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Because the speed of the gaseous detonation can be comparable to the flexural wave group speed, excitation of flexural waves in the tube wall must be considered.
The energy transmission relationship for the infinite plate relates the far field radial intensity, the group speed and the local energy density.
A wave group as a whole has a group speed that generally is less than the speed of propagation of the individual waves; the two speeds are equal only for groups composed of long waves.
The influence of the porosity content on the group speed and also the effect of variation in theses parameters on the time responses are studied first, in the forward problem.
Higher values of the power-law index are found to lead to a marked decrease in the phase speed and a noticeable increase of the group speed of the extensional wave.
For higher frequencies (300 1500 Hz) the behaviour is more complex, including phenomena such as 'curve veering' and waves for which the phase speed and group speed have opposite signs.
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A mixed design ANOVA (2 Groups × 2 Road Types) showed significant group differences in the proportion of distance travelled over the speed limit with the ADHD group speeding more than the control group (main effect Group) and more speeding on the motorway than in the urban area (main effect Road Type), but no Group by Road Type interaction (see Table 2).
The corresponding wave group speeds are smaller in nonlocal calculation as compared to local elasticity calculation.
Effect of viscous damping on group speeds and wave amplitudes are studied for graphite epoxy composite beams.
Academic studies found that while every racial group sped on the turnpike, black motorists were five to 16 times more likely to be stopped.
As an application we analyze the shifted wave equation, including the behavior of the numerical phase and group speeds at different orders of approximations.
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