JumbleDuck
Well-known member
I think you are quoting Hooke's Law but you are ignoring the concept that as the snubber stretches it (and the chain) are absorbing the kinetic energy of the moving yacht and the force imposed on the short snubber and that on the long one are not constant nor the same (they start the same). But the short snubber is used with less chain and to deploy more snubber you, in the way we use it, must deploy more chain. This is because the longer snubber, (with chain) results in the need to extend more chain and you need to introduce the additional benefit of the longer chain catenary. Frankly the maths is far beyond me (but JD possibly has the answers at his finger tips) but in practice the longer snubber of 2 x length, with commensurate increase in chain deployed (extra snubber length + stretch), stretches much less than the shorter one 1 x length).
You called, sir? Happy to oblige ...
To stretch a spring of length L, area A and Young's Modules E by an amount l needs a force of F = EA (l/L). The energy stored Q = 1/2 F l = 1/2 EA l2/L.
If the energy stays the same and the length (but no A or E) is changed then it follows that l2/L is constant and the extension l is proportional to the square root of L. In other words, doubling the rope length will increase the stretch by about 40%; to double the stretch needs a rope four times as long.
But ...
As you say, snubbers do not work in isolation, so it's never going to be that simple. For a start, whatever is accelerating the boat (wind and/or waves) will have 40% further to do it with the double-length snubber, so the energy won't be the same. There may also, I imagine, be a slingshot effect which results in the boat moving further forward during lulls if the snubber is long - that too will result in more energy to be soaked up. I think we can discount the effect of chain lifting off the sea bed, because Vyv Cox has shown pretty conclusively that all the chain is off the sea bed in any sort of a blow. However, there may well be additional dynamic effects in the chain.
So on the whole I don't think theory has a huge amount to contribute, and it's probably best just to use something that works for your situation. As I have written before, I don't use a snubber because I have never felt any need to. I think that's because a relatively boat with a very curved stem has plenty of energy absorption built in - as the anchor chain goes tight she just pitches down a little in any conditions I have yet experienced. I don't remember the interest - and occasional angst - about snubbers 30 years ago, so I suspect they have become much more of a necessity with vertical stems and flattish bow sections.