Method A.B. Draghilev and animation spatial mechanisms - Ber7 - Mensajes
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
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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One end of the rod moves in the spatial
curve, the other along a circular arc.

Primer3.smz (8,47 KiB) descargado 1810 vez(es).
curve, the other along a circular arc.

Primer3.smz (8,47 KiB) descargado 1810 vez(es).
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Spatial four-bar linkage1

Spatial four-bar linkage 2

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Spatial four-bar linkage 2

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

KardanHadash1.sm (89,92 KiB) descargado 1711 vez(es).

KardanHadash1.sm (89,92 KiB) descargado 1711 vez(es).
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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 (7,21 KiB) descargado 1693 vez(es).
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 (7,21 KiB) descargado 1693 vez(es).
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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 (9,76 KiB) descargado 1762 vez(es).
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 (9,76 KiB) descargado 1762 vez(es).
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WroteCardan 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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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
Link to the file and image:
https://smath.com/wiki/GetFile.aspx?File=Guk.gif
KardanHadash.smz (11,17 KiB) descargado 1673 vez(es).
https://smath.com/wiki/GetFile.aspx?File=Guk.gif
KardanHadash.smz (11,17 KiB) descargado 1673 vez(es).
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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.

Archivo no encontrado. Archivo no encontrado.
Delta.pdf (542,51 KiB) descargado 1223 vez(es).
Kinematic scheme and dimensions are taken from the book
R.L. Williams II, “The Delta Parallel Robot: Kinematics Solutions”, Internet Publication,
April 2015.

Archivo no encontrado. Archivo no encontrado.
Delta.pdf (542,51 KiB) descargado 1223 vez(es).
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RSCRmod.sm (106,29 KiB) descargado 1617 vez(es).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 (15,17 KiB) descargado 1792 vez(es).
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 (15,17 KiB) descargado 1792 vez(es).
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Again The Delta Parallel Robot.Winding onto a cylindrical mandrel

Delta2.smz (601,62 KiB) descargado 1844 vez(es).

Delta2.smz (601,62 KiB) descargado 1844 vez(es).
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Delta0C.smz (321,09 KiB) descargado 1782 vez(es).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.


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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Graf.smz (144,8 KiB) descargado 1731 vez(es).Spatial (spherical) Cam
The idea is taken from here
http://www.mapleprimes.com/questions/209853-Is-It-Possible-To-Get-This-In-MapleSim-#comment225311




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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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



Archivo no encontrado.Archivo no encontrado.
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



Archivo no encontrado.Archivo no encontrado.
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Davide Carpi 1/8/2016 18:52:00
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

Rotate XY.sm (474 KiB) descargado 1662 vez(es).
so what. Animation is a very nice feature from Smath.
Jean

Rotate XY.sm (474 KiB) descargado 1662 vez(es).
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