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This paper reports on the wave transmission characteristics of two configurations of a hybrid one dimensional (1D) medium. The hybrid characteristic is the result of the coupling between a 1D mechanical waveguide in the form of an elastic beam and an electrical network. The first configuration investigated is based on an LC high-pass network, while the second configuration is based on an LC band-pass network. For both networks, the capacitors are represented by a periodic array of piezoelectric elements that are bonded to the beam coupling, the mechanical and electrical domains, and thus the two waveguides. The coupling is characterized by a coincidence in frequency/wavenumber corresponding to the intersection of the dispersion curves. At this coincidence frequency, the hybrid medium features attenuation of wave motion as a result of the energy transfer to the electrical network. This energy exchange is depicted in the dispersion curves by eigenvalue crossing, a particular case of eigenvalue veering. This...

Controllable wave propagation of hybrid dispersive media with LC high-pass and band-pass networks