Transient Vibro-Acoustic Characteristics of Double-Layered Stiffened Cylindrical Shells
Abstract
1. Introduction
2. Prediction Method for Noise Under Transient Impact Loads
2.1. Transient Structural Dynamics Theory
2.2. Boundary Element Theory Based on Wave Equation
2.3. Transient Signal Analysis Method
2.4. Prediction Process of Underwater Transient Radiated Noise of Ship Structure
- (1)
- Divide the prediction solution for transient radiated noise into structural vibration response solution and radiated noise solution. Develop separate structural finite element (FEM) and acoustic boundary element (BEM) models. Subsequently, perform modal analysis on the FEM model to characterize its vibration behavior, and conduct preprocessing of the structural-acoustic mesh and fluid medium definition for the BEM model.
- (2)
- Define the boundary conditions and external fluid domain for the FEM model to approximate realistic operational conditions. Then, based on explicit dynamics, solve the transient vibration response of the structure under various impact loads.
- (3)
- Input the structural vibration response obtained in the previous step as boundary conditions for the acoustic field. Solve the acoustic boundary integral equation using the time-domain boundary element method (BEM) to obtain the time-varying acoustic pressure distribution within the fluid field.
- (4)
- Perform time-frequency characteristic analysis on the structural transient vibration response and acoustic radiation using wavelet transform.
3. Validation of Transient Impact Noise Calculation Method
3.1. Introduction of Double Stiffened Cylindrical Shell Model
3.2. Experiment Content
3.3. Numerical Model of Double Stiffened Cylindrical Shell
3.4. Comparative Analysis of Transient Vibration Response
3.5. Comparative Analysis of Transient Vibration Noise
4. Analysis of Transient Vibro-Acoustic Characteristics of Double Stiffened Cylindrical Shell
4.1. Transient Impact Load and Working Condition Setting
4.2. Modal Analysis of Double Stiffened Cylindrical Shell
4.3. Transient Vibration Response Analysis of Double Stiffened Cylindrical Shell
- (1)
- Effect of Transient Load Pulse Width on Vibration Response of Stiffened Cylindrical Shell
- (2)
- Influence of Transient Load Location on the Vibration Response of Stiffened Cylindrical Shells
4.4. Transient Radiated Noise Analysis of Double-Layered Stiffened Cylindrical Shells
- (1)
- Influence of Transient Load Pulse Width on Radiated Noise of Stiffened Cylindrical Shell
- (2)
- Effect of Transient Load Position on Radiated Noise from Double-Layered Stiffened Cylindrical Shells
4.5. Transient Vibro-Acoustic Characteristic Analysis of Double-Layered Stiffened Cylindrical Shells
- (1)
- When impact loads share identical peak magnitudes, a shorter pulse width reduces the time available for the vibration system to dissipate energy and attenuate the response, resulting in larger vibration amplitudes.
- (2)
- The energy distribution of structural vibration responses correlates with the modality of the structure. The smaller the pulse width of the excitation load is, the more natural modes of the structure can be excited, and the local modes of the structure will also affect the vibration of the structure at the assessment point.
- (3)
- When excitation positions are bilaterally configured, the structure exhibits the maximum vibration response amplitude. Additionally, the vibration system requires a longer duration to dissipate energy and attenuate the response, while also more readily exciting low-frequency vibration modes.
- (4)
- Compared with the structural vibration response, the attenuation time of radiation noise is longer than that of structural vibration, and the duration of low-frequency radiation noise is longer than that of high-frequency radiation noise.
5. Conclusions
- (1)
- The vibration acceleration and sound pressure levels obtained from experimental measurements and numerical simulations show excellent agreement, thereby validating the accuracy and effectiveness of the time-domain finite element/boundary element (FEM/BEM) method employed in this study.
- (2)
- The vibro-acoustic radiation generated by double-layered stiffened cylindrical shells under transient impact loads exhibits distinct oscillatory characteristics, which are closely related to the structure’s inherent damping and natural modes.
- (3)
- Both the pulse width and loading position of transient impact loads influence structural vibro-acoustic radiation. The smaller the pulse width of the transient impact load, the more effectively it excites the natural modes of the structure, thereby affecting the resulting vibro-acoustic radiation. Similarly, when the spatial distribution of the excitation positions resembles the structure’s low-order mode shapes, it also more readily excites the low-order natural modes of the structure.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Parameter | Numerical Value (m) |
---|---|
Shell radius | 0.75 |
Inner shell radius | 0.63 |
Model length | 2.0 |
Shell thickness | 0.01 |
Inner shell thickness | 0.01 |
Ring rib section a × b | 0.01 × 0.008 |
Ring rib spacing | 0.4 |
Condition Number | Load Amplitude (N) | Load Pulse Length(ms) | Loading Position | Inner Shell Thickness (m) | Vibration Acceleration Measuring Point Position | Sound Field Assessment Point Position |
---|---|---|---|---|---|---|
mode 1 | 1000 | 5 | M1 | 0.01 | A1, A4 | P1, P4 |
mode 2 | 1000 | 10 | M1 | 0.01 | A1, A4 | P1, P4 |
mode 3 | 1000 | 20 | M1 | 0.01 | A1, A4 | P1, P4 |
mode 4 | 1000 | 10 | M1, M2 | 0.01 | A1, A4 | P1, P4 |
mode 5 | 1000 | 10 | M1, M3 | 0.01 | A1, A4 | P1, P4 |
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Luo, Q.; Miao, W.; Zhao, Z.; Gao, C.; Pang, F. Transient Vibro-Acoustic Characteristics of Double-Layered Stiffened Cylindrical Shells. Acoustics 2025, 7, 50. https://doi.org/10.3390/acoustics7030050
Luo Q, Miao W, Zhao Z, Gao C, Pang F. Transient Vibro-Acoustic Characteristics of Double-Layered Stiffened Cylindrical Shells. Acoustics. 2025; 7(3):50. https://doi.org/10.3390/acoustics7030050
Chicago/Turabian StyleLuo, Qirui, Wang Miao, Zhe Zhao, Cong Gao, and Fuzhen Pang. 2025. "Transient Vibro-Acoustic Characteristics of Double-Layered Stiffened Cylindrical Shells" Acoustics 7, no. 3: 50. https://doi.org/10.3390/acoustics7030050
APA StyleLuo, Q., Miao, W., Zhao, Z., Gao, C., & Pang, F. (2025). Transient Vibro-Acoustic Characteristics of Double-Layered Stiffened Cylindrical Shells. Acoustics, 7(3), 50. https://doi.org/10.3390/acoustics7030050