  In the present study, the authors introduce a geometrically improved model
inspired by the mammalian basilar membrane's properties and special vibratory
behavior while conducting a parametric investigation. The goal of this model is
to mimic the broadband non-reflective traveling wave response to excitation
frequencies, as observed in the basilar membrane. Simple structural elements,
such as beams, springs, and dashpots are utilized for this purpose. Therefore,
the beam's equation of motion is developed using Hamilton's principle, and the
Galerkin method is implemented as the discretization scheme. Then, the model is
verified by comparing its outcome to results presented in the literature.
Finally, a parametric study is conducted to reveal the effect of different
parameters, i.e., the absorber's location and coefficients' values, excitation
frequency, geometric tapering, and material grading on the non-reflective
traveling wave response of the beam. The results reveal that traveling waves
and their quality are strongly dependent on these parameters. In addition, this
study suggests that adopting a single spring-damper system within the span of
the beam as the wave reflection absorber may not address the entire bandwidth.
