CN108562398A - A kind of object center of gravity measurement method - Google Patents
A kind of object center of gravity measurement method Download PDFInfo
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- CN108562398A CN108562398A CN201810295673.2A CN201810295673A CN108562398A CN 108562398 A CN108562398 A CN 108562398A CN 201810295673 A CN201810295673 A CN 201810295673A CN 108562398 A CN108562398 A CN 108562398A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M1/00—Testing static or dynamic balance of machines or structures
- G01M1/12—Static balancing; Determining position of centre of gravity
- G01M1/122—Determining position of centre of gravity
Abstract
The invention discloses a kind of object center of gravity measurement methods, a high-precision gravity gradient measuring device is placed in the external space of testee, by changing the relative position of testee to change surrounding gravitational field, the gravitational field of variation is arrived by gradiometry device sensitivity, it exports gravity gradient information related with testee position of centre of gravity, according to the law of universal gravitation, it may be determined that go out the position of centre of gravity of testee.Object center of gravity measurement method novel and unique proposed by the invention does not need complicated object hoisting platform or load carrying platform, without contacting testee, and it is without any requirement to body form or Mass Distribution, it is a kind of object center of gravity measurement method of practicality.
Description
Technical field
The present invention relates to a kind of object center of gravity measurement method more particularly to a kind of being suitable for large-scale fuzzy objects center of gravity
Measurement method belongs to Technology of Precision Measurement field.
Background technology
Position of centre of gravity is of great significance in engineering.For example, if crane can work normally, position of centre of gravity must close
It is suitable；The buoyance lift stability on naval vessel is also related with position of centre of gravity.The position of center of gravity is not only related with the shape of object, also with object
How efficiently, accurately Mass Distribution is related, especially random large-sized object, measure its center of gravity and brought to scientific worker
Challenge.Most of traditional object center of gravity measurement method measures net using the complicated pressure sensor of lifting switching mechanism or installation
Network is realized, cumbersome, time-consuming and laborious, and precision is difficult to be guaranteed.
Invention content
Technical problem：The present invention provides one kind without contacting testee, easy to operate, realization conveniently, has important reality
With the object center of gravity measurement method of value, any fuzzy objects may be implemented in this method, especially large-scale fuzzy objects
Center of gravity measurement.
Technical solution：The object center of gravity measurement method of the present invention, includes the following steps：
1) operation before object center of gravity measurement is carried out to gravity gradient measuring device, particular content has：
The coordinate system for establishing gradiometry device is northeast day geographic coordinate system, is denoted as oxyz, and origin o is gravity ladder
Testee is placed on any position in the geographic coordinate system of northeast day by the measuring center for spending measuring device；
2) calculate testee center of gravity is respectively to 3 intersection gravity gradient components of coordinate origin o：
Wherein, x, y, z are testee barycentric coodinates, and k is gravity gradient design factor, and R is testee center of gravity to original
The distance of point o, ΓxyFor the space derivation of the acceleration of gravity in x-axis in the y-axis direction, ΓxzFor the acceleration of gravity in x-axis
Space derivation in the z-axis direction, ΓyzFor the space derivation of the acceleration of gravity in y-axis in the z-axis direction；
3) zero-setting operation is carried out to the gravity gradient zero-bit of gravity gradient measuring device, by testee court along the x-axis direction
Zoy plane translations, until gravity gradient component Γxy、ΓxzUntil zero, zoy planes intersect with testee at this time, the two
Intersection be A section lines；Then testee is translated, zoy planes is made no longer to intersect with testee；Then by testee edge
Y-axis direction is towards zox plane translations, until gravity gradient component Γxy、ΓyzUntil zero, zox planes and testee at this time
The intersection of intersection, the two is B section lines；Then testee is translated, zox planes is made no longer to intersect with testee；Then will
Testee is along the z-axis direction towards xoy plane translations, until gravity gradient component Γxz、ΓyzUntil zero, xoy planes at this time
Intersect with testee, the intersection of the two is C section lines；The B that A cutting planes that the A section lines surround, B section lines surround is cut
The intersection point for the B cutting planes that plane and C section lines surround is the center of gravity of testee.
Further, in the method for the present invention, the gradiometry device of the step 1) is that can measure whole gradients
The full tensor gradiometry instrument of tensor.
Further, in the method for the present invention, in step 3), along the x-axis direction towards zoy plane translations, it is to maintain testee
Z coordinate and y-coordinate it is constant, translation change x coordinate be to maintain the z coordinate of testee along the y-axis direction towards zox plane translations
Constant with x coordinate, translation changes y-coordinate and is to maintain the x coordinate and y-coordinate of testee along the z-axis direction towards xoy plane translations
Constant, translation changes z coordinate.
In the present invention, a high-precision gravity gradient measuring device is placed in the external space of testee, it is tested by changing
The position relative to gradiometry device of object changes surrounding gravitational field, and the gravitational field of variation is by gradiometry
Device sensitivity arrives, and since the gravity gradient information of output is related with the position of centre of gravity of testee, is filled according to gradiometry
The output information set can determine the position of centre of gravity of testee.
Advantageous effect：Compared with prior art, the present invention haing the following advantages：
The object center of gravity measurement method novel and unique that the present invention provides.Common object center of gravity measurement method is hung using object
The pressure sensor of dress, reversing device or setting complexity measures network, but these methods all must directly connect with testee
It touches, once contact object will impact object center of gravity measurement.The center of gravity measurement method that the present invention provides is using change
What the method for gravitational field was realized, object will not be in direct contact in measurement process, therefore improve object center of gravity measurement
Precision, and it is without any requirement to body form or Mass Distribution.
Description of the drawings
Fig. 1 is object center of gravity measurement schematic diagram.
Fig. 2 is in zoy planes to the diagrammatic cross-section of object.
Fig. 3 is in zox planes to the diagrammatic cross-section of object.
Fig. 4 is in xoy planes to the diagrammatic cross-section of object.
Specific implementation mode
The present invention is further described with reference to embodiment and Figure of description.
1) operation before object center of gravity measurement is carried out to gravity gradient measuring device, particular content has：
The coordinate system for establishing gradiometry device is northeast day geographic coordinate system, is denoted as oxyz, and origin o is gravity ladder
Testee is placed on any position in the geographic coordinate system of northeast day by the measuring center for spending measuring device；
2) calculate testee center of gravity is respectively to 3 intersection gravity gradient components of coordinate origin o：
Wherein, x, y, z are testee barycentric coodinates, and k is gravity gradient design factor, and R is testee center of gravity to original
The distance of point o, ΓxyFor the space derivation of the acceleration of gravity in x-axis in the y-axis direction, ΓxzFor the acceleration of gravity in x-axis
Space derivation in the z-axis direction, ΓyzFor the space derivation of the acceleration of gravity in y-axis in the z-axis direction；
3) zero-setting operation is carried out to the gravity gradient zero-bit of gravity gradient measuring device, eliminates ambient enviroment to gravity gradient
The influence of measurement.By testee along the x-axis direction towards zoy plane translations, until gravity gradient component Γxy、ΓxzIt is equal to zero
Only, zoy planes intersect with testee at this time, and the intersection of the two is A section lines, such as Fig. 2 schematic diagrames；
4) testee is translated, zoy planes is made no longer to intersect with testee；Then by testee court along the y-axis direction
Zox plane translations, until gravity gradient component Γxy、ΓyzUntil zero, zox planes intersect with testee at this time, the two
Intersection be B section lines, such as Fig. 3 schematic diagrames；
5) testee is translated, zox planes is made no longer to intersect with testee；Then by testee court along the z-axis direction
Xoy plane translations, until gravity gradient component Γxz、ΓyzUntil zero, xoy planes intersect with testee at this time, the two
Intersection be C section lines, such as Fig. 4 schematic diagrames；
6) the B cutting planes that the B cutting planes and C section lines that the A section lines surround A cutting planes, B section lines surround surround
Intersection point be testee center of gravity.
It should be understood that above-described embodiment is merely to illustrate the preferred embodiment of technical solution of the present invention, rather than limitation is originally
The range of invention.After having read the present invention, those skilled in the art to the present invention various equivalent forms modification and replace
It changes and falls within protection domain defined by the application claim.
Claims (3)
1. a kind of object center of gravity measurement method, which is characterized in that this approach includes the following steps：
1) operation before object center of gravity measurement is carried out to gravity gradient measuring device, particular content has：
The coordinate system for establishing gradiometry device is northeast day geographic coordinate system, is denoted as oxyz, and origin o surveys for gravity gradient
Testee is placed on any position in the geographic coordinate system of northeast day by the measuring center for measuring device；
2) calculate testee center of gravity is respectively to 3 intersection gravity gradient components of coordinate origin o：
Wherein, x, y, z are testee barycentric coodinates, and k is gravity gradient design factor, and R is testee center of gravity to origin o's
Distance, ΓxyFor the space derivation of the acceleration of gravity in x-axis in the y-axis direction, ΓxzIt is the acceleration of gravity in x-axis in z-axis
Space derivation on direction, ΓyzFor the space derivation of the acceleration of gravity in y-axis in the z-axis direction；
3) zero-setting operation is carried out to the gravity gradient zero-bit of gravity gradient measuring device, testee is put down towards zoy along the x-axis direction
Face translates, until gravity gradient component Γxy、ΓxzUntil zero, zoy planes intersect with testee at this time, the friendship of the two
Line is A section lines；Then testee is translated, zoy planes is made no longer to intersect with testee；Then by testee along y-axis
Direction is towards zox plane translations, until gravity gradient component Γxy、ΓyzUntil zero, zox planes and testee phase at this time
It hands over, the intersection of the two is B section lines；Then testee is translated, zox planes is made no longer to intersect with testee；It then will be by
Object is surveyed along the z-axis direction towards xoy plane translations, until gravity gradient component Γxz、ΓyzUntil zero, at this time xoy planes with
Testee intersects, and the intersection of the two is C section lines；The B that A cutting planes that the A section lines surround, B section lines surround is truncated
The intersection point for the B cutting planes that face and C section lines surround is the center of gravity of testee.
2. object center of gravity measurement method according to claim 1, which is characterized in that the gradiometry of the step 1)
Device is the full tensor gradiometry instrument that can measure whole gradient tensors.
3. object center of gravity measurement method according to claim 1 or 2, which is characterized in that in the step 3), along x-axis side
To towards zoy plane translations, z coordinate and the y-coordinate for being to maintain testee are constant, and translation changes x coordinate, along the y-axis direction towards zox
Plane translation, z coordinate and the x coordinate for being to maintain testee are constant, and translation changes y-coordinate, flat towards xoy planes along the z-axis direction
It moves, x coordinate and the y-coordinate for being to maintain testee are constant, and translation changes z coordinate.
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109186859A (en) * | 2018-10-23 | 2019-01-11 | 北京空间机电研究所 | Space-orbit article center mass measuring device and method |
| CN113567048A (en) * | 2021-08-25 | 2021-10-29 | 秦川机床工具集团股份公司 | Gravity center measuring method for large-scale non-homogeneous object |
| CN113701945A (en) * | 2021-08-05 | 2021-11-26 | 中冶建筑研究总院有限公司 | Gravity center measuring device and method for pottery figurines |
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| US6658935B1 (en) * | 2001-03-07 | 2003-12-09 | Lockheed Martin Corporation | Complemented absolute/relative full-tensor gravity gradiometer system |
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109186859A (en) * | 2018-10-23 | 2019-01-11 | 北京空间机电研究所 | Space-orbit article center mass measuring device and method |
| CN113701945A (en) * | 2021-08-05 | 2021-11-26 | 中冶建筑研究总院有限公司 | Gravity center measuring device and method for pottery figurines |
| CN113567048A (en) * | 2021-08-25 | 2021-10-29 | 秦川机床工具集团股份公司 | Gravity center measuring method for large-scale non-homogeneous object |
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