Abstract
For the elastic SV (transverse) waves in metals, a high-quality narrow passband filter that consists of aligned parallel thin plates with small gaps is designed. In order to obtain a good performance, the thin plates should be constituted by materials with a smaller mass density and Young’s modulus, such as polymethylmethacrylate (PMMA), compared to the embedded materials in which the elastic SV waves propagate. Both the theoretical model and the full numerical simulation show that the transmission spectrum of the designed filter demonstrates several peaks with flawless transmission within 0 KHz ∼20 KHz frequency range. The peaks can be readily tuned by manipulating the geometrical parameters of the plates. Therefore, the current design works well for both low and high frequencies with a controllable size. Even for low frequencies on the order of kilohertz, the size of this filter can be still limited to the order of centimeters, which significantly benefits the real applications. The investigation also finds that the same filter is valid when using different metals and the reason behind this is explained theoretically. Additionally, the effect of bonding conditions of interfaces between thin plates and the base material is investigated using a spring model.
Highlights
During the past decade, design of filters/isolators for classical waves has attracted great attentions due to their wide employment in various applications such as wave signal processing system and noise/vibration controlling
The results show that solutions based upon the Mindlin plate theory agree better with numerical simulations than the Kirchhoff plate theory
The results show that all the transmission spectrums of this current filter from the two theories and numerical simulations have several sharp peaks, where the incident SV wave is transmitted through the filter without loss
Summary
Design of filters/isolators for classical waves has attracted great attentions due to their wide employment in various applications such as wave signal processing system and noise/vibration controlling. The existence of forbidden band gaps allows phononic crystals (PnCs) to become a potential candidate for the design of filters/isolators for acoustic and elastic waves.[1,2,3] Controlled by the Bragg scattering mechanism, the forbidden bandwidth of PnCs is typically narrow and the waves inside the band gaps are of the wavelength at the same order as the lattice constants of PnCs. As a result, the PnCs-based design usually serves as a broad passband filter and an unmanageable size is needed for low frequency problems. The PnCs-based design usually serves as a broad passband filter and an unmanageable size is needed for low frequency problems This has led to the increased research effort to increase the forbidden bandwidth[4,5,6,7] and to decrease the working frequency of PnCs. The pioneer
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