Sandwich Plate Structure Periodically Attached by S-Shaped Oscillators for Low Frequency Ship Vibration Isolation
Abstract
:1. Introduction
2. Model and Method
3. Results and Analyses
3.1. Band Structure, Eigenmode, and Transmission Power Spectrum of the S-Type Oscillator
3.2. Band Structure, Eigenmode, and Transmission Power Spectrum of Phononic Crystal Sandwich Plates
3.3. Experimental Validation
4. Application of Phononic Crystal Sandwich Plate in Ship Vibration Reduction
4.1. Vibration Characteristics of the Ship Power System Steerage Bulkhead
4.2. Vibration Isolation Characteristics of a Vibration Isolation Platform
5. Conclusions
- By analyzing the band structure and transmission power spectrum, the proposed phononic crystal sandwich structure has significant low-frequency flexural band gap and vibration isolation characteristics. The results of band structure and transmission curve are consistent, and the experimental results are consistent with the numerical results, which proves the accuracy and reliability of the numerical method.
- The period number of the S-type oscillator also has an important influence on the band gap; the higher the period number, the better the vibration reduction effect. The maximum attenuation amplitudes of the first band gap and the second band gap increase with the increase in the period number of the S-type oscillator.
- For the formation mechanism of the band gap, from the perspective of mode, the opening of the band gap in the phononic plate structure is the result of modal coupling and the weakening of an elastic wave. From the point of view of the structure, the phononic crystal plate structure uses the band gap of the S-type oscillator to open the band gap of the flexural wave consistent with its band gap.
- The sandwich plate structure of a real ship has a medium- and low-frequency flexural band gap and vibration suppression region in the frequency range of 45–78 Hz and 145–355 Hz, indicating that the proposed ship vibration isolation method has a good application prospect in medium- and low-frequency vibration control of the marine power system.
- The vibration isolation platform mounted on a steel plate is studied by numerical simulation. The phononic crystal plate structure has good adaptability and flexibility to various loads, regardless of the linear excitation or point excitation, and it can isolate low-frequency vibration to protect electronic equipment and precision instruments.
Author Contributions
Funding
Institutional Review Board Statement
Conflicts of Interest
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Material | Density (kg/m3) | Young’s Modulus (GPa) | Poisson’s Ratio |
---|---|---|---|
Steel | 7780 | 210.6 | 0.300 |
SR | 1300 | 11.75 × 10−5 | 0.469 |
Parameters | a | e | h1 | h2 | h3 | h4 | h | l | m |
---|---|---|---|---|---|---|---|---|---|
Dimension (mm) | 110 | 3 | 3 | 3 | 6 | 6 | 36 | 100 | 24 |
Material | Density (kg/m3) | Young’s Modulus (GPa) | Poisson’s Ratio |
---|---|---|---|
Steel | 7812 | 212.4 | 0.270 |
SR | 1303 | 17.75 × 10−5 | 0.471 |
Parameters | a | e | h1 | h2 | h3 | h4 | h | l | m |
---|---|---|---|---|---|---|---|---|---|
Dimension (mm) | 150 | 4 | 4 | 4 | 8 | 8 | 48 | 135 | 32 |
Parameters | a | e | h1 | h2 | h3 | h4 | h | l | m |
---|---|---|---|---|---|---|---|---|---|
Dimension (mm) | 440 | 6 | 6 | 6 | 12 | 12 | 72 | 400 | 96 |
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Shen, C.; Huang, J.; Zhang, Z.; Xue, J.; Qian, D. Sandwich Plate Structure Periodically Attached by S-Shaped Oscillators for Low Frequency Ship Vibration Isolation. Materials 2023, 16, 2467. https://doi.org/10.3390/ma16062467
Shen C, Huang J, Zhang Z, Xue J, Qian D. Sandwich Plate Structure Periodically Attached by S-Shaped Oscillators for Low Frequency Ship Vibration Isolation. Materials. 2023; 16(6):2467. https://doi.org/10.3390/ma16062467
Chicago/Turabian StyleShen, Chaoming, Jie Huang, Zexin Zhang, Jingya Xue, and Denghui Qian. 2023. "Sandwich Plate Structure Periodically Attached by S-Shaped Oscillators for Low Frequency Ship Vibration Isolation" Materials 16, no. 6: 2467. https://doi.org/10.3390/ma16062467