Thermal Physics - Rod in Cylinder

#1 Publicado: 30/1/2018 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,

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#2 Publicado: 30/1/2018 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) descargado 1223 vez(es).

Best Regards

Carlos

#3 Publicado: 31/1/2018 1:46:31

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 Publicado: 31/1/2018 2:43:54

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 Publicado: 31/1/2018 5:24:21

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) descargado 1446 vez(es).

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

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frapuano 31/1/2018 6:03:00, Radovan Omorjan 31/1/2018 8:24:00

#6 Publicado: 31/1/2018 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 Publicado: 31/1/2018 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 Publicado: 31/1/2018 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) descargado 1160 vez(es).

#9 Publicado: 31/1/2018 13:25:11

CBG

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One of the solutions with graphics.

Thermal Physics - Rod in Cylinder_R2.sm (15,96 KiB) descargado 1227 vez(es).

Best Regards

Carlos

#10 Publicado: 31/1/2018 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) descargado 1206 vez(es).

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Fridel Selitsky 31/1/2018 15:11:00

#11 Publicado: 31/1/2018 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 Publicado: 31/1/2018 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) descargado 1252 vez(es).

#13 Publicado: 31/1/2018 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) descargado 1244 vez(es).

#14 Publicado: 1/2/2018 0:46:42

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 Publicado: 1/2/2018 1:18:17

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) descargado 1215 vez(es).

#16 Publicado: 1/2/2018 2:36:46

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) descargado 1086 vez(es).

#17 Publicado: 1/2/2018 3:41:35

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 Publicado: 1/2/2018 4:21:55

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 Publicado: 1/2/2018 4:41:33

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 Publicado: 1/2/2018 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"

Foro SMath

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