CN105779755B - A kind of quantitative evaluation methods of effect of vibration stress relief - Google Patents
A kind of quantitative evaluation methods of effect of vibration stress relief Download PDFInfo
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Abstract
Quantitative evaluation methods for effect of vibration stress relief, set up first by multivariate function approximation theory and consider excited frequency f simultaneously, the quantitative evaluation function model of exciting amplitude A and exciting time t, secondly the technological parameter f during oscillating aging is gathered in real time, A, t, and dimensionless processing is carried out to these three technological parameters, then the dimensionless number of these three technological parameters is substituted into quantitative evaluation function model, can online quantitative evaluation be carried out to effect of vibration stress relief, finally based on quantitative evaluation function model, the partial derivative of single technological parameter and the partial derivative of hybrid technique parameter are asked it respectively, disclose the affecting laws of independent action and reciprocation to Relieving Residual Stress in Libration effect of technological parameter.The present invention has the advantages that the online quantitative evaluation of effect of vibration stress relief can be realized with disclosing the affecting laws of independent action and reciprocation to effect of vibration stress relief of technological parameter.
Description
Technical field
The present invention relates to vibration aging technology field, a kind of quantitative evaluation methods of effect of vibration stress relief are refered in particular to.
Technical background
The evaluation of effect of vibration stress relief is one of key issue of vibration aging technology area research, so-called oscillating aging effect
Fruit refers to the effect of Relieving Residual Stress in Libration.The evaluation method of current effect of vibration stress relief mainly includes：Parameter curve
Method, residual stress measurement method and precision stability detection method.(1) parameter curve method：Parameter curve method is according to oscillating aging mistake
The regular variation phenomenon of parameter generation sums up what is come in journey, and the effect of vibration aging technology can comment in linear location
Valency, interpretational criteria used mainly includes：The resonance peak of frequency sweep curve before vibration stress relief treatment than rising after vibration stress relief treatment
It is high；The resonant frequency of frequency sweep curve before vibration stress relief treatment than reducing after vibration stress relief treatment；Frequency sweep is bent after vibration stress relief treatment
Narrow before the bandwidth ratio vibration stress relief treatment of line.(2) residual stress measurement method：Eliminated to accurately evaluate vibration aging technology
The effect of residual stress, it is necessary to assess the residual stress before and after component oscillating aging, but remnants of component inside exactly
The distribution of stress distribution situation, particularly some complex component internal residual stress, is difficult to adopt the method for theoretical calculation
Analysis and solution is carried out, so the residual stress for assessing component inside using the method for experiment measurement has very important reality meaning
Justice.The experimental measurement method of current residual stress mainly includes lossless physical measurement method and the mechanical measurement method damaged, can
The offline residual stress assessed before and after component vibration stress relief treatment.(3) precision stability detection method：Precision stability detection method
It is the effect that vibration aging technology is evaluated by the precision after detection means vibration stress relief treatment, can be to vibration aging technology
Effect qualitatively evaluate offline, mainly including long-term placement precision method, add precision method etc. after dynamic loading.It is long-term to place essence
Degree method is by the long-term placement of component after vibration stress relief treatment and the dimensional stability of periodic detection component, concrete operations
Flow is detected for the first time when placing 15 days, and, total standing time should be more than half a year later detection every 30 days once；
Plus precision method is the change of component dimensional accuracy dynamic load effect after of the detection after vibration stress relief treatment after dynamic loading
Amount.
Although parameter curve method is a kind of online, directly perceived, quickly and easily method, but this method is when can only be to vibration
The effect of effect is qualitatively described, and is unable to the evaluation result of quantitative；Residual stress measurement is owned by France to be commented in offline
Valency method, can only be evaluated timeliness effect after oscillating aging process terminates；Precision stability detection method fall within offline,
Qualitatively evaluation method, and the assessment cycle that this method needs is very long.Although we are it is seen that these methods can be right
The effect of oscillating aging carries out qualitative or quantitative evaluation, but all can not carry out online quantification to the effect of oscillating aging and comment
Valency；Simultaneously technological parameter independent action and reciprocation to the affecting laws of effect of vibration stress relief in existing evaluation method body
It can not all be disclosed in system, this selection for also resulting in Vibration Aging Process parameter lacks the guidance of the criterion of unified standard.
The present invention proposes a kind of quantitative evaluation methods of effect of vibration stress relief, i.e., based on the theoretical oscillating aging effect of multivariate function approximation
The quantitative evaluation methods of fruit, this method can carry out online quantitative evaluation to effect of vibration stress relief, can disclose technique ginseng
The affecting laws of several independent action and reciprocation to effect of vibration stress relief.
The content of the invention
In order to which the evaluation method for overcoming existing effect of vibration stress relief can not realize the online quantitative evaluation of effect of vibration stress relief
With the independent action and reciprocation of technological parameter to the affecting laws of effect of vibration stress relief in existing evaluation method system
The deficiency disclosed can not be all able to, the present invention proposes a kind of quantitative evaluation methods of effect of vibration stress relief, i.e., based on polynary letter
The quantitative evaluation methods of the effect of vibration stress relief of number approximation theory.
For the quantitative evaluation methods of effect of vibration stress relief, comprise the following steps：
(1) technological parameter of influence Relieving Residual Stress in Libration effect, is determined, mainly includes excited frequency f, exciting
Amplitude A and exciting time t, these three technological parameters are the inputs of quantitative evaluation function model；Vibration aging on eliminating is residual
The effect F of residue stress is the output end of quantitative evaluation function model；Setting up quantitative evaluation function model F, (f, A t), that is, are built
Vertical technological parameter input and the quantitative evaluation function model of effect of vibration stress relief output end.
(2) it is theoretical using multivariate function approximation, by the multinomial function of f, A and t these three technological parameters composition
Approach set up out quantitative evaluation function model F (f, A, t).
(3), excited frequency f unit be kHz, exciting amplitude A unit for μm, exciting time t unit be min, be
The influences of the different dimensions of elimination, defines following three dimensionless variable：Dimensionless excited frequencyDimensionless swashs
AmplitudeThe dimensionless exciting timeWherein f0For 1kHz, A0For 1 μm, t0For 1min.
(4), (f, A can t) be approached quantitative evaluation function model F with following multinomial：In formula：a1、a2、…、a11For real coefficient,
Wherein a11For the constant term of equation.
(5), when sample is without vibration stress relief treatment, i.e., when the value of three technological parameters is 0, the remnants of sample should
Power eradicating efficacy should be 0, so constant term a11=0.Therefore, quantitative evaluation function model can be further represented as：
(6), the effect of vibration stress relief F by 10 groups of different dimensionless combination of process parameters and corresponding to them substitutes into fixed
Quantitatively evaluating function model can be obtained on undetermined coefficient a1、a2、…、a1010 yuan of 1 equation of n th order n group, by solving this equation
Group can solve the numerical value of this 10 undetermined coefficients.This 10 yuan of 1 equation of n th order n group can be expressed as using the form of matrix：
It can be further represented as：Ga=F.
In formula：For dimensionless combination of process parameters matrix, the i-th row in the matrix
The combination multinomial of dimensionless technological parameter during expression ith vibration stress relief treatment；F=[Fi] be oscillating aging effect square
Battle array；A=[ai] it is undetermined coefficient matrix.
(7), in order to solve 10 undetermined coefficients, 10 groups of different experimental datas are at least needed, in order that obtaining step (6)
In matrix equation have unique solution, then dimensionless combination of process parameters matrix G order should meet r (G)=10, i.e. dimensionless work
Skill parameter combination matrix should be non-singular matrix.Therefore, undetermined coefficient can be solved by following matrix equation and obtained：
By solve 10
The quantitative evaluation function model that undetermined coefficient is substituted into step (5), you can with set up out quantitative evaluation function model F (f,
A,t)。
(8), technological parameter f, A, t in real time during collection oscillating aging, and these three technological parameters are carried out immeasurable
Guiding principle processing, then substitutes into the quantitative evaluation function model that step (7) is set up by the dimensionless number of these three technological parameters,
Can online quantitative evaluation be carried out to effect of vibration stress relief；The quantitative evaluation Function Modules set up simultaneously with step (7)
Based on type, partial derivative of single technological parameter and the partial derivative of hybrid technique parameter are asked it respectively, disclose technological parameter
The affecting laws of independent action and reciprocation to Relieving Residual Stress in Libration effect.
Described multinomial function includes：Single factor test first order f, A and t, represent that each technological parameter is independent respectively
Influence to effect of vibration stress relief；Single factor test quadratic term f2、A2And t2, quadratic term and the vibration of each technological parameter are represented respectively
Interactively between timeliness effect；Confounding factor quadratic term fA, ft and At, represent any two in three technological parameters respectively
Influence of the reciprocation to effect of vibration stress relief between individual parameter；Confounding factor cubic term fAt, represents all three technique ginsengs
Influence of the reciprocation to effect of vibration stress relief between number.
Described single technological parameter or the partial derivative of hybrid technique parameter be on the occasion of, then it represents that vibration aging on eliminating is remaining
The effect of stress is improved with the increase of single technological parameter or hybrid technique parameter.
Described single technological parameter or the partial derivative of hybrid technique parameter are negative value, then it represents that vibration aging on eliminating is remaining
The effect of stress is reduced with the increase of single technological parameter or hybrid technique parameter.
Described single technological parameter or the absolute value of the partial derivative of hybrid technique parameter are bigger, then it represents that single technique ginseng
Number or hybrid technique parameter are bigger to the influential effect of Relieving Residual Stress in Libration.
The present invention technical concept be：Set up first by multivariate function approximation theory and consider excited frequency f, exciting simultaneously
The quantitative evaluation function model of amplitude A and exciting time t, secondly gathers the technological parameter f during oscillating aging in real time,
A, t, and dimensionless processing is carried out to these three technological parameters, then the dimensionless number of these three technological parameters is substituted into quantitative
Change evaluation function model, you can to carry out online quantitative evaluation to effect of vibration stress relief, finally with quantitative evaluation Function Modules
Based on type, partial derivative of single technological parameter and the partial derivative of hybrid technique parameter are asked it respectively, disclose technological parameter
The affecting laws of independent action and reciprocation to Relieving Residual Stress in Libration effect.
The beneficial effects of the invention are as follows:
1st, it can be set up by multivariate function approximation theory while considering excited frequency f, exciting amplitude A and exciting time
T quantitative evaluation function model, can realize and carry out online quantitative evaluation to effect of vibration stress relief.
2nd, based on quantitative evaluation function model, the partial derivative and hybrid technique of single technological parameter is sought it respectively
The partial derivative of parameter, can disclose the independent action and reciprocation of technological parameter to Relieving Residual Stress in Libration effect
Affecting laws.
Brief description of the drawings
The schematic diagram of Fig. 1 quantitative evaluation function models
The scale diagrams of Fig. 2 Cr12MoV steel curved beams
Embodiment
Referring to the drawings, the present invention is further illustrated：
For the quantitative evaluation methods of effect of vibration stress relief, comprise the following steps：
(1) technological parameter of influence Relieving Residual Stress in Libration effect, is determined, mainly includes excited frequency f, exciting
Amplitude A and exciting time t, these three technological parameters are the inputs of quantitative evaluation function model；Vibration aging on eliminating is residual
The effect F of residue stress is the output end of quantitative evaluation function model；Setting up quantitative evaluation function model F, (f, A t), that is, are built
Vertical technological parameter input and the quantitative evaluation function model of effect of vibration stress relief output end.
Specifically implementation detail is：Quantitative evaluation function model schematic diagram such as Fig. 1 of Relieving Residual Stress in Libration
It is shown.As can be known from Fig. 1, the technological parameter of influence Relieving Residual Stress in Libration effect mainly includes excited frequency f, exciting
Amplitude A and exciting time t, these three technological parameters are the inputs of quantitative evaluation function model, and vibration aging on eliminating is residual
The effect F of residue stress is the output end of quantitative evaluation function model.It is contemplated that setting up quantitative evaluation function model F
(f, A, t), to evaluate it is determined that the effect F of the Relieving Residual Stress in Libration under the conditions of combination of process parameters, that is, set up
Technological parameter input and the quantitative evaluation function model of effect of vibration stress relief output end.
Assuming that (f, A, domain of definition t) is bounded closed region D to function F, and is real-valued continuous function in the D of the region.P1
(f,A,t)、P2(f,A,t)、…、Pk(f, A are t) that the real-valued continuous function of k linear independence being defined on D (is usually taken to be
Multinomial function), wherein by P1(f,A,t)、P2(f,A,t)、…、Pk(f, A t) combine the linear space P made and claimed
For linear interpolation space, then arbitrary function can be expressed as in P：P(f,A,t)α1P1(f,A,t)+α2P2(f,A,t)+…+αkPk(f, A, t), in formula：α1、α2、…、αkFor real coefficient.It can be seen from Weierstrass approximation theorems, if function P (f, A, t)
Can for approximating function F (f, A, t), then for any given ε, have | F (f, A, t)-P (f, A, t) | ＜ ε, wherein f, A, t
∈D.Therefore, it is contemplated that by the multinomial function of f, A and t these three technological parameters composition, using the function of many variables
Approximation theory approach set up out quantitative evaluation function model F (f, A, t).
(2) it is theoretical using multivariate function approximation, by the multinomial function of f, A and t these three technological parameters composition
Approach set up out quantitative evaluation function model F (f, A, t).
(3), excited frequency f unit be kHz, exciting amplitude A unit for μm, exciting time t unit be min, be
The influences of the different dimensions of elimination, defines following three dimensionless variable：Dimensionless excited frequencyDimensionless swashs
AmplitudeThe dimensionless exciting timeWherein f0For 1kHz, A0For 1 μm, t0For 1min.
(4), (f, A can t) be approached quantitative evaluation function model F with following multinomial：In formula：a1、a2、…、a11For real coefficient,
Wherein a11For the constant term of equation.
(5), when sample is without vibration stress relief treatment, i.e., when the value of three technological parameters is 0, the remnants of sample should
Power eradicating efficacy should be 0, so constant term a11=0.Therefore, quantitative evaluation function model can be further represented as：
(6), the effect of vibration stress relief F by 10 groups of different dimensionless combination of process parameters and corresponding to them substitutes into fixed
Quantitatively evaluating function model can be obtained on undetermined coefficient a1、a2、…、a1010 yuan of 1 equation of n th order n group, by solving this equation
Group can solve the numerical value of this 10 undetermined coefficients.This 10 yuan of 1 equation of n th order n group can be expressed as using the form of matrix：
It can be further represented as：Ga=F.
In formula：For dimensionless combination of process parameters matrix, the i-th row in the matrix
The combination multinomial of dimensionless technological parameter during expression ith vibration stress relief treatment；F=[Fi] be oscillating aging effect square
Battle array；A=[ai] it is undetermined coefficient matrix.
(7), in order to solve 10 undetermined coefficients, 10 groups of different experimental datas are at least needed, in order that obtaining step (6)
In matrix equation have unique solution, then dimensionless combination of process parameters matrix G order should meet r (G)=10, i.e. dimensionless work
Skill parameter combination matrix should be non-singular matrix.Therefore, undetermined coefficient can be solved by following matrix equation and obtained：
Solve 10 are treated
Determine the quantitative evaluation function model that coefficient is substituted into step (5), you can with set up out quantitative evaluation function model F (f, A,
t)。
Specifically implementation detail is：In order to obtain the experimental data set up needed for quantitative evaluation function model, to Fig. 2 institutes
The sample shown carries out vibration stress relief treatment.10 in quantitative evaluation function model in order to solve step (5) foundation
Individual undetermined coefficient, it is necessary to select 10 groups of different experimental datas, and dimensionless combination of process parameters matrix is necessary for non-singular matrix,
I.e. dimensionless combination of process parameters rank of matrix is 10.In view of there is certain error in experimental data test process, in order to
Improving the quantitative evaluation function model set up out has higher reliability and generality, and choosing 11 groups of experimental datas is used to build
Halt quantitatively evaluating function model.Choosing 10 groups therein from 11 groups of experimental datas successively is used to construct dimensionless technological parameter
Combinatorial matrix G, and provide rj(G) to remove after the jth group data in 11 groups of experimental datas, the dimensionless technique ginseng constructed
Number combinatorial matrix G order, j=1~11.Calculate constructed dimensionless work successively using the rank functions in Matlab softwares
Skill parameter combination matrix G order, if solving result meets r1(G)=r2(G)=...=r11(G)=10, the then reality of description selection
Test data to can be used for solving 11 groups of undetermined coefficients, if solving result is unsatisfactory for r1(G)=r2(G)=...=r11(G)=10
During this condition, then need to reselect experimental data.
Solve 10 undetermined coefficients during, first every time chosen from 11 groups of experimental datas 10 set constructor therein without
Dimension combination of process parameters matrix G；Secondly dimensionless combination of process parameters square is solved using the inv functions in Matlab softwares
Battle array G inverse matrix G-1, and by matrix G in Matlab softwares-1Being multiplied with the effect matrix F of oscillating aging can solve
Undetermined coefficient matrix, can so obtain 11 groups of different undetermined coefficients；Then it is taken to be averaged respectively this 11 groups of undetermined coefficients
It is worth the undetermined coefficient as quantitative evaluation function model；The average of these undetermined coefficients is finally substituted into what step (5) was set up
Quantitative evaluation function model is that can obtain quantitative evaluation function model.
Table 1 is used for the dimensionless technological parameter and timeliness effect for calculating undetermined coefficient matrix
The each group dimensionless technological parameter of table 2 and its corresponding multinomial numerical value
11 groups of undetermined coefficients are solved using the method described in step (7), 3 are the results are shown in Table.Last of table 3 is classified as 11 groups and treated
Determine the average of coefficient, the average of these undetermined coefficients is substituted into the quantitative evaluation function model that step (5) is set up, then finally built
Vertical quantitative evaluation function model can be expressed as：
The numerical value for each group undetermined coefficient that table 3 is solved
(8), technological parameter f, A, t in real time during collection oscillating aging, and these three technological parameters are carried out immeasurable
Guiding principle processing, then substitutes into the quantitative evaluation function model that step (7) is set up by the dimensionless number of these three technological parameters,
Can online quantitative evaluation be carried out to effect of vibration stress relief；The quantitative evaluation Function Modules set up simultaneously with step (7)
Based on type, partial derivative of single technological parameter and the partial derivative of hybrid technique parameter are asked it respectively, disclose technological parameter
The affecting laws of independent action and reciprocation to Relieving Residual Stress in Libration effect.
Described multinomial function includes：Single factor test first order f, A and t, represent that each technological parameter is independent respectively
Influence to effect of vibration stress relief；Single factor test quadratic term f2、A2And t2, quadratic term and the vibration of each technological parameter are represented respectively
Interactively between timeliness effect；Confounding factor quadratic term fA, ft and At, represent any two in three technological parameters respectively
Influence of the reciprocation to effect of vibration stress relief between individual parameter；Confounding factor cubic term fAt, represents all three technique ginsengs
Influence of the reciprocation to effect of vibration stress relief between number.
Described single technological parameter or the partial derivative of hybrid technique parameter be on the occasion of, then it represents that vibration aging on eliminating is remaining
The effect of stress is improved with the increase of single technological parameter or hybrid technique parameter.
Described single technological parameter or the partial derivative of hybrid technique parameter are negative value, then it represents that vibration aging on eliminating is remaining
The effect of stress is reduced with the increase of single technological parameter or hybrid technique parameter.
Described single technological parameter or the absolute value of the partial derivative of hybrid technique parameter are bigger, then it represents that single technique ginseng
Number or hybrid technique parameter are bigger to the influential effect of Relieving Residual Stress in Libration.
Specifically implementation detail is：Technological parameter f, A, t during collection oscillating aging, and to these three techniques in real time
Parameter carries out dimensionless processing, and the dimensionless number of these three technological parameters then is substituted into the quantification that step (7) is set up
Evaluation function model, you can to carry out online quantitative evaluation to effect of vibration stress relief.
By quantitative evaluation function model respectively to dimensionless excited frequencyDimensionless exciting amplitudeSwash with dimensionless
Shake the timePartial derivative is sought, and the average undetermined coefficient in table 3 is substituted into the expression formula of partial derivative, quantification can be solved
Partial derivative expression formula of the evaluation function model to independent process parameter
By the 11 groups of dimensionless technological parameters and its polynomial value in table 2 substitute into respectively partial derivative expression formula (1), (2),
(3) calculated in, the results are shown in Table last column in 4, table is the equal of the concrete numerical value of the partial derivative of each independent process parameter
Value.From table 4 it was found from the average of the partial derivative of last column,WithIt is just
Value, shows that, with excited frequency f, exciting amplitude A and exciting time t increase, the effect of Relieving Residual Stress in Libration is got over
Significantly.It is also found that the average of the partial derivative of these three independent process parameters meets following relation from table 4
Show the effect of oscillating aging is influenceed maximum by excited frequency f, next to that exciting amplitude A, by exciting time t's
Influence is minimum.
Concrete numerical value and average of the quantitative evaluation function model of table 4 to the partial derivative of each independent process parameter
Quantitative evaluation function model is sought into three technological parameters second-order mixed partial derivative respectively, and will be flat in table 3
Equal undetermined coefficient is substituted into the expression formula of partial derivative, can solve quantitative evaluation function model to the inclined of hybrid technique parameter
Derivative expressions
By the 11 groups of dimensionless technological parameters and its polynomial value in table 2 substitute into respectively partial derivative expression formula (5), (6),
(7) calculated in, the results are shown in Table last column in 5, table is the equal of the concrete numerical value of the mixed partial derivative of three technological parameters
Value.
Concrete numerical value and average of the quantitative evaluation function model of table 5 to the mixed partial derivative of technological parameter
From table 5 it was found from the average of the partial derivative of last column,WithBe on the occasion of, andFor negative value, show excited frequency f and reciprocation, excited frequency f and the exciting time t of exciting amplitude A friendship
Interaction is all conducive to improving the effect of Relieving Residual Stress in Libration, and exciting amplitude A and exciting time t reciprocation
It is unfavorable for improving the effect of Relieving Residual Stress in Libration.It is also found that the second order mixing of three technological parameters from table 5
The absolute value of partial derivative meets following relation
Show the effect of oscillating aging is influenceed maximum by excited frequency f and the interactive of exciting amplitude A, next to that swashing
Vibration frequency f and exciting time t reciprocation, minimum is influenceed by exciting amplitude A and the interactive of exciting time t.
Content described in this specification embodiment is only enumerating to the way of realization of inventive concept, protection of the invention
Scope is not construed as being only limitted to the concrete form that embodiment is stated, protection scope of the present invention is also and in art technology
Personnel according to present inventive concept it is conceivable that equivalent technologies mean.
Claims (5)
1. for the quantitative evaluation methods of effect of vibration stress relief, comprise the following steps：
(1) technological parameter of influence Relieving Residual Stress in Libration effect, is determined, mainly includes excited frequency f, exciting amplitude
A and exciting time t, these three technological parameters are the inputs of quantitative evaluation function model；Vibration aging on eliminating remnants should
The effect F of power is the output end of quantitative evaluation function model；Setting up quantitative evaluation function model F, (f, A t), that is, set up work
The quantitative evaluation function model of skill parameter input end and effect of vibration stress relief output end；
(2), by the multinomial function of f, A and t these three technological parameters composition, approached using multivariate function approximation theory
Set up out quantitative evaluation function model F (f, A, t)；
(3), excited frequency f unit be kHz, exciting amplitude A unit for μm, exciting time t unit be min, in order to disappear
Except the influence of different dimensions, following three dimensionless variable is defined：Dimensionless excited frequencyDimensionless exciting shakes
WidthThe dimensionless exciting timeWherein f0For 1kHz, A0For 1 μm, t0For 1min；
(4), (f, A t) are approached quantitative evaluation function model F with following multinomial：In formula：a1、a2、…、a11For real coefficient,
Wherein a11For the constant term of equation；
(5), when sample is without vibration stress relief treatment, i.e., when the value of three technological parameters is 0, the residual stress of sample disappears
Except effect should be 0, so constant term a11=0, therefore, quantitative evaluation function model is further represented as：
(6), the effect of vibration stress relief F by 10 groups of different dimensionless combination of process parameters and corresponding to them substitutes into quantification
Evaluation function model can be obtained on undetermined coefficient a1、a2、…、a1010 yuan of 1 equation of n th order n group, by solving this equation group i.e.
The numerical value of this 10 undetermined coefficients can be solved, this 10 yuan of 1 equation of n th order n group is expressed as in the form of matrix：
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It is further represented as：Ga=F,
In formula：For dimensionless combination of process parameters matrix, the i-th row in the matrix is represented
The combination multinomial of dimensionless technological parameter during ith vibration stress relief treatment；F=[Fi] be oscillating aging effect matrix；a
=[ai] it is undetermined coefficient matrix；
(7), in order to solve 10 undetermined coefficients, 10 groups of different experimental datas are at least needed, in order that obtaining in step (6)
Matrix equation has unique solution, then dimensionless combination of process parameters matrix G order should meet r (G)=10, i.e. dimensionless technique and join
Number combinatorial matrix should be non-singular matrix, therefore, and undetermined coefficient is solved by following matrix equation and obtained：
By solve 10 systems undetermined
The quantitative evaluation function models that number is substituted into steps (5), you can with set up out quantitative evaluation function model F (f, A, t)；
(8), technological parameter f, A, t in real time during collection oscillating aging, and these three technological parameters are carried out at dimensionless
Reason, then substitutes into the quantitative evaluation function model that step (7) is set up by the dimensionless number of these three technological parameters, you can
To carry out online quantitative evaluation to effect of vibration stress relief；The quantitative evaluation function model set up simultaneously using step (7) as
Basis, asks it partial derivative of single technological parameter and the partial derivative of hybrid technique parameter respectively, discloses the independence of technological parameter
The affecting laws of effect and reciprocation to Relieving Residual Stress in Libration effect.
2. it is used for the quantitative evaluation methods of effect of vibration stress relief as claimed in claim 1, it is characterised in that：Described is polynary
Polynomial function includes：Single factor test first order f, A and t, represent shadow of each technological parameter individually to effect of vibration stress relief respectively
Ring；Single factor test quadratic term f2、A2And t2, the effect between the quadratic term of each technological parameter and effect of vibration stress relief is represented respectively
Relation；Confounding factor quadratic term fA, ft and At, represent the interaction work between any two parameter in three technological parameters respectively
With the influence to effect of vibration stress relief；Confounding factor cubic term fAt, represents the reciprocation pair between all three technological parameters
The influence of effect of vibration stress relief.
3. it is used for the quantitative evaluation methods of effect of vibration stress relief as claimed in claim 1, it is characterised in that：Described is single
Technological parameter or the partial derivative of hybrid technique parameter be on the occasion of, then it represents that the effect of Relieving Residual Stress in Libration is with single
The increase of technological parameter or hybrid technique parameter and improve.
4. it is used for the quantitative evaluation methods of effect of vibration stress relief as claimed in claim 1, it is characterised in that：Described is single
Technological parameter or the partial derivative of hybrid technique parameter are negative value, then it represents that the effect of Relieving Residual Stress in Libration is with single
The increase of technological parameter or hybrid technique parameter and reduce.
5. it is used for the quantitative evaluation methods of effect of vibration stress relief as claimed in claim 1, it is characterised in that：Described is single
The absolute value of technological parameter or the partial derivative of hybrid technique parameter is bigger, then it represents that single technological parameter or hybrid technique parameter pair
The influential effect of Relieving Residual Stress in Libration is bigger.
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