Animation double pendulum and a pendulum on a spring

#1 Pubblicato: 23/06/2011 10:33:05

Fridel Selitsky

520 apprezzamenti in 451 post.

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https://smath.com/wiki/GetFile.aspx?File=DPendulum.rar

#2 Pubblicato: 23/06/2011 10:35:31

Fridel Selitsky

520 apprezzamenti in 451 post.

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https://smath.com/wiki/GetFile.aspx?File=SwingSpring.rar

#3 Pubblicato: 04/10/2011 23:55:05

Fridel Selitsky

520 apprezzamenti in 451 post.

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https://smath.com/wiki/GetFile.aspx?File=SwingSpring1.rar

#4 Pubblicato: 05/11/2011 17:42:51

Fridel Selitsky

520 apprezzamenti in 451 post.

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https://smath.com/wiki/GetFile.aspx?File=ElleptPendul.rar

#5 Pubblicato: 22/03/2012 18:38:36

Fridel Selitsky

520 apprezzamenti in 451 post.

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https://smath.com/wiki/GetFile.aspx?File=ElastSuspesion.rar

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Andrey Ivashov 22/03/2012 20:24:00

#6 Pubblicato: 02/10/2012 23:41:11

Fridel Selitsky

520 apprezzamenti in 451 post.

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Pendulum on an elastic string, which is wound on a disk
Translated from Mathcad program (the author-Alen Stevens)
http://communities.ptc.com/videos/3335

https://smath.com/wiki/GetFile.aspx?File=ELastPend.rar

#7 Pubblicato: 29/05/2013 12:49:49

Fridel Selitsky

520 apprezzamenti in 451 post.

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Crankshaft-Driven Pendulum
The idea is taken from the site http://demonstrations.wolfram.com/CrankshaftDrivenPendulum/
Interactive animation
https://smath.com/wiki/GetFile.aspx?File=PendulKrivExe.rar

PendulKriv1.sm (25,17 KiB) scaricato 1672 volta(e).

3 utenti hanno apprezzato questo post

Davide Carpi 29/05/2013 13:00:00, IVR 29/05/2013 13:07:00, Andrey Ivashov 29/05/2013 15:04:00

#8 Pubblicato: 06/06/2013 08:43:27

Fridel Selitsky

520 apprezzamenti in 451 post.

Gruppo: User

Wrote
Pendulum on an elastic string, which is wound on a disk
Translated from Mathcad program (the author-Alen Stevens)
http://communities.ptc.com/videos/3335

https://smath.com/wiki/GetFile.aspx?File=ELastPend.rar

Interactive animation
https://smath.com/wiki/GetFile.aspx?File=ELastPendExe.rar

2 utenti hanno apprezzato questo post

IVR 06/06/2013 12:47:00, Davide Carpi 06/06/2013 13:14:00

#9 Pubblicato: 30/07/2013 13:56:21

Fridel Selitsky

520 apprezzamenti in 451 post.

Gruppo: User

Rigid rod rocks on a circular surface (Ali H.Nayfeh,Dean T.Mook,Nonlinear Oscillations,1995)
Used an ODE plugin.

rigid1.smz (37,57 KiB) scaricato 1760 volta(e).

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Davide Carpi 30/07/2013 16:25:00, Martin Kraska 30/07/2013 17:21:00

#10 Pubblicato: 30/07/2013 17:05:22

Martin Kraska

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I 'd propose some adjustments to the functions x(t) and y(t)

[MATH]x(t):eval(r*(sin(θ(t))-θ(t)*cos(θ(t))))[/MATH]

[MATH]y(t):eval(r*(cos(θ(t))+θ(t)*sin(θ(t))))[/MATH]

The differential equation does not account for h, therefore it is correct only for h=0 (rigid bar with no thickness).

rigid1.sm (50,86 KiB) scaricato 1644 volta(e).

Technische Mechanik mit SMath Studio: https://link.springer.com/book/10.1007/978-3-658-50592-9

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Davide Carpi 31/07/2013 06:03:00, Fridel Selitsky 30/07/2013 17:41:00

#11 Pubblicato: 30/07/2013 19:08:55

Fridel Selitsky

520 apprezzamenti in 451 post.

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Thank you,Martin! Your comments are absolutely correct.
I really made a mistake, you have corrected.
Workheet updated. Thank you again.
Fridel Selitsky.

1 utenti hanno apprezzato questo post

Davide Carpi 31/07/2013 06:03:00

#12 Pubblicato: 31/07/2013 05:19:31

Fridel Selitsky

520 apprezzamenti in 451 post.

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I should add that the equations of motion of the center of the rod obtained by Martin, are the parametric equations of the involute, which corresponds to the physical meaning of the problem.

1 utenti hanno apprezzato questo post

Davide Carpi 31/07/2013 06:03:00

#13 Pubblicato: 05/08/2013 11:41:35

Fridel Selitsky

520 apprezzamenti in 451 post.

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Fluctuations of three loads
(Ali H.Nayfeh,Dean T.Mook,Nonlinear Oscillations,1995)
The system consists of two extreme loads mass m1 and medium load mass m2 (2m1> m2). If the average load deviate from the equilibrium position, the system begins to oscillate

Blok2.smz (42,68 KiB) scaricato 1678 volta(e).

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Martin Kraska 07/08/2013 07:00:00

#14 Pubblicato: 11/08/2013 12:29:48

Fridel Selitsky

520 apprezzamenti in 451 post.

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Неваляшка(Roly-poly)
The idea is taken from the site
http://demonstrations.wolfram.com/RockingRolyPolyToy/
The center of mass is below the center of rotation of the body