PSN-L Email List Message

Subject: nonlinearities
From: Randall Peters PETERS_RD@..........
Date: Sat, 13 Aug 2011 15:39:29 -0400


Also to All:
      Nonlinearity (better called  mechanical complexity) is what ultimatel=
y limits, at low frequencies, the performance of every seismograph; but it =
is not the kind of nonlinearity that feedback overcomes in remarkable fashi=
on, as is commonly well known.  The kind that is not accommodated  is relat=
ed to the very reason materials creep-because of defect structures.  At the=
 mesoscopic level, these defect structures cause the potential energy well =
to be other than smooth.  In other words, the force required to accomplish =
feedback (standard electrical engineering) is not able, at very low levels,=
 to operate on an error signal that is consistent with simple-minded theore=
tical expectations.   As one of my astute students years ago said, "physics=
 is easy if you don't dig too deep".
       If the force feedback approach were as perfect as some want to belie=
ve, then there would have been no reason to hold the IRIS sponsored "broadb=
and conference" several years ago, which I attended.   A poster session tha=
t I presented at that conference is online at http://www.iris.edu/stations/=
seisWorkshop04/PDF/tahoeI1.pdf
     Anyone with practical experience in materials science (well versed in =
the foundations of the discipline) will recognize that internal friction of=
 the spring in a seismometer has got to have consequences.  One of the firs=
t occasions for the reality of this fact to be noted was when Gunar Strecke=
isen measured the damping as a function of period of a vertical instrument =
operating with a LaCoste zero-length spring.  What he found as a grad stude=
nt doing this experiment (as I was told by Erhard Wielandt, the world's bes=
t known expert concerning force feedback instruments) - was that the qualit=
y factor was not proportional to the frequency as required by a viscous dam=
ped simple harmonic oscillator theory.  Rather it was measured to be quadra=
tic in the frequency, which is described by the nonlinear damping theory th=
at I developed years ago.  If you want to Google 'nonlinear damping' and al=
so 'linear damping' (without the tick marks of a literal search) you will s=
ee that I have devoted many years of intense research to this subject.  It =
is indeed complex, to the point of bewildering.  But it is high time that s=
ome capable people begin to look at whether my claims have merit or not.  S=
ome reputable individuals have slowly come around to thinking I'm not quite=
 as crazy as they once thought.
      If you Google "optical seismograph ucsd", you will find a paper conce=
rned with a latest generation (bonafide) instrument that is not of force fe=
edback type.  The author list includes Prof. Wielandt.  Much of the work pr=
esented in that paper was performed by PhD student Otero.  I encourage folk=
s to take a look at this article, since it describes an instrument that cou=
ld once and for all settle the debate that has come now to Larry Cochrane's=
 list-serve.
    By the way, five years ago Dr. Wielandt wrote a paper that you might al=
so want to look at; it is online at
http://www.docstoc.com/docs/48159410/Hysteresis-Creep-Internal-Friction-and=
-Damping-of-mechanical--dislocation
and is titled "Are hysteresis, creep, and damping of mechanical oscillators=
 consequences of the same mechanism of internal friction"
    If you have trouble with the link I pasted here, just Google 'damping c=
reep Wielandt'.  He quotes me in this article, and it has been in place for=
 the last five years.  His thinking at the time was not 'settled', but my g=
uess is that this 'preliminary' manuscript would have by now vanished from =
the web if he had changed his mind about it.
    Randall

Also to All:

      Nonlinearity= (better called  mechanical complexity) is what ultimately limits, at = low frequencies, the performance of every seismograph; but it is not the ki= nd of nonlinearity that feedback overcomes in remarkable fashion, as is com= monly well known.  The kind that is not accommodated  is related = to the very reason materials creep—because of defect structures. = ; At the mesoscopic level, these defect structures cause the potential ener= gy well to be other than smooth.  In other words, the force required t= o accomplish feedback (standard electrical engineering) is not able, at ver= y low levels, to operate on an error signal that is consistent with simple-= minded theoretical expectations.   As one of my astute students y= ears ago said, “physics is easy if you don’t dig too deep”= ;.   

    =    If the force feedback approach were as perfect as some wa= nt to believe, then there would have been no reason to hold the IRIS sponso= red “broadband conference” several years ago, which I attended.=    A poster session that I presented at that conference is online= at http://www.iris.edu/stations/seisWorkshop04/PDF/tahoeI1.pdf=

     Anyone with practical exp= erience in materials science (well versed in the foundations of the discipl= ine) will recognize that internal friction of the spring in a seismometer h= as got to have consequences.  One of the first occasions for the reali= ty of this fact to be noted was when Gunar Streckeisen measured the damping= as a function of period of a vertical instrument operating with a LaCoste = zero-length spring.  What he found as a grad student doing this experi= ment (as I was told by Erhard Wielandt, the world’s best known expert= concerning force feedback instruments) – was that the quality factor= was not proportional to the frequency as required by a viscous damped simp= le harmonic oscillator theory.  Rather it was measured to be quadratic= in the frequency, which is described by the nonlinear damping theory that = I developed years ago.  If you want to Google ‘nonlinear damping= ’ and also ‘linear damping’ (without the tick marks of a = literal search) you will see that I have devoted many years of intense rese= arch to this subject.  It is indeed complex, to the point of bewilderi= ng.  But it is high time that some capable people begin to look at whe= ther my claims have merit or not.  Some reputable individuals have slo= wly come around to thinking I’m not quite as crazy as they once thoug= ht. 

     = ; If you Google “optical seismograph ucsd”, you will find = a paper concerned with a latest generation (bonafide) instrument that is no= t of force feedback type.  The author list includes Prof. Wielandt.&nb= sp; Much of the work presented in that paper was performed by PhD student O= tero.  I encourage folks to take a look at this article, since it desc= ribes an instrument that could once and for all settle the debate that has = come now to Larry Cochrane’s list-serve.   

<= p class=3DMsoNormal>    By the way, five years ago Dr. = Wielandt wrote a paper that you might also want to look at; it is online at=

http://www.docstoc.com/docs/48159410/Hysteresis-Creep-Internal-Fri= ction-and-Damping-of-mechanical--dislocation

and is titled “Are hysteresis, creep, and damping of mechani= cal oscillators consequences of the same mechanism of internal frictionR= 21;

    If you have troub= le with the link I pasted here, just Google ‘damping creep Wielandt&#= 8217;.  He quotes me in this article, and it has been in place for the= last five years.  His thinking at the time was not ‘settledR= 17;, but my guess is that this ‘preliminary’ manuscript would h= ave by now vanished from the web if he had changed his mind about it.<= /o:p>

    Randall

 

=

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