CN103559405A - Unfolding method of circular cylinder wall and cylindrical surface during eccentric oblique intersection - Google Patents
Unfolding method of circular cylinder wall and cylindrical surface during eccentric oblique intersection Download PDFInfo
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- CN103559405A CN103559405A CN201310564832.1A CN201310564832A CN103559405A CN 103559405 A CN103559405 A CN 103559405A CN 201310564832 A CN201310564832 A CN 201310564832A CN 103559405 A CN103559405 A CN 103559405A
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Abstract
The invention relates to an unfolding method of a circular cylinder wall and a cylindrical surface during eccentric oblique intersection, and belongs to the technical field of transformer sheet-metal processing. The method adopts the technical scheme that an actual section of the cylinder wall in any unfolding position is a rectangle, and in order to avoid interference of the cylinder wall and the cylindrical surface under ideal assembly, the axial length of the section rectangle of the cylinder wall is required to be reduced, so that the length of the section rectangle is equal to an axial minimum distance from a section coordination edge to a plain end of the cylinder wall. With the adoption of the method, multiple coordinate points can be obtained, and an unfolding curve of coordination ends of the cylinder wall can be drawn by utilizing the obtained points, so that an unfolding diagram of the cylinder wall is drawn. The method has the positive effects that precise unfolding of the circular cylinder wall and the cylindrical surface during the eccentric oblique intersection is realized; the problems that the coordination ends of the cylinder wall are partially contacted during butting, and gaps appear at other parts are solved; welding operation is facilitated; the welding quality is improved; and the actual height of the cylinder wall of an ascending flanged base is ensured.
Description
Technical field
The present invention relates to a kind of round tube wall and the eccentric oblique method of deploying passing through mutually in the face of cylinder, belong to transformer can manufacturing technical field.
Background technology
Oil tank of transformer, in process, can run into round tube wall (hereinafter to be referred as barrel) and the eccentric oblique situation of passing through mutually (as the outer wall of circular cylinder body) in the face of cylinder, and the assembling on barrel and the face of cylinder is as Fig. 1-Fig. 3 schematic diagram.Sequence number 1 in Fig. 1 is barrel, and sequence number 2 is the face of cylinder, and barrel center line and the angle of face of cylinder center line in view plane are α, and the relative face of cylinder of barrel center line center line is at view plane (as Fig. 2) bias internal δ.Barrel coordinates one end to be called abutting end, the other end be called flat mouth end vertical with barrel axis with contacting of the face of cylinder.Barrel forms according to rolling after stretch-out view plate cutting, and stretch-out view is generally neutral line stretch-out view, after cylinder neutral line launches vertically, at flat mouth end, is a straight-line segment, comparatively simple, at abutting end, be a curve, comparatively complicated, so the expansion of barrel is for abutting end.On barrel abutting end developed curve the horizontal ordinate of any point represent barrel neutral line from initial expanded position (as the OA position Fig. 3, that sheet material is rolled onto the seaming position after cylinder) arrive expanded position (as position, θ angle in Fig. 3, below with θ angle, represent expanded position) arc length, ordinate represents the neutral laminin line length from barrel flat mouth end face to the face of cylinder.The ideal form of barrel section, when cutting plane (referring to the section plane of barrel center line, as follows) and face of cylinder axis are not parallel, as Fig. 4, Fig. 5 schematic diagram, when cutting plane is parallel with face of cylinder axis, as Fig. 6 schematic diagram.The limit that in Fig. 4-Fig. 6 schematic diagram, barrel section coordinates with Cylindrical Surfaces Contact is called section mating edge, and Fig. 4, Fig. 5 midship section mating edge are A ＇ a ＇ curve (for a part for elliptic curve), and Fig. 6 midship section mating edge is A ＇ a ＇ straight line.Yet actual blanking cannot process curve along thickness of slab direction, general blanking machined surface is vertical with plate face, therefore barrel section is shaped as rectangle, so just, there will be interference, as Fig. 7-Fig. 9, it is the interference situation schematic diagram on the lower barrel of ideal fit (after assembling, the axial height of barrel does not change) and the face of cylinder.Like this due to the reason of plate cutting, by the barrel of neutral line stretch-out view blanking processing, can cause that other position exists the problem in gap with local contact the in the face of cylinder when the assembling, when barrel and the face of cylinder (cylindrical shell) carry out assemble welding, need to barrel, to carry out suitable joining cuts temporarily, it is large that yet the amount of cutting is joined at some positions, it is little that the amount of cutting is joined at some positions, do not accomplish accurately to join and cut, can cause tolerance clearance more or less, cause welding difficulty, welding quality declines, and the existence of tolerance clearance will inevitably affect the axial height size of barrel in addition.
Summary of the invention
The object of this invention is to provide a kind of round tube wall and the eccentric oblique method of deploying passing through mutually in the face of cylinder, realized the eccentric oblique accurate expansion while passing through mutually in round tube wall and the face of cylinder, solved that local contact appears in barrel abutting end when docking and the problem in gap appears in other position, be conducive to welding operation and improved welding quality, guaranteed the true altitude of rising seat barrel.
Technical scheme of the present invention is: a kind of round tube wall and the eccentric oblique method of deploying passing through mutually in the face of cylinder, comprise following steps: due to plate cutting reason, barrel is shaped as rectangle at the field section of any expanded position, interference for fear of barrel and the face of cylinder under ideal fit, need shorten the axial length of barrel section rectangle, make its length equal section mating edge to the axial minimum distance of barrel flat mouth end; When expanded position θ, on section mating edge, arbitrfary point is made as y to the distance of barrel flat mouth end, and on section mating edge, hang down apart from being made as r to center line in arbitrfary point, and y is the function about r.According to the geometric relationship on cylinder and the face of cylinder, can derive:
In formula on r-section mating edge any point to the mm of Chui Ju， unit of center line;
If radius of circle is Rn in barrel, exradius is Ry, and the interval of definition of r is [Rn, Ry],
H-as shown in Figure 1, for cylinder flat mouth end central point is to the vertical range of face of cylinder center line in view plane, the mm of unit;
The angle of θ-expanded position and initial expanded position, represents expanded position, the rad of unit;
R-face of cylinder radius, the mm of unit;
The relative face of cylinder mm of disalignment Liang， unit of δ-barrel center line;
Barrel center is offset δ to the right for just, is offset δ left for negative;
When
or
time, (1) formula is reduced to:
or
, be a straight-line equation, its image barrel section mating edge, when the slope of straight-line equation is not 0, minimum of a function value point one fixes on a certain frontier point of interval of definition, when the slope of straight-line equation is 0, arbitrary frontier point of interval of definition can be used as minimum of a function value point, now frontier point slope
, frontier point slope is long-pending
; When θ is worth for other, image in interval of definition inner function is the elliptic curve of one section of less than 1/4th, when when interval of definition inner function is monotonicity function, functional image barrel section mating edge, it is one section of elliptic curve, minimum of a function value point also must be at a certain frontier point of interval of definition, now frontier point slope
with
be more than or equal to zero simultaneously or be less than or equal to zero simultaneously, so
; When having extreme point at interval of definition, as the B ＇ point in Fig. 5, be minimum of a function value point, now frontier point slope
and be contrary sign, so
;
After concluding above-mentioned analysis, can draw the method that obtains function minimum point: method one, when the amassing of frontier point slope of interval of definition
time, minimum of a function value point is a certain frontier point of interval of definition; Method two, when the amassing of frontier point slope of interval of definition
time, the extreme point in interval of definition is minimum of a function value point;
Said method one solves the process of extreme point: two frontier points difference substitution f (r) are calculated to functional value, compare, the point that functional value is less is minimum of a function value point;
Said method two solves the process of extreme point:
Order
can solve
Obtain two solutions, the solution in interval of definition is extreme point, is minimum of a function value point;
In formula
should be greater than 0, because of
maximal value be
R+| δ |, can draw r < R-| δ |, this is barrel in the condition that expanded position can pass through mutually with the face of cylinder arbitrarily;
Minimum of a function value point just can be tried to achieve minimum of a function value after determining, thereby obtains barrel section mating edge to the minimum distance of barrel flat mouth end;
The barrel section mating edge that expanded position is obtained is to the minimum distance of barrel flat mouth end as ordinate, i.e. y axial coordinate; By the expanded position neutral line arc length corresponding with initial expanded position (
) as horizontal ordinate, i.e. x axial coordinate; So just, obtained the coordinate points (x, y) of expanded position;
By said method, can obtain a plurality of coordinate points, utilize the point obtaining just can draw the developed curve of barrel abutting end, thereby draw out barrel stretch-out view.
Good effect of the present invention: realized the eccentric oblique accurate expansion while passing through mutually in round tube wall and the face of cylinder, solved that local contact appears in barrel abutting end when docking and the problem in gap appears in other position, be conducive to welding operation and improved welding quality, guaranteed the true altitude of rising seat barrel.
Accompanying drawing explanation
Fig. 1 is the front view schematic diagram of barrel and face of cylinder assembling;
In Fig. 1: 1-barrel, 2-face of cylinder;
Fig. 2 is the left view schematic diagram of barrel and face of cylinder assembling;
Fig. 3 is that the C of barrel and face of cylinder assembling is to partial view;
Fig. 4 is the desirable shape schematic diagram of section plane and face of cylinder axis barrel section when not parallel;
Fig. 5 is the desirable shape schematic diagram of section plane and face of cylinder axis barrel section when not parallel;
Fig. 6 is the desirable shape schematic diagram of section plane barrel section when parallel with face of cylinder axis;
Fig. 7 is the interference situation schematic diagram on barrel and the face of cylinder under ideal fit;
Fig. 8 is the interference situation schematic diagram on barrel and the face of cylinder under ideal fit;
Fig. 9 is the interference situation schematic diagram on barrel and the face of cylinder under ideal fit;
Figure 10 is round tube wall and the eccentric oblique expansion software interface passing through mutually in the face of cylinder;
Figure 11 is round tube wall and the eccentric oblique stretch-out view example of passing through mutually in the face of cylinder.
Embodiment
Below in conjunction with accompanying drawing, by embodiment, the present invention will be further described.
A kind of round tube wall and the eccentric oblique method of deploying passing through mutually in the face of cylinder, comprise following steps: due to plate cutting reason, barrel is shaped as rectangle at the field section of any expanded position, interference for fear of barrel and the face of cylinder under ideal fit, need shorten the axial length of barrel section rectangle, make its length equal section mating edge to (axially) minimum distance of barrel flat mouth end, just can solve the interference on barrel and the face of cylinder.
When expanded position θ, on section mating edge, arbitrfary point is made as y to the distance of barrel flat mouth end, and on section mating edge, hang down apart from being made as r to center line in arbitrfary point, and y is the function about r.According to the geometric relationship on Fig. 1-Fig. 3 cylinder and the face of cylinder, can derive:
In formula on r-section mating edge any point to the mm of Chui Ju， unit of center line;
If radius of circle is Rn in barrel, exradius is Ry, and the interval of definition of r is [Rn, Ry],
-barrel center line and the angle of face of cylinder center line in view plane,
,
The rad of unit;
H-as shown in Figure 1, for cylinder flat mouth end central point is to the vertical range of face of cylinder center line in view plane, the mm of unit;
The angle of θ-expanded position and initial expanded position, represents expanded position, the rad of unit;
R-face of cylinder radius, the mm of unit;
The relative face of cylinder of δ-barrel center line disalignment amount, as shown in Figure 2, the mm of unit;
Shown position barrel center is offset δ to the right for just, is offset δ left for negative.
When
or
time, (1) formula is reduced to:
or
,
It is a straight-line equation, its image is as Fig. 6 barrel section mating edge, when the slope of straight-line equation is not 0, minimum of a function value point one fixes on a certain frontier point of interval of definition, when the slope of straight-line equation is 0, arbitrary frontier point of interval of definition can be used as minimum of a function value point, now frontier point slope
, frontier point slope is long-pending
.When θ is worth for other, image in interval of definition inner function is the elliptic curve of one section of less than 1/4th, when when interval of definition inner function is monotonicity function, functional image is as Fig. 4 barrel section mating edge, it is one section of elliptic curve, minimum of a function value point also must be at a certain frontier point of interval of definition, now frontier point slope
with
be more than or equal to zero simultaneously or be less than or equal to zero simultaneously, so
; When having extreme point at interval of definition, as the B ＇ point in Fig. 5, be minimum of a function value point, now frontier point slope
and be contrary sign, so
.
After concluding above-mentioned analysis, can draw the method that obtains function minimum point: method one, when the amassing of frontier point slope of interval of definition
time, minimum of a function value point is a certain frontier point of interval of definition; Method two, when the amassing of frontier point slope of interval of definition
time, the extreme point in interval of definition is minimum of a function value point.
Said method one solves the process of extreme point: two frontier points difference substitution f (r) are calculated to functional value, compare, the point that functional value is less is minimum of a function value point.
Said method two solves the process of extreme point:
Order
can solve
Obtain two solutions, the solution in interval of definition is extreme point, is minimum of a function value point.
Attention: in (2) formula
should be greater than 0, because of
maximal value be
, can draw r < R-| δ |, this is barrel in the condition that expanded position can pass through mutually with the face of cylinder arbitrarily.
Minimum of a function value point just can be tried to achieve minimum of a function value after determining, thereby obtains barrel section mating edge to the minimum distance of barrel flat mouth end.
The barrel section mating edge that expanded position is obtained is to the minimum distance of barrel flat mouth end as ordinate, i.e. y axial coordinate; By the expanded position neutral line arc length corresponding with initial expanded position (
) as horizontal ordinate, i.e. x axial coordinate.So just, obtained the coordinate points (x, y) of expanded position
By said method, can obtain a plurality of coordinate points, utilize the point obtaining just can draw the developed curve of barrel abutting end, thereby draw out barrel stretch-out view.
With reference to accompanying drawing 10,11, according to the inventive method, utilize CAD platform and its VBA secondary development environment providing to carry out software development, realize the automatic calculating that barrel is launched, drafting and the mark of displaypattern.Round tube wall is shown in Figure 10 with the eccentric oblique expansion software interface passing through mutually in the face of cylinder, round tube wall is shown in Figure 11 with the eccentric oblique stretch-out view example of passing through mutually in the face of cylinder, realized the eccentric oblique accurate expansion while passing through mutually in round tube wall and the face of cylinder, at work through application verification for many years, solved that local contact appears in barrel abutting end when docking and the problem in gap appears in other position, be conducive to welding operation and improved welding quality, guaranteed the true altitude of rising seat barrel.
Claims (1)
1. a round tube wall and the eccentric oblique method of deploying passing through mutually in the face of cylinder, it is characterized in that comprising following steps: barrel is shaped as rectangle at the field section of any expanded position, interference for fear of barrel and the face of cylinder under ideal fit, need shorten the axial length of barrel section rectangle, make its length equal section mating edge to the axial minimum distance of barrel flat mouth end; When expanded position θ, on section mating edge, arbitrfary point is made as y to the distance of barrel flat mouth end, and on section mating edge, hang down apart from being made as r to center line in arbitrfary point, and y is the function about r, according to the geometric relationship on cylinder and the face of cylinder, can derive:
In formula on r-section mating edge any point to the mm of Chui Ju， unit of center line;
If radius of circle is Rn in barrel, exradius is Ry, and the interval of definition of r is [Rn, Ry],
The rad of unit;
H-as shown in Figure 1, for cylinder flat mouth end central point is to the vertical range of face of cylinder center line in view plane, the mm of unit;
The angle of θ-expanded position and initial expanded position, represents expanded position, the rad of unit;
R-face of cylinder radius, the mm of unit;
The relative face of cylinder mm of disalignment Liang， unit of δ-barrel center line;
Barrel center is offset δ to the right for just, is offset δ left for negative;
When
or
time, (1) formula is reduced to:
After concluding above-mentioned analysis, can draw the method that obtains function minimum point: method one, when the amassing of frontier point slope of interval of definition
time, minimum of a function value point is a certain frontier point of interval of definition; Method two, when the amassing of frontier point slope of interval of definition
time, the extreme point in interval of definition is minimum of a function value point;
Said method one solves the process of extreme point: two frontier points difference substitution f (r) are calculated to functional value, compare, the point that functional value is less is minimum of a function value point;
Said method two solves the process of extreme point:
Order
can solve
Obtain two solutions, the solution in interval of definition is extreme point, is minimum of a function value point;
In formula
should be greater than 0, because of
maximal value be
, can draw r < R-| δ |, this is barrel in the condition that expanded position can pass through mutually with the face of cylinder arbitrarily;
Minimum of a function value point just can be tried to achieve minimum of a function value after determining, thereby obtains barrel section mating edge to the minimum distance of barrel flat mouth end;
The barrel section mating edge that expanded position is obtained is to the minimum distance of barrel flat mouth end as ordinate, i.e. y axial coordinate; By the expanded position neutral line arc length corresponding with initial expanded position (
) as horizontal ordinate, i.e. x axial coordinate; So just, obtained the coordinate points (x, y) of expanded position;
By said method, can obtain a plurality of coordinate points, utilize the point obtaining just can draw the developed curve of barrel abutting end, thereby draw out barrel stretch-out view.
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Cited By (4)
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| CN104021270B (en) * | 2014-04-21 | 2017-03-15 | 包头北方创业股份有限公司 | Cell type part corner development of a sphere forming method |
| CN107357975A (en) * | 2017-06-27 | 2017-11-17 | 中船黄埔文冲船舶有限公司 | The acquiring method and cylinder of a kind of cylindrical tube and hull diclinic section intersection |
| CN109352269A (en) * | 2018-10-26 | 2019-02-19 | 西安长峰机电研究所 | A kind of metal plate forming method of twin columns curved surface |
| CN113428316A (en) * | 2021-07-27 | 2021-09-24 | 江南造船(集团)有限责任公司 | Iron outfitting pipe lofting and unfolding method |
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104021270B (en) * | 2014-04-21 | 2017-03-15 | 包头北方创业股份有限公司 | Cell type part corner development of a sphere forming method |
| CN107357975A (en) * | 2017-06-27 | 2017-11-17 | 中船黄埔文冲船舶有限公司 | The acquiring method and cylinder of a kind of cylindrical tube and hull diclinic section intersection |
| CN107357975B (en) * | 2017-06-27 | 2020-09-04 | 中船黄埔文冲船舶有限公司 | Method for obtaining intersection line of cylindrical barrel and ship body double-oblique-cut plane and barrel |
| CN109352269A (en) * | 2018-10-26 | 2019-02-19 | 西安长峰机电研究所 | A kind of metal plate forming method of twin columns curved surface |
| CN113428316A (en) * | 2021-07-27 | 2021-09-24 | 江南造船(集团)有限责任公司 | Iron outfitting pipe lofting and unfolding method |
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