CN102842147B - Three-dimensional integral wall panel expanding and modeling method - Google Patents

Three-dimensional integral wall panel expanding and modeling method Download PDF

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CN102842147B
CN102842147B CN201210237437.8A CN201210237437A CN102842147B CN 102842147 B CN102842147 B CN 102842147B CN 201210237437 A CN201210237437 A CN 201210237437A CN 102842147 B CN102842147 B CN 102842147B
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wallboard
point
slab
reference field
wall panel
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CN102842147A (en
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张贤杰
司朝润
王俊彪
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Northwestern Polytechnical University
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Abstract

The invention provides a three-dimensional integral wall panel expanding and modeling method, comprising the following steps of: decomposing a geometric integral wall panel model into a plurality of separable geometric bodies, and determining the positions of the separable geometric bodies on an integral wall panel appearance curve surface by projections of characteristic points and characteristic lines on the integral wall panel appearance curve surface; expanding grids of the integral wall panel appearance curve surface by a limited element grid scattering curve surface and a curve surface expanding algorithm to obtain an outline shape and an outline size of an integral wall panel blank; determining the positions of the characteristic points and characteristic line point ranges on the panel blank by an area coordination method; and constructing a geometric panel blank model by virtue of a method with an unchanged relative projection direction, an unchanged relative projection distance and an unchanged relative position relation and according to the characteristic points and the characteristic line point ranges. The method disclosed by the invention realizes the process and the accuracy of an integral wall panel expanding and modeling process, is suitable for expanding and modeling panel blanks of various integral wall panel pieces with complicated appearance curve surfaces, and can improve the efficiency and the precision for designing and manufacturing the integral wall panel in the fields of aerospace and the like.

Description

A kind of three-dimension integrally wallboard launches modeling method
Technical field
The present invention relates to machinery manufacturing technology field, be specially a kind of three-dimension integrally wallboard and launch modeling method.
Background technology
Integral panel is a kind of by the machined one-piece construction bearing member made of monoblock slab, its each textural element (as long purlin, covering strengthen backing plate etc.) is all by carrying out machining acquisition to slab, but not got by Joining Technology by different structure key element, the features such as structure efficiency is high, aerodynamic configuration is smooth, the Operational preparation cycle is short, manufacturing man-hours is few that make Integral Wing Panel have thus.Since the sixties in 20th century, the large and medium-sized aircraft of countries in the world all extensively adopts integral panel as main load-carrying member.
For reducing costs, integral panel generally adopts process manufacture plane wallboard being carried out to Plastic Forming in the industrial production, and this one of them key issue determines the integral plane wallboard corresponding with the required integral panel with spatial form and the shape and size of plane slab.Under the condition adopting three-dimensional computer Computer Aided Design (CAD) technology, the three-dimension integrally wallboard geometric model with spatial form that will provide according to deviser exactly, determine the geometric model of the plane slab of its correspondence, namely unfolding calculation and modeling are carried out to the three-dimension integrally wallboard geometric model with space curved surface shape.Because integral panel is one-piece construction, if shaped rear wall board size has deviation and need revise its edge, then easily cause structure misplace or cause damage to structure, therefore determine that accurate plane slab is significant for the quality and efficiency ensureing integral panel figuration manufacture.Along with the development of present generation aircraft wing aerodynamic profile, wing appearance curved surface becomes increasingly complex, the local shape of a saddle appearance curved surface being with bending, complicated variable curvature hyperbolical curved surface are continuously there is, and the architectural feature on aircraft wing integral panel also becomes increasingly complex, this make the unfolding calculation of aircraft manufacturing field integral panel slab and modeling also more and more difficult.
Summary of the invention
The technical matters solved
For solving prior art Problems existing, the present invention proposes a kind of three-dimension integrally wallboard and launching modeling method, the three-dimension integrally wallboard with space curved surface shape can be expanded into integral plane wallboard.
Technical scheme
Process of the present invention is divided into following 6 steps: three-dimension integrally wallboard geometric model decomposes, characteristic curve and feature point extraction, characteristic curve and unique point projects on integral panel appearance curved surface, the expansion of three-dimension integrally wallboard appearance curved surface, projection properties line point range and the position calculation of unique point in slab plane, plane slab geometry modeling.
Technical scheme of the present invention is:
Described a kind of three-dimension integrally wallboard launches modeling method: it is characterized in that: comprise the following steps:
Step 1: three-dimension integrally wallboard geometric model is decomposed into several separable solids: described separable solid is have relative to wallboard reference field the geometry that single thickness or thickness linearly changes, and described wallboard reference field is the function external surface of three-dimension integrally wallboard;
Step 2: characteristic curve and the unique point of determining single separable solid: get other the separable solids not adjacent on interface between separable solid and separable solid and the face not on function external surface is interface, then the edge line at interface is characteristic curve, and the intersection point of edge line is unique point;
Step 3: project on wallboard reference field according to the normal direction of wallboard reference field by characteristic curve and unique point, wallboard reference field obtains projection properties line and the projection properties point of each separable solid;
Step 4: by discrete for the projection properties line on wallboard reference field be projection properties line point range, in same projection properties line point range, adjacent 2 length along projection properties line are no more than 10% of this projection properties line length;
Step 5: by discrete for wallboard reference field be finite element triangle element mesh, the unit length of side is no more than 10% of wallboard reference field minimum profile curvature radius, obtains the space curved surface grid of wallboard reference field; Adopt curved surface unwinding method by the space curved surface mesh flattening of wallboard reference field, obtain the face profile surface mesh of wallboard slab;
Step 6: adopt area coordinate method to calculate projection properties line point range and the coordinate of unique point in the face profile of wallboard slab:
P (x p, y p, z p) point be projection properties line point range in space curved surface grid and unique point any point, p 1(x 1, y 1, z 1), p 2(x 2, y 2, z 2), p 3(x 3, y 3, z 3) be triangular element three summits, p point place, the area coordinate of p point is (ξ 1, ξ 2, ξ 3), wherein ξ 1=S 1/ S, ξ 2=S 2/ S, ξ 3=S 3/ S, S 1for Δ PP 2p 3area, S 2for Δ PP 1p 3area, S 3for Δ PP 1p 2area, S is Δ P 1p 2p 3area;
P ' (x ', y ') point is the corresponding point of p point in the face profile surface mesh of wallboard slab, p ' 1(x ' 1, y ' 1), p ' 2(x ' 2, y ' 2), p ' 3(x ' 3, y ' 3) be p 1, p 2, p 3the corresponding point of point in the face profile surface mesh of wallboard slab, then p ' point coordinate is: x '=ξ 1x ' 1+ ξ 2x ' 2+ ξ 3x ' 3, y '=ξ 1y ' 1+ ξ 2y ' 2+ ξ 3y ' 3;
Step 7: according to character pair line in step 3 or the contrary projecting direction of projecting characteristic points process and identical projector distance, projection properties line point range in the face profile of wallboard slab and unique point are projected in plane slab space, obtains the characteristic curve point range in plane slab space and unique point; According to the discrete relationship in step 4, the characteristic curve point range in plane slab space is connected, obtain the characteristic curve in plane slab space; Build the interface in plane slab space according to character pair line, unique point and boundary's relation of plane in step 2, determine according to the relation between step 2 median surface with corresponding separable solid and build the separable solid in plane slab space; According to the corresponding relation in step 1 between each separable solid, by each separable solid combination in plane slab space, obtain wallboard plane slab geometric model.
Described a kind of three-dimension integrally wallboard launches modeling method: it is characterized in that: curved surface unwinding method is the Optimal flattening of complex surfaces algorithm based on element deformation energy.
Beneficial effect
For solving the expansion modeling problem in the fields such as Aero-Space with the integral wall plate of complex appearance curved surface, integral panel geometric model is decomposed into multiple separable solid by the feature of thickness distribution by the present invention, the position unique point from separable solid extracted of separable solid on integral panel appearance curved surface, the projection of characteristic curve on integral panel appearance curved surface is determined.Adopt finite element grid Discrete Surfaces and adopt Doubly curved surfaces algorithm (such as based on the Optimal flattening of complex surfaces algorithm of element deformation energy) to launch the finite element grid of integral panel appearance curved surface, obtaining contour shape and the size of integral panel plane slab.Utilize area coordinate method determination unique point, characteristic curve point is listed in position on surface plate base.Then according to gained unique point, characteristic curve point range, and the method that constant, the relative projector distance of relative projecting direction is constant, relative position relation is constant is adopted to build wallboard plane slab geometric model.This method achieves integral panel and launches procedure, the precision of modeling process, is applicable to the various slab with the integral wall plate of complex appearance curved surface and launches and modeling, can improve efficiency and precision that the field integral panels such as Aero-Space manufacture and design.
Accompanying drawing explanation
Accompanying drawing 1 is aircraft Integral Wing Panel part
Accompanying drawing 2 is projected in unique point on Integral Wing Panel appearance curved surface and feature point range
The space curved surface grid of accompanying drawing 3 wallboard appearance curved surface
Accompanying drawing 4 is outline line and unique point, the feature point range of Integral Wing Panel plane slab
Accompanying drawing 5 is sketches of Integral Wing Panel plane slab geometry feature
Accompanying drawing 6 is Integral Wing Panel plane slab geometric models
Embodiment
Below in conjunction with specific embodiment, the present invention is described:
This example is aircraft Integral Wing Panel part (Fig. 1), launches modeling method according to three-dimension integrally wallboard:
Step 1: three-dimension integrally wallboard geometric model is decomposed into several separable solids: described separable solid is have relative to wallboard reference field the geometry that single thickness or thickness linearly changes, and described wallboard reference field is the function external surface of three-dimension integrally wallboard.In the present embodiment, the function external surface of three-dimension integrally wallboard is its aerodynamic configuration surface, and decomposing by geometry the separable solid obtaining this part has: 1 wallboard matrix, 9 openings, 23 ribs, 12 buildup areas and 41 are sunk.
Step 2: characteristic curve and the unique point of determining single separable solid: get other the separable solids not adjacent on interface between separable solid and separable solid and the face not on function external surface is interface, then the edge line at interface is characteristic curve, and the intersection point of edge line is unique point.The effect of characteristic curve and unique point is the position of separable solid on plane slab, location.
Step 3: project on wallboard reference field according to the normal direction of wallboard reference field by characteristic curve and unique point, wallboard reference field obtains projection properties line and the projection properties point of each separable solid; Projection properties line and projection properties point are characteristic curve and the position of unique point on wallboard reference field.
Step 4: by discrete for the projection properties line on wallboard reference field be projection properties line point range, in same projection properties line point range, adjacent 2 length along projection properties line are no more than 10% of this projection properties line length.Here the position of projection properties line point column count projection properties line on plane slab is utilized.As shown in Figure 2.
Step 5: utilize the FEM meshing module of commercial finite element software (such as Ansys 12.1 Mesh Generation) by discrete for wallboard reference field for finite element triangle element mesh, the unit length of side is no more than 10% of wallboard reference field minimum profile curvature radius, obtains the space curved surface grid (Fig. 3) of wallboard reference field.Adopt curved surface unwinding method by the space curved surface mesh flattening of wallboard reference field, obtain the face profile surface mesh of wallboard slab.The curved surface unwinding method adopted in the present embodiment is the Optimal flattening of complex surfaces algorithm based on element deformation energy.(document is: Zhang Xianjie, Wang Junbiao, Yang Haicheng. based on the Optimal flattening of complex surfaces algorithm of unit sex change energy. and Northwestern Polytechnical University's journal, 2006,24 (2): 270 ~ 274)
Step 6: adopt area coordinate method to calculate projection properties line point range and the coordinate of unique point in the face profile of wallboard slab:
P (x p, y p, z p) point be projection properties line point range in space curved surface grid and unique point any point, p 1(x 1, y 1, z 1), p 2(x 2, y 2, z 2), p 3(x 3, y 3, z 3) be triangular element three summits, p point place, the area coordinate of p point is (ξ 1, ξ 2, ξ 3), wherein ξ 1=S 1/ S, ξ 2=S 2/ S, ξ 3=S 3/ S, S 1for Δ PP 2p 3area, S 2for Δ PP 1p 3area, S 3for Δ PP 1p 2area, S is Δ P 1p 2p 3area;
P ' (x ', y ') point is the corresponding point of p point in the face profile surface mesh of wallboard slab, p ' 1(x ' 1, y ' 1), p ' 2(x ' 2, y ' 2), p ' 3(x ' 3, y ' 3) be p 1, p 2, p 3the corresponding point of point in the face profile surface mesh of wallboard slab, then p ' point coordinate is: x '=ξ 1x ' 1+ ξ 2x ' 2+ ξ 3x ' 3, y '=ξ 1y ' 1+ ξ 2y ' 2+ ξ 3y ' 3.
The coordinate that area coordinate method obtains makes arbitrary projection properties line point and unique point be positioned at same grid cell afterwards in the pre-deployed and have identical area coordinate afterwards in the pre-deployed relative to this unit.Projection properties line point range in the face profile of wallboard slab and unique point are as shown in Figure 4.
Step 7: according to character pair line in step 3 or the contrary projecting direction of projecting characteristic points process and identical projector distance, projection properties line point range in the face profile of wallboard slab and unique point are projected in plane slab space, obtains the characteristic curve point range in plane slab space and unique point.According to the discrete relationship (syntople namely between each projection properties line point) in step 4, the characteristic curve point range in plane slab space is connected, obtain the characteristic curve in plane slab space.Utilize the appearance profile line of plane slab, characteristic curve and unique point, in CAD software (such as CATIA V5R18), draw the plane slab sketch of wallboard, obtain the sketch (Fig. 5) of each separable solid of wallboard plane slab.
The interface in plane slab space is built according to the syntople at character pair line in step 2, unique point and interface, according to the separable solid in the syntople determination plane slab space between step 2 median surface with corresponding separable solid, and adopt stretching or build each separable solid by methods such as interface envelopes.According to the corresponding syntople in step 1 between each separable solid, by each separable solid combination in plane slab space, obtain wallboard plane slab geometric model (Fig. 6).

Claims (2)

1. a three-dimension integrally wallboard launches modeling method: it is characterized in that: comprise the following steps:
Step 1: three-dimension integrally wallboard geometric model is decomposed into several separable solids: described separable solid is have relative to wallboard reference field the geometry that single thickness or thickness linearly changes, and described wallboard reference field is the function external surface of three-dimension integrally wallboard;
Step 2: characteristic curve and the unique point of determining single separable solid: get other the separable solids not adjacent on interface between separable solid and separable solid and the face not on function external surface is interface, then the edge line at interface is characteristic curve, and the intersection point of edge line is unique point;
Step 3: project on wallboard reference field according to the normal direction of wallboard reference field by characteristic curve and unique point, wallboard reference field obtains projection properties line and the projection properties point of each separable solid;
Step 4: by discrete for the projection properties line on wallboard reference field be projection properties line point range, in same projection properties line point range, adjacent 2 length along projection properties line are no more than 10% of this projection properties line length;
Step 5: by discrete for wallboard reference field be finite element triangle element mesh, the unit length of side is no more than 10% of wallboard reference field minimum profile curvature radius, obtains the space curved surface grid of wallboard reference field; Adopt curved surface unwinding method by the space curved surface mesh flattening of wallboard reference field, obtain the face profile surface mesh of wallboard slab;
Step 6: adopt area coordinate method to calculate projection properties line point range and the coordinate of unique point in the face profile surface mesh of wallboard slab:
P (x p, y p, z p) point be projection properties line point range in space curved surface grid and unique point any point, p 1(x 1, y 1, z 1), p 2(x 2, y 2, z 2), p 3(x 3, y 3, z 3) be triangular element three summits, p point place, the area coordinate of p point is (ξ 1, ξ 2, ξ 3), wherein ξ 1=S 1/ S, ξ 2=S 2/ S, ξ 3=S 3/ S, S 1for Δ PP 2p 3area, S 2for Δ PP 1p 3area, S 3for Δ PP 1p 2area, S is Δ P 1p 2p 3area;
P ' (x ', y ') point is the corresponding point of p point in the face profile surface mesh of wallboard slab, p ' 1(x ' 1, y ' 1), p ' 2(x ' 2, y ' 2), p ' 3(x ' 3, y ' 3) be p 1, p 2, p 3the corresponding point of point in the face profile surface mesh of wallboard slab, then p ' point coordinate is: x '=ξ 1x ' 1+ ξ 2x ' 2+ ξ 3x ' 3, y '=ξ 1y ' 1+ ξ 2y ' 2+ ξ 3y ' 3;
Step 7: according to character pair line in step 3 or the contrary projecting direction of projecting characteristic points process and identical projector distance, projection properties line point range in the face profile surface mesh of wallboard slab and unique point are projected in plane slab space, obtains the characteristic curve point range in plane slab space and unique point; According to the discrete relationship in step 4, the characteristic curve point range in plane slab space is connected, obtain the characteristic curve in plane slab space; Build the interface in plane slab space according to character pair line, unique point and boundary's relation of plane in step 2, determine according to the relation between step 2 median surface with corresponding separable solid and build the separable solid in plane slab space; According to the corresponding relation in step 1 between each separable solid, by each separable solid combination in plane slab space, obtain wallboard plane slab geometric model.
2. a kind of three-dimension integrally wallboard according to claim 1 launches modeling method: it is characterized in that: curved surface unwinding method is the Optimal flattening of complex surfaces algorithm based on element deformation energy.
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