String and pipe resonance differ in transverse versus longitudinal wave motion

Evidence

However, the nature of the sound source in wind instruments is rather different, but the description of the sound modifiers in wind instruments has much in common with that relating to possible modes on a string but with a key difference that a string exhibits transverse wave motion, considered in terms of displacement modes, whereas in a pipe it is longitudinal wave motion, where considerations of the velocity and pressure modes are the key. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1132

Categorization

• DEFINE: Clarifies why pipe resonance is analyzed via velocity/pressure modes rather than displacement modes.
• XREF: connects to: String and wind instruments share modifier physics but differ in wave motion type; Standing waves in pipes occur only at odd multiples of the lowest frequency — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 410; One closed and one open pipe end supports only odd quarter-wavelength standing waves (+4 more)

Broader Connections

• Transverse waves move particles side to side rather than push-and-pull. #corroborates (0.93)
• String and wind instruments share modifier physics but differ in wave motion type #corroborates (0.92)
• Sound waves are longitudinal waves of alternating compression and rarefaction #corroborates (0.90)
• Standing waves in pipes occur only at odd multiples of the lowest frequency #exemplifies (0.78) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 410
• One closed and one open pipe end supports only odd quarter-wavelength standing waves #exemplifies (0.75)
• Mixed-end tubes resonate only at odd multiples of the fundamental frequency #exemplifies (0.75)
• Stiffness makes transversal waves dispersive and their modal tones inharmonic #expands (0.72) — Ville Pulkki, Matti Karjalainen, Communication Acoustics- An…, 248