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24-Ruby IV

## Hello, World! See my 1-st Prime Animation!

1 ACCEPTED SOLUTION

Accepted Solutions

Great stuff Val!

106 REPLIES 106
13-Aquamarine
(To:ValeryOchkov)

Amazing Valery!

is it possible to run the animation in Prime like running animations via range variable in MC15?

Volker
24-Ruby IV
(To:vlehner)
 Volker Lehner написал(а): Amazing Valery!

Thanks!

 ```Volker Lehner написал(а): is it possible to run the animation in Prime like running animations via range variable in MC15? ```

We use the variable FRAME in Mathcad 15 not range variable!

24-Ruby IV
(To:ValeryOchkov)

But is the model correct?

Must forces F1, F2 and F3 be always negative?

13-Aquamarine
(To:ValeryOchkov)

I'd say Yes!

I changed some initial Values and then forces became also positiv and negative.

How are you doing that the mass-points make lines in the diagram?
Is it a Vektor?
couldn't figure out it.
Volker
24-Ruby IV
(To:vlehner)

Sorry, by my ICs we have one positive force at t=1.8 s

I think the model is correct. Or?

13-Aquamarine
(To:ValeryOchkov)

Valery,

my physical understanding would say yes.

And the sum of all energies seems to be constant (Apart from the peaks in the diagram...)

But the peaks could be an inaccuracy in the calculation process of the simulation.

The amount of the maximum deviation in the diagram is only about 0.02 joules

acting Forces at:

and

are this:

at the time of 1.8s i got this result:

nearly constant energy of 0 Joules and a positive force F3.

What do you want more-I think it's ok with all.

regards Volker

ps.: please help me with a simple example to plot traces in a diagram like a mass point does make in your sheet.

Volker
24-Ruby IV
(To:vlehner)

I think it is an unstable numerical solution an t >1.8 s

See one my old animation with 4 pendulums at FRAME>400

13-Aquamarine
(To:ValeryOchkov)

That looks cool!

especially th moving tracks.

Volker
24-Ruby IV
(To:vlehner)

>What do you want more-I think it's ok with all.

I am preparing an article and would like to see you and Fred as coauthors! OK?

13-Aquamarine
(To:ValeryOchkov)

>I am preparing an article and would like to see you and Fred as coauthors! OK?<

Thank you Valery!

That's an honor for me an i appreciate it.

Volker
24-Ruby IV
(To:vlehner)

ok! I I will send the draft of the article tomorrow!

At first in Russian and than or parallel in English!

Sorry, in German too?

13-Aquamarine
(To:ValeryOchkov)

If it doesn't make too much effort, ok in german but it's not a must.

Thank you again Valery!

Я также хотел бы помочь

Volker
24-Ruby IV
(To:vlehner)

See please the first version of the article in attach

Бог в помощь!

24-Ruby IV
(To:vlehner)

>ps.: please help me with a simple example to plot traces in a diagram like a mass point does make in your sheet.

24-Ruby IV
(To:ValeryOchkov)

The string must break in this moment

13-Aquamarine
(To:ValeryOchkov)

no it doesn't.

These are only about -18.41 Newtons 😉

Volker
13-Aquamarine
(To:ValeryOchkov)

Valery,

What are the Forces F1, F2, F3 exactly?

Are these the Forces which have the same direction like the strings (=colinear)?

I try to verify the acting forces again  to be sure if all be allright.

Volker
24-Ruby IV
(To:vlehner)

>Are these the Forces which have the same direction like the strings (=colinear)?

Yes!

F<0 - Stretching of the string

F>0 - Compression - not possible with a string (see at t= 1.8 s). Check please!

13-Aquamarine
(To:ValeryOchkov)

>F>0 - Compression - not possible with a string (see at t= 1.8 s). Check please!<

With an ammount of 0.008 Newton- it's a inaccuracy of calculation in my opinion.

In that moment, we would have a free falling body.

We should do an experiment, and see what the string does make at the force>0. (needing a high speed camera)

If the strings are stiff (we didn't take into account at the beginning of our simulation) what would then happen?

I want to try to setup a calculation with Lagrangesche Formulas, but it's a hard way to do.
Volker
24-Ruby IV
(To:vlehner)

We can describe all this in the article!

24-Ruby IV
(To:vlehner)

> it's a inaccuracy of calculation in my opinion.

I think  this picture can tell us some thing about accuracy:

24-Ruby IV
(To:vlehner)

>I want to try to setup a calculation with Lagrange's Formulas, but it's a hard way to do.

From one my book:

Тут нужно вспомнить об инерциальных и неинерциальных системах отсчета, не только о ньютоновской, но и о лагранжевой и гамильтоновой механике, а также о других тонкостях раздела физики под названием динамика. Впрочем, наш вопрос о том, какая кривая на рис. 9.37 более правильная, сам посебе не со  всем корректен. В настоящее время, почти все физические журналы не принимают к рассмотрению не только статьи с описанием вечных двигателей, но и статьи по небесной механике с опорой на ньютоновскую механику. Но наша книга не о механике, а о том, как старые не очень сложные задачи решать с помощью современных компьютерных средств.

Here we need to recall inertial and non-inertial frames of reference, not only Newtonian, but also Lagrange and Hamiltonian mechanics, as well as other subtleties of the physics section called dynamics. However, our question about which curve in Fig. 9.37 is more correct, not by itself? Everything is correct. At the present time, almost all physical journals do not take into consideration not only articles describing perpetual motion machines, but also articles on celestial mechanics with reliance on Newtonian mechanics. But our book is not about mechanics, but about how to solve old, not very difficult tasks with the help of modern computer tools.

13-Aquamarine
(To:ValeryOchkov)

Hello Valery,

acting forces seems to be ok for me.

preparing the Lagrangesche for three Variables (phi 1, phi 2 and phi 3 as generalized koordinates for the systen)

...stay tuned...

Volker

Volker
24-Ruby IV
(To:vlehner)

Last version of the article in attach!

"Наши цели ясны! Задачи определены! За работу, товарищи!" (Н.С. Хрущев)

24-Ruby IV
(To:vlehner)

One more picture for thinking

13-Aquamarine
(To:ValeryOchkov)

What the pendulum with 3 masses is concerned: Lagrangesche Formulas - I cannot handle the huge equations with Mathcad Prime solve block.

The better way is to use mechanical Formulas (Newton's Laws) like Valery did.

I made the Lagrangesche for a pendulum with 2 masses and it works perfect.

And now i plottet my first trajektory with Prime in the attached example. Wohuuuuu!!!!!

Valery: pleas tell me the internet programm that i can visualize a moving pendulum trajektory.

Volker
24-Ruby IV
(To:vlehner)
 ```Volker Lehner написал(а): Valery: pleas tell me the internet programm that i can visualize a moving pendulum trajektory. ```

https://ru.toolson.net/GifAnimation/Create

13-Aquamarine
(To:ValeryOchkov)

THX!

Volker
24-Ruby IV
(To:vlehner)

Sorry,

I cannot open your files in Prime 4.0

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