[TheForge] Chimes

[Mike Linn]

Erik

That is because the natural frequency of the chime is based on length AND 
diameter..  The wave physics you remember from high school or electronics 
is for a string or zero diameter wave. For a string, the diameter is a 
negligible influence on the node location and for zero diameter waves, it 
is theoretically at the 1/4 wave length. According to Euler's Equations 
(http://www1.iwvisp.com/cllsj/windchimes/euler.html) the nodes are based on 
the mass per unit length in other words length, diameter and wall thickness 
all play a roll, to varying degrees.

Here is another site for info on chime calculations and a few tips on the 
clapper.  http://www1.iwvisp.com/cllsj/windchimes/

mike



At 03:07 PM 9/17/2004, you wrote:
>Hi Mike,
>
>Hmmm, I saw this number on the web page you pointed two earlier:
>http://home.fuse.net/engineering/Chimes.htm
>(bookmarked, thanks)
>
>Any idea where that number comes from? Even fractions like 1/4 (25%) makes 
>intuitive sense the way I understand the physics of standing waves. I 
>poked around but didn't find anything supporting the 22.42% number?
>
>any ideas?
>
>Erik
>
>On Sep 17, 2004, at 9:01 AM, Mike Linn wrote:
>
>>
>>The nodal points are actually 22.42 % from either end
>>
>>
>>
>>At 09:01 AM 9/17/2004, you wrote:
>>>Yeah uh, ok,  but since the length of tube for a chime has to be some 
>>>integral component of the wave , where are you sugesting to make the 
>>>attachment ( as a fraction of the length)
>>>
>>>Maybe I am missing it and you have told us that, and I am just too dense 
>>>this morning?
>>>
>>>
>>>Charles
>>>
>>>
>>>Bill Alleman wrote:
>>>
>>>>Larry and Pat Brown wrote on 9/17/2004, 5:04 AM:
>>>>
>>>> > If I remember correctly from making some wind chimes the attachment
>>>> > point is about 1/4 down the tube
>>>>
>>>>A half-wave, like a jumprope, doesn't get you any useable nodes. One 
>>>>full wave (an octave) would be end to end, with a node at the center. 
>>>>Then 1.5 waves (like a triangle) divides in thirds. The next harmonic, 
>>>>2 full waves, would have nodes at the 1/4s and 1/2. Etcetera. The 
>>>>length, from attachment point to ends, should be an integral number of 
>>>>half-waves, and I believe that the lower the harmonic of choice, the 
>>>>better the effect. Like the guitar technique Yes used in Roundabout...
>>>
>>>
>>>            Mike Linn
>>>      Artist Blacksmith
>>>          McCalla, AL
>>>        AFC Webmaster
>>>http://afc.abana-chapter.com
>>>
>>>
>>>"Don't worry Chief, I can stand the torture if they can stand the 
>>>screaming."
>>>                                              - Maxwell Smart, Secret 
>>> Agent 86
>>>
>>>
>>>______________________________________________________________________
>>>
>>>
>>>
>>
>>
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>
>_______________________________________________
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            Mike Linn
      Artist Blacksmith
          McCalla, AL
        AFC Webmaster
http://afc.abana-chapter.com


"Don't worry Chief, I can stand the torture if they can stand the screaming."
                                              - Maxwell Smart, Secret Agent 86


______________________________________________________________________