Flexural vibration band gaps in Euler-Bernoulli beams with locally resonant structures with two degrees of freedom

By Dianlong Yu, Yaozong Liu, Honggang Zhao, G. Wang, J. Qiu. 2006

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A chiral elastic metamaterial beam for broadband vibration suppression (2014, unknown): “It was reported that the vibration attenuation frequency region will be enlarged and the FRF amplitude will be decreased by including material damping factor in the resonator [25].”
A general theory for bandgap estimation in locally resonant metastructures (2016, background): “Other researchers have studied different implementations of resonators for different types of elastic waves [15–21], and twodegree-of-freedom resonators [22].”
Optimum design of band-gap beam structures (2012, background): “Elastodynamics of finite or infinite periodic 1D rod or beam structures has been studied in Richards and Pines (2003), Hussein et al. (2006a), Yu et al (2006) and Liu and Hussein (2012).”