2019-02-13 05:28 PM - last edited on 2022-09-26 10:57 PM by Daniel Kassai
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2020-11-17 03:00 PM
2020-11-18 08:52 PM
LaszloNagy wrote:Yes it is. But now reading your description again I realize it's more complicated.
Peter,
So if I understand correctly, we take the plane to which the V axis is the normal vector and which goes through the origin point of the V axis (any line in that plane is perpendicular to V). Then we take the vertical plane that goes through the V axis, and the W axis will lie in the intersection line of these two planes, and the W axis always points upwards. Is that correct?
2020-11-19 12:31 PM
2020-11-22 02:18 PM
Peter wrote:
LaszloNagy wrote:Yes it is. But now reading your description again I realize it's more complicated.
Peter,
So if I understand correctly, we take the plane to which the V axis is the normal vector and which goes through the origin point of the V axis (any line in that plane is perpendicular to V). Then we take the vertical plane that goes through the V axis, and the W axis will lie in the intersection line of these two planes, and the W axis always points upwards. Is that correct?
V is the normal of the bisector plane, not the vector from the previous point. Let's call that vector T.
The bisector plane is important, rotation is defined using the UVW system.
The profile size and shape is only correct at the midpoint if there is no twist along T (W's are parallel at both ends). Otherwise it's just an approximation of that, as we don't have points in the middle.
I realize the most misleading thing in the documentation is using u, w for the profile coordinates, they are not along the UW axes. uw (perpendicular to T) is being projected to UW, using an orientation so that u' matches U. As a result of projecting a plane to a non-parallel plane, w' might not be parallel with W, the angle between u'w' might be non-perpendicular.
2020-11-23 10:37 AM
LaszloNagy wrote:@LazloPeter wrote:
LaszloNagy wrote:Yes it is. But now reading your description again I realize it's more complicated.
Peter,
So if I understand correctly, we take the plane to which the V axis is the normal vector and which goes through the origin point of the V axis (any line in that plane is perpendicular to V). Then we take the vertical plane that goes through the V axis, and the W axis will lie in the intersection line of these two planes, and the W axis always points upwards. Is that correct?
V is the normal of the bisector plane, not the vector from the previous point. Let's call that vector T.
The bisector plane is important, rotation is defined using the UVW system.
The profile size and shape is only correct at the midpoint if there is no twist along T (W's are parallel at both ends). Otherwise it's just an approximation of that, as we don't have points in the middle.
I realize the most misleading thing in the documentation is using u, w for the profile coordinates, they are not along the UW axes. uw (perpendicular to T) is being projected to UW, using an orientation so that u' matches U. As a result of projecting a plane to a non-parallel plane, w' might not be parallel with W, the angle between u'w' might be non-perpendicular.
I have to be honest, I am now lost. You talk about UW, uw, u'w'. And you talk about uw being perpendicular to T, but in that case, shouldn't that axis be called t, not T? And where is the point in each segment where the section profile is the same size as the size of the profile defined in the script? Maybe an illustration would help, but now I don't think I fully understand how this works.
2020-11-23 12:37 PM
2020-11-30 01:28 PM
LaszloNagy wrote:UW are axes defined by the path, T is the vector along the current path segment. Yes, it's better to call it small t or v, uwv is a cartesian coordinate system.
I have to be honest, I am now lost. You talk about UW, uw, u'w'. And you talk about uw being perpendicular to T, but in that case, shouldn't that axis be called t, not T? And where is the point in each segment where the section profile is the same size as the size of the profile defined in the script? Maybe an illustration would help, but now I don't think I fully understand how this works.
2020-12-01 07:21 AM
2020-12-01 10:44 AM
LaszloNagy wrote:I agree with @LaszloNagy
Thanks, Péter,
I think one or more illustrations in the GDL Reference Guide showing all these intricacies would be very helpful.
2021-05-05 12:51 AM