Слайд 2

BANJOS BANJOS ARE MAINLY OF THREE TYPES: 4-STRING BANJO WITH RESONATOR:

BANJOS

BANJOS ARE MAINLY OF THREE TYPES:
4-STRING BANJO WITH RESONATOR: POPULAR IN

RAGTIME AND DIXIELAND JAZZ; USUALLY PLAYED IN STRUMMING OR FLAT PICKING STYLE
5-STRING BANJO WITH RESONATOR: POPULAR IN BLUEGRASS MUSIC; USUALLY PLAYED WITH PICKS
5-STRING BANJO WITHOUT RESONATOR: USED IN OLD-TIME MUSIC; OFTEN PLAYED IN “CLAW HAMMER” STYLE (STRINGS ARE PICKED AND BRUSHED WITH THE FINGERS)
THE BRIDGE RESTS ON A MYLAR MEMBRANE WHOSE TENSION CAN BE ADJUSTED WITH A HOOP AND BOLTS
WITH THE RESONATOR IN PLACE, THE INSTRUMENT HAS AN ENCLOSED AIR CAVITY, AS FOUND IN GUITARS, VIOLINS, MANDOLINS, AND OTHER INSTRUMENTS. TUNING OF THE CAVITY IS POSSIBLE BY USE OF ADJUSTABLE SPACERS CALLED “RAEJUSTERS” WHICH CHANGE THE SPACING BETWEEN THE RESONATOR AND THE REST OF THE BANJO POT
Слайд 3

BANJO BANJO WITH RESONATOR OFF AND ATTACHED

BANJO

BANJO WITH RESONATOR OFF AND ATTACHED

Слайд 4

BANJO SOUND A 5-STRING BANJO IS USUALLY TUNED TO D,B,G,D,G (294,

BANJO SOUND

A 5-STRING BANJO IS USUALLY TUNED TO D,B,G,D,G (294, 248,

196, 147, AND 393 Hz, RESPECTIVELY). THE BRIGHT SOUND HAS MANY HARMONICS.

SPECTRUM OF BANJO SOUND FOLLOWING A PLUCK OF THE OPEN 1ST STRING

Слайд 5

BANJO SOUND FRACTION OF TOTAL SOUND UP TO AND INCLUDING HARMONICS Hn

BANJO SOUND

FRACTION OF TOTAL SOUND UP TO AND INCLUDING HARMONICS

Hn
Слайд 6

MODES OF VIBRATION THE COMPLEX VIBRATION OF A SYSTEM CAN BE

MODES OF VIBRATION

THE COMPLEX VIBRATION OF A SYSTEM CAN BE CONVENIENTLY

DESCRIBED IN TERMS OF NORMAL MODES OF VIBRATION. A NORMAL MODE IS CHARACTERISTIC OF THE VIBRATING OBJECT ITSELF AND IS NOT DEPENDENT ON HOW THE OBJECT IS EXCITED OR OBSERVED. FOR A MANDOLIN, A NORMAL MODE IS DETERMINED BY THE COUPLED MOTION OF ITS STRINGS, BRIDGE, HEAD, ENCLOSED AIR CAVITY, AND THE NECK/HEADSTOCK/FINGERBOARD ASSEMBLY.
THE DEFLECTION OF AN OBJECT AT A PARTICULAR FREQUENCY IS CALLED AN OPERATING DEFLECTION SHAPE (ODS). AN ODS MAY RESULT FROM THE EXCITATION OF MORE THAN ONE NORMAL MODE. A CURVE FITTING PROGRAM MAY BE USED TO DETERMINE THE INDIVIDUAL NORMAL MODES FROM THE ODS.
Слайд 7

HOLOGRAPHIC INTERFEROMETRY EXPERIMENTAL MODAL ANALYSIS MY BE ACCOMPLISHED USING ANY TRANSDUCER

HOLOGRAPHIC INTERFEROMETRY

EXPERIMENTAL MODAL ANALYSIS MY BE ACCOMPLISHED USING ANY TRANSDUCER CAPABLE

OF DETECTING MOTION, BUT HOLOGRAPHIC INTERFEROMETRY OFFERS THE BEST SPATIAL RESOLUTION.
ELECTRONIC TV HOLOGRAPHY IS A FAST AND CONVENIENT WAY TO RECORD ODSs FROM WHICH NORMAL MODES CAN BE DETERMINED.

SYSTEM USED FOR TV HOLOGRAPHY

Слайд 8

VIBRATIONAL MODES OF THE HEAD HOLOGRAPHIC INTERFEROGRAMS OF SEVERAL VIBRATIONAL MODES

VIBRATIONAL MODES OF THE HEAD

HOLOGRAPHIC INTERFEROGRAMS OF SEVERAL VIBRATIONAL MODES OF

THE HEAD OF A HUBER LEXINGTON BANJO.
Слайд 9

VIBRATIONAL MODES OF THE HEAD

VIBRATIONAL MODES OF THE HEAD

Слайд 10

HEAD MODES SPECTRUM FROM TAPPING HEAD SHOWING LOW-FREQUENCY HEAD MODES

HEAD MODES

SPECTRUM FROM TAPPING HEAD SHOWING LOW-FREQUENCY HEAD MODES

Слайд 11

RESONATOR THE RESONATOR VIBRATES VERY LITTLE. ITS MAIN ROLE IS TO

RESONATOR

THE RESONATOR VIBRATES VERY LITTLE. ITS MAIN ROLE IS TO DEFINE

AN AIR CAVITY WHICH HAS QUITE A LARGE EFFECT ON THE HEAD VIBRATION AT LOW FREQUENCY. INCREASING THE SIZE OF THE RESONATOR-RIM GAP BY MEANS OF A RAEJUSTER INCREASES THE RESONANCE FREQUENCY OF THE ENCLOSED AIR CAVITY
Слайд 12

EFFECT OF RESONATOR ON SOUND FRACTION OF TOTAL SOUND vs FREQUENCY WITH AND WITHOUT THE RESONATOR

EFFECT OF RESONATOR ON SOUND

FRACTION OF TOTAL SOUND vs FREQUENCY

WITH AND WITHOUT THE RESONATOR
Слайд 13

BRIDGES BRIDGES ARE MADE OF DENSE HARDWOOD WITH A CAP OF

BRIDGES

BRIDGES ARE MADE OF DENSE HARDWOOD WITH A CAP OF EVEN

DENSER WOOD. MOST BRIDGES HAVE 3 LEGS, ONE AT EACH END AND ONE AT THE CENTER. A USEFUL TRICK IS TO DRILL VERTICAL HOLES THROUGH THE OUTER LEGS WITH ALUMINUM RODS TO STIFFEN THE BRIDGE.

FRACTION OF SOUND vs FREQUENCY FOR TWO BRIDGES. BRIDGE 1 IS MADE OF A STIFFER WOOD THAN BRIDGE 2.

Слайд 14

TRANSFER OF VIBRATION ENERGY WITHIN THE BANJO ACCELERATION AMPLITUDES OF VARIOUS

TRANSFER OF VIBRATION ENERGY WITHIN THE BANJO

ACCELERATION AMPLITUDES OF VARIOUS PARTS

OF THE BANJO WHEN THE BRIDGE IS VIBRATED. BY FAR THE MOST ENERGY IS TRANSFERRED TO THE HEAD , ESPECIALLY AT LOW FREQUENCY (Rae, 2009)
Слайд 15

SOUND DECAY SOUND SPECTRA FROM 1st STRING EXCITED 1 INCH FROM

SOUND DECAY

SOUND SPECTRA FROM 1st STRING EXCITED 1 INCH FROM THE

BRIDGE RECORDED 0-2 s AFTER PLUCKING
Слайд 16