Longitudinal and shear waves preserve waveshape because phase velocity is frequency-independent
Evidence
From Figure 1.5, we can see that both the quasi-longitudinal and transverse shear waves in bars and plates are nondispersive. That is, their phase velocity is independent of frequency. This means that they also have a frequency-independent group velocity and therefore preserve the waveshape of a sound wave containing many frequency components. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 132
Categorization
- corroborated: 3 independent passages support this claim — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 132
- XREF: connects to: The wave equation fλ equals c applies to any wave in any medium; Materials with movable boundaries support wave types beyond longitudinal waves.; Solid structures carry three main wave types plus hybrid surface waves — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 105 (+3 more)
Broader Connections
- Dispersive media split wave speed into phase and group velocity
#expands(0.90) - Phase velocity measures single-frequency speed while group velocity tracks the signal envelope
#expands(0.85) — David Howard, Jamie Angus, coustics and Psychoacoustics, 105