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Offline OchkovVF  
#1 Posted : 05 December 2023 18:53:18(UTC)
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Pendulum-D-t-0.png
Pendulum.sm (234kb) downloaded 8 time(s).
Offline uni  
#2 Posted : 05 December 2023 19:38:18(UTC)
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Ctrl+Shift+K.
Russia ☭ forever
Viacheslav N. Mezentsev
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on 05/12/2023(UTC)
Offline OchkovVF  
#3 Posted : 06 December 2023 04:44:09(UTC)
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Originally Posted by: uni Go to Quoted Post
Ctrl+Shift+K.


Can we solve this task with SMath + Mathcad
Hook.png
Offline uni  
#4 Posted : 06 December 2023 06:05:11(UTC)
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Можно попробовать, если будет доступен оригинальный документ Mathcad.
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Offline OchkovVF  
#5 Posted : 06 December 2023 06:55:01(UTC)
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Можно попробовать, если будет доступен оригинальный документ Mathcad.


Pendulum-Spring.xmcd (160kb) downloaded 7 time(s).
Offline mkraska  
#6 Posted : 06 December 2023 09:09:08(UTC)
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The definition of l(t) must be inside or above the Mathcad block

Federpendel-block.sm (40kb) downloaded 12 time(s).
Federpendel-block.png
Martin Kraska

Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
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Offline OchkovVF  
#7 Posted : 06 December 2023 11:04:43(UTC)
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My solution
Pendulum-Spring1.png
Pendulum-Spring2.png
Pendulum-Spring.xmcd (83kb) downloaded 3 time(s).

Offline OchkovVF  
#8 Posted : 06 December 2023 11:15:14(UTC)
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Animation needed
Pendulum-Spring2s.png
Pendulum-Spring3s.png
Pendulum-Spring70s.png

Offline Jean Giraud  
#9 Posted : 06 December 2023 13:57:07(UTC)
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Simple pendulum + animation.

ODE Pendulum Copy.sm (104kb) downloaded 3 time(s).
Offline Razonar  
#10 Posted : 06 December 2023 18:49:26(UTC)
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Comparing with the usual elastic pendulum.


Click to enlarge


Ochkov elastic pendulum.sm (33kb) downloaded 11 time(s).

Best regards.
Alvaro.
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Offline OchkovVF  
#11 Posted : 06 December 2023 20:38:55(UTC)
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See please the Fig. 4.10 here
http://twt.mpei.ac.ru/oc...V-F-Engineering-Calc.pdf
Now I would like to rewrite this Russian-English book with SMath. Help me please!

EEE.png

Edited by user 06 December 2023 20:43:22(UTC)  | Reason: Not specified

Offline OchkovVF  
#12 Posted : 07 December 2023 02:02:42(UTC)
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Why I have an error in this task? Help please!
Pund-Spring.sm (16kb) downloaded 3 time(s).
Pund-Spring.png
Offline OchkovVF  
#13 Posted : 07 December 2023 03:27:58(UTC)
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More simple task
Pund.sm (12kb) downloaded 2 time(s).
Pund.png
Offline mkraska  
#14 Posted : 07 December 2023 12:47:42(UTC)
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If F(t) is requested as result, you have to specify F'(t). k(F) is the tangential stiffness of the spring, the inverse of the tangential compliance.

Federpendel-NL.sm (14kb) downloaded 9 time(s).
Federpendel-NL.png

Edited by user 07 December 2023 12:50:19(UTC)  | Reason: Not specified

Martin Kraska

Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
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Offline OchkovVF  
#15 Posted : 07 December 2023 19:03:36(UTC)
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More animations
https://community.ptc.co...rm-with-shue/td-p/635149
Let create it with SMath
Слабо?

Edited by user 07 December 2023 19:32:19(UTC)  | Reason: Not specified

Offline mkraska  
#16 Posted : 07 December 2023 21:59:36(UTC)
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In this version you can specify the initial force in the spring. The initial conditions for x and y are adjusted appropriately.

Federpendel-NL.png
Federpendel-NL.sm (16kb) downloaded 11 time(s).
Martin Kraska

Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
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on 08/12/2023(UTC),  on 08/12/2023(UTC)
Offline Jean Giraud  
#17 Posted : 08 December 2023 09:12:47(UTC)
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Your Mathcad Given/Odesolve ... solves via Maple.
Verhulst solves wrt limits ... pretty advanced.

Inst_Verhulst.sm (28kb) downloaded 2 time(s).
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Offline Razonar  
#18 Posted : 08 December 2023 11:06:15(UTC)
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The equations of motion, using Lagrange dynamics, from this post:

eqm.png

ElasticPendulum.sm (245kb) downloaded 7 time(s).

Best regards.
Alvaro.

Edited by user 08 December 2023 11:16:00(UTC)  | Reason: Not specified

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Offline Razonar  
#19 Posted : 08 December 2023 13:54:19(UTC)
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Originally Posted by: mkraska Go to Quoted Post
In this version you can specify the initial force in the spring. The initial conditions for x and y are adjusted appropriately. ...


A comparison between Martin's solution and that given by the equations of motion obtained from the Lagrangian. Spoiler: both give the same result.

I'd like to point out how incredibly complicated this problem actually is, and what a series of brilliant implementations Martin makes. For example, where the hell does he get the time derivative of the force on an elastic bar when he is given only the length of the bar as a function of the force? Obviously, it is not enough to apply the theorem of the derivative of the inverse function, but you also have to have a deep knowledge of the mechanics of the system to remember something called tangential stiffness, and although it uses k to represent it, we forgive it because It's German and they are well known to use their own abbreviations. Well, actually I don't know what letter to use, because I don't remember ever using that magnitude for any practical purpose, but in Spanish literature it is quite common to use k for its inverse, which is the constant that appears in Hooke's law. Or at least I think so, because the existence of elastic bodies is actually a complication, they should all be rigid better.

Another notable thing about this example is that I would like someone to please explain to me how the hell the Viacheslav plugin manages to handle l'(t) within the equations, because I honestly didn't expect it.

Federpendel-NL - Lagrangian.sm (258kb) downloaded 6 time(s).

Best regards.
Alvaro.
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Offline OchkovVF  
#20 Posted : 08 December 2023 19:00:10(UTC)
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Have you seen this plot
tau.png
Fig-5-Pendulum-Plot-7-Little.png

Edited by user 08 December 2023 19:11:42(UTC)  | Reason: Not specified

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