Effective Medium Theories

Kreher, W.

doi:10.1007/978-3-540-68683-5_23

Piezoelectricity

2008

DOI: 10.1007/978-3-540-68683-5_23

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Effective Medium Theories

W. Kreher

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2023

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Vibration analysis of a composite elastic metamaterial plate based on a semi-analytical method

Wang

et al. 2023

Eur. Phys. J. Appl. Phys.

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A semi-analytical vibration analyzing process is presented for a kind of finite composite elastic metamaterial plate by combining the equivalent medium theory and the first-order shear deformation sandwich plate theory, and the natural and steady-state vibration characteristics of such complex composite structure are investigated by means of equivalent analysis. The effectiveness of the semi-analytical analyzing process is demonstrated and some extraordinary vibration behaviors of such composite structure are revealed, such as there is no natural frequency in the bandgap, the modal density consistently increases around the bandgap's starting frequency, and the modes of the appropriate orders before and after the bandgap are consistent at the macroscopic level. The semi-analytical analyzing process and the special vibration behaviors may provide useful reference for relevant investigation and design of composite elastic metamaterial plate structures in the field of vibration control and isolation.

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Vibration analysis of a composite elastic metamaterial plate based on a semi-analytical method

Wang

et al. 2023

Eur. Phys. J. Appl. Phys.

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show abstract

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Effective Medium Theories

Cited by 1 publication

References 23 publications

Vibration analysis of a composite elastic metamaterial plate based on a semi-analytical method

Vibration analysis of a composite elastic metamaterial plate based on a semi-analytical method

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