... the band gap and obtain the unusual roton-like behavior, the Kapitza’s pendulums and nonlocal connection stiffness are introduced into the linear mass-spring periodic system. The frequency range with the roton-like behavior is modulated via the parametric excitation. Moreover, the dispersion relations show...

...-loop parametric excitation are introduced to stabilize this self-excitation mechanism. The parametric excitation mechanism is modeled by time-harmonic variation in the concentrated mass and/or moment of inertia. The conditions for full suppression of the self-excited vibrations are determined...