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Offline OchkovVF  
#1 Posted : 12 March 2024 04:27:01(UTC)
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See please the attach.
I cannot solve the system of equation by all the alpha values from 0 too 360 deg.
Is there the better solver for this task?
Or the better way for the solution.
Chebyshevs-Foot-Stepping-Machine.sm (180kb) downloaded 12 time(s).

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Offline StvMath  
#2 Posted : 12 March 2024 06:29:43(UTC)
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Your expressions for (x4, y4) were unnecessarily complicated. See attached (Also with a better initial guess for x0).

Chebyshevs-Foot-Stepping-Machine_b.sm (177kb) downloaded 5 time(s).

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on 12/03/2024(UTC)
Offline OchkovVF  
#3 Posted : 12 March 2024 08:12:27(UTC)
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Originally Posted by: StvMath Go to Quoted Post
Your expressions for (x4, y4) were unnecessarily complicated. See attached (Also with a better initial guess for x0).

Chebyshevs-Foot-Stepping-Machine_b.sm (177kb) downloaded 5 time(s).


I'm sorry, but this is not correct. The coordinates of point 4 should depend on the length L.04.

Offline StvMath  
#4 Posted : 12 March 2024 09:50:39(UTC)
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Originally Posted by: OchkovVF Go to Quoted Post
Originally Posted by: StvMath Go to Quoted Post
Your expressions for (x4, y4) were unnecessarily complicated. See attached (Also with a better initial guess for x0).

Chebyshevs-Foot-Stepping-Machine_b.sm (177kb) downloaded 5 time(s).


I'm sorry, but this is not correct. The coordinates of point 4 should depend on the length L.04.




Because L.04 is the same length as L.03 it does, in fact, implicitly depend on L.04. Check the two files for a few angles and you will see that they give the same results (except that my file works for all angles).

Basically, I've used the fact that (x4 + x3)/2 = x0 and (y4 + y3)/2 = y0.

If L.04 and L.03 are different lengths a weighted average would be used, i.e. (L.03*x4 + L.04*x3)/(L.03 + L.04) = x0 and (L.03*y4 + L.04*y3)/(L.03 + L.04) = y0.

Edited by user 12 March 2024 10:26:25(UTC)  | Reason: Not specified

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Offline OchkovVF  
#5 Posted : 12 March 2024 21:37:09(UTC)
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Thanks!
See? please the attach
Chebyshevs-Foot-Stepping-Machine.sm (179kb) downloaded 2 time(s).
Now I will try to plot the trac of the point 4.
Help me please.
Offline StvMath  
#6 Posted : 13 March 2024 01:47:02(UTC)
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Originally Posted by: OchkovVF Go to Quoted Post
Thanks!
See? please the attach
Chebyshevs-Foot-Stepping-Machine.sm (179kb) downloaded 2 time(s).
Now I will try to plot the trac of the point 4.
Help me please.


See attached (but I'll leave you to do any animation!).

Chebyshevs-Foot-Stepping-Machine_c.sm (177kb) downloaded 5 time(s).
thanks 1 user thanked StvMath for this useful post.
on 13/03/2024(UTC)
Offline OchkovVF  
#7 Posted : 13 March 2024 04:07:28(UTC)
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Thanks!
See please my little editing
Chebyshevs-Foot-Stepping-Machine-Trace.sm (178kb) downloaded 4 time(s).

One question
See please
Chebyshevs-Foot-Stepping-Machine-Trace-Plot.sm (179kb) downloaded 5 time(s).
and tell me - it is my or SMath bug with the plot?
Offline StvMath  
#8 Posted : 13 March 2024 06:19:48(UTC)
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Originally Posted by: OchkovVF Go to Quoted Post
Thanks!

One question
See please
Chebyshevs-Foot-Stepping-Machine-Trace-Plot.sm (179kb) downloaded 5 time(s).
and tell me - it is my or SMath bug with the plot?



?? I don't see anything wrong with the plot!
Offline OchkovVF  
#9 Posted : 13 March 2024 07:19:04(UTC)
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?? I don't see anything wrong with the plot!


See please2-Plots.png

Offline StvMath  
#10 Posted : 13 March 2024 07:27:07(UTC)
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Originally Posted by: OchkovVF Go to Quoted Post

?? I don't see anything wrong with the plot!


See please



Oh!, I see! Just double-click on the plot, select Traces, then for each of Traces 2 through 6 select Symbol style, then Circle.
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on 13/03/2024(UTC)
Offline OchkovVF  
#11 Posted : 13 March 2024 07:30:06(UTC)
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Originally Posted by: StvMath Go to Quoted Post
Originally Posted by: OchkovVF Go to Quoted Post

?? I don't see anything wrong with the plot!


See please



Oh!, I see! Just double-click on the plot, select Traces, then for each of Traces 2 through 6 select Symbol style, then Circle.


it's one bug?
Offline OchkovVF  
#12 Posted : 13 March 2024 07:43:29(UTC)
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About this task see please pp 23-34 here
Study-8-Kinematic.pdf (2,212kb) downloaded 2 time(s). Study-8-Kinematic.pdf (2,212kb) downloaded 2 time(s).
The chapter 8 from the book
2^5 Problems for STEM Education

Now I am writing same chapter for the SMath book.
For me will be interesting your remarks.

Edited by user 13 March 2024 07:45:28(UTC)  | Reason: Not specified

Offline OchkovVF  
#13 Posted : 13 March 2024 09:06:27(UTC)
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(but I'll leave you to do any animation!).

See the animation here
tchebyshev plantigrade


Offline uni  
#14 Posted : 13 March 2024 19:21:14(UTC)
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Я суслика не вижу, можно поконкретнее описать и показать что не так с компонентом X-Y Plot?
Russia ☭ forever
Viacheslav N. Mezentsev
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on 13/03/2024(UTC)
Offline OchkovVF  
#15 Posted : 13 March 2024 19:34:28(UTC)
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Originally Posted by: uni Go to Quoted Post
Я суслика не вижу, можно поконкретнее описать и показать что не так с компонентом X-Y Plot?


Спасибо, Вячеслав, что откликнулся.
Суслик вот в чем.

На этом графике в его аргументе записана система с перечислением кривых.
Chebyshevs-Foot-Stepping-Machine-Trace.sm (178kb) downloaded 1 time(s).
Все ОК.
Затем для компактности документа я захотел использовать переменную Plot.
Формат графика сбился.
См. картинку наверху и
Chebyshevs-Foot-Stepping-Machine-Trace-Plot.sm (179kb) downloaded 0 time(s).
Offline uni  
#16 Posted : 13 March 2024 19:57:59(UTC)
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Я попробовал и мне трудно было повторить условия возникновения такого поведения.

Настройки не должны слетать, если количество графиков между пересчётами документа не меняется. Если возникла ошибка во время построения одного из графиков, то настройки сохраняются. Если вы изменили количество отображаемых графиков (а оно определяется только во время пересчёта), то остальные графики "забываются".

Рекомендация: отключить автоматический пересчёт на время подобных манипуляций.

Я подумаю о добавлении опции - сохранять настройки между пересчётами не только для исключительных ситуаций. Возможно была причина, по которой я оставил такое поведение.
Russia ☭ forever
Viacheslav N. Mezentsev
thanks 1 user thanked uni for this useful post.
on 13/03/2024(UTC)
Offline OchkovVF  
#17 Posted : 13 March 2024 20:26:57(UTC)
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Originally Posted by: uni Go to Quoted Post
Я попробовал и мне трудно было повторить условия возникновения такого поведения.

Настройки не должны слетать, если количество графиков между пересчётами документа не меняется. Если возникла ошибка во время построения одного из графиков, то настройки сохраняются. Если вы изменили количество отображаемых графиков (а оно определяется только во время пересчёта), то остальные графики "забываются".

Рекомендация: отключить автоматический пересчёт на время подобных манипуляций.

Я подумаю о добавлении опции - сохранять настройки между пересчётами не только для исключительных ситуаций. Возможно была причина, по которой я оставил такое поведение.

Спасибо!
Заодно подумайте и о:
1. После ввода выражения кривой видно весь график. А то приходится долго крутить мышкой.
2. Возможность фиксирования разброса графика так, чтобы его мышкой нельзя было менять.
Offline grelkin2  
#18 Posted : 15 March 2024 18:23:36(UTC)
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Я написал статью о лямбда-механизе Чебышёва. Smath почему-то анимацию не воспроизводит. Могу ответить на вопросы по вычислениям и системе. Решение получено при помощи метода Драгилева.
http://razdvizh.site/chebl
Offline OchkovVF  
#19 Posted : 15 March 2024 20:14:16(UTC)
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Originally Posted by: grelkin2 Go to Quoted Post
Я написал статью о лямбда-механизе Чебышёва. Smath почему-то анимацию не воспроизводит. Могу ответить на вопросы по вычислениям и системе. Решение получено при помощи метода Драгилева.
http://razdvizh.site/chebl

Спасибо за ценную информацию, но ссылка не работает
Offline OchkovVF  
#20 Posted : 17 March 2024 00:18:38(UTC)
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I have change the roots function on the Newton function.
Now we can change variables r, L,01, L.02 etc and no problem!
16-4-Chebyshevs-Foot-Stepping-Machine-Trace-Newton.sm (931kb) downloaded 4 time(s).

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