Abstract
Most vibrating structures are subject to impulsive or transient force excitations in practice. Oftentimes transient excitations are unknown and therefore the resultant acoustic field cannot be predicted. Even if the excitations are given, prediction of a transient acoustic field produced by an arbitrarily shaped source is very difficult. The scarcity in literature on predicting, not to mention reconstructing a transient acoustic field, is the testimony of how challenging this problem is.
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References
M.R. Bai, Application of BEM (boundary element method)-based acoustic holography to radiation analysis of sound sources with arbitrarily shaped geometries. J. Acoust. Soc. Am. 92, 533–549 (1992)
B.-K. Kim, J.-G. Ih, On the reconstruction of vibro-acoustic field over the surface enclosing an interior space using the boundary element method. J. Acoust. Soc. Am. 100, 3003–3016 (1996)
Y.-K. Kim, Y.-H. Kim, Holographic reconstruction of active sources and surface admittance in an enclosure. J. Acoust. Soc. Am. 105, 2377–2383 (1999)
A.J. Burton, G.F. Miller, Application of the integral equation method to the numerical solution of some exterior boundary value problems. Proc. R. Soc. Lond. A 323, 202–210 (1971)
Z. Wang, S.F. Wu, Helmholtz equation-least-squares method for reconstructing the acoustic pressure field. J. Acoust. Soc. Am. 102, 2020–2032 (1997)
S.F. Wu, On reconstruction of acoustic pressure fields using the Helmholtz equation least squares method. J. Acoust. Soc. Am. 107, 2511–2522 (2000)
S.F. Wu, Methods for reconstructing acoustic quantities based on acoustic pressure measurements. J. Acoust. Soc. Am. 124, 2680–2697 (2008)
E.G. Williams, Regularization methods for near-field acoustic holography. J. Acoust. Soc. Am. 110, 1976–1988 (2001)
S.-C. Kang, J.-G. Ih, Use of nonsingular boundary integral formulation for reducing errors due to near-field measurements in the boundary element method based near-field acoustic holography. J. Acoust. Soc. Am. 109, 1320–1328 (2001)
S.F. Wu, X. Zhao, Combined Helmholtz equation least squares (CHELS) method for reconstructing acoustic radiation. J. Acoust. Soc. Am. 112, 179–188 (2002)
P.M. Morse, K.U. Ingard, Theoretical Acoustics (Princeton University Press, Princeton, 1986)
T.B. Hansen, Spherical expansions of time-domain acoustic fields: Application to near-field scanning. J. Acoust. Soc. Am. 98, 1204–1215 (1995)
S.F. Wu, Hybrid nearfield acoustical holography. J. Acoust. Soc. Am. 115(1), 207–217 (2004)
Z. Wang, Helmholtz equation-least-squares (HELS) method for inverse acoustic radiation problems, Ph.D. dissertation, Wayne State University, Detroit, Michigan, 1995
J. Hald, Use of Non-Stationary STSF for the Analysis of Transient Engine Noise Radiation (Brüel & Kjær, Nærum, 1999)
R. Bracewell, Heaviside’s unit step function, H(x), in The Fourier Transform and Its Applications, 3rd edn. (McGraw-Hill, New York, 2000)
M.C. Junger, D. Feit, Sound, Structures, and their Interactions (MIT, Cambridge, 1972)
W.R. LePage, Complex Variables and the Laplace Transform for Engineers (Dover, New York, 1961)
S.F. Wu, Transient sound radiation from impulsively accelerated bodies. J. Acoust. Soc. Am. 94, 542–553 (1993)
R.R. Craig Jr., Structural Dynamics: An Introduction to Computer Methods (Wiley, New York, 1981), Chap. 6, 123–127
P.C. Hansen, Rank-Deficient and Discrete Ill-Posed Problems (SIAM, Philadelphia, 1998)
S.F. Wu, H.-C. Lu, M.S. Bajwa, Reconstruction of transient acoustic radiation from a sphere. J. Acoust. Soc. Am. 117, 2065–2077 (2005)
M. S. Bajwa, Investigation on transient acoustic radiation and reconstruction, Ph.D. dissertation, Wane State University, December 2008
M. S. Bajwa, Investigation on transient acoustic radiation and reconstruction, Ph.D. dissertation, Wane State University, December 2008
M. S. Bajwa, Investigation on transient acoustic radiation and reconstruction, Ph.D. dissertation, Wane State University, December 2008
M. S. Bajwa, Investigation on transient acoustic radiation and reconstruction, Ph.D. dissertation, Wane State University, December 2008
M. S. Bajwa, Investigation on transient acoustic radiation and reconstruction, Ph.D. dissertation, Wane State University, December 2008
M. S. Bajwa, Investigation on transient acoustic radiation and reconstruction, Ph.D. dissertation, Wane State University, December 2008
M. S. Bajwa, Investigation on transient acoustic radiation and reconstruction, Ph.D. dissertation, Wane State University, December 2008
M. S. Bajwa, Investigation on transient acoustic radiation and reconstruction, Ph.D. dissertation, Wane State University, December 2008
M. S. Bajwa, Investigation on transient acoustic radiation and reconstruction, Ph.D. dissertation, Wane State University, December 2008
M. S. Bajwa, Investigation on transient acoustic radiation and reconstruction, Ph.D. dissertation, Wane State University, December 2008
M. S. Bajwa, Investigation on transient acoustic radiation and reconstruction, Ph.D. dissertation, Wane State University, December 2008
M. S. Bajwa, Investigation on transient acoustic radiation and reconstruction, Ph.D. dissertation, Wane State University, December 2008
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Wu, S.F. (2015). Transient HELS. In: The Helmholtz Equation Least Squares Method. Modern Acoustics and Signal Processing. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1640-5_9
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