CN108181192A - A kind of method for obtaining elastic modulus of brake disc - Google Patents
A kind of method for obtaining elastic modulus of brake disc Download PDFInfo
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- CN108181192A CN108181192A CN201711422269.9A CN201711422269A CN108181192A CN 108181192 A CN108181192 A CN 108181192A CN 201711422269 A CN201711422269 A CN 201711422269A CN 108181192 A CN108181192 A CN 108181192A
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- brake disc
- elasticity modulus
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- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/40—Investigating hardness or rebound hardness
- G01N3/405—Investigating hardness or rebound hardness by determining the vibration frequency of a sensing element in contact with the specimen
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Abstract
The invention discloses a kind of method for obtaining elastic modulus of brake disc, belong to the technology in parameter measurement field, including:Step S1 obtains all battery of tests intrinsic frequency { f of the brake disc1, f2..., fi..., fi};Step S2 sets the first elasticity modulus estimated value E of the brake disc1And the second elasticity modulus estimated value E2;Step S3 obtains first group of calculating intrinsic frequency { f' in the preset frequency range1, f'2..., fi' ..., f'i};Step S4 obtains the first difference S1;Step S5 obtains second group of calculating intrinsic frequency { f in the preset frequency range1", f2" ..., fi, " ..., fi}";Step S6 obtains the second difference S2;Step S7, if the first difference S1With the second difference S1Meet preset condition then with the second elasticity modulus estimated value E2The elasticity modulus as the brake disc.The advantageous effect of the technical solution is:The present invention can effectively be accurately obtained the elasticity modulus of various brake discs, and the process of the exact value of the elasticity modulus obtained is easy, so as to improve efficiency, reduces measurement cost.
Description
Technical field
The present invention relates to a kind of technology in parameter measurement field, the elasticity modulus acquisition sides of specifically a kind of brake disc
Method.
Background technology
Elasticity modulus is also known as coefficient of elasticity, Young's modulus, a kind of most important, most feature mechanical property of elastic material
Matter is the characterization of deformation of body complexity, is one of object mechanical analysis important parameter.
Elasticity modulus is the important performance parameter of engineering material, and for macroscopic perspective, elasticity modulus is to weigh object to support
The scale of elastoresistance deformability size is then the anti-of bond strength between atom, lewis' acid for microcosmic angle
It reflects.
All factors for influencing bond strength can influence the elasticity modulus of material, as bonding pattern, crystal structure, chemistry into
Point, microstructure, temperature etc..Because of alloying component difference, condition of heat treatment difference, cold plastic deformation difference etc., metal material
Young's modulus value has the fluctuation of 5% or bigger.But on the whole, the elasticity modulus of metal material is one to organizing not
The influence to elasticity modulus such as sensitive mechanical performance index, alloying, heat treatment, cold plastic deformation is smaller, temperature, loading speed
The external factors such as rate influence it also less, so all using elasticity modulus as constant in common engineering application.
For elasticity modulus, there are two types of methods at present, and there are mainly two types of methods.
Static method measures, i.e. tensile compression test, and for this test method for elastic material, it is more accurate to measure, however
For fragile material, for example cast iron, tensile compression test are not easy to test there is larger error.
Dynamic method measures the intrinsic frequency of standard sample using resonance principle, then using correction formula, calculates elasticity
Modulus, this method can only be directed to standard specimen, and only be calculated using first natural frequency and correction formula, and operation is numerous
It is trivial, and for non-standard exemplar, it can not measure, and elasticity modulus is influenced by the geometry of test specimen, measure
There are errors for elasticity modulus.
Invention content
The present invention proposes a kind of method for obtaining elastic modulus of brake disc for deficiencies of the prior art.This
Invention can effectively be accurately obtained the elasticity modulus of various brake discs, and the process letter of the exact value of the elasticity modulus obtained
Just, so as to improve efficiency, reduce measurement cost.
The present invention is achieved by the following technical solutions:
The present invention relates to a kind of method for obtaining elastic modulus of brake disc, include the following steps:
Step S1, the battery of tests in a preset frequency range that the brake disc is obtained by test measurement are consolidated
There is frequency { f1, f2..., fi..., fiAnd the brake disc physical parameter, wherein:I=1,2 ..., n, n are the frequency
In the range of experiment intrinsic frequency quantity;
Step S2 sets one first elasticity modulus estimated value of the brake disc in the value range of the elasticity modulus
E1And one second elasticity modulus estimated value E2, and E2> E1;
Step S3 creates the geometrical model of the brake disc, by the first elasticity modulus estimated value E1, the geometry mould
One processing model of type and physical parameter input, to obtain one first group of intrinsic frequency of calculating in the preset frequency range
Rate { f'1, f'2..., fi, ' ..., fi', wherein:I=1,2 ... n,;
Step S4, according to formula S1=| f1'-f1|+|f2'-f2|+…+|fn'-fn| processing obtains the first difference S1;
Step S5, by the second elasticity modulus estimated value E2, the geometrical model and the physical parameter input described in
Model is handled, to obtain one second group of calculating intrinsic frequency { f in the preset frequency range1", f "2..., f "i...,
f"i, wherein:I=1,2 ..., n;
Step S6, according to formula S2=| f1"-f1|+|f2"-f2|+…+|fn"-fn| processing obtains the second difference S2;
Step S7, if the first difference S1With the second difference S1Meet preset condition then with second springform
Measure estimated value E2As the elasticity modulus of the brake disc, exit the program;
Otherwise, the second elasticity modulus estimated value E is changed2With the first elasticity modulus estimated value E1After return to step
S3。
Preferably, the method for obtaining elastic modulus of the brake disc, wherein, in the step S7, the preset condition is |
S1-S2|≤β, wherein:β is a given threshold.
Preferably, the method for obtaining elastic modulus of the brake disc, wherein, the given threshold is 1 × 10-6。
Preferably, the method for obtaining elastic modulus of the brake disc, wherein, if S2-S1<-β, then follow the steps below:
Step S11 presets a median E3, enable E3=E2;
Step S12, enables E2=(E3+E1)/2;
Step S13, enables E1=E3;
Step S14, enables S1=S2Afterwards, step S5 is returned to.
Preferably, the method for obtaining elastic modulus of the brake disc, wherein, if S2-S1> β, then follow the steps below:
Step S21 presets a median E4, enable E4=E2;
Step S22, enables E2=(E4+E1Behind)/2, step S5 is returned to.
Preferably, the method for obtaining elastic modulus of the brake disc, wherein, in the step S2, first springform
Estimated value is measured as the minimum value in the value range, the second elasticity modulus estimated value is the maximum in the value range
Value.
Preferably, the method for obtaining elastic modulus of the brake disc, wherein, the physical parameter includes:The brake disc
Density and Poisson's ratio.
Preferably, the method for obtaining elastic modulus of the brake disc, wherein, the density of the brake disc passes through following step
It is rapid to obtain:
The brake disc is put into a container for filling liquid by step S31, and is collected from described in container spilling
Liquid;
Step S32 measures the volume of the liquid overflowed from the container;
Step S33 measures the quality of the brake disc, and the institute of the brake disc is obtained according to the volume and the quality
State density.
Preferably, the method for obtaining elastic modulus of the brake disc, wherein, in the step S1, the preset frequency
Ranging from 50~10000Hz.
The advantageous effect of above-mentioned technical proposal is:The present invention can effectively be accurately obtained the springform of various brake discs
Amount, and the process of the exact value of the elasticity modulus obtained is easy, so as to improve efficiency, reduces measurement cost.
Description of the drawings
Fig. 1 is a kind of flow diagram of the method for obtaining elastic modulus of brake disc in the preferred embodiment of the present invention;
Fig. 2 is several model schematics of brake disc in the preferred embodiment of the present invention;
Fig. 3 is intrinsic frequency comparison diagram in the preferred embodiment of the present invention.
Specific embodiment
Below in conjunction with the attached drawing in the embodiment of the present invention, the technical solution in the embodiment of the present invention is carried out clear, complete
Site preparation describes, it is clear that described embodiment is only part of the embodiment of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, those of ordinary skill in the art obtained under the premise of creative work is not made it is all its
His embodiment, shall fall within the protection scope of the present invention.
It should be noted that in the absence of conflict, the feature in embodiment and embodiment in the present invention can phase
Mutually combination.
The invention will be further described in the following with reference to the drawings and specific embodiments, but not as limiting to the invention.
As shown in Figure 1, the present embodiment is related to a kind of method for obtaining elastic modulus of brake disc, braking is measured in the present embodiment
The elasticity modulus of disk.
Specifically include following steps:
Step S1, all battery of tests in a preset frequency range that brake disc is obtained by test measurement are consolidated
There is frequency { f1, f2..., fi..., fiAnd physical parameter, wherein:I=1,2 ... n, n is that the experiment in frequency range is intrinsic
The quantity of frequency.
Experiment intrinsic frequency quantity of the different brake discs in the frequency range is different, n by brake disc material, several
The factors such as what shape determine.
Step S2 sets the first elasticity modulus estimated value E of brake disc in the value range of elasticity modulus1And second
Elasticity modulus estimated value E2, and E2> E1。
The value range of elasticity modulus can be estimated by simple experiment or be searched by technical manual and obtained, value
Maximum value possible of the upper limit of range for the elasticity modulus of the brake disc, the offline elasticity modulus for the brake disc of value range
Minimum possible value.
Step S3, as shown in Fig. 2, the geometrical model of brake disc is created, by the first elasticity modulus estimated value E1, geometrical model
Model is handled with physical parameter input one, to obtain first group of calculating intrinsic frequency { f' in preset frequency range1, f
'2..., fi' ..., f'i, i=1,2 ..., n.
The geometrical model of brake disc is obtained by UG softwares, and is input in processing model, which is finite element
Model.The calculating intrinsic frequency for obtaining the n within 10KHz first group of calculating intrinsic frequency is handled by the finite element model.
Physical parameter includes the density and Poisson's ratio of brake disc.Density can be measured by drainage, that is, use drainage
The volume of the brake disc is measured, then measures quality, and then the density of the brake disc is obtained.Poisson's ratio passes through test measurement.
The density of brake disc is obtained by following steps:
Brake disc is put into a container for filling liquid by step S31, and collects the liquid overflowed from container;
Step S32 measures the volume of liquid overflowed from container;
Step S33 measures the quality of brake disc, and the density of brake disc is obtained according to volume and quality.
Step S4, processing obtain the first difference S1, wherein:S1=| f1'-f1|+|f2'-f2|+…+|fn'-fn|。
Step S5, by the second elasticity modulus estimated value E2, geometrical model and physical parameter input processing model, it is pre- to obtain
If frequency range in second group of calculating intrinsic frequency { f1", f "2..., f "i..., f "i, i=1,2 ..., n.
It is handled by the finite element model and obtains the n within the 10KHz meter being included in second group of calculating intrinsic frequency
Calculate intrinsic frequency.
Step S6, processing obtain the second difference S2, wherein:
Step S7, if the first difference S1With the second difference S1Meet preset condition then with the second elasticity modulus estimated value E2Make
Elasticity modulus for brake disc;
Otherwise, the second elasticity modulus estimated value E is changed2After return to step S3.
In the step s 7, preset condition is | S1-S2|≤β, wherein:β is a given threshold.
Given threshold β is taken as 1 × 10-6。
If S2-S1<-β, then follow the steps below:
Step S11 presets a median E3, enable E3=E2;
Step S12, enables E2=(E3+E1)/2;
Step S13, enables E1=E3;
Step S14, enables S1=S2Afterwards, step S5 is returned to.
If S2-S1> β, then follow the steps below:
Step S21 presets a median E4, enable E4=E2;
Step S22, enables E2=(E4+E1Behind)/2, step S5 is returned to.
Pass through step S7, the first difference S1With the second difference S1Meet preset condition then with the second elasticity modulus estimated value E2
Elasticity modulus as brake disc, you can obtain the end value of the elasticity modulus of the brake disc.
When being unsatisfactory for preset condition, perform step S11~step S14 or perform step S21~step S22, until first
Difference S1With the second difference S1Until meeting preset condition.And then obtain the elasticity modulus of brake disc.
In a preferred embodiment, in step s 2, the first elasticity modulus estimated value is the minimum value in value range, the
Two elasticity modulus estimated values are the maximum value in value range.
In a preferred embodiment, in step sl, preset frequency range is 50~10000Hz.
As shown in figure 3, the end value of the elasticity modulus of brake disc is obtained by the above method, by the end value, that is, step
Elasticity modulus is obtained in S7 and is brought into the n calculating intrinsic frequency for calculating and being obtained within 10KHz in finite-element module.It is solid by calculating
There is frequency compared with above-mentioned experiment intrinsic frequency, and make curve graph.From figure 3, it can be seen that calculate intrinsic frequency and
Experiment intrinsic frequency essentially coincides, it was demonstrated that passes through the accuracy for the elasticity modulus that the above method obtains.
The method for obtaining elastic modulus of the brake disc of the present invention, compared with prior art:The present invention can effectively accurately
The elasticity modulus of various brake discs is obtained, and the process of the exact value of the elasticity modulus obtained is easy, so as to improve efficiency, subtracts
Measurement cost is lacked.
The foregoing is merely preferred embodiments of the present invention, not thereby limit embodiments of the present invention and protection model
It encloses, to those skilled in the art, should can appreciate that all with made by description of the invention and diagramatic content
Equivalent replacement and obviously change obtained scheme, should all include within the scope of the present invention.
Claims (9)
1. a kind of method for obtaining elastic modulus of brake disc, which is characterized in that include the following steps:
Step S1 obtains the intrinsic frequency of battery of tests in a preset frequency range of the brake disc by test measurement
Rate { f1, f2..., fi..., fiAnd the brake disc physical parameter, wherein:I=1,2 ..., n, n are the frequency range
Interior intrinsic frequency quantity;
Step S2 sets one first elasticity modulus estimated value E of the brake disc in the value range of the elasticity modulus1With
And one second elasticity modulus estimated value E2, and E2> E1;
Step S3 creates the geometrical model of the brake disc, by the first elasticity modulus estimated value E1, the geometrical model and
The one processing model of physical parameter input, to obtain one first group of calculating intrinsic frequency in the preset frequency range
{f′1, f '2..., f 'i..., f 'i, wherein:I=1,2 ..., n;
Step S4, according to formula S1=| f '1-f1|+|f′2-f2|+…+|f′n-fn| processing obtains the first difference S1;
Step S5, by the second elasticity modulus estimated value E2, the geometrical model and the physical parameter input the processing mould
Type, to obtain one second group of calculating intrinsic frequency { f " in the preset frequency range1, f "2..., f "i..., f "i,
In:I=1,2 ..., n;
Step S6, according to formula S2=| f "1-f1|+|f"2-f2|+…+|f"n-fn| processing obtains the second difference S2;
Step S7, if the first difference S1With the second difference S1Meet preset condition and then estimated with second elasticity modulus
Evaluation E2As the elasticity modulus of the brake disc, exit the program;
Otherwise, the second elasticity modulus estimated value E is changed2With the first elasticity modulus estimated value E1After return to step S3.
2. the method for obtaining elastic modulus of brake disc according to claim 1, it is characterized in that,
In the step S7, the preset condition is | S1-S2|≤β, wherein:β is a given threshold.
3. the method for obtaining elastic modulus of brake disc according to claim 2, it is characterized in that,
The given threshold is 1 × 10-6。
4. the method for obtaining elastic modulus of brake disc according to claim 1, it is characterized in that,
In the step S7, the preset condition is | S1-S2|≤β, wherein:β is a given threshold;
If S2-S1<-β, then follow the steps below:
Step S11 presets a median E3, enable E3=E2;
Step S12, enables E2=(E3+E1)/2;
Step S13, enables E1=E3;
Step S14, enables S1=S2Afterwards, step S5 is returned to.
5. the method for obtaining elastic modulus of brake disc according to claim 1, it is characterized in that,
In the step S7, the preset condition is | S1-S2|≤β, wherein:β is a given threshold;
If S2-S1> β, then follow the steps below:
Step S21 presets a median E4, enable E4=E2;
Step S22, enables E2=(E4+E1Behind)/2, step S5 is returned to.
6. the method for obtaining elastic modulus of brake disc according to claim 1, it is characterized in that,
In the step S2, the first elasticity modulus estimated value is the minimum value in the value range, second bullet
Property modulus estimated value be the maximum value in the value range.
7. the method for obtaining elastic modulus of brake disc according to claim 1, it is characterized in that,
The physical parameter includes:The density and Poisson's ratio of the brake disc.
8. the method for obtaining elastic modulus of brake disc according to claim 7, it is characterized in that,
The density of the brake disc is obtained by following steps:
The brake disc is put into a container for filling liquid by step S31, and collects the liquid overflowed from the container
Body;
Step S32 measures the volume of the liquid overflowed from the container;
Step S33 measures the quality of the brake disc, and the described close of the brake disc is obtained according to the volume and the quality
Degree.
9. the method for obtaining elastic modulus of brake disc according to claim 1, it is characterized in that, in the step S1, in advance
If the frequency range be 50~10000Hz.
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