CN108225243B - A kind of method of quick obtaining abnormal curved surface structural thickness distribution - Google Patents
A kind of method of quick obtaining abnormal curved surface structural thickness distribution Download PDFInfo
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- CN108225243B CN108225243B CN201711460004.8A CN201711460004A CN108225243B CN 108225243 B CN108225243 B CN 108225243B CN 201711460004 A CN201711460004 A CN 201711460004A CN 108225243 B CN108225243 B CN 108225243B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
- G01B21/02—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness
- G01B21/08—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness for measuring thickness
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
- G01B21/02—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness
- G01B21/04—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness by measuring coordinates of points
Abstract
The invention discloses a kind of methods of quick obtaining abnormal curved surface structural thickness distribution, and for the Varying-thickness curved surface entity structure using plane profiling preparation, the thickness and precision of curved surface to planar development largely effects on the quality of structure formation.And still lack the method obtained about abnormal curved surface entity structure expansion thickness at present, to solve problems, this patent proposes a kind of efficient, high-precision method: structure-based grid dividing model, fragment processing is carried out to curved-surface structure by using interpolation method, piece body thickness is obtained with construction geometry topological relation and is unfolded, and is finally carried out integral superposition and is obtained the expansion thickness distribution of curved-surface structure.
Description
Technical field
The present invention relates to polymorphic structure profiling preparation system fields, and in particular to a kind of novel thickness of abnormal curved surface structure
The acquisition methods of distribution.
Background technique
Plane profiling preparation be curved-surface structure can not straight forming, and structural plan is unfolded to prepare, then plastic deformation obtains
To the preparation method of structure.Conversion precision from curved-surface structure to areal model becomes the key restriction factors of product quality.It is special
It is not Varying-thickness abnormal curved surface structure, currently without good thickness acquisition methods, mostly at this stage is face expansion and cloth in using
The mode of point measurement obtains approximate thickness.Such method not only needs a large amount of time, low efficiency, and precision is also by measurement method
It influences.Therefore a kind of efficient, high-precision abnormal curved surface structural thickness distribution acquiring method is needed, structural plan profiling system is solved
Standby precision problem.
Summary of the invention
The present invention provides a kind of method of quick obtaining abnormal curved surface structural thickness distribution, solution obtains in the prior art
The low technical problem of abnormal curved surface structural thickness location mode low efficiency, precision.
In order to solve the above-mentioned technical problem, the present invention adopts the following technical scheme:
A kind of method of quick obtaining abnormal curved surface structural thickness distribution, comprising the following steps:
1) the abnormal curved surface structural model, is created, datum mark is selected, grid is carried out to the upper and lower surfaces of curved-surface structure and is drawn
Point, the upper and lower surfaces of curved surface entity are divided into several grid cells.It can be fitted to form curved surface by composite curve, in turn
Establish abnormal curved surface structural model.
2) three-dimensional cartesian coordinate system OXYZ, is established using datum mark as coordinate origin, wherein the width of X-axis and curved-surface structure
Degree direction is parallel, and Z axis is parallel with the length direction of curved-surface structure, and Y-axis is parallel with the thickness direction of curved-surface structure, to upper surface institute
There is the node of grid cell to be numbered, all nodes constitute a dot matrix, corresponding one unique number of each node, node
Number is denoted as AI, j, wherein i indicates the number of the node along curved-surface structure width direction, and j is indicated along curved-surface structure length direction
Node number, and record the D coordinates value (x, y, z) of each node；Equally, the node of following table surface grids is compiled
Number, it is denoted as A 'I, j, and record the D coordinates value of each node in lower surface；
3) M node, is respectively chosen in all nodes of curved-surface structure upper and lower surfaces, M > 100, M are positive integer, it is upper,
Each node node corresponding on lower surface on the identical and selected upper surface of number of nodes that lower surface is chosen
X axis coordinate is identical, Z axis coordinate value is identical, and corresponding two nodes that upper and lower surfaces are chosen are denoted as a group node；
It 4), will be selected upper and lower using linear interpolation method, according to the coordinate value of M group node selected in step 3)
It is positive integer that line between the corresponding each group of group node in surface, which is divided into N equal part, N > 1, and N, and every layer of M node is linked to be
One curved surface, then be divided into N number of sheet body for curved-surface structure through-thickness；
5) corresponding M node on upper and lower surfaces, is marked in each sheet body, is denoted as P respectivelyI, j, P 'I, j, then appoint in sheet body
One group node is identical with the X axis coordinate of corresponding node in curved-surface structure upper and lower surfaces, Z axis coordinate value is identical；Then it adopts
Every group node P on each sheet body is obtained with linear interpolation methodI, j, P 'I, jMidpoint, M midpoint of sheet body is linked to be face and obtains piece
The middle face of body, the normal of curved surface infinitesimal, the intersection of the normal and sheet body upper and lower surfaces record two friendships where excessively each midpoint is done
The coordinate value of point, calculates the distance between two intersection points according to the coordinate value of two intersection points, which is the sheet body at the midpoint
The thickness value y ' at place, the midpoint in note on face are GI, j, the three-dimensional coordinate (x, y ', z) at the midpoint in record on face；Equally, it obtains
On the middle face of N number of sheet body, the thickness value of all midpoints and the three-dimensional coordinate at midpoint；
6) grid dividing, is carried out to the middle face of each sheet body using rule identical with step 1), with net corresponding to basic point
Lattice unit successively continuously flattens surface grids in sheet body as expansion datum plane；
7), using rule identical with step 1) and benchmark, grid dividing is re-started to the middle face after expansion, and right
The grid node in plane is unfolded, is renumberd, is denoted as KI ', j ', volume of the i ' expression along the node of curved-surface structure width direction
Number, j ' indicates the number of the node along curved-surface structure length direction, according in step 1) in three-dimensional cartesian coordinate system OXYZ, record
The coordinate value (x ', y ", z ') of each grid after repartitioning, wherein y " is the thickness value in the expansion plane at the new node；
Each new node K in plane is unfoldedI ', j 'Surrounding has multiple middle face node GI, j, then using differential technique according to multiple middle face nodes
GI, jThickness value y ' obtain corresponding new node KI ', j 'Thickness value y "；Equally, institute in the expansion plane in face in N number of sheet body is obtained
There is corresponding thickness value y " at new node；
8) the expansion plane in face in N number of sheet body, is carried out by integral superposition with identical datum mark, obtains abnormal curved surface structure
The profile of flat deployable structure and the corresponding thickness value of each node obtain thickness distribution, obtain the exhibition of abnormal curved surface structural plan
Open model.
Curved-surface structure through-thickness is divided by multiple sheet bodies using linear interpolation method in the present invention, is obtained on each sheet body
Then thickness distribution at each node again flattens the middle face of each sheet body, obtained using differential technique each in expansion plane
Then expansion plane is carried out integral superposition, obtains the exhibition of abnormal curved surface structural plan by the thickness value of corresponding sheet body at new node
The profile of opening structure and the corresponding thickness value of each node obtain thickness distribution, obtain abnormal curved surface structural plan expansion model.
By the way that curved-surface structure through-thickness is divided into multiple sheet bodies, the accuracy of thickness value is substantially increased, and this method is simple, high
Effect solves abnormal curved surface structural thickness and obtains the problems such as difficulty is big, accuracy is insufficient, compensates for the different of plane profiling preparation
Shape curved-surface structure defect as caused by thickness error has many advantages, such as efficiently quick, accurate, automation, can become and obtain
A kind of new method of abnormal curved surface structural thickness distribution.
It is further improved, in the step 1), when being divided into grid to curved-surface structure upper and lower surfaces, neighboring grid cells
Thickness change between node is less than 10%.As make sizing grid smaller as possible, and guarantees that all grid cells are big
It is small uniform, smaller error, conducive to the precision that curved surface obtains thickness is improved
It is further improved, in the step 1), grid dividing is carried out to curved-surface structure upper and lower surfaces, grid cell is square
Shape improves precision convenient for dividing and numbering.
It is further improved, in the step 3), respectively chooses M node in all nodes of curved-surface structure upper and lower surfaces
When, it should special-shaped point is screened out, and selected node should be made to be uniformly distributed as far as possible.During model foundation, can exist
Some lines, these lines can intersect with lines when grid division, selection of these intersection points as abnormity point to grid node
It interferes, therefore needs to reject.Or in grid dividing, it is improper that division methods are chosen, and there are some special-shaped points, subsequent more
Optimization process in, need to screen out these special-shaped points, reduce error, improve precision.
It is further improved, in the step 4), curved-surface structure through-thickness is divided into N number of sheet body, N >=5.By curved surface
Structure through-thickness is divided into sheet body as much as possible, the normal and the upper and lower table of sheet body of curved surface infinitesimal where doing each midpoint
Face is vertical, guarantees that the distance between two intersection points, in the thickness value of the midpoint, reduce error closer to the sheet body, improves precision.
Compared with prior art, this programme has the following beneficial effects:
(1), the method for the present invention can be improved the precision that curved surface obtains thickness by the control to sizing grid.Using fragment
Method can not only accurately read thickness, obtain thickness results be distributed above and below middle plane relative to middle face expansion layout measurement obtain
The method of thickness is closer to architectural characteristic.
(2), the form that computer programming can be used in technical solution according to the present invention fast implements, without taking manually a little
Measurement, it is high-efficient, it is easy-to-use.
Detailed description of the invention
Fig. 1 is Varying-thickness abnormal curved surface structural schematic diagram of the present invention.
Fig. 2 is abnormal curved surface body structure surface grid dividing schematic diagram.
Fig. 3 is to obtain flattening schematic diagram by integrating stacked system.
Fig. 4 is the section 1-1 in Fig. 3, comparing result figure.
Fig. 5 is the section 2-2 in Fig. 3, comparing result figure.
Specific embodiment
For a better understanding of the present invention, below with reference to the embodiment content that the present invention is furture elucidated, but it is of the invention
Content is not limited solely to the following examples.
A kind of method of quick obtaining abnormal curved surface structural thickness distribution, comprising the following steps:
1), create the abnormal curved surface structural model, shown in Fig. 1, select datum mark, to the upper and lower surfaces of curved-surface structure into
Row grid dividing, grid are rectangle, and grid specification is 1.25*3.333, and the upper and lower surfaces of curved surface entity are divided into several nets
Lattice unit, as shown in Figure 2；
2) three-dimensional cartesian coordinate system OXYZ, is established using datum mark as coordinate origin, wherein the width of X-axis and curved-surface structure
Degree direction is parallel, and Z axis is parallel with the length direction of curved-surface structure, and Y-axis is parallel with the thickness direction of curved-surface structure, to upper surface institute
There is the node of grid cell to be numbered, all nodes constitute a dot matrix, corresponding one unique number of each node, section
Point number is denoted as AI, j, wherein i indicates the number of the node along curved-surface structure width direction, and j is indicated along curved-surface structure length side
To node number, and record the D coordinates value (x, y, z) of each node；Equally, the node of following table surface grids is carried out
Number, is denoted as A 'I, j, and record the D coordinates value of each node in lower surface；The X axis coordinate of upper and lower surfaces corresponding position node
It is identical, Z axis coordinate value is identical；
3) 2120 nodes, are respectively chosen in the dot matrix of all nodes of curved-surface structure upper and lower surfaces, in upper and lower surfaces
The number of nodes of selection is identical, and the X-axis of the node corresponding on lower surface of each node on selected upper surface is sat
It marks that identical, Z axis coordinate value is identical, corresponding two nodes that upper and lower surfaces are chosen is denoted as a group node；In the present embodiment
In, it is chosen the A (1,1) for 2120 node dot matrixs since step 2) that curved-surface structure upper surface is chosen, continuous choose arrives A
(30,20), every row have 70 nodes；Curved-surface structure lower surface choose 2120 node dot matrixs from step 2) A ' (1,
1) start to choose, continuous choose arrives A, (30,20), and every row has node serial number selected by 70 nodes.The mark of selected node
Number and coordinate value it is as shown in table 1:
The number of selected node, coordinate value (coordinate value unit: mm) in 1 upper and lower surfaces of table
4), according to the coordinate value of 2120 group nodes selected in step 3), using linear interpolation method by it is selected it is upper,
Line between the corresponding each group of group node in lower surface is divided into 5 equal parts, and every layer of 2120 Along ent are linked to be a curved surface,
Curved-surface structure through-thickness is then divided into 5 sheet bodies；
5) corresponding 2120 nodes on upper and lower surfaces, are marked in each sheet body, are denoted as P respectivelyI, j, P 'I, j, then sheet body
In any group node is identical with the X axis coordinate of corresponding node in curved-surface structure upper and lower surfaces, Z axis coordinate value is identical；So
Every group node P on each sheet body is obtained using linear interpolation method afterwardsI, j, P 'I, jMidpoint, M midpoint of sheet body is linked to be face and is obtained
To the middle face of sheet body, the normal of curved surface infinitesimal where excessively each midpoint is done, the intersection of the normal and sheet body upper and lower surfaces, record two
The coordinate value of a intersection point calculates the distance between two intersection points according to the coordinate value of two intersection points, which is the sheet body at this
The thickness value y ' of midpoint, the midpoint in note on face are GI, j, the three-dimensional coordinate (x, y ', z) at the midpoint in record on face；Equally,
It obtains on the middle face of N number of sheet body, the thickness value of all midpoints and the three-dimensional coordinate at midpoint；Wherein the 1st sheet body, the 5th sheet body
The label and coordinate value of node selected by upper and lower surfaces are as shown in table 2:
The 1st and the 5th point cloud coordinate data (coordinate value unit: mm) of table 2
6) grid dividing, is carried out to the middle face of each sheet body using rule identical with step 1), with net corresponding to basic point
Lattice unit successively continuously flattens surface grids in sheet body as expansion datum plane；
7), using rule identical with step 1) and benchmark, grid dividing is re-started to the middle face after expansion, again
The grid of division is rectangle, and grid specification is 1.25*3.333；And to the grid node in expansion plane, renumberd,
It is denoted as KI ', j ', number of the i ' expression along the node of curved-surface structure width direction, node of the j ' expression along curved-surface structure length direction
Number, according in step 1) in three-dimensional cartesian coordinate system OXYZ, record repartition after each grid coordinate value (x ', y ",
Z '), wherein y " is the thickness value in the expansion plane at the new node；Each new node K in plane is unfoldedI ', j 'Surrounding has
Multiple middle face node GI, j, then using differential technique according to multiple middle face node GI, jThickness value y ' obtain corresponding new node KI ', j ''s
Thickness value y "；Equally, corresponding thickness value y " at all new nodes is obtained in 5 sheet bodies in the expansion plane in face；
8) the expansion plane in face in 5 sheet bodies, is carried out by integral superposition with identical datum mark, obtains abnormal curved surface structure
The profile of flat deployable structure, as shown in figure 3, and the corresponding thickness value of each node, obtain thickness distribution, obtain abnormal curved surface
Structural plan expansion model.Wherein, the 1st sheet body, the expansion of the 5th sheet body, rechange subnetting lattice, and after renumbeing, choose node
Label, the thickness value of corresponding node and the thickness distribution of the curved-surface structure set, as shown in table 3:
Fragment body stack result data (coordinate value unit: mm) after grid are drawn in the expansion of table 3 again
In table 3, total thickness value is the thickness distribution value that the curved-surface structure goes out in each node.
According to the method for the present invention expansion as a result, being obtained with using measurement method of layouting at this stage described in background technique
To result compare, take two sections 1-1,2-2, comparing result such as Fig. 4, Fig. 5.Available thickness of the invention obtains
The data of method arrived are very much, very intensive, and all data constitute a curve in a coordinate system, have very high accurate
Property；And the data volume very little that measurement method of layouting obtains, all data only acnode one by one in a coordinate system, error is very
Greatly.
Do not done in the present invention illustrate be the prior art or can be realized by the prior art, and the present invention
Described in specific implementation case be only preferable case study on implementation of the invention, practical range not for the purpose of limiting the invention.
Equivalent changes and modifications made by i.e. all contents according to scope of the present invention patent all should be used as technology scope of the invention.
Claims (5)
1. a kind of method of quick obtaining abnormal curved surface structural thickness distribution, which comprises the following steps:
1) the abnormal curved surface structural model, is created, datum mark is selected, grid dividing is carried out to the upper and lower surfaces of curved-surface structure, it will
The upper and lower surfaces of curved surface entity are divided into several grid cells；
2) three-dimensional cartesian coordinate system OXYZ, is established using datum mark as coordinate origin, wherein the width side of X-axis and curved-surface structure
To parallel, Z axis is parallel with the length direction of curved-surface structure, and Y-axis is parallel with the thickness direction of curved-surface structure, to all nets in upper surface
The node of lattice unit is numbered, and all nodes constitute a dot matrix, corresponding one unique number of each node, node serial number
It is denoted as AI, j, wherein i indicates the number of the node along curved-surface structure width direction, and j indicates the section along curved-surface structure length direction
The number of point, and record the D coordinates value (x, y, z) of each node；Equally, the node of following table surface grids is numbered, is remembered
Make A 'I, j, and record the D coordinates value of each node in lower surface；
3) M node, is respectively chosen in all nodes of curved-surface structure upper and lower surfaces, M > 100, M are positive integer, in upper and lower table
The X-axis of each node node corresponding on lower surface on the identical and selected upper surface of the number of nodes that face is chosen
Coordinate is identical, Z axis coordinate value is identical, and corresponding two nodes that upper and lower surfaces are chosen are denoted as a group node；
4), according to the coordinate value of M group node selected in step 3), using linear interpolation method by selected upper and lower surfaces
It is positive integer that line between corresponding each group of group node, which is divided into N equal part, N > 1, and N, and every layer of M node is linked to be one
Curved-surface structure through-thickness is then divided into N number of sheet body by curved surface；
5) corresponding M node on upper and lower surfaces, is marked in each sheet body, is denoted as P respectivelyI, j, P 'I, j, then any group in sheet body
Node is identical with the X axis coordinate of corresponding node in curved-surface structure upper and lower surfaces, Z axis coordinate value is identical；Then line is used
Property interpolation method obtains every group node P on each sheet bodyI, j, P 'I, jMidpoint, M midpoint of sheet body is linked to be face and obtains sheet body
Middle face, the normal of curved surface infinitesimal, the intersection of the normal and sheet body upper and lower surfaces record two intersection points where excessively each midpoint is done
Coordinate value calculates the distance between two intersection points according to the coordinate value of two intersection points, which is the sheet body in the midpoint
Thickness value y ', the midpoint in note on face are GI, j, the three-dimensional coordinate (x, y ', z) at the midpoint in record on face；Equally, it obtains N number of
On the middle face of sheet body, the thickness value of all midpoints and the three-dimensional coordinate at midpoint；
6) grid dividing, is carried out to the middle face of each sheet body using rule identical with step 1), with grid list corresponding to basic point
Member successively continuously flattens surface grids in sheet body as expansion datum plane；
7), using rule identical with step 1) and benchmark, grid dividing is re-started to the middle face after expansion, and to expansion
Grid node in plane, is renumberd, and K is denoted asI ', j ', i ' indicate along curved-surface structure width direction node number,
J ' indicates the number of the node along curved-surface structure length direction, according in three-dimensional cartesian coordinate system OXYZ, record is heavy in step 1)
The coordinate value (x ', y ", z ') of each grid after new division, wherein y " is the thickness value in the expansion plane at the new node；Exhibition
Each new node K on open planeI ', j 'Surrounding has multiple middle face node GI, j, then using differential technique according to multiple middle face node GI, j
Thickness value y ' obtain corresponding new node KI ', j 'Thickness value y "；Equally, it obtains all new in the expansion plane in face in N number of sheet body
Corresponding thickness value y " at node；
8) the expansion plane in face in N number of sheet body, is carried out by integral superposition with identical datum mark, obtains abnormal curved surface structural plan
The profile of deployed configuration and the corresponding thickness value of each node obtain thickness distribution, obtain abnormal curved surface structural plan expansion mould
Type.
2. the method for quick obtaining abnormal curved surface structural thickness distribution according to claim 1, which is characterized in that the step
It is rapid 1) in, when being divided into grid to curved-surface structure upper and lower surfaces, the thickness change between neighboring grid cells node is less than
10%.
3. the method for quick obtaining abnormal curved surface structural thickness distribution according to claim 1 or 2, which is characterized in that institute
It states in step 1), grid dividing is carried out to curved-surface structure upper and lower surfaces, grid cell is rectangle.
4. the method for quick obtaining abnormal curved surface structural thickness distribution according to claim 3, which is characterized in that the step
It is rapid 3) in, when respectively choosing M node in all nodes of curved-surface structure upper and lower surfaces, it should screen out special-shaped point, and should make
Selected node is uniformly distributed as far as possible.
5. the method for quick obtaining abnormal curved surface structural thickness distribution according to claim 4, which is characterized in that the step
It is rapid 4) in, curved-surface structure through-thickness is divided into N number of sheet body, N >=5.
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| CN111027250B (en) * | 2019-12-11 | 2023-06-16 | 大连理工大学 | Modeling method for special-shaped curved surface reinforcement shell based on grid deformation technology |
| CN112665548B (en) * | 2020-12-14 | 2022-05-10 | 天津市捷威动力工业有限公司 | Method for quantitatively determining flatness of battery core |
| CN114279376A (en) * | 2021-12-24 | 2022-04-05 | 北京星航机电装备有限公司 | Thickness measuring method based on wall thickness distribution visualization and analysis |
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