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Alexey Ivanov

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5 years, 55 days

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Additional curling of a Möbius strip (rolling without slipping).
Mobius_strip_rolling_Additional_curling.mw

@tomleslie I also read and can not understand why?

Now in the Application Center. ( More detailed description of some examples.)
http://www.maplesoft.com/applications/view.aspx?SID=154228  

Interestingly, and what specific opportunities has MapleSim versus Maple?
For example, in solving this problem:
http://www.mapleprimes.com/posts/204684-Linkage--Mechanisms-#comment201753

On the projected curve are only two points, h=0.01
The distance from the point to the surface is the shortest 
curve_between_the_surfaces_H.mw

For this curve all right because of the distance. This segment connects the points of the projection. The projection is interrupted by analogy with equidistant.
 

NLPSolve () does not work perfectly (does not always work), but it can be used for real problems.
The projection of the curve on the surface of formally constructed correctly.
curve_between_the_surfaces_H.mw

Projection of curve from one surface (green) to another. Projection made by the normal to the second surface.
curve_between_the_surfaces_1.mw


 

 

@Bendesarts The first link to the text, where the second part has an authentic description of the method.

https://vk.com/doc242471809_437831729
http://old.exponenta.ru/educat/systemat/selitskiy-ivanov/index.asp 
http://www.mapleprimes.com/posts/204684-Lever-Mechanisms-

I thought it was all known here. The first two links to Russian. The third link is what was promised to you here in the topic:

http://www.mapleprimes.com/posts/202821-Calculating-Linkage-Mechanisms#comment201716

 

@Bendesarts  The theory is very simple. This Cauchy problem for ODE and Cramer's rule for solving systems of linear equations. (The homogeneous linear equations with free variables.)
Everything else belongs to the application areas where the possible to use  the method.
I hope I understand your question?

@fereydoon_shekofte  It is not I, but Draghilev method.

@tontu  There are three equations x = f1 (t1, t2, t3), y = f2 (t1, t2, t3), z = f3 (t1, t2, t3), and six variables x, y, z, t1, t2, t3, that is, we have  space R^6. Choose any convenient to you the projections of  R^6 on R^3 and look at their graphs.

        If in the text to write "#" in front of the approximate solution x0] 1], x0 [2], and remove the "#" from any version of Optimization package then no one variant will not work.
OPT_DIF.mw 

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