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

2. Outline The Guitar String oscillation Measurements The Guitar String oscillation Measurements

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

4. 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 http://me-lrt.de/img/TM3-V21-oberschwingungen-eigenschwingungen.png

5. General Solution

6. Picking at the 12 th fret A = L = 1

7. Picking at the 12 th fret n dndn

8. Picking at the soundhole A = L = 1

9. Picking at the soundhole dndn n

10. Picking at the bridge A = L = 1

11. Picking at the bridge dndn n

12. Comparison

13. Oscillations of the top http://www.bbc.co.uk/news/science-environment-13573631

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

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

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

17. 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 1.2.6 – 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 1.2.6 – Microsoft Powerpoint 2010