title: On the Coriolis effect in acoustic waveguides.
abstract: Rotation of an elastic medium gives rise to a shift of frequency of its acoustic modes, i.e., the time-period vibrations that exist in it. This frequency shift is investigated by applying perturbation theory in the regime of small ratios of the rotation velocity and the frequency of the acoustic mode. In an expansion of the relative frequency shift in powers of this ratio, upper bounds are derived for the first-order and the second-order terms. The derivation of the theoretical upper bounds of the first-order term is presented for linear vibration modes as well as for stable nonlinear vibrations with periodic time dependence that can be represented by a Fourier series.
authors.affiliation: Laboratory for Electrical Instrumentation, Department of Microsystems Engineering, University of Freiburg, Georges-Koehler-Allee 103, 79110 Freiburg, Germany.
authors.forename: Henry
authors.initials: H
authors.lastname: Wegert
authors.forename: Leonard M
authors.initials: LM
authors.lastname: Reindl
authors.forename: Werner
authors.initials: W
authors.lastname: Ruile
authors.forename: Andreas P
authors.initials: AP
authors.lastname: Mayer