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Split Areas(Polygons convex and concave) by lines - Momentum curvature by fibers method Options  Email this topic  Watch this topic  Print this topic » Normal Threaded

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Jesus_Solano		#1 Posted : 29 July 2022 19:13:09(UTC)
Rank: Newbie Groups: Registered Joined: 15/06/2020(UTC) Posts: 6 Location: Lima		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 (551kb) downloaded 25 time(s). Edited by user 29 July 2022 19:31:21(UTC)  | Reason: Not specified
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Jean Giraud		#2 Posted : 29 July 2022 22:45:52(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		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.
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Jesus_Solano		#3 Posted : 30 July 2022 00:10:04(UTC)
Rank: Newbie Groups: Registered Joined: 15/06/2020(UTC) Posts: 6 Location: Lima		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 (37kb) downloaded 8 time(s). Best regards. Jesus. Edited by user 30 July 2022 06:30:45(UTC)  | Reason: Adding and plotting polygon convex and concave
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Jesus_Solano		#4 Posted : 30 July 2022 21:49:15(UTC)
Rank: Newbie Groups: Registered Joined: 15/06/2020(UTC) Posts: 6 Location: Lima		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 (117kb) downloaded 10 time(s). Best regards. Jesus. Edited by user 31 July 2022 02:48:47(UTC)  | Reason: correction
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mkraska		#5 Posted : 31 July 2022 13:45:01(UTC)
Rank: Advanced Member Groups: Registered Joined: 15/04/2012(UTC) Posts: 1,988 Was thanked: 1126 time(s) in 723 post(s)		Originally Posted by: Jesus_Solano 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 (551kb) downloaded 25 time(s). This might be an application for the GPC wrapper plugin by Davide. gpc1.sm (13kb) downloaded 15 time(s).
		Martin Kraska Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
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Jesus_Solano		#6 Posted : 31 July 2022 18:37:52(UTC)
Rank: Newbie Groups: Registered Joined: 15/06/2020(UTC) Posts: 6 Location: Lima		Thank you so much, mkraska and Jean, I'll take a look this package (GPC wrapper). Best regards Jesús.
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Jesus_Solano		#7 Posted : 31 July 2022 22:06:27(UTC)
Rank: Newbie Groups: Registered Joined: 15/06/2020(UTC) Posts: 6 Location: Lima		Ok Jean, I hope You'll find an algorithm to solve that problem. Best regards Jesus
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loha		#8 Posted : 01 August 2022 20:09:35(UTC)
Rank: Advanced Member Groups: Registered Joined: 13/09/2011(UTC) Posts: 63 Location: Kolkata Was thanked: 9 time(s) in 9 post(s)		very exciting project!
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Jesus_Solano		#9 Posted : 01 August 2022 20:23:17(UTC)
Rank: Newbie Groups: Registered Joined: 15/06/2020(UTC) Posts: 6 Location: Lima		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 (35kb) downloaded 15 time(s). polygon_regular_fiber_borrador1.sm (36kb) downloaded 14 time(s). Best regards Jesus Edited by user 01 August 2022 21:46:11(UTC)  | Reason: Not specified
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Jean Giraud		#10 Posted : 01 August 2022 21:19:08(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: loha very exciting project! ... algo style to collapse in utilities.
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mkraska		#11 Posted : 02 August 2022 01:06:15(UTC)
Rank: Advanced Member Groups: Registered Joined: 15/04/2012(UTC) Posts: 1,988 Was thanked: 1126 time(s) in 723 post(s)		General hatching procedure for arbitrary contours gpc2.sm (43kb) downloaded 19 time(s).
		Martin Kraska Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
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Razonar		#12 Posted : 02 August 2022 06:05:56(UTC)
Rank: Advanced Member Groups: Registered Joined: 28/08/2014(UTC) Posts: 1,356 Was thanked: 815 time(s) in 516 post(s)		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 (98kb) downloaded 16 time(s). InPoly.sm (44kb) downloaded 27 time(s). Best regards. Alvaro.
1 user thanked Razonar for this useful post.		on 02/08/2022(UTC)
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loha		#13 Posted : 02 August 2022 08:44:17(UTC)
Rank: Advanced Member Groups: Registered Joined: 13/09/2011(UTC) Posts: 63 Location: Kolkata Was thanked: 9 time(s) in 9 post(s)		Wow! Will we be able to calculate the static moment and the moment of inertia of any section with these tools?
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mkraska		#14 Posted : 02 August 2022 12:41:33(UTC)
Rank: Advanced Member Groups: Registered Joined: 15/04/2012(UTC) Posts: 1,988 Was thanked: 1126 time(s) in 723 post(s)		gpc3.sm (136kb) downloaded 43 time(s).
		Martin Kraska Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
1 user thanked mkraska for this useful post.		on 02/08/2022(UTC)
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loha		#15 Posted : 02 August 2022 15:21:54(UTC)
Rank: Advanced Member Groups: Registered Joined: 13/09/2011(UTC) Posts: 63 Location: Kolkata Was thanked: 9 time(s) in 9 post(s)		That's superb! Thanks a lot! Has anyone worked on polyhedra, convex hulls and polar polyhedra?
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Jean Giraud		#16 Posted : 02 August 2022 17:16:59(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		... refreshed for convenience. Maths Polygon Create.sm (100kb) downloaded 16 time(s).
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Jean Giraud		#17 Posted : 02 August 2022 18:35:53(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: loha 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
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loha		#18 Posted : 02 August 2022 19:41:40(UTC)
Rank: Advanced Member Groups: Registered Joined: 13/09/2011(UTC) Posts: 63 Location: Kolkata Was thanked: 9 time(s) in 9 post(s)		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.
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Jean Giraud		#19 Posted : 03 August 2022 02:47:43(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: loha 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 (17kb) downloaded 11 time(s). 0Anim Buckyball.sm (108kb) downloaded 9 time(s). Buckyball.sm (177kb) downloaded 13 time(s).
1 user thanked Jean Giraud for this useful post.		on 03/08/2022(UTC)
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cleisonmanrique		#20 Posted : 24 May 2023 23:25:09(UTC)
Rank: Newbie Groups: Registered Joined: 05/01/2023(UTC) Posts: 2 Location: Arequipa		Originally Posted by: mkraska gpc3.sm (136kb) downloaded 43 time(s). 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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