CN108225243A - 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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- CN108225243A CN108225243A CN201711460004.8A CN201711460004A CN108225243A CN 108225243 A CN108225243 A CN 108225243A CN 201711460004 A CN201711460004 A CN 201711460004A CN 108225243 A CN108225243 A CN 108225243A
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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
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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 prepared using plane profiling, 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, the present invention proposes a kind of efficient, high-precision method：Structure-based mesh generation model carries out fragment processing to curved-surface structure by using interpolation method, obtains piece body thickness with construction geometry topological relation and be unfolded, and finally carries out integration superposition and obtains 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 technology
Plane profiling preparation be curved-surface structure can not straight forming, and structural plan is unfolded to prepare, then mold deforms
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 that point measures obtains approximate thickness.Such method not only needs that a large amount of time, efficiency are low, and precision is also by measurement method
It influences.Therefore there is an urgent need for a kind of efficient, high-precision abnormal curved surface structural thickness distribution acquiring method, structural plan profiling system is solved
Standby precision problem.
Invention content
The present invention provides a kind of method of quick obtaining abnormal curved surface structural thickness distribution, solution obtains in the prior art
The technical issues of abnormal curved surface structural thickness location mode efficiency is low, precision is low.
In order to solve the above-mentioned technical problem, the present invention adopts the following technical scheme that：
A kind of method of quick obtaining abnormal curved surface structural thickness distribution, includes the following steps：
1) the abnormal curved surface structural model, is created, selects datum mark, carrying out grid to the upper and lower surface of curved-surface structure draws
Point, the upper and lower surface of curved surface entity is divided into several grid cells.It can be fitted to form curved surface by composite curve, and then
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
The node for having grid cell is numbered, and all nodes form a dot matrix, and each node corresponds to a unique number, node
Number is denoted as AI, j, wherein, i represents the number along the node of curved-surface structure width direction, and j is represented 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, A is denoted as,I, j, and record the D coordinates value of each node in lower surface；
3) M node, M respectively, are chosen in all nodes on the upper and lower surface of curved-surface structure>100, M be positive integer, it is upper,
Each node node edge corresponding on lower surface on the identical and selected upper surface of number of nodes that lower surface is chosen
The number of the number node identical, along curved-surface structure length direction of the node of curved-surface structure width direction is identical, selected by record
The coordinate value of node is taken, corresponding two nodes that upper and lower surface is 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 nodes selected in step 3)
Line between the corresponding each group of group node in surface is divided into N deciles, N>1, and N is positive integer, and every layer of M Along ent is connected
Into a curved surface, then curved-surface structure through-thickness is divided into N number of sheet body；
5) corresponding M node on upper and lower surface, is marked in each sheet body, is denoted as P respectivelyI, j, P 'I, j, then appoint in sheet body
The X-axis coordinate of corresponding node is identical in the upper and lower surface of one group node and curved-surface structure, Z axis coordinate value is identical；Then it adopts
It is obtained on each sheet body per group node P 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 normal intersect with the upper and lower surface of sheet body where excessively each midpoint is done, and record two friendships
The coordinate value of point, the distance between two intersection points are calculated 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) mesh generation, is carried out to the middle face of each sheet body using the 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 the rule and benchmark identical with step 1), mesh generation is re-started, and right to the middle face after expansion
The grid node in plane is unfolded, into line renumbering, is denoted as Ki',j', i ' is represented along the node of curved-surface structure width direction
Number, j ' represent the number along the node of curved-surface structure length direction, according in three-dimensional cartesian coordinate system OXYZ in step 1), remember
The coordinate value (x ', y ", z ') of each grid after repartitioning is recorded, wherein, y " is the thickness at the new node in the expansion plane
Value；Each new node K in plane is unfoldedi',j' around there are multiple middle face node GI, j, then using differential technique according to multiple middle faces
Node GI, jThickness value y ' obtain corresponding new node Ki',j' thickness value y "；Equally, show that the expansion in face in N number of sheet body is put down
Corresponding thickness value y " at all new nodes on face；
8) the expansion plane in face in N number of sheet body, is carried out by integration 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 integration 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 the abnormal curved surface structural thickness problems that obtain that difficulty is big, accuracy is insufficient etc., compensate for prepared with plane profiling it is different
The defects of shape curved-surface structure is caused due to 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 to curved-surface structure, upper and lower surface is divided into grid, neighboring grid cells
Thickness change between node is preferably less than 10%.As make sizing grid smaller as possible, and ensure all grid cells
It is uniform in size, smaller error, conducive to the precision that curved surface obtains thickness is improved
It is further improved, in the step 1), to curved-surface structure, upper and lower surface carries out mesh generation, and grid cell is square
Shape convenient for dividing and numbering, improves precision.
It is further improved, in the step 3), M node is respectively chosen in all nodes on the upper and lower surface of curved-surface structure
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 during grid division, these intersection points are as selection of the abnormity point to grid node
It interferes, therefore needs to reject.Or in mesh generation, it is improper that division methods are chosen, mostly there are some special-shaped points, follow-up
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, and each midpoint was made to do the normal of place curved surface infinitesimal and the upper and lower table of sheet body
Face is vertical, ensures the distance between two intersection points closer to the sheet body in the thickness value of the midpoint, reduction error, raising precision.
Compared with prior art, this programme has the advantages that：
(1), the method for the present invention obtains the precision of thickness by that can improve curved surface to the control of 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), technical solution according to the present invention can be used the form of computer programming and quickly realize, without taking manually a little
It measures, it is efficient, facilitate easy-to-use.
Description of the drawings
Fig. 1 is Varying-thickness abnormal curved surface structure diagram of the present invention.
Fig. 2 is abnormal curved surface body structure surface mesh generation schematic diagram.
Fig. 3 is to obtain flattening schematic diagram by integrating stacked system.
Fig. 4 be Fig. 3 in 1-1 sections, comparing result figure.
Fig. 5 be Fig. 3 in 2-2 sections, comparing result figure.
Specific embodiment
For a better understanding of the present invention, with reference to the embodiment content that the present invention is furture elucidated, but the present invention
Content is not limited solely to the following examples.
A kind of method of quick obtaining abnormal curved surface structural thickness distribution, includes the following steps：
1), create the abnormal curved surface structural model, shown in Fig. 1, select datum mark, to the upper and lower surface of curved-surface structure into
Row mesh generation, grid are rectangle, and grid specification is 1.25*3.333, and the upper and lower surface of curved surface entity is 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
The node for having grid cell is numbered, and all nodes form a dot matrix, and each node corresponds to a unique number, section
Point number is denoted as AI, j, wherein, i represents the number along the node of curved-surface structure width direction, and j is represented 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 surface 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 on the upper and lower surface of curved-surface structure, on upper and lower surface
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 surface is 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, it is continuous to choose to A
(30,20), it is often capable to 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 often row has the 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 in 1 upper and lower surface of table：mm)
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 deciles, 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 surface, 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 the upper and lower surface of curved-surface structure, Z axis coordinate value is identical；So
It is obtained on each sheet body per group node P 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, the normal intersect with the upper and lower surface of sheet body where excessively each midpoint is done, 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 of node and coordinate value are as shown in table 2 selected by upper and lower surface：The 1st and the 5th point cloud coordinate data (coordinate of table 2
It is worth unit：mm)
6) mesh generation, is carried out to the middle face of each sheet body using the 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 the rule and benchmark identical with step 1), mesh generation 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, into line renumbering,
It is denoted as Ki',j', i ' represents the number along the node of curved-surface structure width direction, and j ' represents the section along curved-surface structure length direction
The number of point, according in three-dimensional cartesian coordinate system OXYZ in step 1), record repartition after each grid coordinate value (x ',
Y ", z '), wherein, y " is the thickness value at the new node in the expansion plane；Each new node K in plane is unfoldedi',j' week
It is with 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' 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 integration 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 put, as shown in table 3：
Table 3 is unfolded, draws fragment body stack result data (coordinate value unit after grid again：mm)
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, with being obtained using the measuring method of layouting at this stage described in background technology
To result compared, take two sections of 1-1,2-2, comparing result such as Fig. 4, Fig. 5.The thickness that can obtain the present invention obtains
The data arrived of method are very much, very intensive, and all data form a curve in a coordinate system, have very high accurate
Property；And the data volume very little that measuring 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 the present invention preferable case study on implementation, not be used for limit the present invention practical range.
The equivalent changes and modifications that i.e. all contents according to scope of the present invention patent are made all should be used as the technology scope of the present invention.
Claims (5)
- A kind of 1. method of quick obtaining abnormal curved surface structural thickness distribution, which is characterized in that include the following steps：1) the abnormal curved surface structural model, is created, selects datum mark, mesh generation is carried out to the upper and lower surface of curved-surface structure, it will The upper and lower surface of curved surface entity is 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, all nets to upper surface The node of lattice unit is numbered, and all nodes form a dot matrix, and each node corresponds to a unique number, node serial number It is denoted as AI, j, wherein, i represents the number along the node of curved-surface structure width direction, and j represents 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, remembered Make A 'I, j, and record the D coordinates value of each node in lower surface；3) M node, M respectively, are chosen in all nodes on the upper and lower surface of curved-surface structure>100, M be positive integer, in upper and lower table Each node node corresponding on lower surface on the identical and selected upper surface of number of nodes that face is chosen is along curved surface The number of the number node identical, along curved-surface structure length direction of the node in structure width direction is identical, records selected save The coordinate value of point, a group node is denoted as by corresponding two nodes that upper and lower surface is chosen；4), according to the coordinate value of M group nodes selected in step 3), using linear interpolation method by selected upper and lower surface Line between corresponding each group of group node is divided into N deciles, N>1, and N is positive integer, and every layer of M Along ent is linked to be one Curved-surface structure through-thickness is then divided into N number of sheet body by a curved surface；5) corresponding M node on upper and lower surface, is marked in each sheet body, is denoted as P respectivelyI, j, P 'I, j, then any group in sheet body The X-axis coordinate of corresponding node is identical in the upper and lower surface of node and curved-surface structure, Z axis coordinate value is identical；Then line is used Property interpolation method obtain on each sheet body per group node PI, 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 normal intersect with the upper and lower surface of sheet body where excessively each midpoint is done, two intersection points of record 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) mesh generation, is carried out to the middle face of each sheet body using the 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 the rule and benchmark identical with step 1), mesh generation is re-started to the middle face after expansion, and to expansion Grid node in plane into line renumbering, is denoted as KI ', j ', number of the i ' expressions along the node of curved-surface structure width direction, J ' represents the number along the node of curved-surface structure length direction, and according in three-dimensional cartesian coordinate system OXYZ in step 1), record is heavy The coordinate value (x ', y ", z ') of each grid after new division, wherein, y " is the thickness value at the new node in the expansion plane；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 integration 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 to curved-surface structure, upper and lower surface is divided into grid, the thickness change between neighboring grid cells node is preferably 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), to curved-surface structure, upper and lower surface carries out mesh generation, and 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 on the upper and lower surface of curved-surface structure, 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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| CN111027250A (en) * | 2019-12-11 | 2020-04-17 | 大连理工大学 | Special-shaped curved surface reinforced shell modeling method based on grid deformation technology |
| CN112665548A (en) * | 2020-12-14 | 2021-04-16 | 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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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN112665548A (en) * | 2020-12-14 | 2021-04-16 | 天津市捷威动力工业有限公司 | Method for quantitatively determining flatness of battery core |
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| 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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| CN108225243B (en) | 2019-09-10 |
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