The Acoustics of Mandolins by Dave Cohen and Thomas D. Rossing
Abstract: Using electronic TV holography, we have studied the vibrational modes of four mandolins and a mandola. The lowest (0,0) modes may appear as a triplet (as in a guitar) or as a doublet. The modal frequencies correlate well with the frequency response curves. Sound spectra indicate that sound radiation is quite uniform over the 0-5 kHz range with some rolloff above 2.5 kHz.
from Acoustical Science and Technology, 24, 1 (2003), pp 1-6.

Normal Modes of Vibration in Two Mandolins by Dave Cohen and Thomas D. Rossing
Abstract: Using electronic TV holography, we have studied the vibrational modes of two mandolins of the Gibson F-type, one with f-holes and the other with an oval sound hole. Although the observed normal modes are moderately similar to those observed in guitars, the coupling between plate modes and air cavity modes appears to be weaker. Plate coupling is greater in the oval hole instrument, and we observe three (0,0) modes as in a guitar. In the f-hole instrument, a doublet (0,0) is observed.
from Catgut Acoustical Society Journal, Vol. 4, No. 2 (Series III), November 2000, pp 48-54.

Curtate Cycloid Arching related to Instrument Body Outlines and Contours" in American Lutherie, #96, pp 26-33 (Winter, 2008).
Abstract: The curtate cycloid arch is described and related to mandolin and guitar body outlines. A method for laying out the arch with control over the position of the apex of the arch, the height of the arch, and its' proximity to the edge of the plate is described. Examples are done for a mandolin in polar coordinates and for guitar in Cartesian coordinates.

 

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