solving simultaneous equations with Solve

solving simultaneous equations with Solve - Solve() Maxima not working - Mensajes

#1 Publicado: 5/4/2022 15:45:27
Mo

Mo

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hi,
I used the Solve function a lot before but for some reason it does not work for this simple example.
I need to get the RayLeigh Damping factors alpha and beta using two frequencies, so two simple simultaneous equations should do it. tried using Solve but no luck.
Does anyone know why it is not solving?

Thanks in advance

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#2 Publicado: 5/4/2022 16:39:40
sergio

sergio

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Mostrar spoiler


test_sergio.sm (8,05 KiB) descargado 1246 vez(es).
sergio
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Mo 5/4/2022 22:22:00
#3 Publicado: 5/4/2022 18:24:50
overlord

overlord

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You can use roots() for your function. And a vectorize() can simplify it.
However, to use Assign() you will need this function to merge vars and solutions.

Regards

Assign_without_Maxima Solve().sm (7,36 KiB) descargado 1317 vez(es).

2022-04-06_00-21.png
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Mo 5/4/2022 22:22:00
#4 Publicado: 5/4/2022 22:22:48
Mo

Mo

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Thanks Overlord, PompelmoTell, greatly appreciated!!
#5 Publicado: 6/4/2022 10:28:07
⚜ Kenny Lemens, P.E. ᵂᴵ

⚜ Kenny Lemens, P.E. ᵂᴵ

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Greetings,

Another approach would be to use some elbow grease, you can substitute terms by hand and solve for 𝛼 and 𝛽:

Keypress (You can copy/paste the following into your worksheet):
α:{2*D*ω.1*ω.2}/{ω.1+ω.2}
β:α/{ω.1*ω.2}
*NOTE: ω.1 and ω.2 shown above are variables with subscript, they are not vectors ω[1 and ω[2; You should be able to substitute ω.1 for ω[1 if that serves your purposes.

- - - [SMath] Simultaneous Equations.jpg


- Kenny Lemens, P.E.
"No matter where you go, there you are." -Buckaroo BanzaiHotkeys: https://en.smath.com/forum/resource.ashx?a=45771&b=2
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Mo 6/4/2022 11:57:00
#6 Publicado: 6/4/2022 11:40:36
Fridel Selitsky

Fridel Selitsky

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If the damping coefficients are denoted by α1 and α2, you can use the function al_nlegsoive
test.sm (6,99 KiB) descargado 1332 vez(es).
test.png
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sergio 6/4/2022 12:26:00, Mo 6/4/2022 11:57:00
#7 Publicado: 7/4/2022 11:08:53
Jean Giraud

Jean Giraud

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...

FindRoot.PNG
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Fridel Selitsky 7/4/2022 11:54:00
#8 Publicado: 7/4/2022 13:43:03
Jean Giraud

Jean Giraud

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... more in there from native Smath code.

Solve FindRoot FORUM.sm (10,9 KiB) descargado 1298 vez(es).
#9 Publicado: 7/4/2022 17:27:55
overlord

overlord

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solving with uni's latest addition mathcad blocks;
you wouldn't need Eq: actually, but it can be shown.

mathblock.sm (5,15 KiB) descargado 1300 vez(es).

2022-04-07_23-26.png
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Mo 9/4/2022 22:28:00
#10 Publicado: 7/4/2022 18:19:34
overlord

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I think this is the most sophisticated method of my way.
It can get unknowns from equation, solve them.
In the end assigns numerical values to unknowns.
You don't need to define alpha or beta or any variable.
All process is automatic.

Regards

mathblock_v2.sm (5,19 KiB) descargado 1319 vez(es).

2022-04-08_01-54.png

There is also this way for guess define.

2022-04-08_01-57.png
#11 Publicado: 8/4/2022 2:19:42
Fridel Selitsky

Fridel Selitsky

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Wrote

I think this is the most sophisticated method of my way.
It can get unknowns from equation, solve them.
In the end assigns numerical values to unknowns.
You don't need to define alpha or beta or any variable.
All process is automatic.

Regards
There is also this way for guess define.


2022-04-08_01-57.png


This is good, but for a system of linear equations(our case), the guess can be arbitrary.
#12 Publicado: 8/4/2022 20:04:07
Martin Kraska

Martin Kraska

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And finally a version with Solve() and list injection region:

mathblock_Solve.png
mathblock_Solve.sm (4,86 KiB) descargado 1277 vez(es).
Technische Mechanik mit SMath Studio: https://link.springer.com/book/10.1007/978-3-658-50592-9
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sergio 9/4/2022 4:48:00
#13 Publicado: 11/4/2022 9:57:44
⚜ Kenny Lemens, P.E. ᵂᴵ

⚜ Kenny Lemens, P.E. ᵂᴵ

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Greetings,

If plugins are considered, you can also consider the use of Maple:
- - - [SMath] Maple - Simulatneous Equ..jpg

In the image I posted, the 'equal sign' shown on those two equations are actually symbolic equals; keypress: [ctrl] + [.] instead of keypress [=].

Kenny Lemens, P.E.
"No matter where you go, there you are." -Buckaroo BanzaiHotkeys: https://en.smath.com/forum/resource.ashx?a=45771&b=2
#14 Publicado: 11/4/2022 16:44:08
Alvaro

Alvaro

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Hi. The isol solution, using only the Mathcad block plugin.

img1.png

isol_example.sm (68,13 KiB) descargado 1258 vez(es).
isol_example.pdf (34,57 KiB) descargado 729 vez(es).

Best regards.
Alvaro.
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sergio 12/4/2022 5:01:00
#15 Publicado: 14/4/2022 12:10:17
Mo

Mo

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Thank you all for the feedback, is there a literature or manual to explain the Mathcad block plugin?
Thanks
#16 Publicado: 14/4/2022 14:54:00
Jean Giraud

Jean Giraud

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Wrote

Thank you all for the feedback, is there a literature or manual to explain the Mathcad block plugin ?


For that particular example, maple is an algebraic export.
Mathcad block has not yet been exemplified in Smath Community
of what it can do vs what native Smath can't.
Cheers ... Jean.

Codes Solve.sm (12,46 KiB) descargado 1301 vez(es).
#17 Publicado: 14/4/2022 19:43:45
Jean Giraud

Jean Giraud

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Exercise the Mathcad bloc

MathBloc Test.PNG
#18 Publicado: 14/4/2022 20:19:07
overlord

overlord

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Wrote

Thank you all for the feedback, is there a literature or manual to explain the Mathcad block plugin?
Thanks


We have what Viacheslav provided us.
There are some samples or functions too which individual users uploaded.
You can look the extension page for some examples.
And there are some samples in forum topic that users posted.
It may be a small bunch, but we try to understand its capabilities.
This feature/plugin is also new to us.

Regards

https://en.smath.com/forum/yaf_postst726_Mathcad-Toolbox.aspx
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