[pianotech] Belly Deflection Experiment was reversing crown

PAULREVENKOJONES at aol.com PAULREVENKOJONES at aol.com
Sun Jan 3 14:04:21 MST 2010


Jim:
 
Briefly  this is  an amazingly compiled response to which I cannot respond 
fully right now, but  will soon. And, yes, if there are pictures, please 
send them.
 
Thanks much!
 
Fellow traveler? Shades of the 50's and HUAC? But fellow traveler indeed  
along the way...
 
Thanks again.
 
Paul
 
 
In a message dated 1/3/2010 12:36:39 P.M. Central Standard Time,  
jimialeggio at gmail.com writes:


On Thu, Dec 31, 2009 at 2:12 PM, <_paulrevenkojones at aol.com_ 
(mailto:paulrevenkojones at aol.com) > wrote:


JIm:
 
Did you develop any data with this, take any pictures, create  
documentation etc. that would be helpful, write-able up?  Please?




Paul,
 
This is a response to your request for further info regarding my  rc&s 
belly load experiment. I've written 3 attempted responses but  chucked 
them...let me try this one. If this response seems coy or obfuscatory,  please accept 
my apologies in advance. I have sincerely put time in  to this response, 
and am trying to be helpful to those like me who  are seriously trying to wrap 
their minds around belly issues.
 
The purpose of my experiment was help me to form a clear visual  image of 
what is happening to a loaded board from a purely structural  perspective. No 
publication was envisaged, as the test process which was  already quite 
time intensive, would have had to take 10 times as long to  be reasonably 
publishable as reliable data. Further, any data published would  still have been 
only "basic research" type data, meaning it would not be  appropriate to use 
this data to formulate concrete belly design  protocols, or worse to 
confuse others by suggesting that it could be directly  applied to a belly. So I 
think I'll give the publishing angle a  miss.  
 
However, the following are the broad outlines of what i  learned which you 
can take to your own experiments and validate or  discard for yourself.
 
 

The 1/3 scale rig consisted of a rib/bridge system whose rib scale and  
load values were scaled from a failed rc&s belly I had  constructed. 
 
The first step of my plan was to construct the scaled test and run  it in 
several permutations, and compare it to my spreadsheet predictions of  
deflection. The second step was to take the real failed belly, and by  reducing 
the load from 700lb-250lb in measured steps, come up with deflection  #s for 
the real belly, again comparing them to spreadsheet predictions. Third  was 
to compare the behavior of the test to the behavior of the  real belly. (side 
note: comparison of the failed belly to  the scaled belly was an essential 
part of the test.)
 


 
Since knowing what loads to assign to each rib is a key part of an  rc&s 
design, I wanted to understand how to think about "where the  string loads 
actually go". The design of the experiment seemed a good way to  apply actual 
loads in real time and see what happened. My initial hypothesis  was that the 
calculated loads for each rib should be calculated at  the physical places 
they contacted he bridge.  I  expected I would be able to nail down specific 
load distribution  numbers.
 
My hypothesis was incorrect; ie, the system is too complex. But I  did get 
a way to think about loads that was more generally supported by  the 
experimental results. I'll share just the broad outlines of this, as these  
experiments already involve many many unpaid hours or messing about  trying to find 
ways of understanding belly structure and were structured  to make sense to 
particular way my brain likes to process information.  

Many of you bellymen are way beyond these observations; they are  presented 
here for those like me who are trying to make sense of this system.  All of 
the points have been discussed on this list before I think. They point  
towards a way of approaching the problem intellectually. They are not  
presented as a recipe.
 
Please remember that the following refers to an rc&s board  only.
 
1- deflection of an individual stand alone rib unattached to any  bridge 
structure is quite linear and conforms to the deflection  formulae.
2- the addition of the bridge adds significant stiffness to the  structure. 
This was not intuitive for me.  The bridge not only evens  (bridges) the 
loads, but it actually adds stiffness to the rib assembly. 
3- the addition of the board and glue down to the rim adds  stiffness to 
the system
4-There are stiffness losses (though not from compression set as in  
compression boards) related to beam relaxation and initial beam  springback(after 
ribs are removed from the laminating caul) 
5-***a biggy*** the deflection of the entire system,  
ribs/bridge/board/rim, still behaves in a relatively  linear fashion  (remembering that my 
experiment refers  only to an rc&s board, not a compression board). Which by the 
way explains  why rc&s structures are not as picky about downbearing as 
compression  boards
6- ***the punch line*** the load that each rib is expected to  carry can be 
mathematically be described as a coordinate point in a trend. If  that 
sounds like greek to you, open up an excel file, enter 2 columns  worth of x and 
y coordinates,  click on the graph wizard, and graph  those points as an 
x.y scatterpoint plot. Then add a "trendline" to the plot  (this is all 
accessible through excel wizards). There are a bunch of  trendline choices, play 
with the polynomial trends and see what they do  to your plot points.   
 
The big thing I learned from these experiments was that anything we see  
happening structurally or tonally will be observed as a trend; ie, a tendency  
for things to go a certain way under a certain set of circumstances. and to 
 progress in an "even" or rather "trended" fashion.  Look for a  "tendency" 
as opposed to a recipe.  
 
When I ran the tests, the "data" I collected was not only deflection  #s. 
Equally, or more importantly, with my own eyes, I watched as I saw my  
predictions confirmed or negated right on the bench. Since I have a  visual 
intelligence the combination of all the numerical and visual "data"  etched itself 
in my brain. Together with the visual nature of the excel  graph/trends, 
the visual observation and deflection# constructed a way for my  brain to 
conceptualize the belly's behavior. 
 
So the bottom line, which has also been stated numerous times by seasoned  
belly experts on this list, is, the only way to get a handle on the #'s  is 
to construct a way for your own brain to embrace the complexities  involved. 
 Forget about hard #'s and become comfortable with the concept  of 
mathematical trends.  Excel is accessible. Mess around with it. Any  time you get 
stuck the internet has the excel experts answering questions  quite 
effectively. Ask the list "how to do" specific formulae when  you get stuck. Mess 
around with excel and mess around some more...its  really quite entertaining.
 
I hope that doesn't sound coy. Its just the way it is, just like there  are 
no hard #s for the most beautiful tuning or voicing.
 
ps. I can post pics of the first test rig(I went through 2 versions of  the 
test rig) when I get home, if you would like...away visiting right  now.

 

Your fellow traveler,
 
Jim I
_grandpanosolutions.com_ (http://grandpanosolutions.com/) (almost  
launched, if IE-7 would stop blowing up)
 

 
  


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