CN104399777B - A kind of flame forming plate based on surface vector slope difference ratio shapes evaluation methodology - Google Patents

A kind of flame forming plate based on surface vector slope difference ratio shapes evaluation methodology Download PDF

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CN104399777B
CN104399777B CN201410715061.6A CN201410715061A CN104399777B CN 104399777 B CN104399777 B CN 104399777B CN 201410715061 A CN201410715061 A CN 201410715061A CN 104399777 B CN104399777 B CN 104399777B
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point
plate
slope
difference ratio
curvature
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CN104399777A (en
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韦宝刚
程良伦
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Guangdong University of Technology
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Guangdong University of Technology
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
    • B21C—MANUFACTURE OF METAL SHEETS, WIRE, RODS, TUBES OR PROFILES, OTHERWISE THAN BY ROLLING; AUXILIARY OPERATIONS USED IN CONNECTION WITH METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL
    • B21C51/00—Measuring, gauging, indicating, counting, or marking devices specially adapted for use in the production or manipulation of material in accordance with subclasses B21B - B21F

Abstract

A kind of flame forming plate based on vector slope difference ratio of disclosure shapes evaluation methodology, the ship hull plate integrally bending moulding process being mainly used in shipbuilding industry based on extreme misery plate technique, it mainly comprises the steps that (1) random selecting point on forming board, and finds corresponding point on on-gauge plate；(2) point and the vectorial slope of corresponding point on on-gauge plate on forming board are obtained respectively；(3) calculate the point selected at random and the vectorial slope difference ratio of corresponding point on on-gauge plate, if vector slope difference ratio is less than 10%, then this point and corresponding point matching success on on-gauge plate are described；(4) counting of calculating on forming board that the match is successful accounts for the proportion always counted, and completes to shape and evaluates.The present invention vectorial slope of point on curved surface, for starting point, utilizes the vectorial slope of point on profile surface to do difference contrast with the vectorial slope of corresponding point on on-gauge plate, effectively flame forming plate forming effect can be judged and evaluate.

Description

A kind of flame forming plate based on surface vector slope difference ratio shapes evaluation methodology
Technical field
The present invention relates to large complicated ship hull plate and shape assessment technique field, shape evaluation methodology particularly to a kind of flame forming plate based on outer surface vector slope difference ratio, be mainly used in shipbuilding industry to detect based on the ship hull plate curve generating of curvature difference ratio, evaluation field.
Background technology
Flame forming plate also referred to as wire hot briquetting (lineheating or lineheatofforming), it be a kind of utilize metallic plate local heating high temperature cooling after the localized heat elastic-plastic deformation that produces and a kind of moulding process of reaching integrally bending.Flame forming plate forming process originates from Japan in twentieth century five sixties, due to process fast, flexible operation, need not other equipment and be suitable to the advantage such as forming of complicated shape, it is widely used in shipyard all over the world rapidly, and is become the main processing mode of Double curve degree outside plate.Current almost all of Double curve degree ship hull plate is all adopt flame forming plate technique to be formed.
Flame forming plate needs to form effect assessment after shaping, and fires effect to weigh.Now, firing effect judgment criteria but without a good ship hull plate, most shipyards are based on burning the experience of plate master worker and judge whether burning plate shapes qualified.Although the method has certain judgement advantage when participating in the cintest, but does not have correlation theory foundation, it does not have the standard of quantization, stability is also not enough, has both been unfavorable for induction and conclusion, is less useful for succession and large-scale development.
Summary of the invention
The present invention proposes a kind of flame forming plate based on surface vector slope difference ratio and shapes evaluation methodology, by the method flame forming plate forming effect can be judged and evaluate, solve bent plate and fire the problem that forming effect is difficult to judge.
For solving above-mentioned technical problem, the technical solution used in the present invention is:
A kind of flame forming plate based on surface vector slope difference ratio shapes evaluation methodology, comprises the following steps:
(1) random selecting point on forming board, and on on-gauge plate, find corresponding point；
(2) point and the vectorial slope of corresponding point on on-gauge plate on forming board were obtained respectively；
(3) the vectorial slope difference ratio of the point selected at random is calculated；
(4) calculate on forming board that the match is successful count with always put percentage, complete the shaping evaluation of flame forming plate curved surface.
Preferably, in step (2), on optional forming board a bit after, find two other nearest with it non-collinear point, then three non-colinear points may make up a plane, obtains the normal vector slope of this plane, the vectorial slope being on forming board this point；
If three point respectively A (x in this plane1,y1,z1), B (x2,y2,z2), C (x3,y3,z3), then the normal vector requiredThen normal vector is 0 with the product of plane vector, namely
n → * AB → = ( a , b , c ) * ( x 2 - x 1 , y 2 - y 1 , z 2 - z 1 ) = 0
n → * BC → = ( a , b , c ) * ( x 3 - x 2 , y 3 - y 2 , z 3 - z 2 ) = 0
n → * CA → = ( a , b , c ) * ( x 1 - x 3 , y 1 - y 3 , z 1 - z 3 ) = 0
Coordinate is brought into and calculates:
(x2-x1)*a+(y2-y1)*b+(z2-z1) * c=0
(x3-x2)*a+(y3-y2)*b+(z3-z2) * c=0
(x1-x3)*a+(y1-y3)*b+(z1-z3) * c=0
I.e. K*X=0, recycles Cramer's rule, just obtains a, b, c:
a = K 1 K = ( x 2 - x 1 ) * y 3 - y 2 z 3 - z 2 y 1 - y 3 z 1 - z 3 ( x 2 - x 1 ) ( y 2 - y 1 ) ( z 2 - z 1 ) ( x 3 - x 2 ) ( y 3 - y 2 ) ( z 3 - z 2 ) ( x 1 - x 3 ) ( y 1 - y 3 ) ( z 1 - z 3 )
b = K 2 K = ( y 3 - y 2 ) * x 2 - x 1 z 1 - z 1 x 1 - x 3 z 1 - z 3 ( x 2 - x 1 ) ( y 2 - y 1 ) ( z 2 - z 1 ) ( x 3 - x 2 ) ( y 3 - y 2 ) ( z 3 - z 2 ) ( x 1 - x 3 ) ( y 1 - y 3 ) ( z 1 - z 3 )
c = K 3 K = ( z 1 - z 3 ) * x 2 - x 1 y 2 - y 1 x 3 - x 2 y 3 - y 2 ( x 2 - x 1 ) ( y 2 - y 1 ) ( z 2 - z 1 ) ( x 3 - x 2 ) ( y 3 - y 2 ) ( z 3 - z 2 ) ( x 1 - x 3 ) ( y 1 - y 3 ) ( z 1 - z 3 )
Making normal vector is α with the become inclination angle of Oxy plane, then slope k is the tangent value of inclined angle alpha, namely
Preferably, in step (3), surface vector slope difference ratio is point on forming board and the curvature difference of corresponding point on on-gauge plate, and the ratio of the curvature of corresponding point on on-gauge plate, namely
Surface vector slope difference ratio=△ curvature/curvature(on-gauge plate point)
Wherein, △ curvature is point and the absolute value of the curvature difference of corresponding point on on-gauge plate on forming board, namely
△ curvature=| curvature(forming board point)Curvature(on-gauge plate point)|。
Preferably, in step (4), calculating institute's vectorial slope difference ratio a little on forming board one by one, amount of orientation slope difference ratio is less than setting the point of threshold value as qualified point, and namely degree of crook is qualified, and this Point matching is successfully.Calculate the point that the match is successful again and account for the proportion always counted, be the shaping matching rate of entire plate, namely
Shape that matching rate=the match is successful counts/always count.
Compared with prior art, the invention have the benefit that the present invention on curved surface point vectorial slope for starting point, utilize the vectorial slope of point on profile surface to do difference contrast with the vectorial slope of corresponding point on on-gauge plate, effectively flame forming plate forming effect can be judged and evaluate.Flame forming plate forming effect can be judged and evaluate by the method, solve bent plate and fire the problem that forming effect is difficult to judge.
Accompanying drawing explanation
Fig. 1 is the plane that 3, the different line in space is constituted.
Fig. 2 is the inclination diagram that normal vector is formed with Oxy face.
Detailed description of the invention
Below in conjunction with accompanying drawing, the present invention will be further described, but embodiments of the present invention are not limited to this.
The invention provides a kind of flame forming plate based on surface vector slope difference ratio and shape evaluation methodology, it comprises the following steps:
(1) random selecting point on forming board, and on on-gauge plate, find corresponding point；
(2) the vectorial slope of corresponding point on point, on-gauge plate was obtained on forming board respectively
On optional forming board a bit after, find two other nearest with it non-collinear point, the non-colinear point of these three may make up a plane as it is shown in figure 1, obtain the normal vector slope of this plane, was the vectorial slope of this point.If these three point is A (x1,y1,z1), B (x2,y2,z2), C (x3,y3,z3), required normal vectorThen normal vector is 0 with the product of plane vector, namely
n → * AB → = ( a , b , c ) * ( x 2 - x 1 , y 2 - y 1 , z 2 - z 1 ) = 0
n → * BC → = ( a , b , c ) * ( x 3 - x 2 , y 3 - y 2 , z 3 - z 2 ) = 0
n → * CA → = ( a , b , c ) * ( x 1 - x 3 , y 1 - y 3 , z 1 - z 3 ) = 0
Bring into and calculate:
(x2-x1)*a+(y2-y1)*b+(z2-z1) * c=0
(x3-x2)*a+(y3-y2)*b+(z3-z2) * c=0
(x1-x3)*a+(y1-y3)*b+(z1-z3) * c=0
I.e. K*X=0, recycling Cramer's rule (Cramer'sRule) formula just can obtain a, b, c:
a = K 1 K = ( x 2 - x 1 ) * y 3 - y 2 z 3 - z 2 y 1 - y 3 z 1 - z 3 ( x 2 - x 1 ) ( y 2 - y 1 ) ( z 2 - z 1 ) ( x 3 - x 2 ) ( y 3 - y 2 ) ( z 3 - z 2 ) ( x 1 - x 3 ) ( y 1 - y 3 ) ( z 1 - z 3 )
b = K 2 K = ( y 3 - y 2 ) * x 2 - x 1 z 1 - z 1 x 1 - x 3 z 1 - z 3 ( x 2 - x 1 ) ( y 2 - y 1 ) ( z 2 - z 1 ) ( x 3 - x 2 ) ( y 3 - y 2 ) ( z 3 - z 2 ) ( x 1 - x 3 ) ( y 1 - y 3 ) ( z 1 - z 3 )
c = K 3 K = ( z 1 - z 3 ) * x 2 - x 1 y 2 - y 1 x 3 - x 2 y 3 - y 2 ( x 2 - x 1 ) ( y 2 - y 1 ) ( z 2 - z 1 ) ( x 3 - x 2 ) ( y 3 - y 2 ) ( z 3 - z 2 ) ( x 1 - x 3 ) ( y 1 - y 3 ) ( z 1 - z 3 )
And normal vector is illustrated in figure 2 α with the become inclination angle of Oxy plane, slope k is the tangent value of inclined angle alpha, namely
(3) the vectorial slope difference ratio of the point selected at random is calculated
Surface vector slope difference ratio is point on forming board and the curvature difference of corresponding point on on-gauge plate, and the ratio of the curvature of corresponding point on on-gauge plate, namely
Surface vector slope difference ratio=△ curvature/curvature(on-gauge plate point)
Wherein, △ curvature is point and the absolute value of the curvature difference of corresponding point on on-gauge plate on forming board, namely
△ curvature=| curvature(forming board point)Curvature(on-gauge plate point)|
(4) calculate on forming board that the match is successful count with always put percentage, complete to shape and evaluate
Calculating institute's vectorial slope difference ratio a little on forming board one by one, amount of orientation slope difference is qualified point than the point of less than 10% (vector slope difference ratio < 10%), and namely degree of crook is qualified, and this Point matching is successfully.Calculate the point that the match is successful again and account for the proportion always counted, be the shaping qualification rate of entire plate, namely
Shape that qualification rate=the match is successful counts/always count.
The embodiment of invention described above, is not intended that limiting the scope of the present invention.Any amendment done within the spiritual principles of the present invention, equivalent replacement and improvement etc., should be included within the claims of the present invention.

Claims (3)

1. the flame forming plate based on surface vector slope difference ratio shapes evaluation methodology, it is characterised in that be included in following steps:
(1) random selecting point on forming board, and on on-gauge plate, find corresponding point；
(2) point and the vectorial slope of corresponding point on on-gauge plate on forming board were obtained respectively；
(3) the vectorial slope difference ratio of the point selected at random is calculated；
(4) what calculate that on forming board, the match is successful counts and always puts percentage, completes the shaping evaluation of flame forming plate curved surface；
In step (2), on optional forming board a bit after, find two other nearest with it non-collinear point, then three non-colinear points may make up a plane, obtains the normal vector slope of this plane, the vectorial slope being on forming board this point；
If three point respectively A (x in this plane1,y1,z1), B (x2,y2,z2), C (x3,y3,z3), then the normal vector requiredThen normal vector is 0 with the product of plane vector, namely
Coordinate is brought into and calculates:
(x2-x1)*a+(y2-y1)*b+(z2-z1) * c=0
(x3-x2)*a+(y3-y2)*b+(z3-z2) * c=0
(x1-x3)*a+(y1-y3)*b+(z1-z3) * c=0
I.e. K*X=0, recycles Cramer's rule, just obtains a, b, c:
Making normal vector is α with the become inclination angle of Oxy plane, then slope k is the tangent value of inclined angle alpha, namely
2. the flame forming plate based on surface vector slope difference ratio according to claim 1 shapes evaluation methodology, it is characterized in that, in step (3), surface vector slope difference ratio is for putting on forming board and the curvature difference of corresponding point on on-gauge plate, with the ratio of the curvature of corresponding point on on-gauge plate, namely
Surface vector slope difference ratio=△ curvature/curvature(on-gauge plate point)
Wherein, △ curvature is point and the absolute value of the curvature difference of corresponding point on on-gauge plate on forming board, namely
△ curvature=| curvature(forming board point)Curvature(on-gauge plate point)|。
3. the flame forming plate based on surface vector slope difference ratio according to claim 2 shapes evaluation methodology, it is characterized in that, in step (4), calculate one by one on forming board vectorial slope difference ratio a little, amount of orientation slope difference ratio is less than setting the point of threshold value as qualified point, and namely degree of crook is qualified, this Point matching success, calculate the point that the match is successful again and account for the proportion always counted, be the shaping matching rate of entire plate, namely
Shape that matching rate=the match is successful counts/always count.
CN201410715061.6A 2014-11-28 2014-11-28 A kind of flame forming plate based on surface vector slope difference ratio shapes evaluation methodology Active CN104399777B (en)

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