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Multi-displacement continuum model with local resonance
  • 期刊名称:Acta Mech. Sinica Solida
  • 时间:2011
  • 页码:1-1
  • 分类:O34[理学—固体力学;理学—力学]
  • 相关基金:supported by the National Natural Science Foundation of China (Nos. 11072031, 10832002)
  • 相关项目:微极介质的细观力学模型及实验研究
中文摘要:

We propose a multi-displacement continuum (MDC) model to characterize the local resonance presented in a lattice system. Dispersion curves in a mass-in-mass system are studied and compared to the single-displacement model. It is shown that the dispersive relations and the local resonant band gap structures can be adequately described. The acoustic mode can be accurately predicted, while the optical mode is correctly predicted for certain frequency range, where the wave length is large enough. The single-displacement model fails to describe the bang gap structure inherent in the system due to local resonance.

英文摘要:

We propose a multi-displacement continuum (MDC) model to characterize the local resonance presented in a lattice system. Dispersion curves in a mass-in-mass system are studied and compared to the single-displacement model. It is shown that the dispersive relations and the local resonant band gap structures can be adequately described. The acoustic mode can be accurately predicted, while the optical mode is correctly predicted for certain frequency range, where the wave length is large enough. The single-displacement model fails to describe the bang gap structure inherent in the system due to local resonance.

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