One more catenary

[ValeryOchkov]

Do you know an analytical solution of this problem - a closed chain on the horisontal cylinder?

Mathcad Prime 5 two sheets (Find & Minimize) in attach.

[ValeryOchkov]

One more try with Mathcad 15

[ValeryOchkov]

Close сhain with pendant on the cylinder

[ValeryOchkov]

Order for the analytical solution of the closed chain problem on a cylinder

[ValeryOchkov]

OR! No symbolic solution with catenary 🤔

May be there is one symbolic solution for this problem - a parabola, not a catenary!

 

[ValeryOchkov]

The graphical solution of the problem.

The function (the symbolic solution) needed!  

[ValeryOchkov]

One pseudo analytical solution

See What is the better function for this curve? 

[ValeryOchkov · Accepted solution]

Solution

[ValeryOchkov]

I published an article about a chain on a cylinder in the article collection of the Institute of Mechanics of Moscow University. This institute employs people who calculated the flights of the first spacecraft - Sputnik, Jury Gagarin etc!

See please attach!

[ValeryOchkov]

Russian version of te article

STEM-Technology Example of the Computational Problem of a Chain on a Cylinder

[Werner_E]

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@ValeryOchkov wrote:

Russian version of te article

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You mean English version. Thanks!

[ValeryOchkov]

Yes! English!

Thanks to all for the help!