Abstract
When designing mechanical structures, the desired acoustic performance and efficiency are often achieved by employing upfront CAE driven design and development process. The advantages of this approach are multi-fold compared to a purely testing based approach. However, making key design decisions based solely on the results obtained from these CAE models requires that the models be verified and validated by comparing the model predictions with known solutions of simple sources and experimental data respectively. The boundary element method is typically used for modeling and predicting the radiated sound-field from a vibrating structure. This involves discretizing the surface of the vibrating structure with discrete boundary elements, applying the appropriate boundary conditions and solving the Helmholtz integral equations to predict the sound-field. The theoretical background is presented along with verification examples involving simple and complex sound sources.
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Notes
- 1.
Alternatively, the Helmholtz equation can be obtained by applying Fourier transform to the acoustic wave equation (1.1).
- 2.
Direct BIE formulation can also be obtained using the weighted residual technique.
References
Von Estorff, O.: Boundary Elements in Acoustics, Advances and Applications. WIT Press, Southampton (2000)
Wu, T.W.: Boundary Element Acoustics, Fundamentals and Computer Codes. WIT Press, Southampton/Boston (2000)
Chen, G., Zhou, J.: Boundary Element Methods. Academic, New York (1992)
Kythe, P.K.: An Introduction to Boundary Element Methods. CRC Press, Boca Raton (1995)
Thacker, B.H., Doebling, S.W., Hemez, F.M., Anderson, M.C., Pepin, J.E., Rodriguez, E.A.: Concepts of model verification and validation. Los Alamos National Lab, LA-14167-MS (2004)
AIAA: Guide for the verification and validation of computational fluid dynamics simulations. American Institute of Aeronautics and Astronautics, AIAA-G-077-1998 (1998)
Oberkampf, W.L., Trucano, T.G.: Verification and validation benchmarks. Sandia National Lab, SAND2007-0853 (2007)
Copley, L.G.: Fundamental results concerning integral representations in acoustic radiation. J. Acoust. Soc. Am. 44 (1), 28–32 (1968)
Schenck, H.A.: Improved integral formulation for acoustic radiation problems. J. Acoust. Soc. Am. 44 (1), 41–58 (1968)
Burton, A.J., Miller, G.F.: The application of integral equation methods to the numerical solution of some exterior boundary-value problems. In: Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences. Royal Society of London (1971)
Gumerov, N.A., Duraiswami, R.: Fast Multipole Methods for the Helmholtz Equation in Three Dimensions. Elsevier Series in Electromagnetism. Elsevier Science, Burlington (2005). ISBN:9780080531595
Pasha, H.G.: Prediction of sound fields in closed and open cavities. Master’s thesis, Indian Institute of Technology Madras (2008)
Williams, E.G.: Fourier Acoustics: Sound Radiation and Nearfield Acoustical Holography. Academic, San Diego (1999)
Singh, R.: Gear Noise: Anatomy, Prediction and Solution. In: Proceedings of Internoise (2009)
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Pasha, H.G., Gunda, R. (2017). Techniques for Verification of Structural Acoustic Models. In: Allen, M., Mayes, R., Rixen, D. (eds) Dynamics of Coupled Structures, Volume 4. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-54930-9_1
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DOI: https://doi.org/10.1007/978-3-319-54930-9_1
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