The Guitar A String Oscillator By Leonard Koch A String Oscillator By Leonard Koch.

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Presentation transcript:

The Guitar A String Oscillator By Leonard Koch A String Oscillator By Leonard Koch

Outline The Guitar String oscillation Measurements The Guitar String oscillation Measurements

Parts of the Classical Guitar Body Neck Headstock Bridge Fingerboard Frets Top Soundhole Tuning Machines Nut

String Oscillator Length L Wave number k= 2π/ λ = n·π/L ; n = 1, 2, 3, … Angular frequency ω = n·π·c/L Length L Wave number k= 2π/ λ = n·π/L ; n = 1, 2, 3, … Angular frequency ω = n·π·c/L n = 1 n = 2 n = 3 n = 4

General Solution

Picking at the 12 th fret A = L = 1

Picking at the 12 th fret n dndn

Picking at the soundhole A = L = 1

Picking at the soundhole dndn n

Picking at the bridge A = L = 1

Picking at the bridge dndn n

Comparison

Oscillations of the top

Measurements – 12 th fret n=1 n=7 n=6 n=5 n=4 n=3 n=2

Measurements - Soundhole n=1 n=7 n=6 n=5 n=4 n=3 n=2

Measurements - bridge n=1 n=7 n=6 n=5 n=4 n=3 n=2

Thanks for listening Friedhelm Kuypers: Klassische Mechanik, 9., erweiterte Auflage, 2010 WILEY-VCH Verlag GmbH & Co. KG aA, Weinheim Software: – Wolfram Mathematica 8 for Students, Wolram Research – Audacity – Microsoft Powerpoint 2010 Friedhelm Kuypers: Klassische Mechanik, 9., erweiterte Auflage, 2010 WILEY-VCH Verlag GmbH & Co. KG aA, Weinheim Software: – Wolfram Mathematica 8 for Students, Wolram Research – Audacity – Microsoft Powerpoint 2010

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