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Offline Ber7  
#1 Posted : 23 June 2011 17:33:05(UTC)
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Offline Ber7  
#2 Posted : 23 June 2011 17:35:31(UTC)
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Offline Ber7  
#3 Posted : 05 October 2011 06:55:05(UTC)
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Offline Ber7  
#4 Posted : 06 November 2011 00:42:51(UTC)
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Offline Ber7  
#5 Posted : 23 March 2012 01:38:36(UTC)
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Offline Ber7  
#6 Posted : 03 October 2012 06:41:11(UTC)
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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



http://smath.info/wiki/G....aspx?File=ELastPend.rar
Offline Ber7  
#7 Posted : 29 May 2013 19:49:49(UTC)
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Crankshaft-Driven Pendulum
The idea is taken from the site http://demonstrations.wo...rankshaftDrivenPendulum/
Interactive animation
http://smath.info/wiki/G...x?File=PendulKrivExe.rar
File Attachment(s):
PendulKriv1.sm (26kb) downloaded 83 time(s).
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PendulAn.gif
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Offline Ber7  
#8 Posted : 06 June 2013 15:43:27(UTC)
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Originally Posted by: Ber7 Go to Quoted Post
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



http://smath.info/wiki/G....aspx?File=ELastPend.rar


Interactive animation
http://smath.info/wiki/G...px?File=ELastPendExe.rar
Ber7 attached the following image(s):
InterPen1.gif
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Offline Ber7  
#9 Posted : 30 July 2013 20:56:21(UTC)
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Rigid rod rocks on a circular surface (Ali H.Nayfeh,Dean T.Mook,Nonlinear Oscillations,1995)
Used an ODE plugin.

Edited by user 31 July 2013 01:58:28(UTC)  | Reason: Not specified

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rigid1.smz (38kb) downloaded 76 time(s).
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Offline mkraska  
#10 Posted : 31 July 2013 00:05:22(UTC)
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I 'd propose some adjustments to the functions x(t) and y(t)

x(t):eval(r*(sin(θ(t))-θ(t)*cos(θ(t))))

y(t):eval(r*(cos(θ(t))+θ(t)*sin(θ(t))))

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

Edited by user 31 July 2013 00:32:20(UTC)  | Reason: Not specified

File Attachment(s):
Stange.gif (1,058kb) downloaded 78 time(s).
rigid1.sm (51kb) downloaded 73 time(s).
Martin Kraska

Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
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Offline Ber7  
#11 Posted : 31 July 2013 02:08:55(UTC)
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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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Offline Ber7  
#12 Posted : 31 July 2013 12:19:31(UTC)
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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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Offline Ber7  
#13 Posted : 05 August 2013 18:41:35(UTC)
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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

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Blok2.smz (43kb) downloaded 84 time(s).
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Offline Ber7  
#14 Posted : 11 August 2013 19:29:48(UTC)
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Неваляшка(Roly-poly)
The idea is taken from the site
http://demonstrations.wo....com/RockingRolyPolyToy/
The center of mass is below the center of rotation of the body


File Attachment(s):
PoluCil1.smz (10kb) downloaded 73 time(s).
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Offline Ber7  
#15 Posted : 26 August 2013 22:26:45(UTC)
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Pendulum Dangling from a Slider-Crank

File Attachment(s):
PendulKrivGoriz.smz (7kb) downloaded 74 time(s).
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Offline Ber7  
#16 Posted : 02 September 2013 15:12:56(UTC)
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Examples from the book “Ali H.Nayfeh,Dean T.Mook,Nonlinear Oscillations,1995”


File Attachment(s):
Particle.smz (52kb) downloaded 71 time(s).
Rod in Circle.smz (81kb) downloaded 71 time(s).
roll-rolling.smz (59kb) downloaded 69 time(s).
Mass slides.smz (48kb) downloaded 69 time(s).
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