solving simultaneous equations with Solve - Solve() Maxima not working - Сообщения
#1 Опубликовано: 05.04.2022 15:45:27
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
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
#3 Опубликовано: 05.04.2022 18:24:50
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
However, to use Assign() you will need this function to merge vars and solutions.
Regards
Assign_without_Maxima Solve().sm
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Mo 05.04.2022 22:22:00
#4 Опубликовано: 05.04.2022 22:22:48
Thanks Overlord, PompelmoTell, greatly appreciated!!
#5 Опубликовано: 06.04.2022 10:28:07
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):
*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](/ru-RU/files/Download/23FW8Q/[SMath]-Simultaneous-Equations.jpg)
- Kenny Lemens, P.E.
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}- - -
- 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 06.04.2022 11:57:00
#6 Опубликовано: 06.04.2022 11:40:36
#7 Опубликовано: 07.04.2022 11:08:53
...
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Fridel Selitsky 07.04.2022 11:54:00
#8 Опубликовано: 07.04.2022 13:43:03
#9 Опубликовано: 07.04.2022 17:27:55
solving with uni's latest addition mathcad blocks;
you wouldn't need Eq: actually, but it can be shown.
mathblock.sm
you wouldn't need Eq: actually, but it can be shown.
mathblock.sm
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Mo 09.04.2022 22:28:00
#10 Опубликовано: 07.04.2022 18:19:34
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
There is also this way for guess define.
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
There is also this way for guess define.
#11 Опубликовано: 08.04.2022 02:19:42
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.
This is good, but for a system of linear equations(our case), the guess can be arbitrary.
#12 Опубликовано: 08.04.2022 20:04:07
Martin Kraska
Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
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sergio 09.04.2022 04:48:00
#13 Опубликовано: 11.04.2022 09:57:44
Greetings,
If plugins are considered, you can also consider the use of Maple:
- - -![[SMath] Maple - Simulatneous Equ..jpg](/ru-RU/files/Download/yzzGBF/[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.
If plugins are considered, you can also consider the use of Maple:
- - -
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 Опубликовано: 11.04.2022 16:44:08
Hi. The isol solution, using only the Mathcad block plugin.
isol_example.sm
isol_example.pdf
Best regards.
Alvaro.
isol_example.sm
isol_example.pdf
Best regards.
Alvaro.
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sergio 12.04.2022 05:01:00
#15 Опубликовано: 14.04.2022 12:10:17
Thank you all for the feedback, is there a literature or manual to explain the Mathcad block plugin?
Thanks
Thanks
#16 Опубликовано: 14.04.2022 14:54:00
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
#17 Опубликовано: 14.04.2022 19:43:45
Exercise the Mathcad bloc
#18 Опубликовано: 14.04.2022 20:19:07
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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