Hi Phil Nice posts. I appreciate the way you take due caution to relating maths modling to real life situations instead of simply spinning off a few figures and declaring universal truths. The point you bring up below is one (amoung several) that hasnt really been looked at. It is simply assumed that the strings force upwards for even a hard blow is not enough to contribute to the string moving upwards on the pin. I dont know myself how much of a yank there is there... but it has to be pretty signifiacant to get the mass that the soundboard is along with the string plane to vibrate in a large enough amplitude to create the volume of sound we hear. I did do a cute little experiement a while back... put a penny on the string just at the bridge pin and whack the key. Dont get in the way of the penny... :) Another moment that bothers me which I see no one looking at is the fact that the string is forced into an unatural curve across the bridge surface to begin with. A string pushed up by a flat surface the width of a bridge will not (without bridge pins) lay perfectly flat on that surface. It will tend to bend around the surface being highest in the middle. The bridge pins force the string to flatten out, creating essentially two fulcrum points where the string contacts the bridge. Which forces are doing what in this regard I dont know... but it would seem to me that since the string wont be comfortable just laying flat as it were. A third point which relates to the friction by the pins that seems totally over looked is that these also are vibrating in their own fashion. For that matter the whole assembly is moving around, components phasing in and out .... all in all a pretty complicated picture. Seems to me that carefull observation clearly reveals that strings do indeed somehow climb up these pins. Just how remains perhaps a mystery. I sure would like to hear more about Maninnos video tho.... :) Cheers RicB Phil Ford writes There is vibration from play. I don't know how much variation in the forces at the pin it yields. I would think it would be fairly small even for a hard blow. It might be enough to overcome the frictional forces. I suppose it depends on how close the so-called Parallel force is to the Frictional force. If it's close, then the periodic increase from the vibration should be enough to overcome the frictional force and cause the string to move. If the frictional force is significantly higher, because of geometry, materials, or surface condition, then the force increase from the vibration wouldn't cause the string to move. I don't know what you mean by movement from thermal effects.
This PTG archive page provided courtesy of Moy Piano Service, LLC