This paper presents modeling and analysis methods for design of a smart metamaterial structure consisting of an isotropic
beam and small spring-mass-damper subsystems for broadband absorption of transverse elastic waves. Two models of a
unit cell are derived and used to demonstrate the existence of a stopband right to the high-frequency side of the local
resonance frequency of spring-mass absorbers. A linear finite element method is used for detailed modeling and analysis
of simply supported finite beams with different designs of absorbers. We show that the actual working mechanism is that,
if the propagating elastic wave’s frequency is within the absorbers’ stopband, the wave resonates the integrated
spring-mass absorbers to vibrate in their optical mode to create shear forces and bending moments to stop the wave
propagation. We demonstrate that this unique phenomenon can be used to design broadband absorbers that work for
elastic waves of short and long wavelengths. With appropriate design optimization calculations, finite discrete
spring-mass absorbers can be used, and hence expensive micro- or nano-manufacturing techniques are not needed for
such metamaterial beams for broadband vibration absorption/isolation. At last we do experiment to verify the simulation
result.
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