Thermal Physics - Rod in Cylinder

#1 Pubblicato: 30/01/2018 15:40:39

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I have another MC sheet I'm working on in SMATH. I am not certain how to solve for/ replace the "Find" solver in MC. Attached is my worksheet and the pdf of the Prime MC sheet.

I welcome any help to solve this.

Thank you,

File non trovato.File non trovato.

#2 Pubblicato: 30/01/2018 21:02:26

CBG

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This can be one of the solutions.
The "T" in the formula can be easily isolated.

Thermal Physics - Rod in Cylinder_R1.sm (13,95 KiB) scaricato 1228 volta(e).

Best Regards

Carlos

#3 Pubblicato: 31/01/2018 01:46:31

Jean Giraud

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Wrote
This can be one of the solutions.
The "T" in the formula can be easily isolated.

Well done Carlos,

I think it can be plotted directly on the canvas
Will try tomorrow [tonight, I'm dead... not completely !]

Jean

#4 Pubblicato: 31/01/2018 02:43:54

Jean Giraud

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Wrote
I think it can be plotted directly on the canvas
Will try tomorrow

roots(,,) solve on the canvas.
Next matter is the unit system to be adapted,
unfortunately incompetent on that !

#5 Pubblicato: 31/01/2018 05:24:21

Martin Kraska

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Not nearly as nice as your Mathcad sheet...

Uses the symbolic solver in Maxima. You have to select one of the four solutions, I guess the
real positive one is correct.

Thermal%20Physics%20-%20Rod%20in%20Cylinder_Kr.sm (39,56 KiB) scaricato 1450 volta(e).

2018-01-30 22_02_41-SMath Studio 0.98.6598 - [Thermal%20Physics%20-%20Rod%20in%20Cylinder.sm_].png

Technische Mechanik mit SMath Studio: https://link.springer.com/book/10.1007/978-3-658-50592-9

2 utenti hanno apprezzato questo post

frapuano 31/01/2018 06:03:00, Radovan Omorjan 31/01/2018 08:24:00

#6 Pubblicato: 31/01/2018 10:54:01

Norm Schutzkus

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Thank you, all, for your help. I'll look closer at the solutions presented; learning more about SMATH.

Martin, I get a message opening your sheet looking for "Maxima.bat". Is this in a plugin that I need to download? Your sheet presents the following message: "Initializing error. Please reinitialize under settigs."

Norm

#7 Pubblicato: 31/01/2018 11:34:41

Martin Kraska

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Please follow the link in my signature, there you find instructions how to install Maxima (a free CAS system) and how to tell SMath where to find it.

Technische Mechanik mit SMath Studio: https://link.springer.com/book/10.1007/978-3-658-50592-9

#8 Pubblicato: 31/01/2018 12:46:11

Jean Giraud

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Try this in stricly Smath ... done 6179.

Very interesting, but missing the physical drawing !!!

Solve Maple Thermal Physics.sm (33,55 KiB) scaricato 1166 volta(e).

#9 Pubblicato: 31/01/2018 13:25:11

CBG

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One of the solutions with graphics.

Thermal Physics - Rod in Cylinder_R2.sm (15,96 KiB) scaricato 1235 volta(e).

Best Regards

Carlos

#10 Pubblicato: 31/01/2018 14:18:07

Alvaro

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Hi. In the attached, just numerical methods, and how to parametrize the solver, like Mathcad find solve blocks.

Best regards.

Alvaro.

Thermal Physics - Rod in Cylinder.sm (17,65 KiB) scaricato 1210 volta(e).

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Fridel Selitsky 31/01/2018 15:11:00

#11 Pubblicato: 31/01/2018 15:18:10

Norm Schutzkus

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Carlos, Jean, Martin and Alvaro, many thanks! Your support is superb!

There's a lot here for me to digest.

Norm

#12 Pubblicato: 31/01/2018 19:40:41

Jean Giraud

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Wrote
Carlos, Jean, Martin and Alvaro, many thanks! Your support is superb!

There's a lot here for me to digest.

Norm

Norm,

observe closely your function ... it has rational format.
It suggests that a rational model would fit the data set.
Isn't true looking at the fit from a 4 terms rational.
The red and green traces from Carlos would be as easy, not done.

Please, don't forget the physical drawing.
You could do the very same in Mathcad.

Jean

Maths Thermal Physics - Rod in Cylinder_R2.sm (66,84 KiB) scaricato 1258 volta(e).

#13 Pubblicato: 31/01/2018 21:26:44

overlord

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Yet another one without using for-loops and using both [Built-in Plot] and [X-Y Plot Plugin].
God I really don't like to look at those for-loops, thanks to Andrey I will avoid them as much as I can. (Smath Studio 0.98.6604)

Thermal Physics - Rod in Cylinder_R3.sm (20,18 KiB) scaricato 1250 volta(e).

#14 Pubblicato: 01/02/2018 00:46:42

Jean Giraud

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Wrote
God I really don't like to look at those for-loops, thanks to Andrey I will avoid them as much as I can.

Not backward compatible ... maybe a bug ?
I welcomed that feature as it was announced. And reattached Mandelbroth,
no answer from Designers ... maybe not so gorgeous as you pretend.

#15 Pubblicato: 01/02/2018 01:18:17

Alvaro

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As I say before, this is a general numeric setup.
Best regards.
Alvaro.Thermal Physics - Rod in Cylinder.sm (24,85 KiB) scaricato 1218 volta(e).

#16 Pubblicato: 01/02/2018 02:36:46

Jean Giraud

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Wrote
As I say before, this is a general numeric setup.

Alvaro,

Your original [previous] is a gorgeous piece of work.
Just needed be doctored a bit. It might be compacted.

Jean

Maths Thermal Physics - Rod in Cylinder_R2 [Alvaro].sm (20,96 KiB) scaricato 1091 volta(e).

#17 Pubblicato: 01/02/2018 03:41:35

overlord

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Wrote

Wrote
God I really don't like to look at those for-loops, thanks to Andrey I will avoid them as much as I can.

Not backward compatible ... maybe a bug ?
I welcomed that feature as it was announced. And reattached Mandelbroth,
no answer from Designers ... maybe not so gorgeous as you pretend.

It shouldn't work before 6580, using range like this is introduced with this verison as far as I remember. This is why I have written the Smath version I used. Anyway, below you can see how it looks. Still I think it looks better then for-loops.

Regards

Thermal Physics - Rod in Cylinder_R3.png

#18 Pubblicato: 01/02/2018 04:21:55

Alvaro

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Hi Jean.

The point about MAXITERS is to figure after the root function body, not before in such way that you can change it like TOL in Mathcad.

Also notice that in your worksheet you don't call the function Bisection defined there, but the function Bisection from the Nonlinear solvers plugin.

Best regards.

Alvaro.

#19 Pubblicato: 01/02/2018 04:41:33

Radovan Omorjan

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Hello,

Sooner or later, this way or another - one will end up by using some nonlinear solvers.

Regards,
Radovan

When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"

#20 Pubblicato: 01/02/2018 11:32:21

Jean Giraud

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Wrote
It shouldn't work before 6580, using range like this is introduced with this verison as far as I remember. This is why I have written the Smath version I used. Anyway, below you can see how it looks. Still I think it looks better then for-loops.

I love for-loops !

1. with units => "Matrix must be square"
2. w/o units => "Can not calculate"

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