DEST_PATH_IMAGE042
Figure 90852DEST_PATH_IMAGE044
；
(3) arbitrary non-uniform pressurep(r) Any radius of lower damper valve platerComposite stress of
Figure 280525DEST_PATH_IMAGE046
And (3) calculating:
according to the thickness of the valve platehMaximum value of arbitrary non-uniform pressurep 0And in step (2) in any ofrCoefficient of "pressure-composite stress influence" of
Figure 242665DEST_PATH_IMAGE006
So as to realize random non-uniform pressure on the valve platep(r) Down at any radiusrIs calculated by
Figure 808775DEST_PATH_IMAGE046
The calculation is carried out, namely:
Figure 172761DEST_PATH_IMAGE047
。
compared with the prior art, the invention has the advantages that:
the pressure borne by the annular damper throttle valve plate is actually non-uniform and even may be irregularly distributed, however, for the calculation of the stress intensity of the damper valve plate under any axisymmetric non-uniform pressure, the problem of the calculation of the composite stress of the valve plate needs to be solved firstly, and the composite stress can cause the damper valve plate to break at the inner circle radius. However, at present, no accurate and reliable calculation method is provided for the composite stress calculation of the damper valve plate under any axisymmetric and non-uniform pressure at home and abroad, the composite stress of the damper valve plate is mostly calculated according to the average pressure, and the stress value of the valve plate obtained by calculation is different from the actual value by a certain degree, so that the requirements of the precise design and the strength check of the damper and the superposed valve plate cannot be met. The method for calculating the composite stress of the absorber valve plate under any axisymmetric and non-uniform pressure comprises the steps of dividing the absorber annular valve plate into a plurality of micro-ring units in any axisymmetric and non-uniform pressure mechanics model, and regarding each micro-ring unit as annular uniform pressure, so that the composite stress of the absorber annular valve plate under any axisymmetric and non-uniform pressure can be regarded as superposition of a plurality of micro-ring pressures, and the composite stress of the absorber annular valve plate under any radius under all the micro-ring pressures can be regarded as superposition of the micro-ring pressuresrComplex stress coefficient of
Figure 595652DEST_PATH_IMAGE048
Coefficient of proportionality to pressurek pr The products are superposed to obtain the random radius of the damper valve platerCoefficient of "pressure-composite stress influence" of
Figure 45088DEST_PATH_IMAGE049
By using
Figure 414889DEST_PATH_IMAGE050
The valve plate of the damper can be at any radius under any axisymmetric and non-uniform pressurerAnd calculating the composite stress at the position. Compared with ANSYS simulation verification results, the established method for calculating the composite stress of the absorber valve plate under any axisymmetric non-uniform pressure is accurate, and a reliable method for calculating the composite stress of the absorber valve plate under any axisymmetric non-uniform pressure is provided for the accurate design and strength check of the absorber and the superposed valve plate.
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 mechanical model of any axisymmetric non-uniform pressure of a damper valve plate;
FIG. 2 is a flow chart of the calculation of the composite stress of the damper valve plate under any axisymmetric and non-uniform pressure;
FIG. 3 is the non-uniform pressure proportionality coefficient of the damper valve plate according to the first embodimentk pr A curve;
FIG. 4 is the pressure-combined stress influence coefficient of the damper valve plate of the first embodiment under the non-uniform pressureA curve;
FIG. 5 shows the combined stress of the damper valve plate of the first embodiment under non-uniform pressureA curve;
FIG. 6 is a simulated cloud of the combined stress of the damper valve plate under non-uniform pressure according to the first embodiment;
FIG. 7 is the non-uniform pressure proportionality coefficient of the valve plate of the damper in the second embodimentk pr A curve;
FIG. 8 is the pressure-combined stress influence coefficient of the damper valve plate of the second embodiment under non-uniform pressure
Figure 898326DEST_PATH_IMAGE006
A curve;
FIG. 9 shows the combined stress of the damper valve plate of the second embodiment under non-uniform pressure
Figure 134135DEST_PATH_IMAGE046
A curve;
FIG. 10 is a simulated cloud of the combined stress of the valve plate of the damper according to the second embodiment under non-uniform pressure;
FIG. 11 is the non-uniform pressure proportionality coefficient of the valve plate of the damper in the third embodimentk pr A curve;
FIG. 12 is the pressure-combined stress influence coefficient of the valve plate of the damper according to the third embodiment under the non-uniform pressure
Figure 144817DEST_PATH_IMAGE006
A curve;
FIG. 13 is the combined stress of the valve plate of the damper according to the third embodiment under non-uniform pressure
Figure 175089DEST_PATH_IMAGE046
A curve;
FIG. 14 is a simulated cloud plot of the combined stress of the damper valve plate of the fourth embodiment under non-uniform pressure;
FIG. 15 is a vibration damping system of the fourth embodimentProportional coefficient of non-uniform pressure of valve platek pr A curve;
FIG. 16 is the pressure-combined stress influence coefficient of the damper valve plate of the fourth embodiment under the non-uniform pressure
Figure 333538DEST_PATH_IMAGE006
A curve;
FIG. 17 shows the combined stress of the damper valve plate of the fourth embodiment under non-uniform pressure
Figure 45142DEST_PATH_IMAGE046
A curve;
FIG. 18 is a simulated cloud diagram of the combined stress of the valve plate of the damper under non-uniform pressure in the fourth embodiment.
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 certain shock absorber annular valve plate
Figure 972647DEST_PATH_IMAGE007
=5.0mm, radius of the outer circle
Figure 173821DEST_PATH_IMAGE008
=8.5mm, modulus of elasticityE=2.0
Figure 819566DEST_PATH_IMAGE052
And poisson's ratioμThickness of =0.3h=0.3mm, valve port radiusr o=8.0mm at radius [5.0,8.0 ]]Uniform pressure is applied to mm sectionp 0At [8.0,8.5 ] =3.0MPa]Applying linear non-uniform pressure on mm sectionp(r)=
Figure 69282DEST_PATH_IMAGE053
MPa, calculating the composite stress of the damper valve plate under the pressure。
The method for calculating the composite stress of the absorber valve plate under any axisymmetric non-uniform pressure provided by the embodiment of the invention has the following specific steps, wherein the calculation flow is shown in figure 2:
(1) is determined at a radiusr j Micro-ring pressure proportionality coefficient of
Figure 116872DEST_PATH_IMAGE001
：
According to non-uniform pressurep(r)=
Figure 488948DEST_PATH_IMAGE053
MPa and maximum value thereofp 0=3.0MPa, inner circle radius of damper valve plate
Figure 621989DEST_PATH_IMAGE007
=5.0mm, radius of the outer circle
Figure 675396DEST_PATH_IMAGE008
=8.5mm, and the radius interval [ 2 ]
Figure 577493DEST_PATH_IMAGE054
]Are divided into 70 parts and the micro-ring spacing
Figure 120469DEST_PATH_IMAGE009
=0.05mm，（j=1,2, 3, …, 70), then at the radiusr j Inner circle radius of micro ring
Figure 475227DEST_PATH_IMAGE003
=r j Outer radius of circle
Figure 332325DEST_PATH_IMAGE004
，（j=1,2, …, 70), determined at a radiusr j Micro-ring pressure proportionality coefficient of
Figure 88928DEST_PATH_IMAGE001
Namely:
Figure 802806DEST_PATH_IMAGE001
Figure 910440DEST_PATH_IMAGE055
；
calculated micro-ring pressure proportionality coefficient
Figure 305649DEST_PATH_IMAGE001
As shown in fig. 3;
(2) determining any radius of damper valve platerCoefficient of "pressure-composite stress influence" of
Figure 916759DEST_PATH_IMAGE006
：
According to the inner radius of the damper valve plate
Figure 67118DEST_PATH_IMAGE007
=5.0mm, radius of the outer circle
Figure 334151DEST_PATH_IMAGE008
=8.5mm, modulus of elasticityE=2.0
Figure 595368DEST_PATH_IMAGE052
And poisson's ratioμ=0.3, radiusr j Micro ring
Figure 60984DEST_PATH_IMAGE009
（jInner circle radius of =1,2, …, 70)
Figure 382244DEST_PATH_IMAGE003
=r j Outer radius of circle
Figure 136574DEST_PATH_IMAGE004
Micro-ring pressure scaling factor in step (1)Determining any radius of damper valve platerCoefficient of "pressure-composite stress influence" of
Figure 521604DEST_PATH_IMAGE006
Namely:
Figure 13766DEST_PATH_IMAGE010
,
in the formula,
Figure 989812DEST_PATH_IMAGE011
,
Figure 592832DEST_PATH_IMAGE012
,
Figure 298619DEST_PATH_IMAGE013
；
Figure 696103DEST_PATH_IMAGE014
,
Figure 425024DEST_PATH_IMAGE015
,
Figure 566156DEST_PATH_IMAGE016
；
，
Figure 632518DEST_PATH_IMAGE018
；
Figure 911052DEST_PATH_IMAGE019
，
Figure 855875DEST_PATH_IMAGE020
；
，
Figure 213224DEST_PATH_IMAGE022
；
Figure 713475DEST_PATH_IMAGE023
，
Figure 196409DEST_PATH_IMAGE024
,
Figure 731296DEST_PATH_IMAGE025
Figure 641483DEST_PATH_IMAGE026
；
Figure 566713DEST_PATH_IMAGE027
；
Figure 853338DEST_PATH_IMAGE028
；
Figure 612836DEST_PATH_IMAGE030
；
；
Figure 93999DEST_PATH_IMAGE033
；
Figure 611568DEST_PATH_IMAGE034
Figure 511391DEST_PATH_IMAGE035
Figure 139819DEST_PATH_IMAGE036
；
Figure 864378DEST_PATH_IMAGE038
Figure 313814DEST_PATH_IMAGE039
；
；
Figure 636528DEST_PATH_IMAGE041
Figure 558216DEST_PATH_IMAGE042
Figure 402862DEST_PATH_IMAGE044
；
any radius of the damper valve plate obtained by calculationrCoefficient of "pressure-composite stress influence" of
Figure 475860DEST_PATH_IMAGE006
As shown in FIG. 4, in which the "pressure-composite stress influence" coefficient at the inner circle radius of the valve sheet
Figure 506133DEST_PATH_IMAGE006
= 36.7mm2；
(3) Arbitrary non-uniform pressurep(r) Any radius of lower damper valve platerOf the siteAnd (3) calculating:
according to the thickness of the valve plateh=0.3mm, maximum non-uniform pressurep 0=3.0MPa, and any of steps (2)rCoefficient of "pressure-composite stress influence" of
Figure 110606DEST_PATH_IMAGE006
Any non-uniform pressure on valve platep(r) Down at any radiusrComposite stress of
Figure 303690DEST_PATH_IMAGE046
The calculation is carried out, namely:
Figure 504865DEST_PATH_IMAGE047
；
any radius of the damper valve plate obtained by calculationrThe maximum composite stress of the valve sheet at the inner circle radius is 1223.2MPa, as shown in fig. 5.
According to the inner circle radius of the annular valve plate of the shock absorberr a5.0mm, outer circle radiusr b8.5mm thickh0.3mm, elastic modelE200GPa, Poisson's ratioμSetting up simulation model with ANSYS as 0.3, and dividing grid unit as 0.1mm at radius [5.0,8.0 ]]Applying uniform pressure on mm sectionp 0=3.0MP, at radius [8.0,8.5]Applying linear non-uniform pressure on mm sectionp(r)=
Figure 88293DEST_PATH_IMAGE053
And (MPa), simulating a composite stress cloud chart of the valve plate of the shock absorber, which is shown in figure 6.
The method has the advantages that the composite stress of the annular valve plate of the shock absorber obtained through ANSYS simulation under the nonuniform pressure is 1190MPa, the deviation from 1223.2MPa calculated by the method is 33.2MPa, and the relative deviation is only 2.71%, so that the method for calculating the composite stress of the annular valve plate of the shock absorber under any nonuniform pressure is correct, and the accurate method for calculating the composite stress of the annular valve plate of the shock absorber under any nonuniform pressure is provided for strength checking and splitting design of the annular valve plate of the shock absorber.
Example two: thickness of certain damper valve plateh=0.3mm, radius of inner circle
Figure 400325DEST_PATH_IMAGE007
=5.0mm, radius of the outer circle
Figure 385599DEST_PATH_IMAGE008
=8.5mm, modulus of elasticityE=2.0And poisson's ratioμ[ 0 ] 0.3, in
Figure 890715DEST_PATH_IMAGE007
,
Figure 6439DEST_PATH_IMAGE008
]Secondary non-uniform pressure is applied in the range
Figure 846219DEST_PATH_IMAGE056
And (MPa) calculating the composite stress of the damper valve plate under the pressure.
The calculation steps of the first embodiment are adopted, namely:
(1) is determined at a radiusr j Micro-ring pressure proportionality coefficient of：
According to non-uniform pressure
Figure 743954DEST_PATH_IMAGE056
MPa and maximum value thereofp 0=3.0MPa, inner circle of damper valve plateRadius of
Figure 663368DEST_PATH_IMAGE007
=5.0mm, radius of the outer circle
Figure 357655DEST_PATH_IMAGE008
=8.5mm, and the radius interval [ 2 ]
Figure 71533DEST_PATH_IMAGE054
]Are divided into 70 parts and the micro-ring spacing
Figure 179166DEST_PATH_IMAGE009
=0.05mm，（j=1,2, 3, …, 70), radiusr j Inner circle radius of micro ring
Figure 636692DEST_PATH_IMAGE003
=r j Outer radius of circle
Figure 185485DEST_PATH_IMAGE004
，（j=1,2, …, 70), determined at a radiusr j Micro-ring pressure proportionality coefficient of
Figure 335844DEST_PATH_IMAGE001
Namely:
Figure 665194DEST_PATH_IMAGE057
；
calculated micro-ring pressure proportionality coefficientk pj As shown in fig. 7;
(2) determining any radius of damper valve platerCoefficient of "pressure-composite stress influence" of
Figure 660832DEST_PATH_IMAGE006
：
According to the inner radius of the damper valve plate
Figure 329711DEST_PATH_IMAGE007
=5.0mm, radius of the outer circle=8.5mm, modulus of elasticityE=2.0
Figure 202038DEST_PATH_IMAGE052
And poisson's ratioμ=0.3 at radiusr j Micro ring
Figure 266946DEST_PATH_IMAGE009
（jInner circle radius of =1,2, …, 70)
Figure 790331DEST_PATH_IMAGE003
=r j Outer radius of circle
Figure 16913DEST_PATH_IMAGE004
Micro-ring pressure scaling factor in step (1)
Figure 320855DEST_PATH_IMAGE001
Determining any radius of damper valve platerCoefficient of "pressure-composite stress influence" of
Figure 923875DEST_PATH_IMAGE006
Namely:
Figure 301767DEST_PATH_IMAGE010
,
in the formula,
Figure 964829DEST_PATH_IMAGE011
,
Figure 490488DEST_PATH_IMAGE012
,；
Figure 457493DEST_PATH_IMAGE014
,
Figure 963561DEST_PATH_IMAGE015
,
Figure 242096DEST_PATH_IMAGE016
；
Figure 186918DEST_PATH_IMAGE017
，；
Figure 278688DEST_PATH_IMAGE019
，
Figure 778939DEST_PATH_IMAGE020
；
Figure 527452DEST_PATH_IMAGE021
，
Figure 796760DEST_PATH_IMAGE022
；
wherein,
Figure 910209DEST_PATH_IMAGE058
；；
Figure 184381DEST_PATH_IMAGE060
，DandKthe expressions of (a) are the same as those of embodiment one;
any radius of the damper valve plate obtained by calculationrCoefficient of "pressure-composite stress influence" of
Figure 573775DEST_PATH_IMAGE006
As shown in FIG. 8, wherein the "pressure-composite stress influence" coefficient at the inner circle radius of the valve sheet
Figure 920442DEST_PATH_IMAGE006
=20.66mm2；
(3) Arbitrary non-uniform pressurep(r) Any radius of lower damper valve platerComposite stress of
Figure 67390DEST_PATH_IMAGE046
And (3) calculating:
according to the thickness of the valve plateh=0.3mm, maximum non-uniform pressurep 0=3.0MPa, and any of steps (2)rCoefficient of "pressure-composite stress influence" of
Figure 157706DEST_PATH_IMAGE006
Any non-uniform pressure on valve platep(r) Down at any radiusrComposite stress of
Figure 401605DEST_PATH_IMAGE046
The calculation is carried out, namely:
Figure 919174DEST_PATH_IMAGE047
；
any radius of the damper valve plate obtained by calculationrThe maximum composite stress of the valve sheet at the inner circle radius is 688.61MPa, as shown in fig. 9.
According to the inner circle radius of the annular valve plate of the shock absorberr a5.0mm, outer circle radiusr b8.5mm thickh0.3mm, elastic modelE200GPa, Poisson's ratioμThe simulation model is built by using ANSYS (American society for research and plant research) with the unit of grid division of 0.1mm at the radius of [5.0, 8.5 ]]Applying secondary non-uniform pressure on mm section
Figure 818997DEST_PATH_IMAGE056
And MPa, simulating a composite stress cloud chart of the valve plate of the shock absorber, which is shown in figure 10.
It can be known that the composite stress of the annular valve plate of the shock absorber obtained through ANSYS simulation under the nonuniform pressure is 670MPa, the deviation from 688.61MPa calculated by the method is 18.61MPa, and the relative deviation is only 2.7%, which indicates that the method for calculating the composite stress of the annular valve plate of the shock absorber under any nonuniform pressure is correct.
Example three: the structural parameters and the material characteristic parameters of a certain damper valve plate are the same as those of the first embodiment, namely the thicknessh=0.3mm, radius of inner circle
Figure 447424DEST_PATH_IMAGE007
=5.0mm, radius of the outer circle
Figure 545830DEST_PATH_IMAGE008
=8.5mm, modulus of elasticityE=2.0
Figure 234301DEST_PATH_IMAGE052
And poisson's ratioμ[ 0 ] 0.3, in
Figure 355841DEST_PATH_IMAGE007
,]Applying a sinusoidal non-uniform pressure within a range
Figure 6451DEST_PATH_IMAGE061
And (MPa) calculating the composite stress of the damper valve plate under the pressure.
The calculation steps of the first embodiment are adopted, namely:
(1) is determined at a radiusr j Micro-ring pressure proportionality coefficient of：
According to non-uniform pressure
Figure 474658DEST_PATH_IMAGE061
MPa and maximum value thereofp 0=3.5MPa, inner circle radius of damper valve plate
Figure 444888DEST_PATH_IMAGE007
=5.0mm, radius of the outer circle
Figure 580203DEST_PATH_IMAGE008
=8.5mm, and the radius interval [ 2 ]
Figure 548159DEST_PATH_IMAGE054
]Are divided into 70 parts and the micro-ring spacing
Figure 706608DEST_PATH_IMAGE009
=0.05mm，（j=1,2, 3, …, 70), radiusr j Inner circle radius of micro ring
Figure 480529DEST_PATH_IMAGE003
=r j Outer radius of circle
Figure 673613DEST_PATH_IMAGE004
，（j=1,2, …, 70), determination is madeAt a radius ofr j Micro-ring pressure proportionality coefficient of
Figure 898225DEST_PATH_IMAGE001
Namely:
Figure 278390DEST_PATH_IMAGE062
；
calculated micro-ring pressure proportionality coefficientk pj As shown in fig. 11;
(2) determining any radius of damper valve platerCoefficient of "pressure-composite stress influence" of
Figure 856002DEST_PATH_IMAGE006
：
According to the inner radius of the damper valve plate
Figure 841276DEST_PATH_IMAGE007
=5.0mm, radius of the outer circle=8.5mm, modulus of elasticityE=2.0
Figure 80813DEST_PATH_IMAGE052
And poisson's ratioμ=0.3 at radiusr j Micro ring
Figure 196537DEST_PATH_IMAGE009
（jInner circle radius of =1,2, …, 70)
Figure 98634DEST_PATH_IMAGE003
=r j Outer radius of circle
Figure 579294DEST_PATH_IMAGE004
Step (1)1) Micro-ring pressure scaling factor inDetermining any radius of damper valve platerCoefficient of "pressure-composite stress influence" of
Figure 853466DEST_PATH_IMAGE006
Namely:
,
in the formula,
Figure 527210DEST_PATH_IMAGE011
,
Figure 369264DEST_PATH_IMAGE012
,
Figure 826790DEST_PATH_IMAGE013
;
Figure 703479DEST_PATH_IMAGE014
,
Figure 525942DEST_PATH_IMAGE015
,；
Figure 116509DEST_PATH_IMAGE017
，
Figure 847705DEST_PATH_IMAGE018
；
Figure 903385DEST_PATH_IMAGE019
，
Figure 657715DEST_PATH_IMAGE020
；
Figure 722623DEST_PATH_IMAGE021
，
Figure 308325DEST_PATH_IMAGE022
；
wherein,；；
Figure 379552DEST_PATH_IMAGE060
，DandKthe expressions of (a) are the same as those of embodiment one;
any radius of the damper valve plate obtained by calculationrCoefficient of "pressure-composite stress influence" of
Figure 819761DEST_PATH_IMAGE006
As shown in FIG. 12, wherein the "pressure-composite stress influence" coefficient at the inner circle radius of the valve sheet
Figure 482823DEST_PATH_IMAGE006
=40.18mm2；
(3) Arbitrary non-uniform pressurep(r) Any radius of lower damper valve platerComposite stress of
Figure 8482DEST_PATH_IMAGE046
And (3) calculating:
according to the thickness of the valve plateh=0.3mm, maximum non-uniform pressurep 0=3.5MPa, and any of steps (2)rCoefficient of "pressure-composite stress influence" ofAny non-uniform pressure on valve platep(r) Down at any radiusrComposite stress ofThe calculation is carried out, namely:
Figure 481555DEST_PATH_IMAGE047
；
any radius of the damper valve plate obtained by calculationrThe maximum composite stress of the valve sheet at the inner circle radius is 1562.7MPa, as shown in fig. 13.
According to the inner circle radius of the annular valve plate of the shock absorberr a5.0mm, outer circle radiusr b8.5mm thickh0.3mm, elastic modelE200GPa, Poisson's ratioμThe simulation model is built by using ANSYS (American society for research and plant research) with the unit of grid division of 0.1mm at the radius of [5.0, 8.5 ]]Applying sinusoidal non-uniform pressure on mm section
Figure 494510DEST_PATH_IMAGE061
And MPa, simulating a composite stress cloud chart of the valve plate of the shock absorber, which is shown in figure 14.
It can be known that the composite stress of the annular valve plate of the shock absorber obtained through ANSYS simulation under the nonuniform pressure is 1550MPa, the deviation from 1562.7MPa calculated by the method is 12.7MPa, and the relative deviation is only 0.8%, which indicates that the method for calculating the composite stress of the annular valve plate of the shock absorber under any nonuniform pressure is correct.
Example four: the structural parameters and the material characteristic parameters of a certain damper valve plate are the same as those of the first embodiment, namely the thicknessh=0.25mm, radius of inner circle
Figure 377016DEST_PATH_IMAGE007
=5.0mm, radius of the outer circle=10.0mm, modulus of elasticityE=2.0
Figure 796682DEST_PATH_IMAGE052
And poisson's ratioμ[ 0 ] 0.3, in
Figure 296933DEST_PATH_IMAGE007
,
Figure 983129DEST_PATH_IMAGE008
]Applying a sinusoidal non-uniform pressure within a rangeAnd (MPa) calculating the composite stress of the damper valve plate under the pressure.
Using the calculation procedure of embodiment one, i.e.
(1) Is determined at a radiusr j Micro-ring pressure proportionality coefficient of
Figure 428203DEST_PATH_IMAGE001
：
According to non-uniform pressure
Figure 415751DEST_PATH_IMAGE064
MPa and maximum value thereofp 0=3.5MPa, inner circle radius of damper valve plate
Figure 702375DEST_PATH_IMAGE007
=5.0mm, radius of the outer circle
Figure 29452DEST_PATH_IMAGE008
=10.0mm, and the radius interval [ 2 ]
Figure 110540DEST_PATH_IMAGE054
]Are divided into 100 parts and the micro-ring spacing
Figure 585384DEST_PATH_IMAGE009
=0.05mm，（j=1,2, 3, …, 100) at radiusr j Inner circle radius of micro ring
Figure 675699DEST_PATH_IMAGE003
=r j Outer radius of circle
Figure 857282DEST_PATH_IMAGE004
，（j=1,2, …, 100), determined at a radiusr j Micro-ring pressure proportionality coefficient ofNamely:
Figure 71412DEST_PATH_IMAGE065
；
calculated micro-ring pressure proportionality coefficientk pj As shown in fig. 15;
(2) determining any radius of damper valve platerCoefficient of "pressure-composite stress influence" of
Figure 699839DEST_PATH_IMAGE006
：
According to the inner radius of the damper valve plate
Figure 1507DEST_PATH_IMAGE007
=5.0mm, radius of the outer circle
Figure 689978DEST_PATH_IMAGE008
=10.0mm, modulus of elasticityE=2.0
Figure 873834DEST_PATH_IMAGE052
And poisson's ratioμ=0.3 at radiusr j Micro ring（jInner circle radius of =1,2, …, 100)
Figure 462128DEST_PATH_IMAGE003
=r j Outer radius of circle
Figure 321499DEST_PATH_IMAGE004
And the micro-ring pressure scaling coefficient in step (1)k pj Determining any radius of damper valve platerCoefficient of "pressure-composite stress influence" of
Figure DEST_PATH_IMAGE066
Namely:
Figure 54969DEST_PATH_IMAGE010
,
in the formula,
Figure 962882DEST_PATH_IMAGE011
,
Figure 35880DEST_PATH_IMAGE012
,
Figure 66153DEST_PATH_IMAGE013
；
Figure 224602DEST_PATH_IMAGE014
,
Figure 998523DEST_PATH_IMAGE015
,
Figure 863711DEST_PATH_IMAGE016
；
Figure 64885DEST_PATH_IMAGE017
，
Figure 710630DEST_PATH_IMAGE018
；
Figure 288242DEST_PATH_IMAGE019
，
Figure 70253DEST_PATH_IMAGE020
；
Figure 380012DEST_PATH_IMAGE021
，
Figure 513053DEST_PATH_IMAGE022
；
wherein,
Figure 628776DEST_PATH_IMAGE058
；
Figure 530873DEST_PATH_IMAGE059
； ，DandKall are trueThe same as in the first embodiment;
any radius of the damper valve plate obtained by calculationrCoefficient of "pressure-composite stress influence" of
Figure 631870DEST_PATH_IMAGE066
As shown in FIG. 16, wherein the "pressure-composite stress influence" coefficient at the inner circle radius of the valve sheet
Figure 285706DEST_PATH_IMAGE066
=81.26mm2；
(3) Arbitrary non-uniform pressurep(r) Any radius of lower damper valve platerComposite stress ofAnd (3) calculating:
according to the thickness of the valve plateh=0.25mm, maximum non-uniform pressurep 0=3.5MPa, and any of steps (2)rCoefficient of "pressure-composite stress influence" of
Figure 104626DEST_PATH_IMAGE006
Any non-uniform pressure on valve platep(r) Down at any radiusrComposite stress of
Figure 84083DEST_PATH_IMAGE068
The calculation is carried out, namely:
Figure DEST_PATH_IMAGE069
；
any radius of the damper valve plate obtained by calculationrThe maximum composite stress of the valve sheet at the inner circle radius is 4550.7MPa, as shown in fig. 17.
According to the inner circle radius of the annular valve plate of the shock absorberr a5.0mm, outer circle radiusr b10.0mm thickh0.25mm, elastic modelE200GPa, Poisson's ratioμThe simulation model is built by using ANSYS (American society for research and plant research) with the unit of grid division of 0.1mm at the radius of [5.0,10.0 ]]Applying sinusoidal non-uniform pressure on mm section
Figure 988454DEST_PATH_IMAGE064
And MPa, simulating a composite stress cloud chart of the valve plate of the shock absorber, which is shown in figure 18.
It can be known that the composite stress of the annular valve plate of the shock absorber obtained through ANSYS simulation under the nonuniform pressure is 4420MPa, and the relative deviation between the composite stress and 4550.7MPa calculated by the method is only 2.8%, which indicates that the method for calculating the composite stress of the annular valve plate of the shock absorber under any nonuniform pressure is correct.

Claims (1)

1. The method for calculating the composite stress of the absorber valve plate under any axisymmetric non-uniform pressure comprises the following specific calculation steps:
(1) is determined at a radiusr j Micro-ring pressure proportionality coefficient of
Figure 334868DEST_PATH_IMAGE001
：
According to given non-uniform pressurep(r) And has a maximum value ofp 0Inner circle radius of annular valve plate of shock absorberr aAnd the radius of the outer circler bThe annular valve sheet is divided into (N-1) micro-rings at any radius ri
Figure 596085DEST_PATH_IMAGE002
Inner circle radius of micro ring
Figure 812434DEST_PATH_IMAGE003
=r j Outer radius of circle
Figure 133694DEST_PATH_IMAGE004
，（j=1,2，…，N-1) determining the radiusr j Micro-ring pressure proportionality coefficient of
Figure 888023DEST_PATH_IMAGE001
It can be expressed as:
Figure 936620DEST_PATH_IMAGE001
；
(2) determining any radius of damper valve platerCoefficient of "pressure-composite stress influence" of
Figure 765215DEST_PATH_IMAGE006
：
According to the radius of the inner circle of the annular valve plate
Figure 741262DEST_PATH_IMAGE007
Radius of outer circleModulus of elasticityEPoisson ratioμAt a radius ofr j Micro ring
Figure 987752DEST_PATH_IMAGE009
（j=1,2，…，N-1) inner circle radius
Figure 634503DEST_PATH_IMAGE003
=r j Outer radius of circle
Figure 425741DEST_PATH_IMAGE004
Radius in step (1)r j Micro-ring pressure proportionality coefficient of
Figure 504556DEST_PATH_IMAGE001
Determining any radius of damper valve platerCoefficient of "pressure-composite stress influence" of
Figure 815583DEST_PATH_IMAGE006
Namely:
Figure 383967DEST_PATH_IMAGE010
,
in the formula,
Figure 600185DEST_PATH_IMAGE011
,
Figure 794275DEST_PATH_IMAGE012
,
Figure 209076DEST_PATH_IMAGE013
；
Figure 151624DEST_PATH_IMAGE014
,
Figure 402608DEST_PATH_IMAGE015
,
Figure 885542DEST_PATH_IMAGE016
；
Figure 669696DEST_PATH_IMAGE017
，
Figure 517566DEST_PATH_IMAGE018
；
，
Figure 542471DEST_PATH_IMAGE020
；
，
Figure 216215DEST_PATH_IMAGE022
；
Figure 628742DEST_PATH_IMAGE023
，
Figure 702746DEST_PATH_IMAGE024
,
Figure 946645DEST_PATH_IMAGE025
Figure 401897DEST_PATH_IMAGE026
；
；
；
Figure 779286DEST_PATH_IMAGE029
Figure 717024DEST_PATH_IMAGE030
；
Figure 104143DEST_PATH_IMAGE031
Figure 270682DEST_PATH_IMAGE032
；
Figure 426857DEST_PATH_IMAGE033
；
Figure 36961DEST_PATH_IMAGE034
Figure 708114DEST_PATH_IMAGE035
Figure 881606DEST_PATH_IMAGE036
；
Figure 171828DEST_PATH_IMAGE038
Figure 330277DEST_PATH_IMAGE039
；
Figure 589351DEST_PATH_IMAGE040
；
Figure 921292DEST_PATH_IMAGE042
Figure 66020DEST_PATH_IMAGE044
；
(3) arbitrary non-uniform pressurep(r) Any radius of lower damper valve platerComposite stress of
Figure 51294DEST_PATH_IMAGE046
Computing：
According to the thickness of the valve platehMaximum value of arbitrary non-uniform pressurep 0And in step (2) in any ofrCoefficient of "pressure-composite stress influence" of
Figure 423370DEST_PATH_IMAGE006
So as to realize random non-uniform pressure on the valve platep(r) Down at any radiusrIs calculated by
Figure 307143DEST_PATH_IMAGE046
The calculation is carried out, namely:
Figure 422867DEST_PATH_IMAGE047
。
CN201310693991.1A 2013-12-18 2013-12-18 The arbitrarily computational methods of vibroshock valve block combined stress under axial symmetry non-uniform distributed pressure Expired - Fee Related CN103632012B (en)

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
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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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103150434A (en) * 2013-03-08 2013-06-12 山东理工大学 Method for calculating combined stress of annular valve sheet of shock absorber
CN103198176A (en) * 2013-03-08 2013-07-10 山东理工大学 Computing method for combined stress of same-structure annular superposed valve sheets of shock absorber

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103150434A (en) * 2013-03-08 2013-06-12 山东理工大学 Method for calculating combined stress of annular valve sheet of shock absorber
CN103198176A (en) * 2013-03-08 2013-07-10 山东理工大学 Computing method for combined stress of same-structure annular superposed valve sheets of shock absorber

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
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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