CN102778214A - Method for measuring capacity of jar-shaped container - Google Patents
Method for measuring capacity of jar-shaped container Download PDFInfo
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- CN102778214A CN102778214A CN2012102511939A CN201210251193A CN102778214A CN 102778214 A CN102778214 A CN 102778214A CN 2012102511939 A CN2012102511939 A CN 2012102511939A CN 201210251193 A CN201210251193 A CN 201210251193A CN 102778214 A CN102778214 A CN 102778214A
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Abstract
The invention discloses a method for measuring capacity of a jar-shaped container. The method includes measuring characteristic dimensions of the jar-shaped container; converting the various dimensions of the jar-shaped container into coordinate values of the inner wall of a jar in a two-dimensional coordinate system; carrying out curve fitting operation for curves, which are formed from the bottom of the jar to shoulders of the jar, of the inner wall of the jar-shaped container; and obtaining the total capacity of the jar by a numerical integration method for the volume of a rotator and a volume calculation method for a cone frustum according to the obtained fitting curve equation. The method has the advantages that the theoretical capacity of the jar-shaped container can be quickly obtained only by measuring the outline dimensions of the jar-shaped container, a measuring process is simple, and is free of water consumption and high in efficiency. In addition, large quantities of water resources need to be consumed in an existing method for measuring capacity of a jar, hardware conditions such as fields and equipment are also required, water injection time is long, and efficiency is low in the existing method.
Description
Technical field
The present invention relates to the container capacity field of measurement, particularly a kind of method of measuring altar type container capacity.
Background technology
Manual system altar is the traditional handicraft of China, the especially large-scale altar of manual system altar, and physical dimension can't be identical, and its capacity also exists difference.Therefore for producer and user, cubic content measurement is very important together operation.At present, like the measuring method of volume among standard GB/T3301 " assay method of the volume of domestic ceramics, bore error, height error, weight error, flaw size ", be the detection that realizes the altar volume through water filling and the volume of measuring institute's water filling.The shortcoming of this method is that labour intensity is big, efficient is low and wastes water, and is not easy to large batch of altar cubic content measurement.
Summary of the invention
To the problems referred to above, the invention discloses a kind of easily and fast, altar type container capacity measuring method accurately.May further comprise the steps:
(1) characteristic dimension of measurement altar type container;
(2) various sizes with altar type container are scaled the coordinate figure of altar inwall in two-dimensional coordinate system;
(3) with I at the bottom of the altar to the computing that carries out curve fitting of the pottery altar inwall curve between the altar shoulder C, calculate the equation of matched curve;
The matched curve equation of (4) trying to achieve according to step (3), according to rotary body volume integral, I is to the volume of altar shoulder C at the bottom of the calculating altar;
(5), calculate the volume of altar neck portion B to altar shoulder C according to frustum of a cone calculation method of physical volume;
(6), be the total volume of altar with two parts bulking value addition that obtains in step (4) and the step (5).
In the method, the concrete way of measuring altar base thickness degree is, measures altar mouth A point in the outside of altar apart from the vertical range at the bottom of the altar with ruler, goes out altar mouth A point apart from the vertical range at the bottom of the altar with ruler at the internal measurement of altar again, and the difference of two-value is the thickness at the bottom of the altar.Measuring the altar wall thickness adopts common ultrasonic thickness test instrument to carry out thickness measure.
In step (2), when the various sizes of altar type container were scaled the coordinate figure of altar inwall in two-dimensional coordinate system, the coordinate figure on the x axle was the value that cuts the altar wall thickness, and the coordinate figure on the y axle is the value that cuts altar base thickness degree.
Use the computer curve fitting program commonly used computing that carries out curve fitting in the step (3), obtain the best curvilinear equation of fitting degree, promptly with C in the altar sectional view two-dimensional coordinate system of living in, D ..., I point place curve's equation x=f (y).
Use rotary body volume integral in the step (4), computing formula is
Use frustum of a cone calculation method of physical volume in the step (5), computing formula is
Y wherein
B, y
CBe respectively the ordinate that B, C are ordered; x
B, x
CBe respectively the horizontal ordinate that B, C are ordered, this value is the radius of this some place altar circumference, gets according to the girth calculating of this point place circumference.
With rotary body volume and the addition of frustum of a cone volume, be the total volume of altar at last.
The invention has the advantages that only through measuring the physical dimension of Tao Tan, just can obtain the theoretical capacity of Tao Tan fast, measuring process is simple, water consumption, efficient height in practical application, do not detect single pottery altar only need consuming time 2 to 3 minutes.And existing altar capacity measuring method need consume great lot of water resources, hardware conditions such as the place that also need be correlated with, equipment, and water injection time is long, and efficient is low.Large-scale altar to use 1 ton/hour large capacity meter amount pump priming detection nominal 500Kg is example, and the capacity of an altar of every detection needs 30 minutes, 0.5 ton of water consumption.
Description of drawings
Fig. 1 is an altar type container synoptic diagram of the present invention.
Embodiment
Below in conjunction with embodiment the present invention is made further detailed description.According to the method for the invention; At first measure the physical dimension of said large-scale Tao Tan, comprise that I is to altar body girth and the altar base thickness degree and the altar wall thickness of 3 points (80cm eminence D point, 60cm eminence F point, 20cm eminence H point) between the altar shoulder C or 5 points (80cm eminence D point, 70cm eminence E point, 60cm eminence F point, 40cm eminence G point, 20cm eminence H point) at the bottom of I girth at the bottom of height at the bottom of height at the bottom of altar mouth AB height, neck portion B are apart from altar, altar shoulder C are apart from altar, neck portion B girth, altar shoulder C girth, the altar, the altar.
Then, the physical dimension of measuring being scaled the coordinate of pottery altar inwall in pottery altar sectional view two-dimensional coordinate system of living in, is (x like the C point coordinate
C, y
C), wherein:
yc=altar shoulder C point height-altar base thickness degree
Afterwards; The coordinate data that C, D, E, F, G, H, I are ordered adopts common computer curve fitting program such as the matlab computing that carries out curve fitting; Contrast x=f (y) equation of 10 groups of altar physical dimension data fittings; Curve models such as binomial model of fit, fitting of a polynomial model, rational function model, Logistic model are arranged, with each group data match respectively respectively.Three the highest models of regression coefficient that characterize the fitting degree index are enumerated into following table, and the visible effect of higher order polynomial match that adopts is best.
The inventor carries out the fitting of a polynomial on 3 rank, 4 rank, 5 rank respectively to each group data, regression coefficient such as following table, and the exponent number of visible higher order polynomial is high more, and regression coefficient is high more, and fitting effect is also good more.Simultaneously, along with exponent number increases, this higher order polynomial equation is used for the also increase thereupon of complexity that volume integral is calculated.Therefore, when selecting fit equation, need seek the equilibrium point between curve fitting effect and the equation integration difficulty.When the exponent number of higher order polynomial reached 4 rank, regression coefficient all was higher than 0.999, so confirm that fit equation is 4 rank polynomial equation X=a+bY+cY
2+ dY
3+ eY
4
A, b, c, d, e are the constant and the coefficient of equation in the formula, and the concrete numerical value of a of arbitrary altar type container equation, b, c, d, e can adopt computer curve fitting program such as matlab to carry out the computing of quadravalence fitting of a polynomial and obtain.
According to the 4 rank polynomial equations of confirming, according to rotary body volume integral, I is to the volume of altar shoulder C at the bottom of the calculating altar, and computing formula is:
A, b, c, d, e are the constant and the coefficient of equation in the formula, y
CThe ordinate of ordering for C.
Simultaneously, according to frustum of a cone calculation method of physical volume, calculate the volume of altar neck portion B to altar shoulder C, computing formula is:
Y in the formula
B, y
CBe respectively the ordinate that B, C are ordered, x
B, x
CBe respectively the horizontal ordinate that B, C are ordered.
At last, with the addition of above-mentioned two parts volume, be the total volume of Tao Tan.
In the method, the concrete way of measuring altar base thickness degree is, measures altar mouth A point in the outside of altar apart from the vertical range at the bottom of the altar with ruler, goes out altar mouth A point apart from the vertical range at the bottom of the altar with ruler at the internal measurement of altar again, and the difference of two-value is the thickness at the bottom of the altar.Adopt on the market common ultrasonic thickness test instrument to measure when measuring the altar wall thickness.
When the various sizes with altar type container were scaled the coordinate figure of altar inwall in two-dimensional coordinate system, the coordinate figure on the x axle was the value that cuts the altar wall thickness, and the coordinate figure on the y axle is the value that cuts altar base thickness degree.
The following table data are the contrast of water-filling method and the inventive method measurement result, and its deviation explains that method accuracy rate of measuring of the present invention is high in 2%, be specially adapted to the quick measurement of altar type container capacity.
Claims (6)
1. method of measuring altar type container capacity is characterized in that may further comprise the steps:
(1) characteristic dimension of measurement altar type container;
(2) various sizes with altar type container are scaled the coordinate figure of altar inwall in two-dimensional coordinate system;
(3) with I at the bottom of the altar to the computing that carries out curve fitting of the altar type container inner wall curve between the altar shoulder C, calculate the equation of matched curve;
The matched curve equation of (4) trying to achieve according to step (3), according to rotary body volume integral, I is to the volume of altar shoulder C at the bottom of the calculating altar;
(5), calculate the volume of altar neck portion B to altar shoulder C according to frustum of a cone calculation method of physical volume;
(6), be the total volume of altar with two parts bulking value addition that obtains in step (4) and the step (5).
2. the method for measurement altar type container capacity as claimed in claim 1 is characterized in that: the characteristic dimension of described measurement altar type container comprises: altar mouth AB height; Vertical range and the altar shoulder C point of the neck portion B point of altar type container at the bottom of apart from altar is apart from the vertical range at the bottom of the altar; The girth of the girth of place, the neck portion B point place altar body of altar type container, place, altar shoulder C point place altar body and the girth at the bottom of the altar; At the bottom of the altar type container altar to 3 ~ 5 between the altar shoulder altar body girths apart from vertical range at the bottom of the altar and place height; The altar base thickness degree of altar type container and altar wall thickness.
3. the method for measurement altar type container capacity as claimed in claim 1; It is characterized in that: the method for measuring altar base thickness degree is; Measure altar mouth A point in the outside of altar apart from the vertical range at the bottom of the altar with ruler; Go out altar mouth A point apart from the vertical range at the bottom of the altar with ruler at the internal measurement of altar again, the difference of two-value is the thickness at the bottom of the altar.
4. the method for measurement altar type container capacity as claimed in claim 1 is characterized in that: the method for measuring the altar wall thickness is, adopts common ultrasonic thickness test instrument to be close to the altar external, carries out the thickness measuring reading.
5. the method for measurement altar type container capacity as claimed in claim 1; It is characterized in that: when the various sizes of altar type container are scaled the coordinate figure of altar inwall in two-dimensional coordinate system; Coordinate figure on the x axle is the value that cuts the altar wall thickness, and the coordinate figure on the y axle is the value that cuts altar base thickness degree.
6. the method for measurement altar type container capacity as claimed in claim 1 is characterized in that: with adopting the computer curve fitting program commonly used computing that carries out curve fitting to the altar inwall curve between the altar shoulder at the bottom of the altar, obtain the best curvilinear equation of fitting degree.
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| Application Number | Priority Date | Filing Date | Title |
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| CN201210251193.9A CN102778214B (en) | 2012-07-19 | 2012-07-19 | A kind of method measuring capacity of jar-shaped container |
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| Application Number | Priority Date | Filing Date | Title |
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| CN201210251193.9A CN102778214B (en) | 2012-07-19 | 2012-07-19 | A kind of method measuring capacity of jar-shaped container |
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| CN102778214A true CN102778214A (en) | 2012-11-14 |
| CN102778214B CN102778214B (en) | 2016-10-05 |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103175490A (en) * | 2013-03-15 | 2013-06-26 | 贵州茅台酒股份有限公司 | Quick measuring method for pottery jar volume |
| CN104330127A (en) * | 2014-12-03 | 2015-02-04 | 乐山师范学院 | Wine storage tank stock automatic detection device |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| ES2212887A1 (en) * | 2002-05-17 | 2004-08-01 | Francisco J. Segovia Espiau | Method for obtaining drum-shaped high capacity tanks to store liquid, involves arranging polyhedron segments in parallel to axis of shell, where circular surfaces are contained in two planes, which are formed perpendicular to axis of shell |
| CN102322815A (en) * | 2011-06-12 | 2012-01-18 | 浙江省计量科学研究院 | High-precision and high-volume measurement device and method based on three-dimensional laser scanning |
-
2012
- 2012-07-19 CN CN201210251193.9A patent/CN102778214B/en active Active
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| ES2212887A1 (en) * | 2002-05-17 | 2004-08-01 | Francisco J. Segovia Espiau | Method for obtaining drum-shaped high capacity tanks to store liquid, involves arranging polyhedron segments in parallel to axis of shell, where circular surfaces are contained in two planes, which are formed perpendicular to axis of shell |
| CN102322815A (en) * | 2011-06-12 | 2012-01-18 | 浙江省计量科学研究院 | High-precision and high-volume measurement device and method based on three-dimensional laser scanning |
Non-Patent Citations (1)
| Title |
|---|
| 国家质量技术监督局: "日用陶瓷的容积、口径误差、高度误差、重量 误差、缺陷尺寸的测定方法", 《中华人民共和国国家标准GB/T3301-1999》, 1 February 2000 (2000-02-01), pages 18 - 20 * |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103175490A (en) * | 2013-03-15 | 2013-06-26 | 贵州茅台酒股份有限公司 | Quick measuring method for pottery jar volume |
| CN104330127A (en) * | 2014-12-03 | 2015-02-04 | 乐山师范学院 | Wine storage tank stock automatic detection device |
| CN104330127B (en) * | 2014-12-03 | 2018-04-10 | 乐山师范学院 | Wine storage tank storage automatic detection device |
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| Publication number | Publication date |
|---|---|
| CN102778214B (en) | 2016-10-05 |
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