PHYS 103 / DHC 161 Physics of Musical Sound

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Presentation transcript:

PHYS 103 / DHC 161 Physics of Musical Sound Lecture 17 Standing waves and mode shapes

Standing waves in a string Frequencies of standing waves follow the harmonic series!

Longitudinal wave mode shapes (pressure vs. displacement) transverse wave (guitar string) longitudinal wave (slinky... or sound) displacement is side to side displacement is up and down tube of air Are the ends open or closed on this tube??

Longitudinal wave mode shapes (pressure vs. displacement) displacement node displacement antinode Figure obtained from http://hyperphysics.phy-astr.gsu.edu/hbase/waves/standw.html#c1 http://www.youtube.com/watch?v=JpAUNtKLIAs

Effect of boundaries fixed-fixed fixed-free All harmonics are possible Only odd harmonics are possible