New problem with a catenary – a specific pendulum

Forum|Forum|12 years ago
November 9, 2013
3 replies
5973 views

New problem of the catenary – a specific pendulum.

We loaded our catenary with weight and looked like changing its form – see please here http://communities.ptc.com/videos/4438. If the weight is too heavy, then either Mathcad not be able to solve a system of equations or a catenary... breaks and we have two parts as a… pendulum. I tried to simulate the swing of this pendulum-chain with five units - see please http://communities.ptc.com/videos/4448

The problem we have is not a chain, and a weighty chain is flexible, which we rejected from the vertical to the desired form (with what desired form?). And released. How to simulate the swing of this pendulum-chain? Is there a symbolic solution of this problem. There is solution is for the ordinary pendulum.

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"Knowledge will break the chains of slavery"

1_pend-chain-xmcd.zip

Other

F

Fred_Kohlhepp

23-Emerald I

Your 10 mass pendulum has (if my accounting is right) 55 different degrees of freedom; the motion solution has multiple answers that will depend on the initial displacement arrangements.

V

ValeryOchkov

Author

24-Ruby IV

Thanks, Fred.

The problem is very interesting. I can not find something about it in Internet

One real video:

Author

24-Ruby IV

One fine pendulum lesson in the Amarcord by Federico Fellini!

The teacher has a catenery (chain) on his stomach for new demonstration

F

Fred_Kohlhepp

23-Emerald I

Actually, as demonstrated by the segment of cord between the professor's hands, this is a catenary. The relative mass of the "chain" to the weight is such that it's not visually obvious, but the "pendulum arm" is flexible.