PSN-L Email List Message
Subject: Re: Possible Spring To Use
From: Geoffrey gmvoeth@...........
Date: Mon, 2 May 2011 14:18:19 +0000
Thank you so much,
When I saw that very heavy extension spring
on that geotech machine I thought
springs could be any thickness at all.
That geotech machine has a monster
spring which seems to be prestressed
to like 90% of the force needed to hold the 90
0r more pound mass it has.
I wanted to dismantle the old machine and
repaint it or something, but the whole machine is so
big you need an engine hoist to take it apart
and put it back together again.
I will try and save this email for future reference.
Best Regards,
geoff
-----Original Message-----
From: Brett Nordgren
Sent: Sunday, May 01, 2011 4:52 PM
To: psnlist@..............
Subject: Re: Possible Spring To Use
Geoff,
At 10:35 AM 5/1/2011, you wrote:
>Why must that be ?
>
>Notebook paper is only 0.003"
>Why must a spring be so thin ?
When you bend a leaf spring into the sort of curve that you want for
typical seismo designs, if the spring is too thick it will be
stressed beyond its yield strength and it will get bent into a
permanent curve--not good.
The relationship is: Radius = E x Thickness / (2 x Stress)
or Thickness = 2 x Stress x Radius / E
Where E is the Elastic Modulus - Assume 32E6 psi for steel
Yield Stress is well over 200,000 psi for good spring steel, so a
safe design stress level might be 150,000 psi
For a minimum bend radius of 1 inch, which is about what we see in a
9" long instrument, you have: Thickness = 2 x 150,000 x 1 / 32E6 =
0.0094" maximum. Thicker than that and the stress will exceed
150,000 psi. Smaller designs will require thinner springs.
>Also,
>
>This Zero Length spring stuff ?
>
>Do I understand right when I think
>a zero length spring does not change force as the spring length changes ?
No, it acts pretty much like any other coil spring, only that it is
pre-stressed so that the force needed to make it begin to stretch is
exactly the right value. Then, *if and only if*, that spring is used
with the LaCoste pendulum geometry, you get an 'infinite' period.
Similar results may be obtained with astatic leaf spring designs,
however 'zero length' only applies to LaCoste coil springs.
Although having an infinite period pendulum sounds attractive, it has
the great problem that tiny temperature changes will make the boom
drift off to the stop. You will want to give the boom at least a
small tendency to center itself, which means that it will have a
non-infinite period.
Feedback designs pretty much eliminate that issue.
Regards,
Brett
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