CN105260533B - The hydro-pneumatic spring computational methods that uniform thickness annular valve block does not deform - Google Patents
The hydro-pneumatic spring computational methods that uniform thickness annular valve block does not deform Download PDFInfo
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Abstract
The present invention relates to the hydro-pneumatic spring computational methods that uniform thickness annular valve block does not deform, belong to hydro pneumatic suspension technical field.The hydro-pneumatic spring provided by the invention computational methods that uniform thickness annular valve block does not deform, according to the not uniform thickness annular valve block mechanical model and valve block parameter under well-distributed pressure, utilize the not characteristic equation of the characteristic equation of uniform thickness annular valve block deformation formula coefficient and deformation formula constant, the coefficient and constant of deformation formula are determined, gives not uniform thickness annular valve block meaning radius in officerThe deformation analytic sensitivity of opening position；Using valve block in radiusrThe deformation calculation formula of opening position, can be to hydro-pneumatic spring not uniform thickness annular valve block meaning radius in officerThe deformation of opening position is accurately calculated.By the way that compared with ANSYS simulation results, the computational methods of valve block deformation are accurate, reliable, and for hydro-pneumatic spring, uniform thickness valve block careful design does not provide accurate, reliable Method for Calculating Deformation.
Description
Technical field
The present invention relates to hydro-pneumatic spring, particularly the hydro-pneumatic spring computational methods that uniform thickness annular valve block does not deform.
Background technology
Hydro-pneumatic spring can effectively decay on special vehicle spring and the vibration of unsprung mass, so as to improve vehicle driving safety
Property, ride comfort and control stability, thus be widely applied in special purpose vehicle.The damping characteristic of hydro-pneumatic spring mainly by
What its valves parameter was determined, the design of valve block serves key to damping characteristic.At present, the conventional valve block of hydro-pneumatic spring is
Equal thickness annular valve block, however, it can not meet the requirement of some special purpose vehicle hydro-pneumatic spring nonlinear dampling characteristic designs；
Thick and circular valve block is because having the advantages that compared with strong nonlinear deformation characteristic, stress is small, shock resistance and long lifespan, turn into meet it is non-thread
The good choosing of property damping characteristic design requirement.However, home and abroad is not given also to the design of special purpose vehicle hydro-pneumatic spring valves parameter at present
Go out reliable design theory, and the deformation for not uniform thickness annular valve block does not provide accurate analytical formula yet.Although China
Existing scholar has carried out numerous studies to this, but only establishes deformation analytical Calculation side of the equal thickness valve block under well-distributed pressure
Method；To not deformation of the equal thickness annular valve block under even distributed force, reliable computational methods are not established still, are mostly to utilize to have
Limit meta software and carry out numerical simulation by modeling.Although more reliable design of Simulation value can be provided using this method, however,
Because the method can not provide analytical formula, it is difficult to meet the requirement of actual hydro-pneumatic spring design and characteristic Simulation modeling.To the greatest extent
Pipe《Mechanical design handbook》The deformation coefficient of uniform thickness annular valve block is provided, but the calculating side of not uniform thickness annular valve block is not provided
Method, it is impossible to meet the requirement that uniform thickness annular valve block deformation gauge is not calculated.Therefore, it is necessary to the deformation gauge of solution never equal thickness annular valve block
Calculation problem.
The content of the invention
For defect present in above-mentioned prior art, the technical problems to be solved by the invention be to provide it is a kind of accurate,
The reliable hydro-pneumatic spring computational methods that uniform thickness annular valve block does not deform, its calculation flow chart are as shown in Figure 1；Hydro-pneumatic spring
Thick and circular valve block mechanical model is as shown in Figure 2.
In order to solve the above technical problems, the hydro-pneumatic spring provided by the present invention calculating side that uniform thickness annular valve block does not deform
Method, it is characterised in that use following calculation procedure：
(1) the coefficient X of not uniform thickness annular valve block deformation formula is determined1、X2、Y1And Y2：
According to the elastic modulus E of hydro-pneumatic spring not uniform thickness annular valve block, Poisson's ratio μ, the thickness h of its equal thickness part0, become
Thickness radius rt, effective inner circle radius ra, exradius rb, suffered well-distributed pressure p, establish not uniform thickness annular valve block deformation formula
Coefficient X1、X2、Y1And Y2Characteristic equation, i.e.,：
Using Matlab programs, solve above-mentioned on X1、X2、Y1And Y2Four equations composition equation group, try to achieve
The coefficient X of thick and circular valve block deformation formula1, X2, Y1And Y2；
(2) the constant Z of not uniform thickness annular valve block deformation formula is determined1And Z2：
According to the elastic modulus E of hydro-pneumatic spring not uniform thickness annular valve block, Poisson's ratio μ, the thickness h of its equal thickness part0, become
Thickness radius rt, effective inner circle radius ra, exradius rb, suffered well-distributed pressure p, and the thick and circular such as not that step (1) is tried to achieve
The coefficient X of valve block deformation formula1、X2、Y1And Y2, establish the constant Z of not uniform thickness annular valve block deformation formula1And Z2Feature side
Journey, i.e.,：
Using Matlab programs, solve above-mentioned on Z1And Z2Two equations composition equation group, try to achieve not wait thick and circular
The constant Z of valve block deformation formula1And Z2；
(3) the deflection z not at uniform thickness annular valve block meaning radius r in office is calculatedr：
According to the elastic modulus E of hydro-pneumatic spring not uniform thickness annular valve block, Poisson's ratio μ, the thickness h of its equal thickness part0, become
Thickness radius rt, effective inner circle radius ra, exradius rb, suffered well-distributed pressure p, the not uniform thickness annular valve block that step (1) is tried to achieve
The coefficient X of deformation formula1、X2、Y1And Y2, and the constant Z of not uniform thickness annular valve block deformation formula that step (2) is tried to achieve1And Z2, meter
Calculate the deflection z at not uniform thickness annular valve block meaning radius r in officer, i.e.,
The present invention has the advantage that than prior art：
Deformation to hydro pneumatic suspension not uniform thickness annular valve block, there is no accurate, reliable computational methods inside and outside predecessor State, mostly
It is to utilize finite element emulation software, numerical simulation is carried out by establishing physical model to the valve block under setting pressure, obtains approximation
Numerical solution.Although can provide more reliable simulation value using this method, the method, which can not provide, meets hydro-pneumatic spring
The deformation analytical formula of design and characteristic Simulation.Although《Mechanical design handbook》It provide only the deformation system of uniform thickness annular valve block
Number, but without providing the computational methods of not uniform thickness annular valve block, therefore can not meet that what not uniform thickness annular valve block deformation gauge calculated wants
Ask.
Hydro-pneumatic spring provided by the invention not uniform thickness annular valve block deformation computational methods, using under well-distributed pressure not
Uniform thickness annular valve block mechanical model, according to the inside radius of valve block, outer radius, Varying-thickness radius, modulus of elasticity and Poisson's ratio, utilize
The not characteristic equation of coefficient and the characteristic equation of deformation constant of uniform thickness annular valve block deformation formula, it is determined that not uniform thickness annular valve block
The coefficient and deformation constant of deformation formula, give the deformation calculation formula of not uniform thickness annular valve block meaning radius r opening positions in office；
Using valve block in the deformation calculation formula of radius r opening positions, the change for the radius r opening positions that in office to not uniform thickness annular valve block can anticipate
Shape is accurately calculated, by the way that compared with ANSYS simulation results, the computational methods of valve block deformation are accurate, reliable,
For accurate design hydro-pneumatic spring, uniform thickness valve block does not provide accurate, reliable Method for Calculating Deformation.
Brief description of the drawings
It is described further below in conjunction with the accompanying drawings for a better understanding of the present invention.
Fig. 1 be hydro-pneumatic spring not uniform thickness annular valve block deformation computational methods calculation flow chart；
Fig. 2 is hydro-pneumatic spring not uniform thickness annular valve block mechanical model figure；
Fig. 3 is the deformation simulation cloud atlas of not uniform thickness annular valve block.
Embodiment
The present invention is described in further detail below by an embodiment.
Certain special vehicle hydro-pneumatic spring employs not uniform thickness annular valve block, elastic modulus E=200GPa, Poisson's ratio μ=1/
3, the thickness h of its equal thickness part0=0.3mm, Varying-thickness radius rt=7.3mm, effective inner circle radius ra=5.0mm, cylindrical half
Footpath rb=8.5mm, suffered well-distributed pressure are p=3.0MPa.In order to accurately design the nonlinear dampling characteristic of hydro-pneumatic spring, need
Accurately to calculate not deflection of the uniform thickness annular valve block at radius r=8.5mm.
The hydro-pneumatic spring that present example the is provided computational methods that uniform thickness annular valve block does not deform, its calculation flow chart is such as
Shown in Fig. 1, hydro-pneumatic spring not uniform thickness annular valve block mechanical model as shown in Fig. 2 comprising the following steps that：
(1) the coefficient X of not uniform thickness annular valve block deformation formula is determined1、X2、Y1And Y2：
According to elastic modulus E=200GPa of special vehicle hydro-pneumatic spring not uniform thickness annular valve block, Poisson's ratio μ=1/3, its
The thickness h of equal thickness part0=0.3mm, Varying-thickness radius rt=7.3mm, effective inner circle radius ra=5.0mm, exradius rb
=8.5mm, suffered well-distributed pressure p=3.0MPa, the characteristic equation of not each coefficient of uniform thickness annular valve block deformation formula is established,
I.e.：
Using Matlab programs, solve above-mentioned on X1、X2、Y1And Y2Four equations composition equation group, try to achieve
The coefficient X of thick and circular valve block deformation formula1=562.086, X2=0.00169500, Y1=0.00040645 and Y2=-
30925929.105；
(2) the constant Z of not uniform thickness annular valve block deformation formula is determined1And Z2：
According to elastic modulus E=200GPa of special vehicle hydro-pneumatic spring not uniform thickness annular valve block, Poisson's ratio μ=1/3, its
The thickness h of equal thickness part0=0.3mm, Varying-thickness radius rt=7.3mm, effective inner circle radius ra=5.0mm, exradius rb
=8.5mm, suffered well-distributed pressure p=3.0MPa, and the coefficient X of not uniform thickness annular valve block deformation formula that step (1) is tried to achieve1
=562.086, X2=0.00169500, Y1=0.00040645 and Y2=-30925929.105, establish not uniform thickness annular valve block
The constant Z of deformation formula1And Z2Characteristic equation, i.e.,：
Using Matlab programs, solve above-mentioned on Z1And Z2Two equations composition equation group, try to achieve not wait thick and circular
The deformation constant Z of valve block deformation formula1=10.4404 and Z2=-0.0271；
(3) the deflection z not at uniform thickness annular valve block meaning radius r in office is calculatedr：
According to elastic modulus E=200GPa of special vehicle hydro-pneumatic spring not uniform thickness annular valve block, Poisson's ratio μ=1/3, its
The thickness h of equal thickness part0=0.3mm, Varying-thickness radius rt=7.3mm, effective inner circle radius ra=5.0mm, exradius rb
=8.5mm, suffered well-distributed pressure p=3.0MPa, the coefficient X for the not uniform thickness annular valve block deformation formula that step (1) is tried to achieve1=
562.086, X2=0.00169500, Y1=0.00040645 and Y2=-30925929.105, and step (2) are tried to achieve
The deformation constant Z of thick and circular valve block deformation formula1=10.4404 and Z2=-0.0271, calculate not uniform thickness annular valve block in radius r
Deflection z at=8.5mmr, due to r ∈ (rt,rb], therefore
Hydro-pneumatic spring in embodiment not uniform thickness annular valve block, elastic modulus E=200GPa, Poisson's ratio μ=1/3,
The thickness h of its equal thickness part0=0.3mm, Varying-thickness radius rt=7.3mm, effective inner circle radius ra=5.0mm, exradius
rb=8.5mm, suffered well-distributed pressure are p=3.0MPa, establish model using ANSYS finite element analysis softwares, its boundary condition
It is consistent with Fig. 2 mechanical model, to model partition grid in units of 0.1mm, apply on radius [5.0,8.5] mm sections equal
Cloth pressure 3.0MPa, statics deformation simulation analysis, the deformation simulation cloud atlas of obtained not uniform thickness annular valve block are carried out to valve block
As shown in Figure 3.
From simulation result Fig. 3, under well-distributed pressure p=3.0MPa, the not deformation maximum distortion of uniform thickness annular valve block
Simulation value is 0.1221mm, i.e., the deformation simulation value at r=8.5mm is 0.1221mm, with being calculated using the computational methods
Deformation values 0.1218mm match, relative deviation is only 0.25%.As a result show, the hydro-pneumatic spring established does not wait thick and circular
The computational methods of valve block deformation are correct.
Claims (1)
1. the hydro-pneumatic spring computational methods that uniform thickness annular valve block does not deform, its specific calculation procedure are as follows：
(1) the coefficient X of not uniform thickness annular valve block deformation formula is determined1、X2、Y1And Y2：
According to the elastic modulus E of hydro-pneumatic spring not uniform thickness annular valve block, Poisson's ratio μ, the thickness h of its equal thickness part0, Varying-thickness
Radius rt, effective inner circle radius ra, exradius rb, suffered well-distributed pressure p, establish not uniform thickness annular valve block deformation formula coefficient
X1、X2、Y1And Y2Characteristic equation, i.e.,：
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Using Matlab programs, solve above-mentioned on X1、X2、Y1And Y2Four equations composition equation group, try to achieve not uniform thickness ring
The coefficient X of shape valve block deformation formula1, X2, Y1And Y2；
(2) the constant Z of not uniform thickness annular valve block deformation formula is determined1And Z2：
According to the elastic modulus E of hydro-pneumatic spring not uniform thickness annular valve block, Poisson's ratio μ, the thickness h of its equal thickness part0, Varying-thickness
Radius rt, effective inner circle radius ra, exradius rb, suffered well-distributed pressure p, and the not uniform thickness annular valve block that step (1) is tried to achieve
The coefficient X of deformation formula1、X2、Y1And Y2, establish the constant Z of not uniform thickness annular valve block deformation formula1And Z2Characteristic equation, i.e.,：
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Using Matlab programs, solve above-mentioned on Z1And Z2Two equations composition equation group, try to achieve not uniform thickness annular valve block
The constant Z of deformation formula1And Z2；
(3) the deflection z not at uniform thickness annular valve block meaning radius r in office is calculatedr：
According to the elastic modulus E of hydro-pneumatic spring not uniform thickness annular valve block, Poisson's ratio μ, the thickness h of its equal thickness part0, Varying-thickness
Radius rt, effective inner circle radius ra, exradius rb, suffered well-distributed pressure p, the not uniform thickness annular valve block deformation that step (1) is tried to achieve
The coefficient X of formula1、X2、Y1And Y2, and the constant Z of not uniform thickness annular valve block deformation formula that step (2) is tried to achieve1And Z2, calculate not
Deflection z at uniform thickness annular valve block meaning radius r in officer, i.e.,
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