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 Ber7 #1 Posted : 26 January 2014 10:10:20(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) Application of the method A.B. Draghilev to the calculation of the kinematics and animationspatial 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 sitehttp://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 examplehttp://ru.smath.info/for...matsii-miekhanizmov.aspxEdited by user 26 January 2014 10:13:25(UTC)  | Reason: Not specified 2 users thanked Ber7 for this useful post. on 31/01/2014(UTC),  on 07/05/2016(UTC)
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 Ber7 #2 Posted : 26 January 2014 10:18:11(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) One end of the rod moves in the spatial curve, the other along a circular arc. File Attachment(s): Primer3.smz (9kb) downloaded 136 time(s). 3 users thanked Ber7 for this useful post. on 26/01/2014(UTC),  on 31/01/2014(UTC),  on 07/05/2016(UTC)
 Ber7 #3 Posted : 26 January 2014 10:21:47(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) Three-link spatial mechanism Edited by user 14 September 2015 13:28:52(UTC)  | Reason: Not specifiedFile Attachment(s): Pr4.smz (10kb) downloaded 89 time(s). PrUgol.smz (11kb) downloaded 79 time(s). 3 users thanked Ber7 for this useful post. on 26/01/2014(UTC),  on 31/01/2014(UTC),  on 07/05/2016(UTC)
 Ber7 #4 Posted : 26 January 2014 10:25:04(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) Spatial four-bar linkage1Spatial four-bar linkage 2 Artobolevskij.smz (11kb) downloaded 68 time(s). Primer5.smz (47kb) downloaded 135 time(s).Edited by user 09 November 2015 11:46:02(UTC)  | Reason: Not specified 3 users thanked Ber7 for this useful post. on 26/01/2014(UTC),  on 31/01/2014(UTC),  on 07/05/2016(UTC)
 Ber7 #5 Posted : 26 January 2014 10:30:32(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) Cardan Mechanism.The axes of rotation intersect at an angle of 45 degreesEdited by user 21 May 2014 16:59:17(UTC)  | Reason: Not specifiedFile Attachment(s): Kardan13542.sm (73kb) downloaded 135 time(s). KardanHadash1.sm (90kb) downloaded 93 time(s). 3 users thanked Ber7 for this useful post. on 26/01/2014(UTC),  on 31/01/2014(UTC),  on 07/05/2016(UTC)
 Ber7 #6 Posted : 11 April 2014 09:45:17(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) 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=12842Edited by user 11 April 2014 22:49:12(UTC)  | Reason: Not specifiedFile Attachment(s): KulakMalben2.smz (6kb) downloaded 103 time(s). Kulak2.smz (6kb) downloaded 83 time(s). Kardeoida.smz (8kb) downloaded 93 time(s). 2 users thanked Ber7 for this useful post. on 19/04/2014(UTC),  on 07/05/2016(UTC)
 Ber7 #7 Posted : 03 May 2014 00:06:20(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) The line of intersection of the torus and sphere(Villarceau circles)This example is taken from an article by Дубанов А.А. :Численно-аналитическоепостроение линий пересечения поверхностей методом Драгилева,2007(rus)http://www.blagovest2002...urfInt/paper1/Paper1.htmFile Attachment(s): Villarceau.smz (10kb) downloaded 108 time(s). 2 users thanked Ber7 for this useful post. on 05/05/2014(UTC),  on 07/05/2016(UTC)
 Ber7 #8 Posted : 12 May 2014 21:02:38(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) Originally Posted by: Ber7 Cardan Mechanism.The axes of rotation intersect at an angle of 45 degreesThe same mechanism with spherical linkagesThese linkages have the property thatevery link in the system rotates about the same fixed point. Thus, trajectories ofpoints in each link lie on concentric spheres with this point as the center. Only therevolute joint is compatible with this rotational movement and its axis must passthrough the fixed point. Edited by user 07 November 2015 19:15:45(UTC)  | Reason: Not specified 3 users thanked Ber7 for this useful post. on 12/05/2014(UTC),  on 16/05/2014(UTC),  on 07/05/2016(UTC)
 Davide Carpi #9 Posted : 16 May 2014 14:03:17(UTC) Rank: Advanced MemberGroups: Registered, Advanced MemberJoined: 13/01/2012(UTC)Posts: 2,665Location: ItalyWas thanked: 1350 time(s) in 885 post(s) I can't see the last image (neither in the russian side of the forum) If you like my plugins consider to support SMath Studio buying a plan; to offer me a coffee: paypal.me/dcprojects
 Ber7 #10 Posted : 16 May 2014 18:01:47(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) Link to the file and image:http://smath.info/wiki/GetFile.aspx?File=Guk.gifFile Attachment(s): KardanHadash.smz (12kb) downloaded 65 time(s). 2 users thanked Ber7 for this useful post. on 16/05/2014(UTC),  on 07/05/2016(UTC)
 Ber7 #11 Posted : 02 June 2014 18:36:46(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) Ring instead of cross-piece File Attachment(s): KardanHadash3.smz (14kb) downloaded 79 time(s). 2 users thanked Ber7 for this useful post. on 19/07/2015(UTC),  on 07/05/2016(UTC)
 Ber7 #12 Posted : 18 July 2015 16:45:48(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) 3-PRS Parallel ManipulatorEdited by user 31 August 2015 00:03:26(UTC)  | Reason: Not specifiedFile Attachment(s): Tripod2s.pdf (254kb) downloaded 104 time(s). Tripod1s.smz (15kb) downloaded 68 time(s). Tripod2s.smz (16kb) downloaded 66 time(s). 2 users thanked Ber7 for this useful post. on 19/07/2015(UTC),  on 07/05/2016(UTC)
 Ber7 #13 Posted : 30 August 2015 23:51:05(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) The Delta Parallel RobotKinematic scheme and dimensions are taken from the bookR.L. Williams II, “The Delta Parallel Robot: Kinematics Solutions”, Internet Publication,April 2015. Delta.smz (506kb) downloaded 166 time(s). Delta.pdf (543kb) downloaded 240 time(s).Edited by user 15 November 2015 23:50:53(UTC)  | Reason: Not specifiedFile Attachment(s): Delta.smz (506kb) downloaded 166 time(s). Delta.pdf (543kb) downloaded 240 time(s). 2 users thanked Ber7 for this useful post. on 01/09/2015(UTC),  on 02/09/2015(UTC)
 Ber7 #14 Posted : 14 September 2015 11:37:56(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) RSCRmod.sm (107kb) downloaded 40 time(s).The RSCR spatial mechanism.The calculation is borrowed from the publication of Alexey Ivanov http://www.mapleprimes.c...0-RSCR-Spatial-MechanismA case where the axis of rotation are perpendicularEdited by user 11 February 2016 13:01:02(UTC)  | Reason: Not specifiedFile Attachment(s): RSCRmechanism.smz (16kb) downloaded 66 time(s). 2 users thanked Ber7 for this useful post. on 14/09/2015(UTC),  on 07/05/2016(UTC)
 Ber7 #15 Posted : 23 October 2015 23:19:26(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) Again The Delta Parallel Robot.Winding onto a cylindrical mandrelFile Attachment(s): Delta2.smz (602kb) downloaded 107 time(s). 2 users thanked Ber7 for this useful post. on 24/10/2015(UTC),  on 07/05/2016(UTC)
 Ber7 #16 Posted : 27 October 2015 18:26:45(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) Delta3.smz (601kb) downloaded 75 time(s).Version for conical spiralEdited by user 28 October 2015 19:05:16(UTC)  | Reason: Not specified 2 users thanked Ber7 for this useful post. on 21/11/2015(UTC),  on 07/05/2016(UTC)
 Ber7 #17 Posted : 21 November 2015 14:37:36(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) Delta0C.smz (322kb) downloaded 109 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.Edited by user 21 November 2015 14:39:55(UTC)  | Reason: Not specified 2 users thanked Ber7 for this useful post. on 21/11/2015(UTC),  on 07/05/2016(UTC)
 Ber7 #18 Posted : 07 May 2016 13:55:01(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) Graf.smz (145kb) downloaded 49 time(s).Spatial (spherical) CamThe idea is taken from herehttp://www.mapleprimes.c...-MapleSim-#comment225311Edited by user 17 September 2016 20:42:00(UTC)  | Reason: Not specified 2 users thanked Ber7 for this useful post. on 07/05/2016(UTC),  on 09/05/2016(UTC)
 Ber7 #19 Posted : 30 July 2016 13:23:41(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) A mechanisms similar to slider crank mechanismThese mechanisms are shown Alexey B. Ivanov on the websitehttps://vk.com/away.php?...F204684-Lever-Mechanisms 1.sm (37kb) downloaded 58 time(s). 2.sm (48kb) downloaded 50 time(s). 1 user thanked Ber7 for this useful post. on 02/08/2016(UTC)
 Jean Giraud #20 Posted : 02 August 2016 21:22:02(UTC) Rank: GuestGroups: Registered Joined: 04/07/2015(UTC)Posts: 6,866Was thanked: 981 time(s) in 809 post(s) 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 (475kb) downloaded 46 time(s).
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