期刊
WAVE MOTION
卷 93, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.wavemoti.2019.102483
关键词
Engineering structures; State-space formulation; Floquet-Bloch's theorem; Anelastic displacement fields (ADF) model; Nonviscous damping
资金
- National Natural Science Foundation of China [51975352]
Engineering structures for different dispersion and dissipation levels of wave propagation use internal variable models, which may enhance the performance of acoustic metamaterials (AMMs). In this study, the wave dispersion and dissipation performance of AMMs is studied using an anelastic displacement fields (ADF) model. A symmetric state-space method based on Floquet-Bloch's theorem for a nonviscously damped unit cell is developed. The study also constructs Bloch's eigenvalue problems built from the symmetric state-space formulation to obtain the wavevector-dependent damped frequency and damping ratio for wave propagation analysis of periodic structures. The effects of wave dispersion and dissipation on the performance of AMMs are studied by using two numerical examples of mass-in-mass lattice systems containing multiple resonators. It is shown that nonviscous damping increases the wave dispersion performance of AMM. It is also shown that the metadamping phenomenon enhances the wave dissipation performance of AMM. It is demonstrated that the new method in symmetric form is applicable for performance analysis of periodic phononic crystal. (C) 2019 Elsevier B.V. All rights reserved.
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