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Anonymous Poster #1

Seeking Clarification of Resonance Frequency Equation

02/13/2013 10:08 AM

Dear Sir / Madam,

I have read through SMACNA's HVAC Systems - Duct Design, chapter 11 section 5 Insertion Loss External Duct Lagging.

I have a problem with equation 11-81 to determine the resonance frequency, fr (Hz), associated with the interaction between the duct wall and outer covering as below :

fr = 156 [ (P2/P1 + M2/M1) x (P1/M2) x S]1/2

where P1 is the perimeter of the duct (inches), P2 is the perimeter of the outer covering (inches), M, is the mass per unit area of the duct (lb/ft2), and M2 is the mass per unit area of the outer covering (lb/ft2). S is the cross-section area (in2) of the absorbent material.

It seems like the equation is not correct. Could somebody advise me.

Thank you.

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Guru

Join Date: Oct 2008
Posts: 42355
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#1

Re: Seeking Clarification of Resonance Frequency Equation

02/13/2013 3:52 PM

Why not speak directly to the publisher of the text? I'm sure they would be greatful if you have actually found a flaw in their work.

Sheet Metal and Air Conditioning Contractors' National Association ...

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Guru
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Join Date: Feb 2012
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#2

Re: Seeking Clarification of Resonance Frequency Equation

02/14/2013 11:56 AM

Seems like missing info to me, too.

Left of the = you have Hz which is cycles/sec. Right of the = you have lengths and weights (masses). How these reduce to cycles per second is not readily evident.

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