PSN-L Email List Message

Subject: Re: Springs for Verticals
From: "tchannel" tchannel@..............
Date: Mon, 4 Jun 2007 18:34:27 -0600


 Ben and Chris,   This is great information,  Thanks, for your response.
  ----- Original Message -----=20
  From: ChrisAtUpw@..........
  To: psn-l@.................
  Sent: Monday, June 04, 2007 6:25 PM
  Subject: Re: Springs for Verticals


  In a message dated 2007/06/04, tchannel@.............. writes:


    Hi Everyone, I wanted to ask some questions about choosing a spring =
for a vertical spring sensor.

       Pictures three situations, three different springs being pulled =
straight down by a mass. No triangular modifications, just straight =
down.

    1 One is a strong spring like a screen door spring, pulled down by a =
large mass.

    2 One is a weak spring being pulled down by very little mass.

    3 One is a rubber band being pulled down by a small mass.

    Just for comparisons, say they all had the same period of 1.5 =
seconds.  Is one of the three better for recording earthquakes?  Two =
questions here: Is there an advantage in using a weak spring, or strong =
spring, if the resulting period is the same. =20


      You will only get this sort of period with quite large extensions. =
You need a certain mass for the motion not to be swamped by thermal or =
environmental agitation.=20

      It is the product M x T x Q, which is important for noise =
considerations, not just the mass.=20

      For a simple spring, the extension E =3D g x T^2 / (2 x Pi)^2, =
where T is the period. Thus to get a period of say 10 sec, you need an =
extension of ~25 metres....

  And Secondly is a rubber band spring every used?

         No. Rubber is highly temperature sensitive and it also has a =
lot of loss (hysteresis) associated with the extension.


    What prompted the question is seeing how small the spring in a =
geophones is. Is the idea to have the smallest spring which would move =
under the smaller stimulus.


         The coil springs used for seismometers have very specific =
characteristics. They are designed to have a zero or negative length =
when extended. The wire is twisted as it is wound and this makes the =
coils clamp tightly together. If you plot the length versus the load, =
the length stays constant up to a certain load and you then get an =
extension proportional to the load. A plot of the load / length graph =
can be extended back to zero load and the 'zero load extension' can be =
negative. You need a net zero length to get an 'infinite period' on a =
vertical seismometer.

         The changes in metal properties with temperature give a =
practical limit of about 5 seconds for ordinary steel springs and you =
may only have ~a 5 C Deg temperature range before re-balancing becomes =
necessary. The 'easy' way around this is to extend the period =
electronically, but the noise performance then becomes critical. A =
maximum period extension of about x10 max is practicable. It is not very =
difficult to extend a 2.5 second period sensor to 25 seconds. The use of =
Sm-Co or NdFeB magnets has enabled the output to be considerably =
increased over Alnico magnet systems, reducing problems with noise.

         Regards,

         Chris Chapman







 Ben and Chris,   This = is great=20 information,  Thanks, for your response.
----- Original Message -----
From:=20 ChrisAtUpw@.......
To: psn-l@..............
Sent: Monday, June 04, 2007 = 6:25 PM
Subject: Re: Springs for = Verticals

In a=20 message dated 2007/06/04, tchannel@..............=20 writes:

Hi Everyone, I wanted to ask some questions about = choosing a=20 spring for a vertical spring sensor.


   = Pictures three=20 situations, three different springs being pulled straight down by a = mass. No=20 triangular modifications, just straight down.

1 One is a = strong spring like=20 a screen door spring, pulled down by a large mass.

2 One is a weak = spring being=20 pulled down by very little mass.

3 One is a = rubber band being=20 pulled down by a small mass.

Just for = comparisons, say they=20 all had the same period of 1.5 seconds.  Is one of the three = better for=20 recording earthquakes?  Two questions here: Is there an = advantage in=20 using a weak spring, or strong spring, if the resulting period is = the=20 same. 

    You will only = get this=20 sort of period with quite large extensions. You need a certain mass = for the=20 motion not to be swamped by thermal or environmental agitation.=20

    It is the product M x T x Q, which is = important for=20 noise considerations, not just the mass.

    = For a=20 simple spring, the extension E =3D g x T^2 / (2 x Pi)^2, where T is = the period.=20 Thus to get a period of say 10 sec, you need an extension of ~25=20 metres....

And=20 Secondly is a rubber band spring every=20 used?

       No. Rubber is highly = temperature sensitive and it also has a lot of loss (hysteresis) = associated=20 with the extension.

What prompted the question is seeing how small the = spring in a=20 geophones is. Is the idea to have the smallest spring which would = move under=20 the smaller stimulus.

       The=20 coil springs used for seismometers have very specific characteristics. = They=20 are designed to have a zero or negative length when extended. The wire = is=20 twisted as it is wound and this makes the coils clamp tightly = together. If you=20 plot the length versus the load, the length stays constant up to a = certain=20 load and you then get an extension proportional to the load. A plot of = the=20 load / length graph can be extended back to zero load and the 'zero = load=20 extension' can be negative. You need a net zero length to get an = 'infinite=20 period' on a vertical = seismometer.

      =20 The changes in metal properties with temperature give a practical = limit of=20 about 5 seconds for ordinary steel springs and you may only have ~a 5 = C Deg=20 temperature range before re-balancing becomes necessary. The 'easy' = way around=20 this is to extend the period electronically, but the noise performance = then=20 becomes critical. A maximum period extension of about x10 max is = practicable.=20 It is not very difficult to extend a 2.5 second period sensor to 25 = seconds.=20 The use of Sm-Co or NdFeB magnets has enabled the output to be = considerably=20 increased over Alnico magnet systems, reducing problems with=20 noise.

      =20 Regards,

       Chris=20 Chapman
      =20

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