Subject: Re: Book needed: Ranke 1931 From: Jont Allen <jontalle@xxxxxxxx> Date: Tue, 19 Aug 2014 20:53:00 -0500 List-Archive:<http://lists.mcgill.ca/scripts/wa.exe?LIST=AUDITORY>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@xxxxxxxx> 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@xxxxxxxx> 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? >>> >>> @xxxxxxxx{ranke1931, >>> title={Die Gleichrichter-Resonanztheorie (The Rectifier Resonance >>> Theory)}, >>> author={Ranke, Otto Friedrich}, >>> year={1931}, >>> publisher={Lehmann} >>> } >>> > >