Method A.B. Draghilev and animation spatial mechanisms

Method A.B. Draghilev and animation spatial mechanisms - Ber7 - Messages

#1 Posted: 1/26/2014 3:10:20 AM
Fridel Selitsky

Fridel Selitsky

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Application of the method A.B. Draghilev to the calculation of the kinematics and animation
spatial mechanisms developed prof.A.B.Ivanov, that
develops method A.B. Draghilev to solve practical problems.
Their development, with detailed explanations,
he published on the site
http://forum.exponenta.ru/viewtopic.php?t=12842
The following examples are taken from this site and transferred from Maple in the programming environment SMath Studio.
A huge thanks to Alexei Ivanov, who gave me great help in the study the method of A.B .Draghilev.
1.Explanatory example
http://ru.smath.info/forum/yaf_postst2304_Primienieniie-mietoda-A-B--Draghilieva-k-raschietu-polozhienii-i-animatsii-miekhanizmov.aspx
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Davide Carpi 1/31/2014 6:17:00 AM, Andrey Ivashov 5/7/2016 9:54:00 AM
#2 Posted: 1/26/2014 3:18:11 AM
Fridel Selitsky

Fridel Selitsky

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One end of the rod moves in the spatial
curve, the other along a circular arc.


Primer3.smz (8 KiB) downloaded 187 time(s).
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Andrey Ivashov 5/7/2016 9:54:00 AM, Radovan Omorjan 1/26/2014 3:39:00 AM, Davide Carpi 1/31/2014 6:17:00 AM
#3 Posted: 1/26/2014 3:21:47 AM
Fridel Selitsky

Fridel Selitsky

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Three-link spatial mechanism


PrUgol.smz (10 KiB) downloaded 125 time(s).
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Davide Carpi 1/31/2014 6:39:00 AM, Andrey Ivashov 5/7/2016 9:54:00 AM, Radovan Omorjan 1/26/2014 3:39:00 AM
#4 Posted: 1/26/2014 3:25:04 AM
Fridel Selitsky

Fridel Selitsky

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Spatial four-bar linkage1



Spatial four-bar linkage 2


File not found.File not found.
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Radovan Omorjan 1/26/2014 3:39:00 AM, Davide Carpi 1/31/2014 6:39:00 AM, Andrey Ivashov 5/7/2016 9:54:00 AM
#5 Posted: 1/26/2014 3:30:32 AM
Fridel Selitsky

Fridel Selitsky

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Cardan Mechanism.The axes of rotation intersect at an angle of 45 degrees


KardanHadash1.sm (89 KiB) downloaded 145 time(s).
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Andrey Ivashov 5/7/2016 9:54:00 AM, Davide Carpi 1/31/2014 6:39:00 AM, Radovan Omorjan 1/26/2014 3:38:00 AM
#6 Posted: 4/11/2014 2:45:17 AM
Fridel Selitsky

Fridel Selitsky

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Animation curve, which is defined implicitly
Each loop equation "cam"-an implicit function F (x, y) = 0
  Examples taken from the site
 
http://forum.exponenta.ru/viewtopic.php?t=12842




Kardeoida.smz (7 KiB) downloaded 147 time(s).
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Andrey Ivashov 5/7/2016 9:54:00 AM, Davide Carpi 4/19/2014 9:30:00 AM
#7 Posted: 5/2/2014 5:06:20 PM
Fridel Selitsky

Fridel Selitsky

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The line of intersection of the torus and sphere(Villarceau circles)
This example is taken from an article by Дубанов А.А. :Численно-аналитическое
построение линий пересечения поверхностей методом Драгилева,2007(rus)
http://www.blagovest2002.narod.ru/2005/SurfInt/paper1/Paper1.htm



Villarceau.smz (9 KiB) downloaded 162 time(s).
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Davide Carpi 5/5/2014 3:14:00 AM, Andrey Ivashov 5/7/2016 9:54:00 AM
#8 Posted: 5/12/2014 2:02:38 PM
Fridel Selitsky

Fridel Selitsky

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Wrote

Cardan Mechanism.The axes of rotation intersect at an angle of 45 degrees




The same mechanism with spherical linkages
These linkages have the property that
every link in the system rotates about the same fixed point. Thus, trajectories of
points in each link lie on concentric spheres with this point as the center. Only the
revolute joint is compatible with this rotational movement and its axis must pass
through the fixed point.
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Davide Carpi 5/16/2014 12:38:00 PM, Andrey Ivashov 5/7/2016 9:54:00 AM, Martin Kraska 5/12/2014 4:40:00 PM
#9 Posted: 5/16/2014 7:03:17 AM
Davide Carpi

Davide Carpi

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I can't see the last image (neither in the russian side of the forum)
If you like my plugins please consider to support the program buying a license; for personal contributions to me: paypal.me/dcprojects
#10 Posted: 5/16/2014 11:01:47 AM
Fridel Selitsky

Fridel Selitsky

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Link to the file and image:
https://smath.com/wiki/GetFile.aspx?File=Guk.gif
KardanHadash.smz (11 KiB) downloaded 107 time(s).
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Davide Carpi 5/16/2014 12:38:00 PM, Andrey Ivashov 5/7/2016 9:53:00 AM
#11 Posted: 6/2/2014 11:36:46 AM
Fridel Selitsky

Fridel Selitsky

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Ring instead of cross-piece

KardanHadash3.smz (13 KiB) downloaded 131 time(s).
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Andrey Ivashov 5/7/2016 9:53:00 AM, Davide Carpi 7/19/2015 4:45:00 PM
#12 Posted: 7/18/2015 10:45:48 AM
Fridel Selitsky

Fridel Selitsky

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3-PRS Parallel Manipulator



Tripod2s.smz (15 KiB) downloaded 114 time(s).
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Andrey Ivashov 5/7/2016 9:53:00 AM, Davide Carpi 7/19/2015 4:45:00 PM
#13 Posted: 8/30/2015 5:51:05 PM
Fridel Selitsky

Fridel Selitsky

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The Delta Parallel Robot
Kinematic scheme and dimensions are taken from the book
R.L. Williams II, “The Delta Parallel Robot: Kinematics Solutions”, Internet Publication,
April 2015.


File not found. File not found.
Delta.pdf (542 KiB) downloaded 294 time(s).
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Andrey Ivashov 9/1/2015 7:03:00 PM, Davide Carpi 8/31/2015 6:12:00 PM
#14 Posted: 9/14/2015 5:37:56 AM
Fridel Selitsky

Fridel Selitsky

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RSCRmod.sm (106 KiB) downloaded 90 time(s).The RSCR spatial mechanism.
The calculation is borrowed from the publication of Alexey Ivanov

http://www.mapleprimes.com/posts/201080-RSCR-Spatial-Mechanism
A case where the axis of rotation are perpendicular


RSCRmechanism.smz (15 KiB) downloaded 117 time(s).
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Davide Carpi 9/14/2015 6:23:00 AM, Andrey Ivashov 5/7/2016 9:53:00 AM
#15 Posted: 10/23/2015 5:19:26 PM
Fridel Selitsky

Fridel Selitsky

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Again The Delta Parallel Robot.Winding onto a cylindrical mandrel


Delta2.smz (601 KiB) downloaded 164 time(s).
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Davide Carpi 10/23/2015 6:56:00 PM, Andrey Ivashov 5/7/2016 9:53:00 AM
#16 Posted: 10/27/2015 12:26:45 PM
Fridel Selitsky

Fridel Selitsky

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Delta3.smz (600 KiB) downloaded 123 time(s).Version for conical spiral
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Davide Carpi 11/21/2015 1:42:00 PM, Andrey Ivashov 5/7/2016 9:52:00 AM
#17 Posted: 11/21/2015 8:37:36 AM
Fridel Selitsky

Fridel Selitsky

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Delta0C.smz (321 KiB) downloaded 160 time(s).In the above animation three links that support the lower platform is a simplified and
presented in the form of red rods. Actually used parallelograms (pantographs), where top and
bottom mounted universal (cardan) joints. Each universal joint implemented using Three
revolute joints . The axis of the middle joints lies in the plane of the parallelogram, and
axis external joints perpendicular to this plane. Animation of this design is shown below.

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Davide Carpi 11/21/2015 1:42:00 PM, Andrey Ivashov 5/7/2016 9:52:00 AM
#18 Posted: 5/7/2016 7:55:01 AM
Fridel Selitsky

Fridel Selitsky

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Graf.smz (144 KiB) downloaded 99 time(s).Spatial (spherical) Cam
The idea is taken from here
http://www.mapleprimes.com/questions/209853-Is-It-Possible-To-Get-This-In-MapleSim-#comment225311



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Andrey Ivashov 5/7/2016 9:52:00 AM, Davide Carpi 5/9/2016 5:31:00 AM
#19 Posted: 7/30/2016 7:23:41 AM
Fridel Selitsky

Fridel Selitsky

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A mechanisms similar to slider crank mechanism
These mechanisms are shown Alexey B. Ivanov on the website
https://vk.com/away.php?to=http%3A%2F%2Fwww.mapleprimes.com%2Fposts%2F204684-Lever-Mechanisms



File not found.File not found.
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Davide Carpi 8/1/2016 6:52:00 PM
#20 Posted: 8/2/2016 3:22:02 PM
Jean Giraud

Jean Giraud

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Thanks Ber7 for your repost/new animations. Some don't work in Smath 5346,
so what. Animation is a very nice feature from Smath.

Jean

Breather AnimRot.gif

Rotate XY.sm (474 KiB) downloaded 106 time(s).
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