On Sun, 20 Oct 2013 08:23:55 -0700 (PDT), Frank Krygowski
<
frkr...@gmail.com> wrote:
>On Sunday, October 20, 2013 2:29:04 AM UTC-4, John B. wrote:
>> On Sat, 19 Oct 2013 09:30:06 -0700 (PDT), Frank Krygowski wrote:
>>
>>
>> >I'm a little skeptical of the idea that a lower center of gravity (or bottom bracket) confers more stability. Again, I'm not a connoisseur of bike handling, but regarding C.G. height, I've ridden the extremes: recumbents with very low C.G., and "Ordinaries" or antique "Penny-Farthings" with extremely high C.G.
>>
>> I've got an article written by Chris Kvale regarding rake, trail, etc.
>> in which he rates the characteristics of some six bikes and then
>> measures them. Two, a Cinelli and a Masi road bikes were rated as
>> stable although they had 48 and 46 mm trail while the other four bikes
>> all had over 60 mm trail. He reckons that the BB drop of 70 and 73 mm
>> on the Italian frames as compared to BB drop in the 60's for the other
>> frames was the reason.
>>
>> In fact the Italian bikes had steep head angles, a lot of rake and low
>> trail which should have made them very flighty, but they weren't and
>> the only major difference was the BB drop.
>
>I'd be interested in all the details. I think that regarding bike handling (as with many other technical things in bicycling) there's LOTS of "myth and lore" as Jobst would say.
>
>Jan Heine, who publishes _Bicycle Quarterly_ magazine, is a big fan of bikes with low trail. He claims that the longer trail on modern road frames (compared to frames of the 1950s) is a mistake. Admittedly, this seems to be based primarily on his and his assistants' judgment of handling during (extended) road tests; and judgment isn't as reliable as measured data. But Heine's idea certainly seems consistent with the article you described.
A friend in Singapore has built some frames according to the "low
trail" theories and likes them but how much of his "liking them" is
due to having first read the theory and how much is due to actual
better performance is perhaps doubtful :-)
>Also: One of the first books on bicycling I purchased was _DeLong's Guide to Bicycles and Bicycling_, c 1974. Page 78 of this edition has a computer-calculated graph, in which one can input fork offset and head angle to read a "stability index." Superimposed is a plot from a formula supposedly used by "bicycle engineers" to give "satisfactory steering":
>
>Fork Offset = (wheel radius) * Tan ((90 - head angle)/2)
>
>The formula's plot yields "stability indexes" ranging from 3.8 to 5.2. Perhaps that means that wide variations in stability can be acceptable for various uses.
>
>To corroborate that idea: DeLong also mentions investigating the effect of trail by use of a custom fork with elongated dropout slots that allowed him to set and test trail values.
>
>The next page has a sort of "soft" graph showing "one rider's evaluation of the handling characteristics of his bicycle." (I assume that rider was the author.) In any case, the X axis is trail value, and the Y axis is marked "Poor ... Fair ... Good ... Excellent" so it's entirely judgment. According to this rider's judgment, "Snaking" & "Hands Off" & "High Speed" & "Gravel Road" all have peak "Excellent" values at different values of trail. For "High Speed," his peak is about 35 mm trail, falling off sharply past about 41 mm.
>>
>>
>> >The difference was clear. My first recumbent ride (Avatar 2000) had me swerving all over the pavement to balance, until I relaxed and settled in, so to speak. But during my very first ride on an Ordinary, I was able to pedal at less than walking speed. It was _extremely_ easy to balance.
>>
>> But that is pretty much what happens with any short coupled light
>> weight "racing" bike. You hop on and "Whee, doesn't it turn quick!"
>> but after an afternoon's ride it seems normal.
>
>Right, people can get used to a variety of handling characteristics, at least if they're experienced at riding.
>
>I do recall one friend, though, who surprised his new wife with a gift of a bike sometime in the early 1980s. I don't recall the brand (except that it was well known Japanese one - perhaps Fuji?). It was from the lower end of the line, but as I recall, pretty decent equipment for the time: QR hubs, alloy rims, alloy most everything else but steel frame, etc.
>
>He called me over because she couldn't ride the thing. When I tried it out, the steering seemed amazingly quick, into "twitchy." That surprised me, because it seemed to me that most bikes toward the bottom of the product lines were more stable feeling.
>
>> >It seems very similar to balancing a 12" ruler vs. a 36" yardstick on end. The taller object has much more polar moment of inertia about the balancing point, so it gives you much more time to correct any unwanted lean. The difference would of course be smaller for a centimeter or so difference in BB height, but why would the affect be in the opposite direction?
>>
>> I think you are ignoring C.G.
>
>C.G. and polar moment of inertia about the ground are very closely related for a bike. You can't lower the C.G. without decreasing the polar moment of inertia. And a higher polar moment means more time to regain balance when disturbed.
>
>And I don't see why physics would say a lower C.G. would be more stable on a two-wheeled vehicle. On something with four wheels (or three wheels), sure. But why with two wheels?
>
>- Frank Krygowski
I can't give you a reference to download the article as it is one of
those things that I read and then saved for future reference but the
title is
A FRESH LOOK AT STEERING GEOMETRY
by Chris Kvale with technical and mathematical assistance by John
Corbett
Reprinted in December, 2006 from a copy marked, with Kvale\u2019s
corrections, Original Draft - Copy
Perhaps if you do a search on that you can locate it.
Part of the article reads, "One of the other experiments Corbett
performed
was to build and ride a fork with an adjustable
wheel position (Figures 3 & 4). By fixing the head
angle and changing the fork rake, he was able to
ride one of his bikes with trail from -21mm to
110mm in 20mm increments and evaluate its
steering characteristics. He found that the steering
characteristics fit into the pattern described above,
i.e., with trail in the low forties the bike felt nervous, with a
trail of 55mm it had the sort of hands-
off stability which seems desirable yet still turns
easily, and with a trail of 74mm it was very heavy feeling"
--
Cheers,
John B.