CN109408969A - A method of constitutive model is established using finite element software identification rubber viscoelastic parameter - Google Patents
A method of constitutive model is established using finite element software identification rubber viscoelastic parameter Download PDFInfo
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Abstract
The invention discloses a kind of modes that the method present invention for establishing constitutive model using finite element software identification rubber viscoelastic parameter is combined using experiment with software, carry out rubber viscoelastic mode parameter identification, the physical model of rubbery sample is established using ANSYS, specification is designed according to size of sample used is tested.It establishes rubber superlastic and adds viscoelastic constitutive model.Experimental data combination ANSYS carries out viscoelastic parameter identification.Parameters of constitutive model is inputted, viscoelastic mode is filled according to step 3 result, carries out grid dividing, and conditions setting is arranged solving condition, carries out the calculating of the kinetic characteristics of rubber.Method before relatively, the method for the present invention is simple, and as a result accurately and reliably, the result error obtained using this method simulation analysis is less than 3%.Positive meaning is played to rubber viscoelastic parameter identification and rubber dynamical property analysis.
Description
Technical field
The present invention relates to a kind of methods for establishing constitutive model using finite element software identification rubber viscoelastic parameter, especially relate to
And a kind of method for establishing constitutive model progress rubber kinetic characteristics calculating using finite element software identification rubber viscoelastic parameter,
Belong to dynamics of solids calculating field.
Background technique
Rubber is widely applied to the row such as automobile, aviation, precision instrument because having good absorbing, damping, sealing performance
In the vibration insulation structure of the machine of industry, such as: engine vibration isolation piece, fuel tank sealing ring.Rubber has complicated mechanical property, a side
Super-elasticity is embodied in face, with very big adaptability to changes (ratio that stress, strain have very little), the stress-strain relation of material
Indicated by strain energy density function, material proximate it is incompressible；On the one hand viscoplasticity, under ringing power, material are embodied
Material response shows rate dependence, there are hysteresis effects for ess-strain.Different composition proportions can produce the different rubber of property
Glue product, the reflected physical property of institute differ widely.Therefore, before rubber product is really applied in equipment, rationally
Selection rubber, to rubber carry out finite element dynamic analysis, to rubber mechanical property carry out Accurate Prediction, determine product essence
Degree even life of product.
Accurately establishing rubber constitutive model is the basis for carrying out rubber dynamical property analysis, and the constitutive model established is determined
Can determine the emulation of limited rubber member characterize rubber kinetic characteristics comprehensively.Superlastic model is used not merely in previous research
The mechanical property of the accurate comprehensive representation rubber of energy, it is meaningful indefinite using viscoelastic parameter when superlastic plus viscoelastic constitutive model,
Discrimination method is complicated and applies theory deduction more, and experiment condition is confined to unidirectionally drawing, pressure more, and plane shear etc. is static and standard is quiet
The disadvantages of state is tested.Which results in not comprehensive enough to rubber dynamic analysis, the rubber kinetic characteristics of prediction do not meet reality
Border leads to unnecessary loss.
Summary of the invention
For the problem present on, the present invention provides a kind of application finite element software identification rubber viscoelastic parameters to establish
The method that constitutive model carries out the calculating of rubber kinetic characteristics, the form that method is combined using experiment with emulation, by rubber reality
It tests data and imported into progress viscoelastic parameter fitting in finite simulation element analysis software, the discrimination method is simple, and practical, it is objective to meet
It is practical.A kind of new method is provided for rubber viscoelastic mode parameter identification, so that rubber dynamical property analysis is more comprehensive.
The technical solution adopted by the present invention is that a kind of application finite element software identification rubber viscoelastic parameter establishes constitutive model
The method for carrying out the calculating of rubber kinetic characteristics, comprising the following steps:
1) rubbery sample physical model is established in finite element software.
2) it establishes rubber superlastic and adds viscoelastic constitutive model, wherein superlastic model uses bis- parameter model of Mooney-Rivlin
It is indicated, viscoelastic mode is characterized using general Maxwell model, and general Maxwell model is expressed as three-dimensional flow in Ansys
Varying model, as shown in Equation 1:
In formula: σ is cauchy stress, Pa；G (t) is shear relaxation kernel function；K (t) is volume relaxation kernel function；E is to cut to answer
Become deviator；Δ is body strain；T is current time, s；τ is process time, s.Wherein:
In formula: G0And K0The respectively shearing at 0 moment and bulk relaxation module, Pa；nG、nKFor PRONY term of a series number；For relative modulus；For slack time, s.WhereinAlso referred to as shear loading coefficient；
Also by for volume response coefficient.
3) experimental data that rubbery sample relaxation modulus changes over time is extracted
According to institute's DMA (Dynamic thermomechanical analysis) dynamic thermomechanical analysis system to be applied
The standby rubbery sample with the same ingredient of studied rubber carries out the setting of experiment condition in conjunction with actual condition, comprising: experiment temperature
Degree, test frequency scanning range, plastic strain amplitude etc..Select DMA temperature/frequency sweep experiment, obtain rubber loss modulus and
Storage modulus versus time curve, by DMA tester software, the relaxation modulus data for obtaining rubber change with time
Curve, the curve have fully demonstrated rubber viscous-elastic behaviour under the conditions of frequency and temperature change.
4) viscoelastic parameter identification is carried out in finite element software
The data that the rubber relaxation modulus of extraction is changed over time are input to the prony curve fitting of ANSYS
In, adjustment coeff value initial parameter is 0,1, is fitted, obtains relative modulus and slack time i.e. viscoelastic in formula 2,3
Parameter.
5) it is based on finite element ANSYS, emulation project is subjected to grid dividing, boundary condition is established, sets solver
Parameter carries out dynamical property analysis.
The present invention is using the mode that combines with software of experiment, progress rubber viscoelastic mode parameter identification, relatively before side
For method, the method for the present invention is simple, and as a result accurately and reliably, the result error obtained using this method simulation analysis is less than 3%.It is right
Rubber viscoelastic parameter identification and rubber dynamical property analysis play positive meaning.
Detailed description of the invention
Fig. 1 is method flow diagram according to the present invention.
Fig. 2 is that experimental data combination ANSYS recognizes rubber viscoelastic parameter flow chart.
Fig. 3 is to obtain rubber relaxation modulus to change over time data flowchart.
Fig. 4 is that ANSYS fitting experimental data obtains viscoelastic parameter flow chart.
Fig. 5 is application example of the present invention, and obtained rubber viscoelastic parameter is fitted by ANSYS.
Fig. 6 is rubbery sample used in present example and emulation setting example.
Fig. 7 is C01/C10With the relation curve of shore hardness；
Specific embodiment
Specific measures for implementation are provided with reference to the accompanying drawing.
The method of the invention is completed by DMA tester and ANSYS software.
The flow chart of the method for the invention as shown in Figure 1, specifically includes the following steps:
Step 1: establishing the physical model of rubbery sample using ANSYS, and specification is designed according to size of sample used is tested.
Step 2: it establishes rubber superlastic and adds viscoelastic constitutive model.
Step 3: experimental data combination ANSYS carries out viscoelastic parameter identification, and method is as shown in Figure 2.
Step 4: input Parameters of constitutive model, wherein superlastic model parameter is obtained by Fig. 7 relationship, and viscoelastic mode is according to step
Rapid three result is filled in, and grid dividing is carried out, and conditions setting (as shown in Figure 6) is arranged solving condition, carries out the power of rubber
Learn the calculating of characteristic.
The method that experimental data combination ANSYS carries out viscoelastic parameter identification, as shown in Figure 2:
Step 1: it obtains rubber relaxation modulus and changes with time data, method is as shown in Figure 3；
Step 2: ANSYS fitting experimental data obtains viscoelastic parameter, and method is as shown in Figure 4；
It obtains rubber relaxation modulus to change with time data, method is as shown in Figure 3:
Step 1: rubbery sample is formulated according to selected DMA experiment instrument model
Step 2: the actual working environment according to applied by rubber, the condition and range of choice experiment, including temperature, frequency,
Plastic strain amplitude.
Step 3: selection DMA temperature frequency scanning experiment obtains rubber loss modulus, storage modulus, fissipation factor.
Step 4: choosing reference temperature appropriate, analyzes software by DMA and obtains the change of the relaxation modulus of rubber at any time
Change data.
ANSYS fitting experimental data obtains viscoelastic parameter, and method is as shown in Figure 4:
Step 1: being deposited into notepad according to rule for the rubber relaxation modulus data of extraction, name should using English into
Row name；
Step 2: entering ANSYS PRONY CURVE FITTING module, and the data that name is completed import, and adjustment is just
Beginning parameter carries out data fitting；
Step 3: check fitting as a result, initial parameter is adjusted again, until the error of fitting data and experimental data exists
The range of permission；
Step 4: saving and applies, and obtains rubber viscoelastic parameter.
The example that an application present invention calculates certain rubber structure kinetic characteristics is given below.
Fig. 5 is given by ANSYS fitting, experiment relaxation data and fitting relaxation data correlation curve.
Fig. 6 gives the dynamics simulation example that rubbery sample is carried out according to experiment condition.
1 viscoelastic parameter list of table
2 experimental data of table and emulation data comparison
Note: HS represents the hardness of rubber
Table 1 gives the viscoelastic parameter that rubber relaxation modulus data are obtained through ansys Fitting Analysis, and combines Fig. 5 can
Show that the precision of fitting is very high.Dynamical property analysis is carried out using this group of parameter as rubber viscoelastic parameter, analysis obtains
The fissipation factor and experiment gained fissipation factor of rubber are within 3%, as shown in table 2.Therefore the method for the present invention is substantially better than it
Preceding method.
Claims (5)
1. a kind of method for establishing constitutive model using finite element software identification rubber viscoelastic parameter, it is characterised in that: specific packet
Include following steps:
Step 1: establishing the physical model of rubbery sample using ANSYS, and specification is designed according to size of sample used is tested；
Step 2: it establishes rubber superlastic and adds viscoelastic constitutive model；
Step 3: experimental data combination ANSYS carries out viscoelastic parameter identification；
Step 4: input Parameters of constitutive model, viscoelastic mode are filled according to step 3 result, carry out grid dividing, set boundary
Condition is arranged solving condition, carries out the calculating of the kinetic characteristics of rubber.
2. a kind of side for establishing constitutive model using finite element software identification rubber viscoelastic parameter according to claim 1
Method, it is characterised in that: this approach includes the following steps,
1) rubbery sample physical model is established in finite element software；
2) it establishes rubber superlastic and adds viscoelastic constitutive model, wherein superlastic model is carried out using bis- parameter model of Mooney-Rivlin
It indicates, viscoelastic mode is characterized using general Maxwell model, and general Maxwell model is expressed as three-dimensional rheology mould in Ansys
Type, as shown in Equation 1:
In formula: σ is cauchy stress, Pa；G (t) is shear relaxation kernel function；K (t) is volume relaxation kernel function；E is that shear strain is inclined
Amount；Δ is body strain；T is current time, s；τ is process time, s；Wherein:
In formula: G0And K0The respectively shearing at 0 moment and bulk relaxation module, Pa；nG、nKFor PRONY term of a series number；For relative modulus；For slack time, s；WhereinAlso referred to as shear loading coefficient；
Also by for volume response coefficient；
3) experimental data that rubbery sample relaxation modulus changes over time is extracted
According to DMA dynamic thermomechanical to be applied analysis preparation and the same ingredient of studied rubber rubbery sample, in conjunction with reality
The setting of border operating condition progress experiment condition, comprising: experimental temperature, test frequency scanning range, plastic strain amplitude；Selection DMA temperature/
Frequency sweep experiment obtains the loss modulus and storage modulus versus time curve of rubber, by DMA tester software,
The relaxation modulus data versus time curve of rubber is obtained, which has fully demonstrated rubber in frequency and temperature change item
Viscous-elastic behaviour under part；
4) viscoelastic parameter identification is carried out in finite element software
The data that the rubber relaxation modulus of extraction is changed over time are input in the prony curve fitting of ANSYS,
Adjusting coeffvalue initial parameter is 0,1, is fitted, obtains relative modulus and slack time i.e. viscoelastic parameter in formula 2,3；
5) it is based on finite element ANSYS, emulation project is subjected to grid dividing, boundary condition is established, sets solver parameter,
Carry out dynamical property analysis.
3. a kind of side for establishing constitutive model using finite element software identification rubber viscoelastic parameter according to claim 1
Method, it is characterised in that: step 1: the method that experimental data combination ANSYS carries out viscoelastic parameter identification obtains rubber relaxation modulus
Change with time data；
Step 2: ANSYS fitting experimental data obtains viscoelastic parameter.
4. a kind of side for establishing constitutive model using finite element software identification rubber viscoelastic parameter according to claim 1
Method, it is characterised in that: obtain rubber relaxation modulus and change with time data:
Step 1: rubbery sample is formulated according to selected DMA experiment instrument model
Step 2: the actual working environment according to applied by rubber, the condition and range of choice experiment, including temperature, frequency, strain
Amplitude；
Step 3: selection DMA temperature frequency scanning experiment obtains rubber loss modulus, storage modulus, fissipation factor；
Step 4: choosing reference temperature appropriate, analyzes software by DMA and show that the relaxation modulus of rubber changes with time number
According to.
5. a kind of side for establishing constitutive model using finite element software identification rubber viscoelastic parameter according to claim 1
Method, it is characterised in that: ANSYS fitting experimental data obtains viscoelastic parameter,
Step 1: the rubber relaxation modulus data of extraction are deposited into notepad according to rule, name should be ordered using English
Name；
Step 2: entering ANSYS PRONY CURVE FITTING module, and the data that name is completed import, and adjusts initial ginseng
Number carries out data fitting；
Step 3: check fitting as a result, initial parameter is adjusted again, until the error of fitting data and experimental data is allowing
Range；
Step 4: saving and applies, and obtains rubber viscoelastic parameter.
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Cited By (10)
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| CN110008552A (en) * | 2019-03-26 | 2019-07-12 | 北京工业大学 | Consider the reed-type space deployable structure rapid modeling analysis and optimization method of material viscoelasticity |
| CN110006644A (en) * | 2019-04-20 | 2019-07-12 | 北京工业大学 | A method of judging steel-rubber roll structure rubber viscoplasticity influence degree under dynamic rotary operating condition |
| CN110472307A (en) * | 2019-07-29 | 2019-11-19 | 惠州市德赛西威汽车电子股份有限公司 | A kind of display system optical cement removing emulation mode |
| CN111951970A (en) * | 2020-08-07 | 2020-11-17 | 山东大学 | Dentin material biological tissue mechanical property calibration method, system and device |
| CN112182928A (en) * | 2020-09-17 | 2021-01-05 | 中国海洋大学 | Software platform for mechanical property analysis and optimization design of rubber products |
| CN112199823A (en) * | 2020-09-17 | 2021-01-08 | 中国海洋大学 | Numerical prediction method for stress relaxation and damage effects of rubber material |
| CN112199873A (en) * | 2020-10-09 | 2021-01-08 | 青岛科技大学 | Rubber dynamic heat generation calculation method and device |
| CN113239476A (en) * | 2021-04-01 | 2021-08-10 | 中国第一汽车股份有限公司 | Rubber bushing constitutive parameter reverse calibration method based on binomial Mooney-Rivlin model |
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| CN112199873B (en) * | 2020-10-09 | 2024-06-11 | 青岛科技大学 | Dynamic heat generation calculation method and device for rubber |
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| CN110008552B (en) * | 2019-03-26 | 2023-06-02 | 北京工业大学 | Reed type space expandable structure rapid modeling analysis and optimization method considering material viscoelasticity |
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| CN110006644B (en) * | 2019-04-20 | 2021-05-25 | 北京工业大学 | Method for judging rubber viscoelasticity influence degree of steel-rubber roller structure under dynamic rotation working condition |
| CN110006644A (en) * | 2019-04-20 | 2019-07-12 | 北京工业大学 | A method of judging steel-rubber roll structure rubber viscoplasticity influence degree under dynamic rotary operating condition |
| CN110472307A (en) * | 2019-07-29 | 2019-11-19 | 惠州市德赛西威汽车电子股份有限公司 | A kind of display system optical cement removing emulation mode |
| CN111951970A (en) * | 2020-08-07 | 2020-11-17 | 山东大学 | Dentin material biological tissue mechanical property calibration method, system and device |
| CN112182928B (en) * | 2020-09-17 | 2023-04-07 | 中国海洋大学 | Software system for mechanical property analysis and optimization design of rubber products |
| CN112199823B (en) * | 2020-09-17 | 2023-04-07 | 中国海洋大学 | Numerical prediction method for stress relaxation and damage effects of rubber material |
| CN112199823A (en) * | 2020-09-17 | 2021-01-08 | 中国海洋大学 | Numerical prediction method for stress relaxation and damage effects of rubber material |
| CN112182928A (en) * | 2020-09-17 | 2021-01-05 | 中国海洋大学 | Software platform for mechanical property analysis and optimization design of rubber products |
| CN112199873A (en) * | 2020-10-09 | 2021-01-08 | 青岛科技大学 | Rubber dynamic heat generation calculation method and device |
| CN112199873B (en) * | 2020-10-09 | 2024-06-11 | 青岛科技大学 | Dynamic heat generation calculation method and device for rubber |
| CN113239476A (en) * | 2021-04-01 | 2021-08-10 | 中国第一汽车股份有限公司 | Rubber bushing constitutive parameter reverse calibration method based on binomial Mooney-Rivlin model |
| CN113239476B (en) * | 2021-04-01 | 2022-07-19 | 中国第一汽车股份有限公司 | Rubber bushing constitutive parameter reverse calibration method based on binomial Mooney-Rivlin model |
| CN113553706A (en) * | 2021-07-21 | 2021-10-26 | 青岛博锐智远减振科技有限公司 | Method for judging inflection point of conical rubber spring bonding experiment |
| CN113553706B (en) * | 2021-07-21 | 2024-01-19 | 青岛博锐智远减振科技有限公司 | Method for judging inflection point of conical rubber spring adhesion experiment |
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