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The Helmholtz Equation Least Squares Method [electronic resource] : For Reconstructing and Predicting Acoustic Radiation / by Sean F. Wu.

By: Wu, Sean F [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Modern Acoustics and Signal Processing: Publisher: New York, NY : Springer New York : Imprint: Springer, 2015Description: XIII, 233 p. 82 illus., 61 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781493916405.Subject(s): Engineering | Mathematical models | Acoustics | Vibration | Dynamical systems | Dynamics | Acoustical engineering | Engineering | Engineering Acoustics | Acoustics | Vibration, Dynamical Systems, Control | Mathematical Modeling and Industrial MathematicsAdditional physical formats: Printed edition:: No titleDDC classification: 620.2 Online resources: Click here to access online
Contents:
Chapter 1. Introduction -- Chapter 2. The Spherical Wave Functions -- Chapter 3. The Helmholtz Equation Least Squares (HELS) Method -- Chapter 4. Validity of the HELS Method -- Chapter 5. Implementation of the HELS Method -- Chapter 6. Combined Helmholtz Equation Least Squares (CHELS) Method -- Chapter 7. Hybrid HELS -- Chapter 8. Equivalent Sources Using HELS -- Chapter 9. Transient HELS -- Chapter 10. Panel Acoustic Contribution Analysis Using HELS -- References -- Index.
In: Springer eBooksSummary: This book gives a comprehensive introduction to the Helmholtz Equation Least Squares (HELS) method and its use in diagnosing noise and vibration problems. In contrast to the traditional NAH technologies, the HELS method does not seek an exact solution to the acoustic field produced by an arbitrarily shaped structure. Rather, it attempts to obtain the best approximation of an acoustic field through the expansion of certain basis functions. Therefore, it significantly simplifies the complexities of the reconstruction process, yet still enables one to acquire an understanding of the root causes of different noise and vibration problems that involve arbitrarily shaped surfaces in non-free space using far fewer measurement points than either Fourier acoustics or BEM based NAH. The examples given in this book illustrate that the HELS method may potentially become a practical and versatile tool for engineers to tackle a variety of complex noise and vibration issues in engineering applications.
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Chapter 1. Introduction -- Chapter 2. The Spherical Wave Functions -- Chapter 3. The Helmholtz Equation Least Squares (HELS) Method -- Chapter 4. Validity of the HELS Method -- Chapter 5. Implementation of the HELS Method -- Chapter 6. Combined Helmholtz Equation Least Squares (CHELS) Method -- Chapter 7. Hybrid HELS -- Chapter 8. Equivalent Sources Using HELS -- Chapter 9. Transient HELS -- Chapter 10. Panel Acoustic Contribution Analysis Using HELS -- References -- Index.

This book gives a comprehensive introduction to the Helmholtz Equation Least Squares (HELS) method and its use in diagnosing noise and vibration problems. In contrast to the traditional NAH technologies, the HELS method does not seek an exact solution to the acoustic field produced by an arbitrarily shaped structure. Rather, it attempts to obtain the best approximation of an acoustic field through the expansion of certain basis functions. Therefore, it significantly simplifies the complexities of the reconstruction process, yet still enables one to acquire an understanding of the root causes of different noise and vibration problems that involve arbitrarily shaped surfaces in non-free space using far fewer measurement points than either Fourier acoustics or BEM based NAH. The examples given in this book illustrate that the HELS method may potentially become a practical and versatile tool for engineers to tackle a variety of complex noise and vibration issues in engineering applications.

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