CN116663205B - Construction method and conversion method for cross section line of complementary surface of complex process - Google Patents
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Abstract
The invention provides a construction method and a conversion method of a complex process complementary surface cross-section line, comprising the following steps: determining a starting point, a starting point tangential direction, a finishing point and a finishing point tangential direction of the section line according to the product surface and the pressing surface; generating an initial spline section line based on a bridging mode according to the starting point, the starting point tangential direction, the end point and the end point tangential direction; judging whether the initial spline section line meets the requirement, if so, the initial spline section line is a constructed section line; if not, a free section line is constructed by adjusting the control point on the initial spline section line. The invention constructs the 'free section line' based on spline curves, improves the expression capacity of the section line, and simultaneously, the supplementary surface of the 'free section line' structure has higher continuous order, which is more beneficial to the even flow of the plate.
Description
Technical Field
The invention relates to the field of manufacturing of automobile process complementary surfaces, in particular to a method for constructing a cross section line of a complex process complementary surface and a conversion method.
Background
The automobile panel technology supplementary surface has complex shape and larger size and is mainly composed of free curved surfaces in three-dimensional space. As an important component of the stamping process design, it has an important influence on the process design quality and efficiency of the automobile panel. In the design process of the actual process complementary surface, a plurality of various cross section lines are needed to be inserted according to the complex product shape and deformation characteristics to control the shape of the complementary curved surface, so that the purpose of fully and uniformly deforming the material is achieved.
Due to the complex profile and high demands on the quality of the shaping of the automotive panel products, it is necessary to design a rather complex section line to control the shape of the process make-up surface. In the existing section line design method, a standard section line formed by combining a straight line section and an arc section is generally adopted, however, the expression capability of the mode is insufficient for a complex control free curve. In addition, the standard section line can only reach G1 continuity, and the free section line formed by spline curves can reach continuity of any order, that is to say, the process supplementing surface generated by spline curves can reach continuity of high order, such as G2 continuity, so that the plate material is smoother when flowing through a fillet area, and the stress concentration of the area is weakened, thereby ensuring smooth stamping forming.
The simple adoption of spline curves as section lines also has problems: the spline curve is non-parametric, the shape of the section line can only be controlled by dragging points, and a designer cannot accurately control the shape of the spline curve, so that editing is difficult. Therefore, there is a need for a method of reciprocal transformation of the "free section line" and the "standard section line" to accommodate the advantages of both section lines.
Disclosure of Invention
Aiming at the technical problems in the prior art, the invention provides a construction method and a conversion method of a cross section line of a complementary surface of a complex process.
According to a first aspect of the present invention, there is provided a complex process complementary surface cross-sectional line construction method comprising:
determining a starting point, a starting point tangential direction, a finishing point and a finishing point tangential direction of the section line according to the product surface and the pressing surface;
generating an initial spline section line based on a bridging mode according to the starting point, the starting point tangential direction, the end point and the end point tangential direction;
judging whether the initial spline section line meets the requirement, if so, the initial spline section line is a constructed section line; if not, a free section line is constructed by adjusting the control point on the initial spline section line.
On the basis of the technical scheme, the invention can also make the following improvements.
Optionally, determining whether the initial spline cross-section line meets a requirement includes:
performing finite element simulation on the initial spline section line, and outputting each defect area if defects exist, wherein the initial spline section line meets the requirements; otherwise, the requirements are not satisfied.
Optionally, said constructing a free section line by adjusting a control point on said initial spline section line comprises:
and constructing a free section line by dragging the control points on the initial spline section line and/or deleting the control points on the initial spline section line.
Optionally, the dragging the control point on the initial spline section line includes:
with dragged control point P 0 The origin of the local coordinate system is that the transverse axis of the local coordinate system is that the section line of the initial spline is at P 0 Tangential to the horizontal axis, the vertical axis being perpendicular to the horizontal axis;
converting the initial spline section line into a local coordinate system, dragging the control point P 0 Moving on the longitudinal axis to obtain a target point P t Wherein drag control point P 0 Is limited to P 0 Front and rear two control points P of (a) 1 and P2 Between them;
let P be 1 and P2 The abscissa in the local coordinate system is x respectively 1 and x2 ，P 1 and P2 The projection points to the horizontal axis are respectively P 1′ and P2 ′；
For a point (x, y) on the initial spline cross-section line, the corresponding point on the target curve is (x, y +)）；
wherein ,by constructing a transition curve in a local coordinate system, the transition curve being denoted by P t The boundary is divided into two sections, each section is determined by adopting a two-point two-tangential structure bridging curve, and tangential constraint of the bridging curve is T t (1, 0); the two endpoints of the left transition curve are P respectively 1′ and Pt The two end points of the right transition curve are respectively P t and P2 ′；
After the local coordinate system has calculated the target curve, it needs to be converted to the global coordinate system to obtain the constructed free section line.
Optionally, the deleting the control point on the initial spline section line includes:
deleting the control point P on the initial spline section line 0 Based on control point P 0 Two control points P in front and back 1 and P2 P 1 and P2 Tangential to the point, determining a target curve based on a bridging manner;
and converting the target curve into a global coordinate system to obtain a constructed free section line.
According to a second aspect of the present invention, there is provided a method of converting a free section line to a standard section line, comprising:
constructing a free section line based on a complex process complementary surface section line construction method;
determining an error sample point column comprising a plurality of error points；
Converting the free cross-sectional line into a candidate standard cross-sectional line based on each error point, the candidate standard cross-sectional line comprising a plurality of straight line segments and a plurality of circular arc segments;
counting the sum n of the segment numbers of the straight line segment and the circular arc segment in each candidate standard section line;
according to the error pointAnd the sum of the segment numbers n, calculating the matching degree of each candidate standard section line;
and taking the candidate standard section line with the highest matching degree as the standard section line after the free section line conversion.
Optionally, the determining an error sampling point column includes a plurality of error pointsComprising:
setting the maximum errorAnd error sample number +.>Determining an error sampling point column by a uniform sampling mode, wherein the error sampling point column comprises k error points +.>, wherein ：
。
optionally, the counting the sum n of the segment numbers of the straight line segment and the circular arc segment in each candidate standard section line includes:
after converting the free section line into a candidate standard section line based on each error point, the conversion result is counted，/>For the i-th error point, +.>Is the sum of the number of straight line segments and circular arc segments of the ith candidate standard section line after conversion.
Optionally, according to the error pointSum of the segment numbers n, calculate the matching degree of each candidate standard section lineComprising:
；
wherein ,for the i-th error point, +.>Is the sum of the number of straight line segments and circular arc segments of the ith candidate standard section line after conversion, { circumflex over }>Matching degree for section line of ith candidate standard, +.>Is->Weight coefficient of (c) in the above-mentioned formula (c).
The construction method and the conversion method of the cross section line of the complementary surface of the complex process, provided by the invention, are based on the spline curve to construct the free cross section line, so that the expression capacity of the cross section line is improved, and meanwhile, the continuous order of the complementary surface of the free cross section line is higher, so that the uniform flow of the plate is facilitated. And a bidirectional conversion method of a standard section line and a free section line facing the automobile panel complementary surface is provided, the advantages of the standard section line and the free section line are combined, and the requirements of the complex complementary surface creation and editing of the automobile panel are better met.
Drawings
FIG. 1 is a flow chart of a method for constructing a cross-sectional line of a complementary surface of a complex process;
FIG. 2 is a schematic view of the overall constraint of a cross-sectional line;
FIG. 3 is a schematic illustration of an initial spline section line;
FIG. 4 is a diagram of a global coordinate system and a local coordinate system established when dragging a control point;
FIG. 5 is a schematic illustration of a drag control point configuration free section line;
FIG. 6 is a schematic illustration of a delete control point configuration free cross section line;
FIG. 7 is a schematic flow chart of a method for converting a free section line to a standard section line according to the present invention;
FIG. 8 is a schematic representation of a candidate standard cross-section line generated.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention, and it is apparent that the described embodiments are some embodiments of the present invention, but not all embodiments of the present invention. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention. In addition, the technical features of each embodiment or the single embodiment provided by the invention can be combined with each other at will to form a feasible technical scheme, and the combination is not limited by the sequence of steps and/or the structural composition mode, but is necessarily based on the fact that a person of ordinary skill in the art can realize the combination, and when the technical scheme is contradictory or can not realize, the combination of the technical scheme is not considered to exist and is not within the protection scope of the invention claimed.
FIG. 1 is a flow chart of a method for constructing a cross-sectional line of a complementary surface of a complex process, which is provided by the invention, as shown in FIG. 1, and comprises the following steps:
step 1, determining a starting point, a starting point tangential direction, a finishing point and a finishing point tangential direction of a section line according to a product surface and a material pressing surface;
and 2, generating an initial spline section line based on a bridging mode according to the starting point, the starting point tangential direction, the ending point and the ending point tangential direction.
It can be appreciated that the initial spline section line is generated from the overall constraint of the complex process section line of the automobile panel, wherein the overall constraint of the section line can be seen in fig. 2, and the overall constraint of the section line includes: the total height and the total width, the tangential direction of the product surface and the tangential direction of the pressing surface, the generated cross section line consists of a straight line section and an arc section, the cross section line needs to be kept in tangential continuity with the product surface and the pressing surface at the end part, and the tangential continuity needs to be kept between the line sections forming the cross section line.
The initial spline section line is generated by first inputting the integral constraint of the target position, namely the point constraint and tangential constraint at the head and tail end points, respectively, as the starting pointOrigin tangential->Endpoint->Endpoint tangential->. According to the starting point->Origin tangential->Endpoint->Endpoint tangential->An initial spline section line is generated in a bridging mode, and the generated initial spline section line is shown in fig. 3.
Step 3, judging whether the initial spline section line meets the requirement, if so, the initial spline section line is a constructed section line; if not, a free section line is constructed by adjusting the control point on the initial spline section line.
As an embodiment, determining whether the initial spline section line meets a requirement includes: performing finite element simulation on the initial spline section line, and outputting each defect area if defects exist, wherein the initial spline section line meets the requirements; otherwise, the requirements are not satisfied.
It can be understood that, for the generated initial spline section line, whether the generated initial spline section line meets the design requirement is judged, specifically, finite element simulation is performed on the generated initial spline section line, each defect area is output after simulation, different defect areas are presented by adopting different colors, whether the generated initial spline section line meets the requirement is judged according to whether the defect areas are output by the finite element simulation, and the process is ended. If not, an adjustment of the initial spline section line is required.
As an embodiment, said constructing a free section line by adjusting a control point on said initial spline section line comprises: and constructing a free section line by dragging the control points on the initial spline section line and/or deleting the control points on the initial spline section line.
It will be appreciated that the initial spline section line is adjusted by changing the shape of the section line, primarily by dragging or deleting control points on the section line.
Referring to fig. 4, a global coordinate system is established, and the tangential direction of the product surface is taken as the x-axis, the direction perpendicular to the x-axis is taken as the y-axis, and the established global coordinate system is taken as the XY-axis. As an embodiment, dragging the control point on the initial spline section line includes: with dragged control point P 0 The origin of the local coordinate system is that the transverse axis of the local coordinate system is that the section line of the initial spline is at P 0 Tangential direction of the location, vertical axis perpendicular to horizontal axis, buildThe vertical local coordinate system is X 'Y', the initial spline section line is converted into the local coordinate system, and the control point P is dragged 0 Moving on the longitudinal axis to obtain a target point P t Wherein drag control point P 0 Is limited to P 0 Front and rear two control points P of (a) 1 and P2 Between them.
Wherein, referring to FIG. 5, suppose P 1 and P2 The abscissa in the local coordinate system is x respectively 1 and x2 ，P 1 and P2 The projection points to the horizontal axis are respectively P 1′ and P2 'A'; for a point (x, y) on the initial spline cross-section line, the corresponding point on the target curve is (x, y +)) The method comprises the steps of carrying out a first treatment on the surface of the Wherein (1)>By constructing a transition curve in a local coordinate system, the transition curve being denoted by P t Is divided into two sections, respectively P 1 ’P t and Pt P 2 ' each section is determined by adopting a two-point two-tangential construction bridging curve, and tangential constraint of the bridging curve is T t (1, 0); the two endpoints of the left transition curve are P respectively 1′ and Pt The two end points of the right transition curve are respectively P t and P2 '. After the local coordinate system has calculated the target curve, it needs to be converted to the global coordinate system to obtain the constructed free section line.
Referring to fig. 6, as an embodiment, the deleting the control point on the initial spline section line includes: deleting the control point P on the initial spline section line 0 Based on control point P 0 Two control points P in front and back 1 and P2 P 1 and P2 Tangential to the point, determining a target curve based on a bridging manner; and converting the target curve into a global coordinate system to obtain a constructed free section line.
It can be understood that when the generated initial spline section line does not meet the requirement, the spline curve adjustment degree of freedom is increased by adding control points; and updating the section line shape by dragging or deleting the control point and adopting a corresponding updating rule. Wherein, adding control points can increase the freedom degree of adjusting the section line. The influence range of the dragging control point on the original section line is between the front control point and the rear control point of the current dragging control point, and a bridging mode is adopted to generate a curve segment in the range. Deleting the control point can reduce the degree of freedom of the adjustment of the section line, so that the section line is smoother. And (3) locally influencing the rule, wherein the influence range is between the front control point and the rear control point, and generating a curve segment in the range by adopting a certain transition function. The shape of the section line is changed by dragging or deleting the control point on the initial spline section line, constituting a free section line.
Referring to fig. 7, the present invention also provides a method for converting a free section line from a standard section line, comprising: step 1', constructing a free section line based on a complex process complementary section line construction method; step 2', determining an error sampling point column, the error sampling point column comprising a plurality of error pointsThe method comprises the steps of carrying out a first treatment on the surface of the Step 3', converting the free section line into a candidate standard section line based on each error point, wherein the candidate standard section line comprises a plurality of straight line segments and a plurality of circular arc segments; step 4', counting the sum n of the segment numbers of the straight line segment and the circular arc segment in each candidate standard section line; step 5', according to the error point +.>And the sum of the segment numbers n, calculating the matching degree of each candidate standard section line; and 6', taking the candidate standard section line with the largest matching degree as the standard section line after the conversion of the free section line.
It will be appreciated that there is also a certain gap between the free section line and the standard section line generated by the means of the aforementioned figures 4, 5 and 6, and therefore, it is necessary to convert the free section line to the standard section line as much as possible, the goal of the conversion being that the error between the converted section line and the standard section line is as small as possible and the number of segments of the converted section line is small.
Thus, during the conversion process, the free cross-section line is converted according to each error point by setting a different error point.
Setting the maximum errorAnd error sample number +.>The program determines the error sampling point column by a uniform sampling mode, namely:
；
for example, if the maximum error is 1.0 and the error sampling number is 5, the error sampling point column is {And = {0.2,0.4,0.6,0.8,1.0}, 5 error points are obtained. Under each error condition, the free section line is converted into candidate standard section lines, wherein each candidate standard section line is composed of a straight line segment and a circular arc segment, see fig. 8. It should be noted that, under each error condition, the specific implementation method of converting the free section line into the candidate standard section line is a mature technical scheme, and reference can be made to the literature of a double-arc fitting algorithm and implementation of a curve equation (Guo Wenlan, et al, university of Harbin university of engineering, 2004), wherein an arc fitting algorithm and implementation scheme for controlling the fitting error are provided.
Counting the sum of the number of straight line segments and circular arc segments of each candidate standard section line, and counting the conversion result，/>For the i-th error point, +.>For the ith candidate after conversionThe sum of the number of straight line segments and circular arc segments of the standard section line.
According to the error pointAnd the sum of the segment numbers n, calculating the matching degree of each candidate standard section line +.>ComprisesSelecting the candidate standard section line with the highest matching degree as the section line after final conversion, and adding ++>Is thatIt should be noted that the weight coefficient of each error point +.>All are the same, and are a constant value, e.g.,the value of (2) may be 10.
The invention provides a construction method and a conversion method of a cross section line of a complementary surface of a complex process, wherein a free cross section line is constructed based on spline curves, so that the expression capability of the cross section line is improved, and meanwhile, the continuous order of the complementary surface constructed by the free cross section line is higher, which is more beneficial to the uniform flow of the plate. And a bidirectional conversion method of a standard section line and a free section line facing the automobile panel complementary surface is provided, the advantages of the standard section line and the free section line are combined, and the requirements of the complex complementary surface creation and editing of the automobile panel are better met.
In the foregoing embodiments, the descriptions of the embodiments are focused on, and for those portions of one embodiment that are not described in detail, reference may be made to the related descriptions of other embodiments.
While preferred embodiments of the present invention have been described, additional variations and modifications in those embodiments may occur to those skilled in the art once they learn of the basic inventive concepts. It is therefore intended that the following claims be interpreted as including the preferred embodiments and all such alterations and modifications as fall within the scope of the invention.
It will be apparent to those skilled in the art that various modifications and variations can be made to the present invention without departing from the spirit or scope of the invention. Thus, it is intended that the present invention also include such modifications and alterations insofar as they come within the scope of the appended claims or the equivalents thereof.
Claims (7)
1. The construction method of the complex process complementary surface cross-section line is characterized by comprising the following steps of:
determining a starting point, a starting point tangential direction, a finishing point and a finishing point tangential direction of the section line according to the product surface and the pressing surface;
generating an initial spline section line based on a bridging mode according to the starting point, the starting point tangential direction, the end point and the end point tangential direction;
judging whether the initial spline section line meets the requirement, if so, the initial spline section line is a constructed section line; if not, constructing a free section line by adjusting the control point on the initial spline section line;
said constructing a free section line by adjusting a control point on said initial spline section line, comprising:
constructing a free section line by dragging control points on the initial spline section line and/or deleting control points on the initial spline section line;
the dragging of the control point on the initial spline section line comprises the following steps:
with dragged control point P 0 The origin of the local coordinate system is that the transverse axis of the local coordinate system is that the section line of the initial spline is at P 0 Tangential to the horizontal axis, the vertical axis being perpendicular to the horizontal axis;
converting the initial spline section line into a local coordinate system, dragging the control point P 0 Moving on the longitudinal axis to obtain a target point P t Wherein drag control point P 0 Is limited to P 0 Front and rear two control points P of (a) 1 and P2 Between them;
let P be 1 and P2 The abscissa in the local coordinate system is x respectively 1 and x2 ，P 1 and P2 The projection points to the horizontal axis are respectively P 1′ and P2 ′；
For a point (x, y) on the initial spline cross-section line, the corresponding point on the target curve is (x, y +)）；
wherein ,by constructing a transition curve in a local coordinate system, the transition curve being denoted by P t The boundary is divided into two sections, each section is determined by adopting a two-point two-tangential structure bridging curve, and tangential constraint of the bridging curve is T t (1, 0); the two endpoints of the left transition curve are P respectively 1′ and Pt The two end points of the right transition curve are respectively P t and P2 ′；
After the local coordinate system has calculated the target curve, it needs to be converted to the global coordinate system to obtain the constructed free section line.
2. The method of claim 1, wherein determining whether the initial spline cross-sectional line meets the requirements comprises:
performing finite element simulation on the initial spline section line, and outputting each defect area if defects exist, wherein the initial spline section line meets the requirements; otherwise, the requirements are not satisfied.
3. The method of claim 1, wherein said deleting control points on said initial spline section line comprises:
deleting the control point P on the initial spline section line 0 Based on control point P 0 Two control points P in front and back 1 and P2 P 1 and P2 Tangential to the point, determining a target curve based on a bridging manner;
and converting the target curve into a global coordinate system to obtain a constructed free section line.
4. A method of converting a free section line to a standard section line, comprising:
constructing a free section line based on the complex process supplemental surface section line construction method of any of claims 1-3;
determining an error sample point column comprising a plurality of error points；
Converting the free cross-sectional line into a candidate standard cross-sectional line based on each error point, the candidate standard cross-sectional line comprising a plurality of straight line segments and a plurality of circular arc segments;
counting the sum n of the segment numbers of the straight line segment and the circular arc segment in each candidate standard section line;
according to the error pointAnd the sum of the segment numbers n, calculating the matching degree of each candidate standard section line;
and taking the candidate standard section line with the highest matching degree as the standard section line after the free section line conversion.
5. The conversion method of claim 4, wherein said determining a column of error samples comprises a plurality of error pointsComprising:
setting the maximum errorAnd error sample number +.>Determining an error sampling point column by a uniform sampling mode, wherein the error sampling point column comprises k error points +.>, wherein ：
。
6. the method according to claim 5, wherein counting the sum n of the numbers of straight line segments and circular arc segments in each candidate standard section line comprises:
after converting the free section line into a candidate standard section line based on each error point, the conversion result is counted，/>For the i-th error point, +.>Is the sum of the number of straight line segments and circular arc segments of the ith candidate standard section line after conversion.
7. The method according to claim 4, wherein the error point is a point of the errorAnd the sum of the segment numbers n, calculating the matching degree of each candidate standard section line +.>Comprising:
；
wherein ,for the i-th error point, +.>Is the sum of the number of straight line segments and circular arc segments of the ith candidate standard section line after conversion, { circumflex over }>Matching degree for section line of ith candidate standard, +.>Is->Weight coefficient of (c) in the above-mentioned formula (c).
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