Transferring three-dimensional image on a two-dimensional graph - Ber7 - Messaggi
This method was suggested by the author of the "Method of Draghilev" prof. Alexei Ivanov.
1.st through the matrix of three columns (x, y, z) to construct
3d graph and select the desired Rakurs;
2.Using linear coordinate transformations turn
all points of the matrix at an angle (angles) corresponding
Rakurs and obtain a new matrix;
3. Out of three columns of the new matrix choose two and
substitute them in 2d graph;
Animation shows two first surface constructed A.Ivashev second
V.Mezentsev (Bottom). The animation is done on a flat graph.

ButKlejn.smz (4,47 KiB) scaricato 1482 volta(e).
1.st through the matrix of three columns (x, y, z) to construct
3d graph and select the desired Rakurs;
2.Using linear coordinate transformations turn
all points of the matrix at an angle (angles) corresponding
Rakurs and obtain a new matrix;
3. Out of three columns of the new matrix choose two and
substitute them in 2d graph;
Animation shows two first surface constructed A.Ivashev second
V.Mezentsev (Bottom). The animation is done on a flat graph.

ButKlejn.smz (4,47 KiB) scaricato 1482 volta(e).
1 utenti hanno apprezzato questo post
Davide Carpi 08/12/2013 13:36:00
Updated.Fixed mistake in the first matrix coordinate transformation
1 utenti hanno apprezzato questo post
Davide Carpi 31/01/2014 06:17:00
Animation spatial mechanisms
To calculate the position of the mechanism will use
techniques developed A.B.Ivanov.His work on 3d
animation mechanisms made in Mapl, publishes A.B.Ivanov
online
http://forum.exponenta.ru/viewtopic.php?t=12842
Of the examples from this site I suffered in a programming environment SMath Studio
1. Sarrus linkage 1

To calculate the position of the mechanism will use
techniques developed A.B.Ivanov.His work on 3d
animation mechanisms made in Mapl, publishes A.B.Ivanov
online
http://forum.exponenta.ru/viewtopic.php?t=12842
Of the examples from this site I suffered in a programming environment SMath Studio
1. Sarrus linkage 1

1.Torsion and bending Plate
2.Torsion and bending cylindrical panel
Using nonlinear coordinate transformations



Plate.smz (6,41 KiB) scaricato 1404 volta(e).
2.Torsion and bending cylindrical panel
Using nonlinear coordinate transformations



Plate.smz (6,41 KiB) scaricato 1404 volta(e).
4 utenti hanno apprezzato questo post
Andrey Ivashov 26/02/2016 09:19:00, Davide Carpi 02/02/2015 20:47:00, IVR 05/02/2015 15:07:00, ioan92 26/02/2016 07:12:00
Rotation About an Arbitrary Axis in Space
The algorithm is taken from the book
. F. Rogers and J. A. Adams. Mathematical
Elements for Computer Graphics,second edition. McGraw-Hill Publishing Company,
1990,pages 121-127


Rotation2.smz (9,05 KiB) scaricato 1412 volta(e).
The algorithm is taken from the book
Elements for Computer Graphics,second edition. McGraw-Hill Publishing Company,
1990,pages 121-127


Rotation2.smz (9,05 KiB) scaricato 1412 volta(e).
3 utenti hanno apprezzato questo post
Rotation2.smz ,,,, does not work Smath 5346
egamma: not defined [does not evaluate]
ex, ey, ez don't evaluate ,,,
Smath 5346 does not recognise Rotatio2 coding.
Thanks for the other ones.
Jean
egamma: not defined [does not evaluate]
ex, ey, ez don't evaluate ,,,
Smath 5346 does not recognise Rotatio2 coding.
Thanks for the other ones.
Jean
For SMath 5890 file works fine. For SMath 5346 file can not verify.
Building the surface deflection a Circular Plate for periodically applied load (Smath 0.98.5935)


Timoshenko.sm (389,76 KiB) scaricato 1574 volta(e).


Timoshenko.sm (389,76 KiB) scaricato 1574 volta(e).
1 utenti hanno apprezzato questo post
Davide Carpi 15/11/2016 19:34:00
Thanks: very nice. That's how you can tell the age of the lady !
Dome of Viviani Windows
The dome is made out of a variable number of Viviani curves generated by the intersection of the
hemisphere and the moving cylinder.A real-life application of this can be seen at the Osaka Maritime Museum
https://en.wikipedia.org/wiki/Osaka_Maritime_Museum


V4.sm (23,07 KiB) scaricato 1344 volta(e).
The dome is made out of a variable number of Viviani curves generated by the intersection of the
hemisphere and the moving cylinder.A real-life application of this can be seen at the Osaka Maritime Museum
https://en.wikipedia.org/wiki/Osaka_Maritime_Museum


V4.sm (23,07 KiB) scaricato 1344 volta(e).
3 utenti hanno apprezzato questo post
frapuano 19/04/2017 09:15:00, NDTM Amarasekera 19/04/2017 12:14:00, Davide Carpi 23/04/2017 19:33:00
Gateshead Millennium Bridge
http://en.wikipedia.org/wiki/Gateshead_Millennium_Bridge
The arch and the bridge deck can be rotated together around large bearings, lifting the bridge deck to let small ships and boats pass underneath. This is the essential idea behind the Gateshead Millennium Bridge, a pedestrian and cyclist tilt bridge. It spans the River Tyne in England between Gateshead on the south bank and Newcastle upon Tyne on the north bank.

Most.sm (34,59 KiB) scaricato 1320 volta(e).
http://en.wikipedia.org/wiki/Gateshead_Millennium_Bridge
The arch and the bridge deck can be rotated together around large bearings, lifting the bridge deck to let small ships and boats pass underneath. This is the essential idea behind the Gateshead Millennium Bridge, a pedestrian and cyclist tilt bridge. It spans the River Tyne in England between Gateshead on the south bank and Newcastle upon Tyne on the north bank.

Most.sm (34,59 KiB) scaricato 1320 volta(e).
1 utenti hanno apprezzato questo post
Davide Carpi 23/04/2017 19:33:00
4 utenti hanno apprezzato questo post
NDTM Amarasekera 26/04/2017 11:37:00, Arie 26/04/2017 11:13:00, Davide Carpi 26/04/2017 19:14:00, frapuano 27/04/2017 01:28:00
3 utenti hanno apprezzato questo post
Thanks Ber7,
I love those things that move, but they dilute my "winter chicken brain" !!!
You may want to roll the torus. Very nice in Mathcad, unfortunately, can't
attach the animation because XP Pro. does not support any of the Mathcad "Codecs".
Cheers ... Jean
Torus.sm (155,43 KiB) scaricato 1342 volta(e).
I love those things that move, but they dilute my "winter chicken brain" !!!
You may want to roll the torus. Very nice in Mathcad, unfortunately, can't
attach the animation because XP Pro. does not support any of the Mathcad "Codecs".
Cheers ... Jean
Torus.sm (155,43 KiB) scaricato 1342 volta(e).
Rotation around an arbitrary axis defined by two points.Continuation
https://en.smath.info/forum/yaf_postsm30728_Transferring-three-dimensional-image-on-a-two-dimensional--flat--graph-by-prof--A-B-Ivanov.aspx#post30728

Rotation3.sm (35,34 KiB) scaricato 1332 volta(e).
https://en.smath.info/forum/yaf_postsm30728_Transferring-three-dimensional-image-on-a-two-dimensional--flat--graph-by-prof--A-B-Ivanov.aspx#post30728

Rotation3.sm (35,34 KiB) scaricato 1332 volta(e).
1 utenti hanno apprezzato questo post
Davide Carpi 10/10/2017 11:52:00
The spiral curved along a given 3d curve


Spiral1.sm (21 KiB) scaricato 1295 volta(e).
Spiral4.sm (20,75 KiB) scaricato 1381 volta(e).
Spiral5.sm (19,92 KiB) scaricato 1337 volta(e).



Spiral1.sm (21 KiB) scaricato 1295 volta(e).
Spiral4.sm (20,75 KiB) scaricato 1381 volta(e).
Spiral5.sm (19,92 KiB) scaricato 1337 volta(e).

1 utenti hanno apprezzato questo post
Davide Carpi 05/05/2020 15:56:00
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