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Bend It Like ... A CrossCurve

Tushar Suradkar
www.oocities.org/SeGuruCool

  segurucool @ indiatimes.com


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    Cross Curve - Cross Breed

    CrossCurve : Creates a 3-D curve at the intersection of two curves.
    - Solid Edge Help.

    What does that mean ?
    Everyone knows, its always a point that is formed at the intersection of two curves.

    So how exactly does a curve forms at the interection of two other curves. Is it a cross-breed ?

    Well, CrossCurve is a powerful tool to draw a 3D curve.





    What is a 3D Curve

    There are four other distinct ways Solid Edge allows you to draw curves :

  • Sketching - Lines, arcs, circles or curve in any refrence plane. All curves drawn in a plane are 2D curves.


  • Keypoints Curve - Using this method it is possible to create both 2D and 3D curves.
    You need to key in x-, y- and z-coordinates of the points lying on the desired curve.


  • Curve by Table - Same as keypoint curve and here too it is possible to create both 2D and 3D curves.


  • Contour Curve - Draw a curve directly onto a surface. Depending on whether the surface is flat or curved, the curve drawn is 2D or a 3D.


  • In short, a 3D curve does not lie in a single plane, but it travels in 3D space.

    How is a Cross Curve Different

    Cross curve formation is different from the aforesaid four methods, in that, it uses existing curves to form a new curve.

    The other four methods of curve formation do it from scratch, either by keying in point coordinates or picking points with mouse.


    Significance of Cross Curve

    CrossCurve is actually bending of flat curves, wherein a flat (2D) curve bends another 2D curve to form a 3D curve.

    The two curves should necessarily lie in two different planes, preferably mutually perpendicular planes.

    In other words, if you project a CrossCurve onto the reference planes, it will create its component curves.

    Applications of Cross Curve

    Take the case of a mountain bike handlebar.

    A severely indepth tutorial on creating this object using a CrossCurve is Here.





    Mountain bike HandleBar

    Top view of the handlebar is as shown in figure.






    HandleBar - Top View

    Drawing an appropriate curve in the x-y plane and sweeping a circle along it would result in a flat bar bent at various places.

    See figure.





    HandleBar - Front View

    The front view shows that the handlebar is actually bent towards the ends.

    See figure





    HandleBar - Flat Curves

    Begin with creating two flat curves in two mutually perpendicular planes.

    each flat curve represents a sort of standard view of the final handlebar.





    HandleBar - Cross Curve

    A cross curve then easily be created using the two flat curves.

    In the adjacent figure, note how the crosscurve is not lying in any of the two planes of its component flat curves.

    The crosscurve travels in 3D space.





    HandleBar - True Shape

    Creating a swept protrusion along this curve gives the true shape of the desired handle bar.





    Helmet WindShield

    It is not that only open curves be bent.

    It is possible to bend closed curves too.

    Take the case of the transperant windshield of a helmet shown in picture besides.





    WindShield Surface

    This is a bent surface as shown.





    The plane Surface

    The outline of the plane surface is a closed sketch.

    This sketch is drawn in a vertical plane ie. the curve is a 2D curve.





    The Bending Curve

    The other curve that bends the closed curve is an arc.

    ie. the other (bender) curve is also a 2D curve.

    The second curve is drawn in a plane perpendicular to the plane of the earlier curve.





    Bend the Curve

    Using crosscurve, the closed curve is effectively bent by the arc.

    Later a surface is fitted along the edges of the cross (bent) curve.

    The easiest way to do this is by using the Bounded Surface or the BlueSurf.


    So next time you want a curved surface from a flat one, bend it using a ..... CrossCurve.





    Tushar Suradkar     segurucool @ indiatimes.com

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