Split Areas(Polygons convex and concave) by lines - Momentum curvature by fibers method - Сообщения
#1 Опубликовано: 29.07.2022 13:13:09
Hi everyone ,I'm doing a momentum curvature usign Popovic's Method and found a big problem beacuse to divide a polygon(convex and concave) into small fiber like this image but with more lines:
it's not so easy to do an algorithm. I did a smath file when the polygon it's rectangular but for more general case my smath code doesn't work, I'd like know an algorithm, code or function if it's posible in smath or other language to develop.
Best regards.
Jesus.
Verificacion_de_fluencia_en_acero_fiber_method_degradation_forum.pdf
it's not so easy to do an algorithm. I did a smath file when the polygon it's rectangular but for more general case my smath code doesn't work, I'd like know an algorithm, code or function if it's posible in smath or other language to develop.
Best regards.
Jesus.
Verificacion_de_fluencia_en_acero_fiber_method_degradation_forum.pdf
#2 Опубликовано: 29.07.2022 16:45:52
If I understand ...
Your polygon has 9 vertices, we can try a circular spline.
That will add as many points between vertices, is it ?
From there: Area, Perimeter, Center of Gravity.
Give the vertices... Jean.
Your polygon has 9 vertices, we can try a circular spline.
That will add as many points between vertices, is it ?
From there: Area, Perimeter, Center of Gravity.
Give the vertices... Jean.
#3 Опубликовано: 29.07.2022 18:10:04
Hi Jean, exactly I need to known the area, center of gravity and perimeter of the division but the polygon doesn't need to have 9 vertices, this is an example in this case. In general ,I'd like to calculate for n vertices polygon(convex or concave),let me give an example in smath for regular polygon.
polygon_2.sm
Best regards.
Jesus.
polygon_2.sm
Best regards.
Jesus.
#4 Опубликовано: 30.07.2022 15:49:15
Hi Jean, it was a good solution and you give some ideas to do a code but I'd like to do for more lines and I'd like to optimize the code or algorithm. I did a code in smath maybe need to optimize some parts and get some interesting results, i hope you take a look because a I'd like to aply to convex and no convex polygon, I think it's so hard but I'd like to know the algorithm or code that other programs use. My code doesn't work for some slopes though
Page5 Polygon Copy.sm
Best regards.
Jesus.
Page5 Polygon Copy.sm
Best regards.
Jesus.
#5 Опубликовано: 31.07.2022 07:45:01
Hi everyone ,I'm doing a momentum curvature usign Popovic's Method and found a big problem beacuse to divide a polygon(convex and concave) into small fiber like this image but with more lines:
it's not so easy to do an algorithm. I did a smath file when the polygon it's rectangular but for more general case my smath code doesn't work, I'd like know an algorithm, code or function if it's posible in smath or other language to develop.
Best regards.
Jesus.
Verificacion_de_fluencia_en_acero_fiber_method_degradation_forum.pdf
This might be an application for the GPC wrapper plugin by Davide.
gpc1.sm
Martin Kraska
Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
#6 Опубликовано: 31.07.2022 12:37:52
Thank you so much, mkraska and Jean, I'll take a look this package (GPC wrapper).
Best regards
Jesús.
Best regards
Jesús.
#7 Опубликовано: 31.07.2022 16:06:27
Ok Jean, I hope You'll find an algorithm to solve that problem.
Best regards
Jesus
Best regards
Jesus
#8 Опубликовано: 01.08.2022 14:09:35
very exciting project!
#9 Опубликовано: 01.08.2022 14:23:17
Hi Jean it's an excellent solution, thank you so much 
, I did a code with GPC plugin and I could get this results.
polygon_irregular_fiber_borrador1.sm
polygon_regular_fiber_borrador1.sm
Best regards
Jesus
, I did a code with GPC plugin and I could get this results.polygon_irregular_fiber_borrador1.sm
polygon_regular_fiber_borrador1.sm
Best regards
Jesus
#10 Опубликовано: 01.08.2022 15:19:08
very exciting project!
... algo style to collapse in utilities.
#11 Опубликовано: 01.08.2022 19:06:15
Martin Kraska
Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
#12 Опубликовано: 02.08.2022 00:05:56
Hi. In the attached, a function for see if a point is inside or outside a polygon, and a code for double integrals using Gauss-Legendre coefficients.
InPoly.pdf
InPoly.sm
Best regards.
Alvaro.
InPoly.pdf
InPoly.sm
Best regards.
Alvaro.
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sergio 02.08.2022 11:10:00
#13 Опубликовано: 02.08.2022 02:44:17
Wow!
Will we be able to calculate the static moment and the moment of inertia of any section with these tools?
Will we be able to calculate the static moment and the moment of inertia of any section with these tools?
#14 Опубликовано: 02.08.2022 06:41:33
![2022-08-02 11_11_43-SMath Solver 1.0.8238 - [gpc3.sm_].png](/ru-RU/files/Download/AzaWXh/2022-08-02-11_11_43-SMath-Solver-1.0.8238---[gpc3.sm_].png)
Martin Kraska
Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
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sergio 02.08.2022 11:10:00
#15 Опубликовано: 02.08.2022 09:21:54
That's superb!
Thanks a lot!
Has anyone worked on polyhedra, convex hulls and polar polyhedra?
Thanks a lot!
Has anyone worked on polyhedra, convex hulls and polar polyhedra?
#16 Опубликовано: 02.08.2022 11:16:59
#17 Опубликовано: 02.08.2022 12:35:53
Has anyone worked on polyhedra, convex hulls and polar polyhedra?
I may have something on convex hull
Polyhedra, we have C_60 extracted from the adjacency matrix.
Jean
#18 Опубликовано: 02.08.2022 13:41:40
anything on the adjacency matrix I am super interested!
Handling the adjacency matrix is the only difficulty in fact. Polarity of points-planes is easy.
Handling the adjacency matrix is the only difficulty in fact. Polarity of points-planes is easy.
#19 Опубликовано: 02.08.2022 20:47:43
anything on the adjacency matrix I am super interested!
Handling the adjacency matrix is the only difficulty in fact. Polarity of points-planes is easy.
1. In the attached Buckyball, adjacency matrix is from Mathsoft,
Mathsoft borrowed fro Matlab.
2. I have the Mathcad convex hull ORIGIN 0
RemToDo ORIGIN 1 for Smath coding.
Cheers ... Jean.
Buckyball Adjacency.sm
0Anim Buckyball.sm
Buckyball.sm
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Laurent Fournier 02.08.2022 23:36:00
#20 Опубликовано: 24.05.2023 17:25:09
I guess we can not use the same matrix of contour point to get the area and de center of mass ... Or am I wrong ?
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