Wave Motion in 1-D Viscoelastic Phononic Crystals: A Comprehensive Analytical, Numerical and Experimental Study
Haque, A.B.M. Tahidul
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Phononic crystals are engineered materials which exhibit unique wave motion properties due to periodic arrangement of multiple homogeneous constituents. Over the last decade, metallic phononic crystals have been thoroughly investigated. However, viscoelastic phononic crystals composed of polymers and metals have not been thoroughly investigated although they can be adopted for potential applications in the acoustic frequency range (i.e., < 20kHz). For instance, the analytical dispersion relation of oblique waves has not been reported in the sagittal plane of 1-D viscoelastic phononic crystals. There is also a long standing issue of fictitious modes in the numerical dispersion relation of 1-D phononic crystals in the nite element (FE) framework. Furthermore, despite the rising interest in the nonlinear wave transmission characteristics of viscoelastic phononic crystals, conventional experimental test setups for phononic crystal studies (e.g., electrodynamic shakers and piezoelectric actuators) are not suitable to generate sufficiently large excitation to induce nonlinear wave motion.