Sound Transmission Analysis of Viscoelastic Composite Multilayered Shells Structures
Abstract
:1. Introduction
2. Shell Elements for Dynamic Problems
2.1. Preliminaries for Viscoelastic Shells
2.2. Variational Formulation
2.3. Shell Kinematic Field
2.4. Finite Element Approximation
3. Sound Radiation by Vibrating Shells
4. Numerical Results
4.1. Simple Metallic Shell Panel
4.2. Isotropic Multilayered Shells with Viscoelastic Core
4.3. Composite Shells Embedding Viscoelastic Layers
5. Conclusions
- The radiated sound power results are in good agreement with the other FEM results taken from the literature.
- As expected, the transmitted sound power of shell panels tend to the plate solution with the increase of the mean shell radius.
- In general, the spherical panels are more stiff with respect to the cylindrical panels, as a consequence the SPL peaks value of spherical shells shift to higher frequencies with respect to the cylindrical shells ones.
- The increasing of the shell mean radius leads to SPL peaks at lower frequencies with respect to small mean radius values.
- The boundary conditions and the lamination sequences influence the acoustic radiation, if the structure becomes more stiff than the SPL peaks values shift to higher frequencies.
- The use of interlaminar viscoelastic layers far from the reference shell surface leads to more damped SPL peak values at lower frequencies with respect to composite multilayered structures with viscoealstic cores.
- The presented shell finite element is revealed as an accurate and efficient tool for sound transmission analysis.
Author Contributions
Funding
Conflicts of Interest
References
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a | b | h | E | |||||||
(mm) | (m) | (mm) | (mm) | (GPa) | (-) | (kg/m3) | (GPa) | (-) | (kg/m3) | (m/s) |
---|---|---|---|---|---|---|---|---|---|---|
350 | 1 | 220 | 1 | 71 | 2814 | 340 |
(GPa) | (-) | (kg/m3) | (MPa) | (-) | (-) | (-) | (s) | (-) | (kg/m3) |
---|---|---|---|---|---|---|---|---|---|
71 | 2814 | 1570 | 1300 | ||||||
(mm) | (m) | (mm) | (m) | (mm) | (mm) | (kg/m3) | (m/s) | ||
300 | 1 | 200 | 1 | 340 |
(GPa) | (GPa) | (-) | (GPa) | (GPa) | (GPa) | (kg/m3) |
---|---|---|---|---|---|---|
3 | 1543 | |||||
(m) | (m) | (m) | (m) | (m) | (kg/m3) | (m/s) |
3 | 3 | 340 |
Lamination | Cylindrical | Spherical |
---|---|---|
196.8 | 229.7 | |
198.8 | 228.8 | |
236.7 | 272.7 | |
232.8 | 270.7 | |
236.7 | 272.7 | |
210.8 | 248.7 | |
193.8 | 224.3 | |
186.8 | 214.2 |
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Valvano, S.; Alaimo, A.; Orlando, C. Sound Transmission Analysis of Viscoelastic Composite Multilayered Shells Structures. Aerospace 2019, 6, 69. https://doi.org/10.3390/aerospace6060069
Valvano S, Alaimo A, Orlando C. Sound Transmission Analysis of Viscoelastic Composite Multilayered Shells Structures. Aerospace. 2019; 6(6):69. https://doi.org/10.3390/aerospace6060069
Chicago/Turabian StyleValvano, Stefano, Andrea Alaimo, and Calogero Orlando. 2019. "Sound Transmission Analysis of Viscoelastic Composite Multilayered Shells Structures" Aerospace 6, no. 6: 69. https://doi.org/10.3390/aerospace6060069