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Animation double pendulum and a pendulum on a spring - Ber7 - Сообщения

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

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

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

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

https://smath.com/wiki/GetFile.aspx?File=ElastSuspesion.rar
1 пользователям понравился этот пост
Andrey Ivashov 22.03.2012 20:24:00
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
Translated from Mathcad program (the author-Alen Stevens)
http://communities.ptc.com/videos/3335

https://smath.com/wiki/GetFile.aspx?File=ELastPend.rar
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 КиБ) скачан 232 раз(а).
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 КиБ) скачан 232 раз(а).
3 пользователям понравился этот пост
WrotePendulum 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 пользователям понравился этот пост
Rigid rod rocks on a circular surface (Ali H.Nayfeh,Dean T.Mook,Nonlinear Oscillations,1995)
Used an ODE plugin.
rigid1.smz (37 КиБ) скачан 218 раз(а).
Used an ODE plugin.

rigid1.smz (37 КиБ) скачан 218 раз(а).
2 пользователям понравился этот пост
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 КиБ) скачан 220 раз(а).
[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 КиБ) скачан 220 раз(а).
Martin Kraska
Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
2 пользователям понравился этот пост
Thank you,Martin! Your comments are absolutely correct.
I really made a mistake, you have corrected.
Workheet updated. Thank you again.
Fridel Selitsky.
I really made a mistake, you have corrected.
Workheet updated. Thank you again.
Fridel Selitsky.
1 пользователям понравился этот пост
Davide Carpi 31.07.2013 06:03:00
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 пользователям понравился этот пост
Davide Carpi 31.07.2013 06:03:00
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 КиБ) скачан 240 раз(а).
(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 КиБ) скачан 240 раз(а).
1 пользователям понравился этот пост
Martin Kraska 07.08.2013 07:00:00
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

PoluCil1.smz (9 КиБ) скачан 231 раз(а).
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

PoluCil1.smz (9 КиБ) скачан 231 раз(а).
3 пользователям понравился этот пост
Davide Carpi 11.08.2013 12:36:00, Вячеслав Мезенцев 11.08.2013 13:12:00, Martin Kraska 11.08.2013 16:41:00
2 пользователям понравился этот пост
Examples from the book “Ali H.Nayfeh,Dean T.Mook,Nonlinear Oscillations,1995”

Mass slides.smz (47 КиБ) скачан 231 раз(а).




Mass slides.smz (47 КиБ) скачан 231 раз(а).
1 пользователям понравился этот пост
Davide Carpi 02.09.2013 14:09:00
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