Animation double pendulum and a pendulum on a spring

#1 Posted: 2011/6/23 10:33:05

Fridel Selitsky

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

#2 Posted: 2011/6/23 10:35:31

Fridel Selitsky

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

#3 Posted: 2011/10/4 23:55:05

Fridel Selitsky

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

#4 Posted: 2011/11/5 17:42:51

Fridel Selitsky

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

#5 Posted: 2012/3/22 18:38:36

Fridel Selitsky

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

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Andrey Ivashov 2012/3/22 20:24:00

#6 Posted: 2012/10/2 23:41:11

Fridel Selitsky

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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 Posted: 2013/5/29 12:49:49

Fridel Selitsky

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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) downloaded 931 time(s).

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Davide Carpi 2013/5/29 13:00:00, IVR 2013/5/29 13:07:00, Andrey Ivashov 2013/5/29 15:04:00

#8 Posted: 2013/6/6 08:43:27

Fridel Selitsky

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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 users liked this post

IVR 2013/6/6 12:47:00, Davide Carpi 2013/6/6 13:14:00

#9 Posted: 2013/7/30 13:56:21

Fridel Selitsky

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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) downloaded 914 time(s).

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Davide Carpi 2013/7/30 16:25:00, Martin Kraska 2013/7/30 17:21:00

#10 Posted: 2013/7/30 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) downloaded 863 time(s).

Martin KraskaPre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx

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Davide Carpi 2013/7/31 06:03:00, Fridel Selitsky 2013/7/30 17:41:00

#11 Posted: 2013/7/30 19:08:55

Fridel Selitsky

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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.

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Davide Carpi 2013/7/31 06:03:00

#12 Posted: 2013/7/31 05:19:31

Fridel Selitsky

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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.

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Davide Carpi 2013/7/31 06:03:00

#13 Posted: 2013/8/5 11:41:35

Fridel Selitsky

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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) downloaded 871 time(s).

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Martin Kraska 2013/8/7 07:00:00

#14 Posted: 2013/8/11 12:29:48

Fridel Selitsky

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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