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Offline Ber7  
#1 Posted : 08 December 2013 18:51:06(UTC)
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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.

Edited by user 21 October 2018 20:27:14(UTC)  | Reason: Not specified

File Attachment(s):
ButKlejn.smz (5kb) downloaded 135 time(s).
Tore1.smz (11kb) downloaded 165 time(s).
But1.smz (6kb) downloaded 157 time(s).
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Offline Ber7  
#2 Posted : 28 December 2013 22:47:32(UTC)
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Updated.Fixed mistake in the first matrix coordinate transformation
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Offline Ber7  
#3 Posted : 16 January 2014 23:19:01(UTC)
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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

Offline Ber7  
#4 Posted : 30 January 2014 23:14:59(UTC)
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Offline Ber7  
#5 Posted : 05 November 2014 19:35:17(UTC)
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Rotation around the coordinate axes



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Offline Ber7  
#6 Posted : 02 February 2015 17:03:15(UTC)
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1.Torsion and bending Plate
2.Torsion and bending cylindrical panel
Using nonlinear coordinate transformations



Edited by user 07 March 2015 18:51:31(UTC)  | Reason: Not specified

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Offline Ber7  
#7 Posted : 26 February 2016 12:57:04(UTC)
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Rotation About an Arbitrary Axis in Space
The algorithm is taken from the bookBiggrin. F. Rogers and J. A. Adams. Mathematical
Elements for Computer Graphics,second edition. McGraw-Hill Publishing Company,
1990,pages 121-127


Rotation2.smz (10kb) downloaded 84 time(s).

Edited by user 28 February 2016 17:36:31(UTC)  | Reason: Not specified

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Offline Jean Giraud  
#8 Posted : 29 February 2016 00:17:42(UTC)
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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
Offline Ber7  
#9 Posted : 29 February 2016 03:30:29(UTC)
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For SMath 5890 file works fine. For SMath 5346 file can not verify.
Offline Ber7  
#10 Posted : 15 November 2016 22:29:15(UTC)
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Building the surface deflection a Circular Plate for periodically applied load (Smath 0.98.5935)




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Offline Jean Giraud  
#11 Posted : 16 November 2016 06:10:08(UTC)
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Thanks: very nice. That's how you can tell the age of the lady !
Offline Ber7  
#12 Posted : 23 February 2017 12:07:26(UTC)
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Tension,torsion and bending beams





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Offline Ber7  
#13 Posted : 19 April 2017 10:46:02(UTC)
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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...ki/Osaka_Maritime_Museum


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Offline Ber7  
#14 Posted : 23 April 2017 12:24:49(UTC)
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Gateshead Millennium Bridge
http://en.wikipedia.org/...eshead_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.

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Offline Ber7  
#15 Posted : 26 April 2017 16:00:02(UTC)
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Continuation. The principle of operation of the bridge



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Edited by user 27 April 2017 08:03:33(UTC)  | Reason: Not specified

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Offline Ber7  
#16 Posted : 05 June 2017 14:04:06(UTC)
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Beam of rectangular section. Very simple code.


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Offline Jean Giraud  
#17 Posted : 05 June 2017 20:09:00(UTC)
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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 (156kb) downloaded 52 time(s).



Offline Ber7  
#18 Posted : 08 October 2017 22:39:32(UTC)
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Rotation around an arbitrary axis defined by two points.Continuation

https://en.smath.info/forum/yaf_...-B-Ivanov.aspx#post30728

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Offline Ber7  
#19 Posted : 09 April 2018 21:42:55(UTC)
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Updated

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Offline Ber7  
#20 Posted : 05 June 2018 18:31:28(UTC)
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The spiral curved along a given 3d curve



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Spiral5.sm (20kb) downloaded 44 time(s).
2.gif (6,724kb) downloaded 2 time(s).

Edited by user 04 May 2022 10:33:38(UTC)  | Reason: Not specified

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