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Re: Book needed: Ranke 1931

Thanks! this is much better, and I even now understand what he is saying ;-)

Jont Allen

On 08/18/2014 04:46 AM, Jan Schnupp wrote:

Dear List,

google translate is always fun, but in case you are puzzling what a
"most used cooking neglect" might be, or what "gross simplifications
in purchasing" has to do with the cochlea, here a proper translation
posted by Dick:

In developing the potential flow, the mass of the diaphragm and its
super-structures have been neglected. But almost all investigators
take the membrane mass as a starting point, or believe its influence
on the vibrations in the cochlea to be substantive enough that it
should not be neglected. So I have to explicitly demonstrate that it
is permissible to neglect the membrane mass for all those cases in
which waves in the cochlea play an important role. Admittedly, very
detailed studies should not overlook the mass of the membrane.
However, in a first instance we are dealing with rough approximations.
As a consequence, and in contrast with previous investigators, the aim
is to demonstrate that, in a first approximation, neglecting the
membrane mass is of less importance than neglecting the mass of the
entrained liquid, as was done by Koch.
Sondhi (JASA 1978?) has carefuly looked at this question, and the BM mass is quite important around the CF. 



In the case of a potential flow in narrow channels, for which the
potential flow has been developed above, the mass of the membrane
cannot be easily introduced, unless one is prepared to accept coarse
simplifications. However, through the study of simple cases which can
be solved rigorously one gains a judgement for the situations in which
the mass of the membrane becomes non-negligible. We will therefore
restrict ourselves to the simplest case, which is easiest to solve
mathematically.


Best,

Jan

On 17 August 2014 00:57, Richard F. Lyon <dicklyon@xxxxxxx> wrote:

Thanks to our auditory-list friends in Montreal, we now have a good scanned
and OCR'd copy of Ranke's 1931 book.  It definitely has a well-developed 2D
model of cochlear waves.

It even addresses the question of how important membrane mass is, a topic
that has come up many times since.  Here's what the OCR does with that
section (after 2 or 3 minor OCR corrections):

Einfluß der Membranmasse.

Bei der Entwicklung der Potentialströmung wurde die Masse der Membran und
ihrer Auflagerungen bisher vernachlässigt. Fast alle Untersucher gehen aber
gerade von der Masse der Membran aus, oder halten wenigstens ihren Einfluß
auf die Schwingungen in der Cochlea für so wesentlich, daß er nicht
vernachlässigt werden darf. So muß ich ausdrücklich nachweisen, daß die
Vernachlässigung der Membranmasse für alle die Fälle erlaubt ist, die bei
den Schwingungen in der Cochlea von Wichtigkeit sind. Freilich ist für eine
genauere Betrachtung auch die Masse der Membran nicht zu übersehen.
Vorläufig handelt es sich jedoch um grobe Annäherungen. Es ist daher
gegenüber den bisherigen Untersuchern nur der Beweis zu erbringen, daß in
erster Annäherung der Vernachlässigung der Membranmasse eine geringere
Bedeutung beizumessen ist als der besonders von Koch benutzten
Vernachlässigung der Masse der mitbewegten Flüssigkeit.

Für den Fall einer Potentialströmung in engen Kanälen, für den die
Potentialströmung oben entwickelt wurde, läßt sich die Masse der Membran
nicht sehr einfach einführen, wenn man nicht grobe Vereinfachungen in Kauf
nehmen will. Doch gewinnt man auch aus der Betrachtung einfacher Fälle, die
sich streng durchführen lassen, ein Urteil, wann die Masse der Membran
nicht mehr vernachlässigt werden darf. Wir wollen uns daher auf den
einfachsten Fall beschränken, der mathematisch am leichtesten durchzuführen
ist.

and Google Translate:

Influence of the membrane mass.

In developing the potential flow, the mass of the diaphragm and its deposits
has been neglected. But almost all investigators go straight from the mass
of the diaphragm from, or at least keep their influence on the vibrations in
the cochlea so essential that it should not be neglected. So I have to
explicitly demonstrate that the neglect of the membrane mass for all the
cases is allowed, which are at the vibrations in the cochlea of importance.
Certainly not to be overlooked for a closer look at the mass of the
membrane. Being there is, however, only rough approximations. It is
therefore to provide over previous investigators only the proof that in a
first approximation, the neglect of the membrane mass of less importance
should be attached as the most used cooking neglect the mass of the
entrained liquid.

In the case of a potential flow in narrow channels, for which the potential
flow has been developed above, the mass of the membrane can be introduced
not very easy when you do not want to take gross simplifications in
purchasing. But you also gain from consideration of simple cases that can be
strictly carry out a judgment, when the mass of the diaphragm can no longer
be neglected. We will therefore restrict ourselves to the simplest case,
which is mathematically perform the easiest.


I can't republish it, but I'm happy to share it for fair-use research
purposes, especially with anyone who will help translate parts of it.  With
the decent OCR by Abbyy, we get a good start with Google Translate, but it
will be a lot of work to make sense of pages full of equations and such.
It's only 85 pages total.

Dick



On Sun, Jun 22, 2014 at 9:49 PM, Richard F. Lyon <dicklyon@xxxxxxx> wrote:

This seems to be where the 2D cochlear wave model first came up,
but I can't locate a copy with 2000 miles, though WorldCat shows a
few around, includes 2 in North America:

http://www.worldcat.org/title/gleichrichter-resonanztheorie-eine-erweiterung-der-helmholtzschen-resonanztheorie-des-gehors-durch-physikalische-untersuchung-der-flussigkeitsschwingungen-in-der-cochlea/oclc/14726186

Anyone at Princeton or McGill or elsewhere up for checking one out for me?

@book{ranke1931,
   title={Die Gleichrichter-Resonanztheorie (The Rectifier Resonance
Theory)},
   author={Ranke, Otto Friedrich},
   year={1931},
   publisher={Lehmann}
}