A small bending vibration in a periodic beam with sliding sleeves forces a lengthwise vibration at twice its frequency, including at frequencies inside the axial band gap, and can drive that axial vibration to resonance.
Acoustic wave polarization and energy flow in periodic beam lattice materials
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Nested Bloch waves in elastic structures with configurational forces
A small bending vibration in a periodic beam with sliding sleeves forces a lengthwise vibration at twice its frequency, including at frequencies inside the axial band gap, and can drive that axial vibration to resonance.