Vibration Band Gap Characteristics of Two-Dimensional Periodic Double-Wall Grillages
Abstract
:1. Introduction
2. Materials and Methods
3. Results and Discussion
3.1. Numerical Calculation and Experimental Verification
3.2. Analysis of Influencing Factors
4. Conclusions
- There is a complete band gap in the periodic DwGs, which can be calculated accurately by the WFEM. The dispersion relations of numerical results are compared with the vibration transmission spectra of the model test and finite element calculation, which proves the effectiveness of the method in calculating the vibration band gap of DwGs.
- The complete band gap of periodic grillage structures is mainly related to the shear deformation of plates, and therefore material parameters of the plate have more influence on the band gap than the frame, which always works as the foundation of a DwG.
- With an increase in the dimensionless elastic modulus and thickness of plates, the band gap gradually moves to a higher frequency; in contrast, when the dimensionless density of plates gradually increases, the band gap moves to a lower frequency. All the bandwidths first increase and then decrease, and reach the maximum value when the dimensionless parameters equal certain values.
- Compared with DwGs, SwGs show shear deformation characteristics of the frames due to the lack of plates at the bottom, resulting in the decrease of the bandwidth, which causes the attenuation effect to decrease.
- The frame forms of DwGs have a direct impact on the band gap characteristics. The transverse-framed DwGs in this article produce an additional directional band gap after the complete one, which leads to a wider bandwidth and a smaller attenuation in this frequency range than the longitudinal-framed DwGs.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Wang, C.; Yao, X.; Wu, G.; Tang, L. Vibration Band Gap Characteristics of Two-Dimensional Periodic Double-Wall Grillages. Materials 2021, 14, 7174. https://doi.org/10.3390/ma14237174
Wang C, Yao X, Wu G, Tang L. Vibration Band Gap Characteristics of Two-Dimensional Periodic Double-Wall Grillages. Materials. 2021; 14(23):7174. https://doi.org/10.3390/ma14237174
Chicago/Turabian StyleWang, Chuanlong, Xiongliang Yao, Guoxun Wu, and Li Tang. 2021. "Vibration Band Gap Characteristics of Two-Dimensional Periodic Double-Wall Grillages" Materials 14, no. 23: 7174. https://doi.org/10.3390/ma14237174