CN106289492B - A kind of counterweight magnitude component combination checking method - Google Patents
A kind of counterweight magnitude component combination checking method Download PDFInfo
- Publication number
- CN106289492B CN106289492B CN201610645617.8A CN201610645617A CN106289492B CN 106289492 B CN106289492 B CN 106289492B CN 201610645617 A CN201610645617 A CN 201610645617A CN 106289492 B CN106289492 B CN 106289492B
- Authority
- CN
- China
- Prior art keywords
- counterweight
- tested
- compare
- combination
- value
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01G—WEIGHING
- G01G23/00—Auxiliary devices for weighing apparatus
- G01G23/01—Testing or calibrating of weighing apparatus
Landscapes
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Forklifts And Lifting Vehicles (AREA)
- Jib Cranes (AREA)
Abstract
The present invention discloses a kind of counterweight magnitude component combination checking method, and the counterweight magnitude component combination checking method provided by using invention is based on a standard test weight and is compared with a whole set of tested counterweight, is detected counterbalance mass value according to standard test weight value calibration.This method requires to carry out multiple measurement to the counterweight of each specification.During measurement, it is identical as standard test weight nominal value to be detected counterweight combination nominal value, while measuring the number that equation number will be more than unknown counterweight.The advantages of the method is to improve measurement results reliability containing extra measurement, measurement result uncertainty is improved, to obtain accurate testing result.
Description
Technical field
The present invention relates to fields of measurement more particularly to a kind of counterweight magnitude component combination checking methods.
Background technique
Counterweight is the counterweight used for example in calibration authority or in corresponding certified company as standard test weight, with
Just scale, especially precision steelyard are verified, or other counterweights of more low accuracy grade is calibrated.
The accuracy of counterweight is limited by so-called accuracy class.These accuracy class, which have determined, respectively to be allowed
Worst error.Accuracy class is divided into nine grades, wherein grade E1It is most accurate counterweight grade, and grade M3It is most
Inaccurate counterweight grade.In the counterweight amount of progress biography to each other, high-grade counterweight magnitude is conclusive always, that is,
It says, a counterweight connects after the counterweight of higher accuracy class and is compared therewith and obtains its magnitude.In view of this
Benchmark be international prototype kilogram, i.e., it is original kilogram so-called.The international prototype kilogram indicates mass metrology unit.It is by platinoiridita
Cylindrical body is constituted, and is stored in the BIPM near Paris.By different duplicate, it is followed of at this original kilogram
National weight standard, and after which finally followed by the counterweight of accuracy class E1, which is followed by more again
The benchmark of the counterweight of low accuracy class.
Counterweight amount biography extremely carefully must be saved and be operated.Counterweight for example cannot be taken or be touched with hand, this is because
This, which inevitably leads to examine on counterweight, deposit, this may cause again aoxidizes on the surface for examining counterweight, and
And it therefore will lead to the change of counterweight value naturally.Even dust granule does not also allow to be attached on this inspection counterweight.
There are different so-called counterweight groups, the counterweight with different stage, such as 1 gram, 2 grams, 5 grams, 10 grams, 20
Gram, 50 grams, 100 grams, 200 grams, 500 grams.
What China generallyd use have 5,2,2*, 1 combination；Namely 5 grams, 2 grams, 2 grams, 1 gram；Or 5 milligrams, 2 milligrams,
2 milligrams, 1 milligram；And so on.
Most of counterweight detection device domestic at present is all detection manually, is intervened by personnel enterprising in mass comparator
Row quality Determination.When especially carrying out the calibrating of counterweight component combination, the personnel of being all made of are had been manually done.However, this manual
The error that detection device is generated in operation due to operator, or misread data and caused by error can seriously affect inspection
Determine result.Especially milligram group counterweight because milligram group counterweight is to be bent to form by wire by specific shape, volume compared with
It is small, it is very easy to that counterweight is caused to deform when operator is clamped with clip, to influence the detection of counterweight, and milligram group weight
Code is usually to be detected on the high-precision comparator of thousand a ten thousandths, and any subtle personal error can seriously affect
Verification result.
In the prior art, there are one-to-one comparison method and combination comparison method to the calibration method of counterweight in the prior art, however
The transmitting E2 grade milligram group counterweight of E1 grade specified in China JJG99-2006 " weight detecting regulation " is must be using combination
What comparison method was detected.But this automatic detection device using combination comparison method measure when, be counterweight is carried out it is flat
It is placed on comparator to paving formula, in this way since position of the combination counterweight on comparator is different, uneven loading error will be introduced, so
And the presence of uneven loading error will affect final verification result.
Summary of the invention
In order to overcome the deficiencies in the prior art described above, the object of the present invention is to provide a kind of counterweight magnitude component groups
Checking method is closed, the standard test weight and tested counterweight of following nominal value are selected:
--- standard test weight A:1 × 10n, wherein n=1,2,3 or -1, -2, -3, unit g；
--- tested counterweight B:(5,2,2*, 1) × 10n-1, wherein n=1,2,3 or -1, -2, -3, unit g；
--- check standard counterweight C:1* × 10n-1, wherein n=1,2,3 or -1, -2, -3, unit g；
Wherein, verification step includes:
1) standard test weight A (1 × 10n) and tested counterweight B [(5+2+2*+1) × 10n-1] combination compare on relatively instrument
Compared with obtaining difference DELTA m1；
2) standard test weight A (1 × 10n) and tested counterweight B [(5+2+2*) × 10n-1]+C(1*×10n-1) combination than
Compared with comparing on instrument, difference DELTA m2 is obtained；
3) it is detected counterweight B (5 × 10n-1) and tested counterweight B [(2+2*+1) × 10n-1] combination compare on relatively instrument
Compared with obtaining difference DELTA m3；
4) it is detected counterweight B (5 × 10n-1) and tested counterweight B [(2+2*) × 10n-1]+C(1*×10n-1) combination comparing
Compare on instrument, obtains difference DELTA m4；
5) it is detected counterweight B (2+1) × 10n-1Combination and (2* × 10 tested counterweight Bn-1)+C(1*×10n-1) combination exist
Compare and compare on instrument, obtains difference DELTA m5；
6) it repeats, is detected counterweight B [(2+1) × 10n-1] combination and (2* × 10 tested counterweight Bn-1)+C(1*×10n-1)
Combination compare on relatively instrument, obtain difference DELTA m6；
7) it is detected counterweight B (2 × 10n-1)+C(1*×10n-1) combination and tested counterweight B [(2*+1) × 10n-1] combination exist
Compare and compare on instrument, obtains difference DELTA m7；
8) it repeats, is detected counterweight B (2 × 10n-1)+C(1*×10n-1) combination and tested counterweight B (2*+1) × 10n-1's
Combination is compared on relatively instrument, obtains difference DELTA m8；
9) it is detected counterweight B (2 × 10n-1) and (1* × 10 tested counterweight Cn-1)+B(1×10n-1) combination in relatively instrument
Upper comparison obtains difference DELTA m9；
10) it is detected counterweight B (2 × 10n-1) and (1* × 10 tested counterweight Cn-1)+B(1×10n-1) combination in relatively instrument
Upper comparison obtains difference DELTA m10；
11) (2* × 10 counterweight B are detectedn-1) and (1* × 10 tested counterweight Cn-1)+B(1×10n-1) combination in comparator
Compare on device, obtains difference DELTA m11；
12) (2* × 10 counterweight B are detectedn-1) and (1* × 10 tested counterweight Cn-1)+B(1×10n-1) combination in comparator
Compare on device, obtains difference DELTA m12；
Obtain following measurement pattern:
| Standard test weight A | Compare | 5+2+2*+1 |
| Standard test weight A | Compare | 5+2+2*+C |
| 5 | Compare | 2+2*+1 |
| 5 | Compare | 2+2*+C |
| 2+1 | Compare | 2*+C |
| 2+1 | Compare | 2*+C |
| 2+C | Compare | 2*+1 |
| 2+C | Compare | 2*+1 |
| 2 | Compare | 1+C |
| 2 | Compare | 1+C |
| 2* | Compare | 1+C |
| 2* | Compare | 1+C |
If: mAFor standard test weight A mass value, standard test weight A is known standard value；
x1Tested counterweight (5) mass value；
x2Tested counterweight (2) mass value；
x3Tested counterweight (2*) mass value；
x4Tested counterweight (1) mass value；
x5Check standard counterweight C mass value；
It can obtain two groups of linear equations:
By parsing above-mentioned two equation, x can be obtained1、x2、x3、x4、x5Numerical value is to get to tested counterweight 5,2,2*, 1
Actual amplitudes；
Wherein first list the augmented matrix of equation:
The augmented matrix P of equation one:
The augmented matrix Q of equation two:
Augmented matrix P and Q are parsed, produce one " row echelon form " using Gaussian elimination method；Echelon matrix
Acquisition means that unknown number acquires solution, also just obtains the magnitude of tested counterweight；
By the parsing to matrix P and Q, following echelon matrix is obtained:
To obtain the numerical value of more high precision, usually taking the average value of two groups of numerical value is final result, that is, takes the flat of two matrixes
Mean value is final result matrix, it may be assumed that
Tested counterbalance mass correction value is obtained in this way:
11=mc5=(2mcA+Δm1+Δm2-Δm3-Δm4)/4
x2=mc2=(2mcA+Δm1+Δm2+Δm3+Δm4-Δm5-Δm6-Δm7-Δm8-Δm9-Δm10)/10
x3=mc2*=(2mcA+Δm1+Δm2+Δm3+Δm4+Δm5+Δm6+Δm7+Δm8-Δm11-Δm12)/10
x4=mc1=(2mcA+Δm1+Δm2+Δm3+Δm4-Δm5-Δm6+4Δm7+4Δm7-Δm9-Δm10+5Δm11
+5Δm12)/20
x5=mcC=(2mcA+Δm1+Δm2+Δm3+Δm4+4Δm5-4Δm6-Δm7-Δm8-Δm9-Δm10+5Δm11
+5Δm12)/20
The tested counterweight magnitude being calculated such as is included in next counterweight to measure, simplified processing can be done by above-mentioned, it may be assumed that
By
The numerical value of the check standard counterweight of every serial counterweight group can be obtained；
Due to 5 in the series counterweight, 2,2*, 1 be tested counterweight B, and check standard counterweight C is the core of known quality value
Standard is looked into, therefore after a series is finished, the C mass value being calculated can be compared with its mass value, to obtain
The correctness of the series data；
The uncertainty of measurement result is determined again；
If: mAFor standard test weight A mass value, standard test weight A is known standard value；
x1- it is detected counterweight (5) mass value；
x2- it is detected counterweight (2) mass value；
x3- it is detected counterweight (2*) mass value；
x4- it is detected counterweight (1) mass value；
x5- check standard counterweight C mass value；
Pass through a pair of four linear mathematical models:
Determine quality difference value Δ m are as follows:
Due to measure be completed on the same weighing apparatus, so quality difference value introduce uncertainty be it is identical,
Its expanded uncertainty is to measure instrument section half-breadth, and obedience is uniformly distributed, it may be assumed that
Then:
As can be seen from the above technical solutions, the invention has the following advantages that
One standard test weight is based on by using the counterweight magnitude component combination checking method that invention provides and a whole set of is tested
Counterweight is compared, and is detected counterbalance mass value according to standard test weight value calibration.This method require to the counterweight of each specification into
The multiple measurement of row.During measurement, it is identical as standard test weight nominal value to be detected counterweight combination nominal value, while measuring equation
Number will be more than the number of unknown counterweight.The advantages of the method, is to improve measurement results reliability containing extra measurement, mention
High measurement result uncertainty, to obtain accurate testing result.
Detailed description of the invention
In order to illustrate more clearly of technical solution of the present invention, attached drawing needed in description will be made below simple
Ground introduction, it should be apparent that, drawings in the following description are only some embodiments of the invention, for ordinary skill
For personnel, without creative efforts, it is also possible to obtain other drawings based on these drawings.
Fig. 1 is counterweight magnitude component combination checking method provided by the invention and JJG99-2006 " counterweight " regulation test method
The comparison of measurement result uncertainty.
Specific embodiment
It in order to make the invention's purpose, features and advantages of the invention more obvious and easy to understand, below will be with specific
Examples and drawings, the technical solution protected to the present invention are clearly and completely described, it is clear that implementation disclosed below
Example is only a part of the embodiment of the present invention, and not all embodiment.Based on the embodiment in this patent, the common skill in this field
Art personnel all other embodiment obtained without making creative work belongs to the model of this patent protection
It encloses.
A kind of counterweight magnitude component combination checking method provided by the invention, the present invention are to be based on a pair of four component combination methods,
So-called a pair of four component combinations method is design measurement sequence compared with a standard test weight is combined with the tested counterweight that highest number is four
Column and mathematical model, by known standard test weight magnitude and standard test weight be detected the comparison difference for combining counterweight, obtain the whole series
The practical reduced mass value of counterweight.It is combined due to being a standard test weight with the counterweight that highest number of combinations is four, therefore this side
Method is known as a pair of four component combination checking methods.
In the present embodiment, the standard test weight and tested counterweight of following nominal value are selected:
--- standard test weight A:1 × 10n, wherein n=1,2,3 or -1, -2, -3, unit g；
--- tested counterweight B:(5,2,2*, 1) × 10n-1, wherein n=1,2,3 or -1, -2, -3, unit g；
--- check standard counterweight C:1* × 10n-1, wherein n=1,2,3 or -1, -2, -3, unit g；
Wherein, citing is compared with the counterweight combination of n=1, standard test weight A (10), check standard counterweight C are check standard weight
Code 1*.
Share following operating procedure:
Wherein, verification step includes:
1) standard test weight A (1 × 10n) and tested counterweight B [(5+2+2*+1) × 10n-1] combination compare on relatively instrument
Compared with obtaining difference DELTA m1；
2) standard test weight A (1 × 10n) and tested counterweight B [(5+2+2*) × 10n-1]+C(1*×10n-1) combination than
Compared with comparing on instrument, difference DELTA m2 is obtained；
3) it is detected counterweight B (5 × 10n-1) and tested counterweight B [(2+2*+1) × 10n-1] combination compare on relatively instrument
Compared with obtaining difference DELTA m3；
4) it is detected counterweight B (5 × 10n-1) and tested counterweight B [(2+2*) × 10n-1]+C(1*×10n-1) combination comparing
Compare on instrument, obtains difference DELTA m4；
5) it is detected counterweight B (2+1) × 10n-1Combination and (2* × 10 tested counterweight Bn-1)+C(1*×10n-1) combination exist
Compare and compare on instrument, obtains difference DELTA m5；
6) it repeats, is detected counterweight B [(2+1) × 10n-1] combination and (2* × 10 tested counterweight Bn-1)+C(1*×10n-1)
Combination compare on relatively instrument, obtain difference DELTA m6；
7) it is detected counterweight B (2 × 10n-1)+C(1*×10n-1) combination and tested counterweight B [(2*+1) × 10n-1] combination exist
Compare and compare on instrument, obtains difference DELTA m7；
8) it repeats, is detected counterweight B (2 × 10n-1)+C(1*×10n-1) combination and tested counterweight B (2*+1) × 10n-1's
Combination is compared on relatively instrument, obtains difference DELTA m8；
9) it is detected counterweight B (2 × 10n-1) and (1* × 10 tested counterweight Cn-1)+B(1×10n-1) combination in relatively instrument
Upper comparison obtains difference DELTA m9；
10) it is detected counterweight B (2 × 10n-1) and (1* × 10 tested counterweight Cn-1)+B(1×10n-1) combination in relatively instrument
Upper comparison obtains difference △ m10；
11) (2* × 10 counterweight B are detectedn-1) and (1* × 10 tested counterweight Cn-1)+B(1×10n-1) combination in comparator
Compare on device, obtains difference △ m11；
12) (2* × 10 counterweight B are detectedn-1) and (1* × 10 tested counterweight Cn-1)+B(1×10n-1) combination in comparator
Compare on device, obtains difference △ m12；
Illustrate the calibrating to tested counterweight in the present embodiment using following specific values, but is not limited to saying for following data
It is bright.
1) standard test weight A (10) obtains difference △ compared with the combination of tested counterweight B (5+2+2*+1) is on relatively instrument
m1；
2) standard test weight A (10) obtains difference △ compared with the combination of tested counterweight B (5+2+2*+1*) is on relatively instrument
m2；
3) counterweight B (5) are detected compared with the combination of tested counterweight B (2+2*+1) is on relatively instrument, obtain difference △ m3；
4) counterweight B (5) are detected compared with the combination of tested counterweight B (2+2*+1*) is on relatively instrument, obtain difference △ m4；
5) combination of counterweight B (2+1) is detected compared with the combination of tested counterweight B (2*+1*) is on relatively instrument, obtains difference
△m5；
6) it repeats, is detected the combination of counterweight B (2+1) compared with the combination of tested counterweight B (2*+1*) is on relatively instrument,
Obtain difference △ m6；
7) combination of counterweight B (2+1*) is detected compared with the combination of tested counterweight B (2*+1) is on relatively instrument, obtains difference
△m7；
8) it repeats, is detected the combination of counterweight B (2+1*) compared with the combination of tested counterweight B (2*+1) is on relatively instrument,
Obtain difference △ m8；
9) counterweight B (2) are detected compared with the combination of tested counterweight B (1*+1) is on relatively instrument, obtain difference △ m9；
10) counterweight B (2) are detected compared with the combination of tested counterweight B (1*+1) is on relatively instrument, obtain difference △ m10；
11) counterweight B (2*) is detected compared with the combination of tested counterweight B (1*+1) is on relatively instrument, obtains difference △ m11；
12) counterweight B (2*) is detected compared with the combination of tested counterweight B (1*+1) is on relatively instrument, obtains difference △ m12.
According to process of measurement, it is intended to obtain tested counterweight magnitude, calibration method of the invention can provide the survey of tested counterweight B
It measures result and determines the uncertainty of measurement result；
The measurement process of tested counterweight B are as follows:
If: mA-- standard test weight (10) mass value (known)；
x1- it is detected counterweight (5) mass value；
x2- it is detected counterweight (2) mass value；
x3- it is detected counterweight (2*) mass value；
x4- it is detected counterweight (1) mass value；
x5- check standard counterweight (1*) mass value；
Two groups of linear equations can be obtained according to operating process:
By parsing above-mentioned two equation, x can be obtained1、x2、x3、x4、x5Numerical value is to get to tested counterweight 5,2,2*, 1 amount
Value.Utilize higher mathematics linear algebra matrix theory analytic equation.
List the augmented matrix of equation
The augmented matrix P of equation one:
The augmented matrix Q of equation two:
Parse augmented matrix
Augmented matrix P and Q are parsed, produce one " row echelon form " using Gaussian elimination method.Echelon matrix
Acquisition means that unknown number acquires solution, also just obtains the magnitude of tested counterweight.
By the parsing to matrix P and Q, following echelon matrix is obtained:
To obtain the numerical value of more high precision, usually taking the average value of two groups of numerical value is final result, that is, takes the flat of two matrixes
Mean value is final result matrix, it may be assumed that
The mathematical model of tested counterbalance mass correction value is obtained in this way:
x1=mc5=(2mcA+Δm1+Δm2-Δm3-Δm4)/4
x2=mc2=(2mcA+Δm1+Δm2+Δm3+Δm4-Δm5-Δm6-Δm7-Δm8-Δm9-Δm10)/10
x3=mc2*=(2mcA+Δm1+Δm2+Δm3+Δm4+Δm5+Δm6+Δm7+Δm8-Δm11-Δm12)/10
x4=mc1=(2mcA+Δm1+Δm2+Δm3+Δm4-Δm5-Δm6+4Δm7+4Δm7-Δm9-Δm105Δm11+
5Δm12)/20
x5=mcC=(2mcA+Δm1+Δm2+Δm3+Δm4+4Δm5-4Δm6-Δm7-Δm8-Δm9-Δm10+5Δm11
+5Δm12)/20
The tested counterweight magnitude being calculated such as is included in next counterweight to measure, above-mentioned mathematical model can be done simplified place
Reason, it may be assumed that
It is above exactly to obtain tested counterweight magnitude.
Determine the uncertainty of measurement result；
The analysis on Uncertainty of the result of the measurement method
By above method, following a pair of four linear mathematical model has been obtained.
x1=mc5=(2mcA+Δm1+Δm2-Δm3-Δm4)/4
x2=mc2=(2mcA+Δm1+Δm2+Δm3+Δm4-Δm5-Δm6-Δm7-Δm8-Δm9-Δm10)/10
x3=mc2*=(2mcA+Δm1+Δm2+Δm3+Δm4+Δm5+Δm6+Δm7+Δm8-Δm11-Δm12)/10
x4=mc1=(2mcA+Δm1+Δm2+Δm3+Δm4-Δm5-Δm6+4Δm7+4Δm7-Δm9-Δm10+5Δm11
+5Δm12)/20
x5=mcC=(2mcA+Δm1+Δm2+Δm3+Δm4+4Δm5-4Δm6-Δm7-Δm8-Δm9-Δm10+5Δm11
+5Δm12)/20
Quality difference value Δ m are as follows:
Due to measure be completed on the same weighing apparatus, so quality difference value introduce uncertainty be it is identical,
Its expanded uncertainty is to measure instrument section half-breadth, and obedience is uniformly distributed, it may be assumed that
Then:
Compared with JJG99-2006 " counterweight " vertification regulation test method
JJG99-2006 " counterweight " regulation combination method measurement result uncertainty
Known regulation regulation combined method correction value calculation formula is as follows:
Calculate uncertainty:
The measurement result uncertainty of JJG99-2006 " counterweight " regulation direct comparison method
Known regulation regulation direct comparison method correction value calculation formula is as follows:
mct=mcA+Δm
Compared with JJG99-2006 " counterweight " regulation test method measurement result uncertainty
It see the table below:
With weight nominal value (× 10k) abscissa is done, using the partial uncertainty as caused by measurement instrument as ordinate, obtain
To comparison result shown in FIG. 1.
As can be known from Fig. 1, it is lower than the combined method two that JJG99-2006 is provided using the result uncertainty of this method measurement
/ mono-；The comparison method a quarter provided lower than JJG99-2006.
Every series can be obtained according to the measurement model that this method provides in the verification function of four combined method of a pair of the invention
The numerical value of the check standard counterweight of counterweight group specifically calculates according to the following equation:
Due to 5 in the series counterweight, 2,2*, 1 be tested counterweight, and 1* is the check standard of known quality value, therefore
After a series is finished, the 1* mass value being calculated can be compared with its mass value, to obtain the series data
Correctness.
Each embodiment in this specification is described in a progressive manner, the highlights of each of the examples are with other
The difference of embodiment, the same or similar parts in each embodiment refer to mutually.
The foregoing description of the disclosed embodiments enables those skilled in the art to implement or use the present invention.
Various modifications to these embodiments will be readily apparent to those skilled in the art, as defined herein
General Principle can be realized in other embodiments without departing from the spirit or scope of the present invention.Therefore, of the invention
It is not intended to be limited to the embodiments shown herein, and is to fit to and the principles and novel features disclosed herein phase one
The widest scope of cause.
Claims (1)
1. a kind of counterweight magnitude component combination checking method, which is characterized in that
Select the standard test weight and tested counterweight of following nominal value:
--- standard test weight A:1 × 10n, wherein n=1,2,3 or -1, -2, -3. unit g；
--- tested counterweight B:(5,2,2*, 1) × 10n-1, wherein n=1,2,3 or -1, -2, -3. unit g；
--- check standard counterweight C:1* × 10n-1, wherein n=1,2,3 or -1, -2, -3. unit g；
Wherein, verification step includes:
1) standard test weight A (1 × 10n) and tested counterweight B [(5+2+2*+1) × 10n-1] combination compare on relatively instrument, obtain
Difference DELTA m1；
2) standard test weight A (1 × 10n) and tested counterweight B [(5+2+2*) × 10n-1]+C(1*×10n-1) combination in relatively instrument
Upper comparison obtains difference DELTA m2；
3) it is detected counterweight B (5 × 10n-1) and tested counterweight B [(2+2*+1) × 10n-1] combination compare on relatively instrument, obtain
Difference DELTA m3；
4) it is detected counterweight B (5 × 10n-1) and tested counterweight B [(2+2*) × 10n-1]+C(1*×10n-1) combination in relatively instrument
Upper comparison obtains difference DELTA m4；
5) it is detected counterweight B (2+1) × 10n-1Combination and (2* × 10 tested counterweight Bn-1)+C(1*×10n-1) combination comparing
Compare on instrument, obtains difference DELTA m5；
6) it repeats, is detected counterweight B [(2+1) × 10n-1] combination and (2* × 10 tested counterweight Bn-1)+C(1*×10n-1) group
Conjunction is compared on relatively instrument, obtains difference DELTA m6；
7) it is detected counterweight B (2 × 10n-1)+C(1*×10n-1) combination and tested counterweight B [(2*+1) × 10n-1] combine and comparing
Compare on instrument, obtains difference DELTA m7；
8) it repeats, is detected counterweight B (2 × 10n-1)+C(1*×10n-1) combination and tested counterweight B (2*+1) × 10n-1Combination
Compare on relatively instrument, obtains difference DELTA m8；
9) it is detected counterweight B (2 × 10n-1) and (1* × 10 tested counterweight Cn-1)+B(1×10n-1) combination compare on relatively instrument
Compared with obtaining difference DELTA m9；
10) it is detected counterweight B (2 × 10n-1) and (1* × 10 tested counterweight Cn-1)+B(1×10n-1) combination compare on relatively instrument
Compared with obtaining difference DELTA m10；
11) (2* × 10 counterweight B are detectedn-1) and (1* × 10 tested counterweight Cn-1)+B(1×10n-1) combination on relatively instrument
Compare, obtains difference DELTA m11；
12) (2* × 10 counterweight B are detectedn-1) and (1* × 10 tested counterweight Cn-1)+B(1×10n-1) combination on relatively instrument
Compare, obtains difference DELTA m12；
Obtain following measurement pattern:
If: mAFor standard test weight A mass value, standard test weight A is known standard value；
x1Tested counterweight (5) mass value；
x2Tested counterweight (2) mass value；
x3Tested counterweight (2*) mass value；
x4Tested counterweight (1) mass value；
x5Check standard counterweight C mass value；
It can obtain two groups of linear equations:
By parsing above-mentioned two equation, x can be obtained1、x2、x3、x4、x5Numerical value to get to tested counterweight 5,2,2*, 1 reality
Magnitude；
Wherein first list the augmented matrix of equation:
The augmented matrix P of equation one:
The augmented matrix Q of equation two:
Augmented matrix P and Q are parsed, produce one " row echelon form " using Gaussian elimination method；The acquisition of echelon matrix
Mean that unknown number acquires solution, also just obtains the magnitude of tested counterweight；
By the parsing to matrix P and Q, following echelon matrix is obtained:
To obtain the numerical value of more high precision, usually taking the average value of two groups of numerical value is final result, that is, takes the average value of two matrixes
For final result matrix, it may be assumed that
Tested counterbalance mass correction value is obtained in this way:
x1=mc5=(2mcA+Δm1+Δm2-Δm3-Δm4)/4
x2=mc2=(2mcA+Δm1+Δm2+Δm3+Δm4-Δm5-Δm6-Δm7-Δm8-Δm9-Δm10)/10
x4=mc1=(2mcA+Δm1+Δm2+Δm3+Δm4-Δm5-Δm6+4Δm7+4Δm7-Δm9-Δm10+5Δm11+5Δ
m12)/20
x5=mcC=(2mcA+Δm1+Δm2+Δm3+Δm4+4Δm5-4Δm6-Δm7-Δm8-Δm9-Δm10+5Δm11+5Δ
m12)/20
The tested counterweight magnitude being calculated such as is included in next counterweight to measure, simplified processing can be done by above-mentioned, it may be assumed that
By
The numerical value of the check standard counterweight of every serial counterweight group can be obtained；
Due to 5 in the series counterweight, 2,2*, 1 be tested counterweight B, and check standard counterweight C is the verification mark of known quality value
Standard, therefore after a series is finished, the C mass value being calculated can be compared with its mass value, to obtain this and be
The correctness of column data；
The uncertainty of measurement result is determined again；
If: mAFor standard test weight A mass value, standard test weight A is known standard value；
x1- it is detected counterweight (5) mass value；
x2- it is detected counterweight (2) mass value；
x3- it is detected counterweight (2*) mass value；
x4- it is detected counterweight (1) mass value；
x5- check standard counterweight C mass value；
Pass through a pair of four linear mathematical models:
Determine quality difference value Δ m are as follows:
It due to measuring is completed on the same weighing apparatus, so the uncertainty that quality difference value introduces is identical, expansion
Opening up uncertainty is to measure instrument section half-breadth, and obedience is uniformly distributed, it may be assumed that
Then:
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610645617.8A CN106289492B (en) | 2016-08-08 | 2016-08-08 | A kind of counterweight magnitude component combination checking method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610645617.8A CN106289492B (en) | 2016-08-08 | 2016-08-08 | A kind of counterweight magnitude component combination checking method |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN106289492A CN106289492A (en) | 2017-01-04 |
| CN106289492B true CN106289492B (en) | 2019-10-18 |
Family
ID=57666932
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201610645617.8A Active CN106289492B (en) | 2016-08-08 | 2016-08-08 | A kind of counterweight magnitude component combination checking method |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN106289492B (en) |
Families Citing this family (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111044216B (en) * | 2019-12-31 | 2020-09-25 | 江苏省计量科学研究院(江苏省能源计量数据中心) | Dead weight formula force standard machine weight on-spot weighing device |
| CN112556923A (en) * | 2020-12-09 | 2021-03-26 | 福州大学 | Weight optimal configuration method of large-force-value dead weight type force standard machine |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104677479A (en) * | 2015-02-27 | 2015-06-03 | 上海市计量测试技术研究院 | Weight calibration method |
| CN105466547A (en) * | 2015-12-17 | 2016-04-06 | 成都九洲电子信息系统股份有限公司 | Implementation method for electronic scale requiring no calibration |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP6182754B2 (en) * | 2013-08-22 | 2017-08-23 | 株式会社タニタ | Measuring device, charging device, and weight measuring system |
-
2016
- 2016-08-08 CN CN201610645617.8A patent/CN106289492B/en active Active
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104677479A (en) * | 2015-02-27 | 2015-06-03 | 上海市计量测试技术研究院 | Weight calibration method |
| CN105466547A (en) * | 2015-12-17 | 2016-04-06 | 成都九洲电子信息系统股份有限公司 | Implementation method for electronic scale requiring no calibration |
Non-Patent Citations (1)
| Title |
|---|
| 质量比较器在重量法配气中的应用;刘志娟等;《低温与特气》;20071231;第25卷(第6期);第24-29页 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN106289492A (en) | 2017-01-04 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Schwenke et al. | Assessment of uncertainties in dimensional metrology by Monte Carlo simulation: proposal of a modular and visual software | |
| CN107356387B (en) | Multisensor additional mass removing method in a kind of modal test | |
| CN106289492B (en) | A kind of counterweight magnitude component combination checking method | |
| CN104677479A (en) | Weight calibration method | |
| CN112649652B (en) | Tracing method and system for impulse current magnitude | |
| KR101018702B1 (en) | Partial Discharge Corrector With Self Correction And Tracing Management | |
| CN110441727A (en) | A kind of pair of electric energy performance school instrument carries out the method and device of state evaluation | |
| RU2445592C1 (en) | Method of checking quality of operation of stand for determining mass-balancing and mass-inertia characteristics of solid body of rotation | |
| CN117056875A (en) | Cable transmission performance analysis method and device based on test data | |
| US20120265469A1 (en) | Calibration method and device | |
| CN105466631B (en) | A kind of calibration method and calibrating installation of piston gage piston effective area | |
| CN108413855A (en) | A kind of calibration of Electronic calliper gauge and assessment method | |
| CN208383282U (en) | A kind of weighing sensor quadrangle test device | |
| CN109407042B (en) | Intelligent electric meter calibration method | |
| CN209559124U (en) | A kind of match measurement plotting board | |
| CN112596015A (en) | Test method and system of three-axis magnetic sensor | |
| Ren et al. | Calibration of measured FRFs based on mass identification method | |
| CN114509490B (en) | Ultra-high/extremely-high vacuum system mass spectrum measurement method based on spectrogram iterative analysis | |
| TWI427310B (en) | Method for measuring magnetic field | |
| He | Fast recalibration of test and measurement equipment | |
| CN115575028A (en) | Pressure calibration method and device of capacitance pen and storage medium | |
| CN113985041A (en) | Method and device for setting control limit of precision control of laboratory detection equipment | |
| Hiti | Validation of combinatorial evaluation of strain-gauge amplifier linearity | |
| Aldoumani et al. | Enhanced vector calibration of load-pull measurement systems | |
| CN115979514A (en) | System calibration method for mass and mass center flexible measurement equipment of large aircraft |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |