Double pendulum - Messaggi
#1 Pubblicato: 20/09/2026 10:08:09
Modificato 20/09/2026 10:09:28
#2 Pubblicato: 21/09/2026 11:02:24
Hi Valery. The system is coupled. This is a way to solve it.
double_pendulum_lagrangian.sm
double_pendulum_lagrangian.pdf
Best regards.
Alvaro.
double_pendulum_lagrangian.sm
double_pendulum_lagrangian.pdf
Best regards.
Alvaro.
2 utenti hanno apprezzato questo post
#3 Pubblicato: 21/09/2026 14:02:10
Yes, that is correct; I previously reported on the limitations regarding the systems.
The algorithm does not currently classify the task, so issues may arise with complex problems that the current method cannot solve. It might produce a plausible-looking solution that does not actually address the problem at hand.
The algorithm does not currently classify the task, so issues may arise with complex problems that the current method cannot solve. It might produce a plausible-looking solution that does not actually address the problem at hand.
Russia ☭ forever, Viacheslav N. Mezentsev
#4 Pubblicato: 21/09/2026 16:47:18
Thanks, Alvaro.
It reminds me of an old joke.
A funeral. A passerby asks, "Who are they burying?"
"That guy lying in the coffin."
That was a mathematician's answer—completely accurate and completely useless.
Mathcad 15
It reminds me of an old joke.
A funeral. A passerby asks, "Who are they burying?"
"That guy lying in the coffin."
That was a mathematician's answer—completely accurate and completely useless.
Mathcad 15
Modificato 21/09/2026 16:53:09
#5 Pubblicato: 22/09/2026 10:43:08
If mathematics is a tautology, then life must be one too. That joke reminds me of the one a plant process engineer played on me when I went to get the bourdon gauge I was supposed to install. Without a word, he handed me a brown box. That was when I have the bad idea of asking what was inside. His answer was that it contained a mechanical device that measures fluid pressure using a curved, flattened metal tube that straightens as internal pressure increases, driving an indicator needle across a calibrated dial.
The RKA function includes the necessary procedures to solve hard coupled systems.
double_pendulum_RKA.pdf
double_pendulum_RKA.sm
Best regards.
Alvaro.
The RKA function includes the necessary procedures to solve hard coupled systems.
double_pendulum_RKA.pdf
double_pendulum_RKA.sm
Best regards.
Alvaro.
2 utenti hanno apprezzato questo post
#6 Pubblicato: 08/10/2026 11:18:22
Thanks, Alvaro!
But I cannnot create five f(t) plots:
Potential energy of pendulum #1
Kynetic energy of pendulum #1
Potential energy of pendulum #2
Kynetic energy of pendulum #2
Sum of energies for the verify the model and ODEs solver. Must be const.
Help please!
But I cannnot create five f(t) plots:
Potential energy of pendulum #1
Kynetic energy of pendulum #1
Potential energy of pendulum #2
Kynetic energy of pendulum #2
Sum of energies for the verify the model and ODEs solver. Must be const.
Help please!
Modificato 08/10/2026 11:18:52
#7 Pubblicato: 09/10/2026 01:06:49
Hi Valery. This is a way. You can plot the time in T versus U, K or U+K. The plot in the figure shows that the energy is constant. In this case also, the total energy is the hamiltonian.
double_pendulum_RKA.sm
Best regards.
Alvaro.
double_pendulum_RKA.sm
Best regards.
Alvaro.
Modificato 09/10/2026 01:19:29
1 utenti hanno apprezzato questo post
ioan92 10/10/2026 18:59:13
#8 Pubblicato: 09/10/2026 20:11:32
Butterfly_Effect_Example.pptx
Hi Alvaro & Valery,
I enjoyed the matematical results of yours developements, without following all details.
I propose you a problem, dealing with the Butterfly Effect on a double pendulum - after some cycles, the 2 pendulums becoms distinct. Attached there is a simple gif file
Hi Alvaro & Valery,
I enjoyed the matematical results of yours developements, without following all details.
I propose you a problem, dealing with the Butterfly Effect on a double pendulum - after some cycles, the 2 pendulums becoms distinct. Attached there is a simple gif file
Do to others as you would like them to do to you! Knowledge is of no value unless you put it into practice - Chekhov
#9 Pubblicato: 10/10/2026 00:03:48
5 utenti hanno apprezzato questo post
Victor 16/10/2026 07:34:28, Valery Ochkov 10/10/2026 05:45:18, sergio 10/10/2026 08:51:15, ioan92 10/10/2026 12:34:44, Вячеслав Мезенцев 10/10/2026 16:02:19
#10 Pubblicato: 10/10/2026 12:30:41
Ooo it's wonderful!!!
My dumb explanation is that time delay generate between the 2 instances generate different precision in the solution graphics and hence the graphical difference (?).
Alvaro - All my thanks for your proverbial attention,
Have a nice WE,
Ioan
My dumb explanation is that time delay generate between the 2 instances generate different precision in the solution graphics and hence the graphical difference (?).
Alvaro - All my thanks for your proverbial attention,
Have a nice WE,
Ioan
Do to others as you would like them to do to you! Knowledge is of no value unless you put it into practice - Chekhov
1 utenti hanno apprezzato questo post
Alvaro 10/10/2026 19:03:11
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