Derivative in Maple - How insert - Сообщения
#1 Опубликовано: 05.12.2023 12:53:18
#2 Опубликовано: 05.12.2023 13:38:18
Ctrl+Shift+K.
Russia ☭ forever, Viacheslav N. Mezentsev
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Valery Ochkov 05.12.2023 13:54:00
#3 Опубликовано: 05.12.2023 22:44:09
Ctrl+Shift+K.
Can we solve this task with SMath + Mathcad
#4 Опубликовано: 06.12.2023 00:05:11
Можно попробовать, если будет доступен оригинальный документ Mathcad.
Russia ☭ forever, Viacheslav N. Mezentsev
#5 Опубликовано: 06.12.2023 00:55:01
#6 Опубликовано: 06.12.2023 03:09:08
Martin KraskaPre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
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Valery Ochkov 06.12.2023 04:16:00
#7 Опубликовано: 06.12.2023 05:04:43
#8 Опубликовано: 06.12.2023 05:15:14
Animation needed
#9 Опубликовано: 06.12.2023 07:57:07
#11 Опубликовано: 06.12.2023 14:38:55
See please the Fig. 4.10 here
http://twt.mpei.ac.ru/ochkov/Ochkov-V-F-Engineering-Calc.pdf
Now I would like to rewrite this Russian-English book with SMath. Help me please!
http://twt.mpei.ac.ru/ochkov/Ochkov-V-F-Engineering-Calc.pdf
Now I would like to rewrite this Russian-English book with SMath. Help me please!
#12 Опубликовано: 06.12.2023 20:02:42
#13 Опубликовано: 06.12.2023 21:27:58
#14 Опубликовано: 07.12.2023 06:47:42
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
Federpendel-NL.sm
Martin KraskaPre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
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#15 Опубликовано: 07.12.2023 13:03:36
More animations
https://community.ptc.com/t5/Mathcad/One-interesting-problrm-with-shue/td-p/635149
Let create it with SMath
Слабо?
https://community.ptc.com/t5/Mathcad/One-interesting-problrm-with-shue/td-p/635149
Let create it with SMath
Слабо?
#16 Опубликовано: 07.12.2023 15:59:36
In this version you can specify the initial force in the spring. The initial conditions for x and y are adjusted appropriately.
Federpendel-NL.sm
Federpendel-NL.sm
Martin KraskaPre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
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#17 Опубликовано: 08.12.2023 03:12:47
Your Mathcad Given/Odesolve ... solves via Maple.
Verhulst solves wrt limits ... pretty advanced.
Inst_Verhulst.sm
Verhulst solves wrt limits ... pretty advanced.
Inst_Verhulst.sm
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Valery Ochkov 08.12.2023 08:11:00
#18 Опубликовано: 08.12.2023 05:06:15
The equations of motion, using Lagrange dynamics, from this post:
ElasticPendulum.sm
Best regards.
Alvaro.
ElasticPendulum.sm
Best regards.
Alvaro.
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#19 Опубликовано: 08.12.2023 07:54:19
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
Best regards.
Alvaro.
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Valery Ochkov 08.12.2023 08:10:00, Martin Kraska 08.12.2023 15:04:00, Вячеслав Мезенцев 08.12.2023 15:35:00
#20 Опубликовано: 08.12.2023 13:00:10
Have you seen this plot
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