Transferring three-dimensional image on a two-dimensional graph - Ber7 - Mensajes
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) descargado 1476 vez(es).
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) descargado 1476 vez(es).
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Davide Carpi 8/12/2013 13:36:00
Updated.Fixed mistake in the first matrix coordinate transformation
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Davide Carpi 31/1/2014 6:17:00
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) descargado 1394 vez(es).
2.Torsion and bending cylindrical panel
Using nonlinear coordinate transformations



Plate.smz (6,41 KiB) descargado 1394 vez(es).
A 4 usuarios les gustó este mensaje
Andrey Ivashov 26/2/2016 9:19:00, Davide Carpi 2/2/2015 20:47:00, IVR 5/2/2015 15:07:00, ioan92 26/2/2016 7:12:00
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) descargado 1402 vez(es).
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) descargado 1402 vez(es).
A 3 usuarios les gustó este mensaje
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) descargado 1572 vez(es).


Timoshenko.sm (389,76 KiB) descargado 1572 vez(es).
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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) descargado 1341 vez(es).
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) descargado 1341 vez(es).
A 3 usuarios les gustó este mensaje
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) descargado 1317 vez(es).
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) descargado 1317 vez(es).
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Davide Carpi 23/4/2017 19:33:00
A 4 usuarios les gustó este mensaje
NDTM Amarasekera 26/4/2017 11:37:00, Arie 26/4/2017 11:13:00, Davide Carpi 26/4/2017 19:14:00, frapuano 27/4/2017 1:28:00
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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) descargado 1339 vez(es).
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) descargado 1339 vez(es).
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) descargado 1330 vez(es).
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) descargado 1330 vez(es).
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Davide Carpi 10/10/2017 11:52:00
The spiral curved along a given 3d curve


Spiral1.sm (21 KiB) descargado 1292 vez(es).
Spiral4.sm (20,75 KiB) descargado 1377 vez(es).
Spiral5.sm (19,92 KiB) descargado 1332 vez(es).



Spiral1.sm (21 KiB) descargado 1292 vez(es).
Spiral4.sm (20,75 KiB) descargado 1377 vez(es).
Spiral5.sm (19,92 KiB) descargado 1332 vez(es).

A 1 usuarios les gustó este mensaje
Davide Carpi 5/5/2020 15:56:00
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