12 String and Large Backpacker Modes
The animations on the following pages are the results of some recent measurements I've made on two instruments.
One is a traditional Dreadnought-shaped 12 String guitar made by Fender. It has a laminated spruce top and a laminated
mahogany back. The second instrument is a large version of the "Backpacker" guitar, recently made famous by the
Martin guitar company. This instrument was built by Bob McNally (The inventor of the Backpacker guitar) of
McNally Instruments. It has a solid spruce top and a solid mahogany back. This
instrument is also a 12 string.
The measurements of the top plate vibrations were made by exciting each instrument at the bridge next
the high E string pair with a small shaker driven with white noise. The shaker location was chosen so as to approximate
the location of the drive point on a guitar in normal use (i.e.the string location). The top plate velocity was then measured over
a high resolution grid using a scanning laser doppler vibrometer. (The backs were measured similarly, however, since their
is no bridge on the back plates the shaker was simply placed at a somewhat off-center location chosen to (hopefully) maximize
response). The measurments were made with full string tension. The strings were damped by placing foam between them and the
finger board.
The animations displayed are the vibration patterns at various peaks in the frequency response curves. Some are not actually
modes at all, but rather travelling waves in the instrument. Some actually show the same mode responding at slightly different frequencies
(i.e. the 303-355 Hz range of the 12 string top).
In the future, I will be measuring the remainder of my acoustic guitars in a similar manner. My goal is to try to correlate different modal
characteristics of guitar plates to subjective "sound quality" judgements. Hopefully this can lead to different acoustic guitar designs. If you
have any questions or input, please contact me at mdaley@sabine.acs.psu.edu.
12 String Top Modes
Frequency Response
35 - 145 Hz
303 - 355 Hz
485 - 848 Hz
910 - 940 Hz
1208 - 1685 Hz
12 String Back Modes
Frequency Response
45 - 158 Hz
313 - 428 Hz
560 - 680 Hz
780 - 908 Hz
958 - 1265 Hz
Large Backpacker Top Modes
Frequency Response
33 - 83 Hz
100 - 393 Hz
473 - 653 Hz
970 - 1308 Hz
1525 - 1983 Hz
Large Backpacker Back Modes
Frequency Response
58 - 278 Hz
393 - 575 Hz
690 - 888 Hz
988 - 1238 Hz
1390 - 1858 Hz