Abstract
Doppler effects are discussed for dispersive deflection waves in 1D beam and 2D plate. Exact dynamic analysis is carried out for the beam and plate with a moving edge. The frequency shift, reflection angle and amplitude are derived exactly. The Doppler effects for the dispersive wave are different from those for the non-dispersive elastic/electromagnetic wave, but their approximate forms for a small Mach number are identical. In the case of plane wave, the reflection angle for the dispersive wave does not exceed π/2, but that for the non-dispersive wave exceeds. The reflected wave with this critical angle runs on the moving edge as if the evanescent wave does.
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