CatiaV5曲面变形初探ppt课件

1、1曲面优化工具命令曲面优化工具命令Working With the Generative Shape Optimizer WorkbenchBumpWrap CurveWrap SurfaceShape Morphing2曲面优化工具命令曲面优化工具命令BumpBeforeAfter变形中心：中心点处变形量最大，向外渐变，直至边境处为0。变形方向：缺省为曲面法向。变形间隔 ：中心点沿变形方向的最大变形间隔 。曲面鼓包Bump：经过变形生成鼓包。需定义变形范围，变形中心点，变形方向，变形大小。变形边境：必需是落在曲面上的曲线。变形边境延续性：变形鼓包在边境处与原始曲面的延续性，可以是点延续，切矢

2、延续，曲率延续。投影方向：假设变形中心点不在曲面上，那么将该点沿投影方向向曲面投影得到的点作为实践变形中心。中心曲率：缺省为1图示A；1，面型趋于峻峭图示C。3This task shows how to deform surfaces basing the deformation on curve wrapping, that is matching each reference curve onto a target curve.The deformation is then defined by the transformation of the reference curves int

3、o target curves.根据曲线变形Wrap curve：参考两个知曲线的相对关系对原始曲面进展变形，从而得到变形结果。知曲线不用落在原始曲面上。曲面优化工具命令曲面优化工具命令Wrap Curve 先选参考曲线，再选目的曲线，不能打乱，选完一对后在此显示。You must always select successively a reference then a target curve to define a pair. You cannot select all reference curves, then all target curves for example.When s

4、everal pairs of curves are selected, they must be ordered, not randomly selected. 多组线的选择须留意顺序。Reference curves should not intersect each other, nor should the target curves should intersect each other. 参考曲线之间或目的曲线之间不能相交。Reference and target curves can be multi-cells. Joined, blended, or matched curv

5、es, for example, can be used as reference or target curves.参考曲线或目的曲线可以是组合曲线。 BeforeAfter4Curve Wrapping Deformation with Fixed Reference曲线变形之固定参考曲线：思索到在很多场所下，需求与周边曲面坚持延续性，此时可以运用经过固定参考曲线，并指定延续类型，点延续，切矢延续或曲率延续。详细操作：选择参考曲线后，将鼠标移至“ReferenceXXX字样上，右键弹出下拉菜单，并选择“Fixed reference curve，同时在对话框里将自动跳过目的曲线的配对，直接

6、换行进入下一个配对的选择，如以下图。并不只是首末参考曲线能设置固定，中间的也可以，只是不能进展延续性约束。曲面优化工具命令曲面优化工具命令Wrap Curve 目的曲线空出延续性的选择右键弹出菜单右键弹出菜单也可以在此勾也可以在此勾选，效果一样选，效果一样5Editing a Deformed Surface曲线变形之修正编辑：包括添加或移除参考曲线-目的曲线配对，固定参考曲线，添加约束等。关于约束：只可以对首末参考曲线进展延续性的约束，但不能保证完全约束到位，有时能够只是近似。曲面优化工具命令曲面优化工具命令Wrap Curve Ref1：固定，曲率：固定，曲率Ref3：固定：固定Ref2：

7、无目的曲线无目的曲线无目的曲线无目的曲线6曲面优化工具命令曲面优化工具命令Wrap Curve 关于脊线：默许第一条参考曲线即为脊线，但脊线假设过短，如小于曲面的边境框，那么系统会自动延伸关于脊线：默许第一条参考曲线即为脊线，但脊线假设过短，如小于曲面的边境框，那么系统会自动延伸脊线，相应的其它配对曲线也会自动作延伸。也可以选择知曲线作为脊线。脊线，相应的其它配对曲线也会自动作延伸。也可以选择知曲线作为脊线。关于投影方向：在下一页有详细描画。系统自动计算方法：脊线与法平面的交点为关于投影方向：在下一页有详细描画。系统自动计算方法：脊线与法平面的交点为P1，最后一条参考曲线，最后一条参考曲线与法

8、平面的交点为与法平面的交点为P2，投影方向定义为在法平面内，投影方向定义为在法平面内，P1P2连线的垂直方向。连线的垂直方向。7How Is the Deformation Computed ?The deformation is computed in each plane P, normal to the spine. By default the spine is the first reference curve, but you can select a new spine using the Spine field in the Reference tab. In each pla

9、ne P, the system computes the intersection between the plane and each curve.A curve (Cr) is created between the first intersection point (Ir 1) and the last intersection point (Ir n) on reference curves, passing through all the intersection points between these two.Similarly, a curve (Ct) is created

10、 passing through all the intersections points between the first (It 1) and the last intersection point (It n) on target curves. Then, for each point Q, resulting from the intersection of the surface to be deformed with the plane, Q is projected onto the curve Cr according to the projection direction

11、 (dir). This projection direction is the vectorial product of: vector(lspine, lr2) vector normal to P.The result of the projection of point Q is the point Qr, which parameter on Cr is v.Similarly, a point Qt is created on the curve Ct, with the same v parameter as point Qr on curve Cr .Then Qd, that

12、 is the transformation of point Q according to the wrap curve deformation, is obtained by adding: Q+vector(Qr,Qt)曲面优化工具命令曲面优化工具命令Wrap Curve 3D view, where: r1, r2 are the reference curvest1, t2 are the target curvesP is a plane normal to the spine Planar view, where: Ir1: is the intersection between

13、 P and r1 Ir2: is the intersection between P and r2It1: is the intersection between P and t1It2: is the intersection between P and t2 8曲面优化工具命令曲面优化工具命令Wrap Curve 3D view, where: r1, r2 are the reference curvest1, t2 are the target curvesP is a plane normal to the spine Planar view, where: Ir1: is th

14、e intersection between P and r1 Ir2: is the intersection between P and r2It1: is the intersection between P and t1It2: is the intersection between P and t2 曲线变形之原理：首先，一切的变形都在脊线的法平面内进展。曲线变形之原理：首先，一切的变形都在脊线的法平面内进展。一切参考曲线与法平面的交点连线记为一切参考曲线与法平面的交点连线记为Cr，一切目的曲线与法平面的交点连线记为，一切目的曲线与法平面的交点连线记为Ct；脊线与法平面的交点记为脊线

15、与法平面的交点记为Is，最后一条参考曲线与法平面的交点记为，最后一条参考曲线与法平面的交点记为In，方向，方向dir与与“IsIn连线垂直；连线垂直；曲面与法平面的交线的恣意一点记为曲面与法平面的交线的恣意一点记为Q，将，将Q沿方向沿方向dir向向Cr投影，得到投影，得到Qr，Qr在在Cr上的位置记为上的位置记为v；根据根据V值，在值，在Ct上找到上找到Qt点，将点，将QrQt记为矢量记为矢量V；以以Q为起点，根据矢量为起点，根据矢量V，得到最终变形点，得到最终变形点Qd。Q的投影点的投影点Qr，其在，其在曲线上的位置记为曲线上的位置记为v.CrCt9BeforeAfterWrap Surfa

16、ce ：Deforming Surfaces According to Surface WrappingThis task shows how to deform surfaces basing the deformation on the projection of the element to be deformed onto two definition surfaces. 根据曲面变形Wrap surface：根据两个知曲面的关系产生变形，从而得到变形结果。曲面优化工具命令曲面优化工具命令Wrap Surface BeforeAfter共有3种曲面变形方式：3D：Normal：With

17、 direction：3DNormalWith direction103D变形法：以一点A为例，将点A往参考曲面上投影得到投影点B。自动寻觅点B在目的曲面上的匹配点C，直线段BC即为变形间隔 值,记为L。将点A沿BC方向平移L，即得到变形点D曲面优化工具命令曲面优化工具命令Wrap Surface 曲面变形方式之3D：曲面变形方式之Normal：Normal变形法：以一点A为例，将点A往参考曲面上投影得到投影点B，直线段BC即为变形间隔 值,记为L 。自动寻觅点B在目的曲面上的匹配点C。将点C沿该点法向平移L，即得到变形点D11The deformed point is computed as

18、 follows: Q = P + (Pts - Prs)。You need to select a deformation direction (here Plane.1):曲面优化工具命令曲面优化工具命令Wrap Surface 曲面变形方式之With direction：3D变形法：以点P为例，将点P沿指定方向在参考曲面和目的曲面上分别投影，得到投影点Prs和点Pts，直线段PrsPts即为变形间隔 值,记为L 。将点P沿投影方向的反方向平移L，即得到变形点Q。When the definition surfaces (reference or target surface) are t

19、oo short to allow the projection of the surface to deform, these surfaces are automatically extrapolated providing they are mono-cell. The size of the resulting element may not be identical to that of the initial element, if the reference and the target surfaces do not have the same size. Reference

20、and target surfaces must be made up mono-cell elements for the 3D and Normal types, however they can be made up multi-cell elements for the With direction type. 参考曲面和目的曲面通常要比原始曲面大，假设小于原始曲面，系统会自动延伸以便能找到相应的投影点，但前提是这些面须是单面。变形结果面的大小能够与原始曲面有差别，这取决于参考曲面和目的曲面的相对大小。据此，假设希望变形后的结果尺寸不发生较大变化，就需求选择适宜的参考曲面和目的曲面。对

21、于3D和Normal两个方式，参考曲面和目的曲面必需都是单面。但With direction方式可以运用多面片组合体。12This task shows how to deform surfaces basing the deformation on shape morphing, that is matching each reference curve or point (reference elements) onto a target curve or point (target elements).The elements used for the deformation do no

22、t necessarily lie on the initial surface. 曲面变形Shape Morphing：根据知参考曲线或参考点与目的曲线或目的点之间的匹配关系，对知曲面进展变形处置，从而得到变形结果。曲面优化工具命令曲面优化工具命令Shape Morphing Basic shape morphing deformation先选择知曲面，然后按先选择知曲面，然后按“参考曲线目的曲线顺序输入曲线，假设有必要可以随时进展交换，最后参考曲线目的曲线顺序输入曲线，假设有必要可以随时进展交换，最后“Preview，预览时会显示参考曲线与目的曲线之间的匹配关系，以绿色虚线表示。，预览时会显示参考曲线与目的曲线之间的匹配关系，以绿色虚线表示。13普通参考曲线与目的曲线是成对出现，但也不尽然，可以只选参考曲线，不选目的曲线。普通参考曲线与目的曲线是成对出现，但也不尽然，可以只选参考曲线，不选目的曲线。施加约束：假设目的曲线已选择的话，约束将只针对目的曲线，故目的曲线需求落在约束支持面上。可施加约束：假设目的曲线已选择的话，约束将只针对目的